Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,3,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), 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: | \(0.681200660901\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 25.3 |
Dual form | 25.3.f.a.17.4 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29583 | + | 2.54321i | 0.647914 | + | 1.27160i | 0.948176 | + | 0.317747i | \(0.102926\pi\) |
−0.300261 | + | 0.953857i | \(0.597074\pi\) | |||||||
\(3\) | −0.363254 | − | 2.29349i | −0.121085 | − | 0.764498i | −0.971264 | − | 0.238005i | \(-0.923507\pi\) |
0.850179 | − | 0.526493i | \(-0.176493\pi\) | |||||||
\(4\) | −2.43759 | + | 3.35505i | −0.609397 | + | 0.838763i | ||||
\(5\) | −4.45624 | − | 2.26758i | −0.891248 | − | 0.453516i | ||||
\(6\) | 5.36211 | − | 3.89580i | 0.893685 | − | 0.649301i | ||||
\(7\) | −3.40272 | + | 3.40272i | −0.486103 | + | 0.486103i | −0.907074 | − | 0.420971i | \(-0.861689\pi\) |
0.420971 | + | 0.907074i | \(0.361689\pi\) | |||||||
\(8\) | −0.414625 | − | 0.0656701i | −0.0518281 | − | 0.00820876i | ||||
\(9\) | 3.43135 | − | 1.11491i | 0.381261 | − | 0.123879i | ||||
\(10\) | −0.00760491 | − | 14.2715i | −0.000760491 | − | 1.42715i | ||||
\(11\) | 2.91915 | − | 8.98423i | 0.265378 | − | 0.816749i | −0.726228 | − | 0.687453i | \(-0.758729\pi\) |
0.991606 | − | 0.129295i | \(-0.0412715\pi\) | |||||||
\(12\) | 8.58025 | + | 4.37186i | 0.715021 | + | 0.364321i | ||||
\(13\) | −11.3932 | + | 22.3605i | −0.876404 | + | 1.72004i | −0.205267 | + | 0.978706i | \(0.565806\pi\) |
−0.671137 | + | 0.741333i | \(0.734194\pi\) | |||||||
\(14\) | −13.0632 | − | 4.24448i | −0.933083 | − | 0.303177i | ||||
\(15\) | −3.58193 | + | 11.0441i | −0.238795 | + | 0.736271i | ||||
\(16\) | 4.75579 | + | 14.6368i | 0.297237 | + | 0.914802i | ||||
\(17\) | 1.24257 | − | 7.84527i | 0.0730923 | − | 0.461486i | −0.923811 | − | 0.382849i | \(-0.874943\pi\) |
0.996903 | − | 0.0786376i | \(-0.0250570\pi\) | |||||||
\(18\) | 7.28190 | + | 7.28190i | 0.404550 | + | 0.404550i | ||||
\(19\) | −8.55000 | − | 11.7681i | −0.450000 | − | 0.619372i | 0.522397 | − | 0.852702i | \(-0.325038\pi\) |
−0.972398 | + | 0.233330i | \(0.925038\pi\) | |||||||
\(20\) | 18.4703 | − | 9.42350i | 0.923516 | − | 0.471175i | ||||
\(21\) | 9.04017 | + | 6.56807i | 0.430484 | + | 0.312765i | ||||
\(22\) | 26.6315 | − | 4.21801i | 1.21052 | − | 0.191728i | ||||
\(23\) | 13.3954 | − | 6.82527i | 0.582407 | − | 0.296751i | −0.137856 | − | 0.990452i | \(-0.544021\pi\) |
0.720263 | + | 0.693701i | \(0.244021\pi\) | |||||||
\(24\) | 0.974794i | 0.0406164i | ||||||||
\(25\) | 14.7162 | + | 20.2098i | 0.588647 | + | 0.808390i | ||||
\(26\) | −71.6311 | −2.75504 | ||||||||
\(27\) | −13.2913 | − | 26.0857i | −0.492271 | − | 0.966137i | ||||
\(28\) | −3.12188 | − | 19.7107i | −0.111496 | − | 0.703955i | ||||
\(29\) | −7.08284 | + | 9.74869i | −0.244236 | + | 0.336162i | −0.913482 | − | 0.406879i | \(-0.866617\pi\) |
0.669246 | + | 0.743041i | \(0.266617\pi\) | |||||||
\(30\) | −32.7289 | + | 5.20163i | −1.09096 | + | 0.173388i | ||||
\(31\) | 36.2574 | − | 26.3425i | 1.16959 | − | 0.849758i | 0.178632 | − | 0.983916i | \(-0.442833\pi\) |
0.990960 | + | 0.134157i | \(0.0428328\pi\) | |||||||
\(32\) | −32.2492 | + | 32.2492i | −1.00779 | + | 1.00779i | ||||
\(33\) | −21.6657 | − | 3.43151i | −0.656535 | − | 0.103985i | ||||
\(34\) | 21.5623 | − | 7.00602i | 0.634185 | − | 0.206059i | ||||
\(35\) | 22.8793 | − | 7.44741i | 0.653694 | − | 0.212783i | ||||
\(36\) | −4.62363 | + | 14.2301i | −0.128434 | + | 0.395280i | ||||
\(37\) | −20.9020 | − | 10.6501i | −0.564918 | − | 0.287840i | 0.148116 | − | 0.988970i | \(-0.452679\pi\) |
−0.713033 | + | 0.701130i | \(0.752679\pi\) | |||||||
\(38\) | 18.8493 | − | 36.9938i | 0.496034 | − | 0.973522i | ||||
\(39\) | 55.4223 | + | 18.0078i | 1.42109 | + | 0.461739i | ||||
\(40\) | 1.69876 | + | 1.23284i | 0.0424689 | + | 0.0308209i | ||||
\(41\) | 1.06665 | + | 3.28283i | 0.0260160 | + | 0.0800689i | 0.963222 | − | 0.268709i | \(-0.0865969\pi\) |
−0.937206 | + | 0.348778i | \(0.886597\pi\) | |||||||
\(42\) | −4.98944 | + | 31.5021i | −0.118796 | + | 0.750050i | ||||
\(43\) | 7.21708 | + | 7.21708i | 0.167839 | + | 0.167839i | 0.786029 | − | 0.618190i | \(-0.212134\pi\) |
−0.618190 | + | 0.786029i | \(0.712134\pi\) | |||||||
\(44\) | 23.0269 | + | 31.6938i | 0.523338 | + | 0.720313i | ||||
\(45\) | −17.8191 | − | 2.81253i | −0.395980 | − | 0.0625007i | ||||
\(46\) | 34.7162 | + | 25.2228i | 0.754699 | + | 0.548321i | ||||
\(47\) | 7.37462 | − | 1.16803i | 0.156907 | − | 0.0248516i | −0.0774868 | − | 0.996993i | \(-0.524690\pi\) |
0.234394 | + | 0.972142i | \(0.424690\pi\) | |||||||
\(48\) | 31.8419 | − | 16.2243i | 0.663373 | − | 0.338006i | ||||
\(49\) | 25.8430i | 0.527408i | ||||||||
\(50\) | −32.3279 | + | 63.6147i | −0.646559 | + | 1.27229i | ||||
\(51\) | −18.4444 | −0.361656 | ||||||||
\(52\) | −47.2486 | − | 92.7307i | −0.908628 | − | 1.78328i | ||||
\(53\) | −4.72318 | − | 29.8210i | −0.0891166 | − | 0.562660i | −0.991333 | − | 0.131376i | \(-0.958061\pi\) |
0.902216 | − | 0.431284i | \(-0.141939\pi\) | |||||||
\(54\) | 49.1180 | − | 67.6052i | 0.909593 | − | 1.25195i | ||||
\(55\) | −33.3809 | + | 33.4165i | −0.606926 | + | 0.607573i | ||||
\(56\) | 1.63431 | − | 1.18739i | 0.0291841 | − | 0.0212035i | ||||
\(57\) | −23.8842 | + | 23.8842i | −0.419021 | + | 0.419021i | ||||
\(58\) | −33.9711 | − | 5.38049i | −0.585708 | − | 0.0927671i | ||||
\(59\) | −62.8788 | + | 20.4306i | −1.06574 | + | 0.346281i | −0.788828 | − | 0.614614i | \(-0.789312\pi\) |
−0.276914 | + | 0.960895i | \(0.589312\pi\) | |||||||
\(60\) | −28.3222 | − | 38.9384i | −0.472036 | − | 0.648974i | ||||
\(61\) | −13.4556 | + | 41.4121i | −0.220584 | + | 0.678887i | 0.778126 | + | 0.628108i | \(0.216170\pi\) |
−0.998710 | + | 0.0507789i | \(0.983830\pi\) | |||||||
\(62\) | 113.978 | + | 58.0746i | 1.83835 | + | 0.936687i | ||||
\(63\) | −7.88219 | + | 15.4697i | −0.125114 | + | 0.245550i | ||||
\(64\) | −65.2583 | − | 21.2037i | −1.01966 | − | 0.331308i | ||||
\(65\) | 101.475 | − | 73.8088i | 1.56116 | − | 1.13552i | ||||
\(66\) | −19.3480 | − | 59.5469i | −0.293151 | − | 0.902226i | ||||
\(67\) | 9.10644 | − | 57.4958i | 0.135917 | − | 0.858146i | −0.821662 | − | 0.569975i | \(-0.806953\pi\) |
0.957579 | − | 0.288171i | \(-0.0930472\pi\) | |||||||
\(68\) | 23.2924 | + | 23.2924i | 0.342536 | + | 0.342536i | ||||
\(69\) | −20.5196 | − | 28.2428i | −0.297386 | − | 0.409317i | ||||
\(70\) | 48.5879 | + | 48.5362i | 0.694113 | + | 0.693374i | ||||
\(71\) | −38.6836 | − | 28.1053i | −0.544839 | − | 0.395849i | 0.281040 | − | 0.959696i | \(-0.409321\pi\) |
−0.825879 | + | 0.563847i | \(0.809321\pi\) | |||||||
\(72\) | −1.49594 | + | 0.236934i | −0.0207769 | + | 0.00329074i | ||||
\(73\) | −69.7644 | + | 35.5467i | −0.955676 | + | 0.486941i | −0.861021 | − | 0.508569i | \(-0.830175\pi\) |
−0.0946548 | + | 0.995510i | \(0.530175\pi\) | |||||||
\(74\) | − | 66.9587i | − | 0.904847i | ||||||
\(75\) | 41.0052 | − | 41.0927i | 0.546736 | − | 0.547903i | ||||
\(76\) | 60.3239 | 0.793736 | ||||||||
\(77\) | 20.6378 | + | 40.5039i | 0.268023 | + | 0.526025i | ||||
\(78\) | 26.0203 | + | 164.285i | 0.333593 | + | 2.10622i | ||||
\(79\) | −56.8362 | + | 78.2283i | −0.719445 | + | 0.990231i | 0.280097 | + | 0.959972i | \(0.409633\pi\) |
−0.999542 | + | 0.0302595i | \(0.990367\pi\) | |||||||
\(80\) | 11.9972 | − | 76.0094i | 0.149965 | − | 0.950117i | ||||
\(81\) | −28.7293 | + | 20.8731i | −0.354683 | + | 0.257692i | ||||
\(82\) | −6.96670 | + | 6.96670i | −0.0849598 | + | 0.0849598i | ||||
\(83\) | 74.5768 | + | 11.8118i | 0.898516 | + | 0.142311i | 0.588573 | − | 0.808444i | \(-0.299690\pi\) |
0.309943 | + | 0.950755i | \(0.399690\pi\) | |||||||
\(84\) | −44.0724 | + | 14.3200i | −0.524672 | + | 0.170476i | ||||
\(85\) | −23.3270 | + | 32.1428i | −0.274435 | + | 0.378151i | ||||
\(86\) | −9.00243 | + | 27.7066i | −0.104679 | + | 0.322170i | ||||
\(87\) | 24.9314 | + | 12.7032i | 0.286568 | + | 0.146014i | ||||
\(88\) | −1.80035 | + | 3.53338i | −0.0204585 | + | 0.0401521i | ||||
\(89\) | 25.3812 | + | 8.24685i | 0.285182 | + | 0.0926612i | 0.448115 | − | 0.893976i | \(-0.352095\pi\) |
−0.162933 | + | 0.986637i | \(0.552095\pi\) | |||||||
\(90\) | −15.9376 | − | 48.9622i | −0.177085 | − | 0.544024i | ||||
\(91\) | −37.3185 | − | 114.855i | −0.410094 | − | 1.26214i | ||||
\(92\) | −9.75321 | + | 61.5793i | −0.106013 | + | 0.669341i | ||||
\(93\) | −73.5870 | − | 73.5870i | −0.791258 | − | 0.791258i | ||||
\(94\) | 12.5268 | + | 17.2416i | 0.133264 | + | 0.183422i | ||||
\(95\) | 11.4159 | + | 71.8292i | 0.120167 | + | 0.756097i | ||||
\(96\) | 85.6778 | + | 62.2486i | 0.892477 | + | 0.648423i | ||||
\(97\) | 111.905 | − | 17.7241i | 1.15366 | − | 0.182722i | 0.449848 | − | 0.893105i | \(-0.351478\pi\) |
0.703815 | + | 0.710383i | \(0.251478\pi\) | |||||||
\(98\) | −65.7240 | + | 33.4881i | −0.670653 | + | 0.341715i | ||||
\(99\) | − | 34.0827i | − | 0.344269i | ||||||
\(100\) | −103.677 | + | 0.110493i | −1.03677 | + | 0.00110493i | ||||
\(101\) | 152.945 | 1.51431 | 0.757155 | − | 0.653235i | \(-0.226589\pi\) | ||||
0.757155 | + | 0.653235i | \(0.226589\pi\) | |||||||
\(102\) | −23.9008 | − | 46.9080i | −0.234322 | − | 0.459883i | ||||
\(103\) | −12.6907 | − | 80.1258i | −0.123211 | − | 0.777921i | −0.969481 | − | 0.245167i | \(-0.921157\pi\) |
0.846270 | − | 0.532754i | \(-0.178843\pi\) | |||||||
\(104\) | 6.19234 | − | 8.52302i | 0.0595417 | − | 0.0819521i | ||||
\(105\) | −25.3916 | − | 49.7682i | −0.241824 | − | 0.473983i | ||||
\(106\) | 69.7205 | − | 50.6549i | 0.657740 | − | 0.477876i | ||||
\(107\) | −38.5981 | + | 38.5981i | −0.360730 | + | 0.360730i | −0.864082 | − | 0.503352i | \(-0.832100\pi\) |
0.503352 | + | 0.864082i | \(0.332100\pi\) | |||||||
\(108\) | 119.918 | + | 18.9931i | 1.11035 | + | 0.175862i | ||||
\(109\) | 78.0953 | − | 25.3747i | 0.716471 | − | 0.232795i | 0.0719783 | − | 0.997406i | \(-0.477069\pi\) |
0.644492 | + | 0.764611i | \(0.277069\pi\) | |||||||
\(110\) | −128.241 | − | 41.5925i | −1.16583 | − | 0.378114i | ||||
\(111\) | −16.8332 | + | 51.8072i | −0.151650 | + | 0.466731i | ||||
\(112\) | −65.9877 | − | 33.6224i | −0.589176 | − | 0.300200i | ||||
\(113\) | 3.93246 | − | 7.71788i | 0.0348005 | − | 0.0682998i | −0.872952 | − | 0.487807i | \(-0.837797\pi\) |
0.907752 | + | 0.419507i | \(0.137797\pi\) | |||||||
\(114\) | −91.6922 | − | 29.7926i | −0.804317 | − | 0.261339i | ||||
\(115\) | −75.1698 | + | 0.0400559i | −0.653650 | + | 0.000348312i | ||||
\(116\) | −15.4423 | − | 47.5266i | −0.133124 | − | 0.409712i | ||||
\(117\) | −14.1642 | + | 89.4293i | −0.121062 | + | 0.764353i | ||||
\(118\) | −133.439 | − | 133.439i | −1.13084 | − | 1.13084i | ||||
\(119\) | 22.4672 | + | 30.9234i | 0.188800 | + | 0.259860i | ||||
\(120\) | 2.21042 | − | 4.34392i | 0.0184202 | − | 0.0361993i | ||||
\(121\) | 25.6961 | + | 18.6693i | 0.212364 | + | 0.154292i | ||||
\(122\) | −122.756 | + | 19.4426i | −1.00619 | + | 0.159366i | ||||
\(123\) | 7.14167 | − | 3.63886i | 0.0580624 | − | 0.0295843i | ||||
\(124\) | 185.858i | 1.49885i | ||||||||
\(125\) | −19.7517 | − | 123.430i | −0.158013 | − | 0.987437i | ||||
\(126\) | −49.5566 | −0.393306 | ||||||||
\(127\) | 29.7240 | + | 58.3367i | 0.234048 | + | 0.459344i | 0.977921 | − | 0.208977i | \(-0.0670133\pi\) |
−0.743873 | + | 0.668321i | \(0.767013\pi\) | |||||||
\(128\) | −2.10002 | − | 13.2590i | −0.0164064 | − | 0.103586i | ||||
\(129\) | 13.9307 | − | 19.1740i | 0.107990 | − | 0.148635i | ||||
\(130\) | 319.206 | + | 162.429i | 2.45543 | + | 1.24945i | ||||
\(131\) | −119.517 | + | 86.8339i | −0.912341 | + | 0.662855i | −0.941606 | − | 0.336717i | \(-0.890683\pi\) |
0.0292648 | + | 0.999572i | \(0.490683\pi\) | |||||||
\(132\) | 64.3249 | − | 64.3249i | 0.487310 | − | 0.487310i | ||||
\(133\) | 69.1368 | + | 10.9502i | 0.519825 | + | 0.0823322i | ||||
\(134\) | 158.024 | − | 51.3451i | 1.17928 | − | 0.383173i | ||||
\(135\) | 0.0780036 | + | 146.383i | 0.000577805 | + | 1.08432i | ||||
\(136\) | −1.03040 | + | 3.17124i | −0.00757646 | + | 0.0233180i | ||||
\(137\) | −104.643 | − | 53.3182i | −0.763817 | − | 0.389184i | 0.0282640 | − | 0.999600i | \(-0.491002\pi\) |
−0.792081 | + | 0.610416i | \(0.791002\pi\) | |||||||
\(138\) | 45.2375 | − | 88.7836i | 0.327808 | − | 0.643359i | ||||
\(139\) | 130.244 | + | 42.3189i | 0.937008 | + | 0.304452i | 0.737425 | − | 0.675429i | \(-0.236041\pi\) |
0.199582 | + | 0.979881i | \(0.436041\pi\) | |||||||
\(140\) | −30.7838 | + | 94.9149i | −0.219884 | + | 0.677964i | ||||
\(141\) | −5.35771 | − | 16.4894i | −0.0379980 | − | 0.116946i | ||||
\(142\) | 21.3502 | − | 134.800i | 0.150354 | − | 0.949295i | ||||
\(143\) | 167.633 | + | 167.633i | 1.17226 | + | 1.17226i | ||||
\(144\) | 32.6376 | + | 44.9218i | 0.226650 | + | 0.311957i | ||||
\(145\) | 53.6688 | − | 27.3816i | 0.370129 | − | 0.188839i | ||||
\(146\) | −180.805 | − | 131.363i | −1.23839 | − | 0.899745i | ||||
\(147\) | 59.2707 | − | 9.38755i | 0.403202 | − | 0.0638609i | ||||
\(148\) | 86.6820 | − | 44.1667i | 0.585689 | − | 0.298423i | ||||
\(149\) | − | 186.174i | − | 1.24949i | −0.780830 | − | 0.624744i | \(-0.785203\pi\) | ||
0.780830 | − | 0.624744i | \(-0.214797\pi\) | |||||||
\(150\) | 157.643 | + | 51.0356i | 1.05095 | + | 0.340238i | ||||
\(151\) | −72.5696 | −0.480594 | −0.240297 | − | 0.970699i | \(-0.577245\pi\) | ||||
−0.240297 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(152\) | 2.77223 | + | 5.44081i | 0.0182384 | + | 0.0357948i | ||||
\(153\) | −4.48311 | − | 28.3052i | −0.0293014 | − | 0.185002i | ||||
\(154\) | −76.2668 | + | 104.972i | −0.495239 | + | 0.681638i | ||||
\(155\) | −221.305 | + | 35.1722i | −1.42778 | + | 0.226917i | ||||
\(156\) | −195.514 | + | 142.049i | −1.25329 | + | 0.910572i | ||||
\(157\) | −26.4812 | + | 26.4812i | −0.168670 | + | 0.168670i | −0.786395 | − | 0.617724i | \(-0.788055\pi\) |
0.617724 | + | 0.786395i | \(0.288055\pi\) | |||||||
\(158\) | −272.601 | − | 43.1757i | −1.72532 | − | 0.273264i | ||||
\(159\) | −66.6785 | + | 21.6652i | −0.419362 | + | 0.136259i | ||||
\(160\) | 216.837 | − | 70.5825i | 1.35523 | − | 0.441141i | ||||
\(161\) | −22.3562 | + | 68.8052i | −0.138858 | + | 0.427361i | ||||
\(162\) | −90.3127 | − | 46.0166i | −0.557486 | − | 0.284053i | ||||
\(163\) | −2.42800 | + | 4.76522i | −0.0148957 | + | 0.0292345i | −0.898334 | − | 0.439312i | \(-0.855222\pi\) |
0.883439 | + | 0.468547i | \(0.155222\pi\) | |||||||
\(164\) | −13.6141 | − | 4.42350i | −0.0830129 | − | 0.0269725i | ||||
\(165\) | 88.7663 | + | 64.4202i | 0.537977 | + | 0.390426i | ||||
\(166\) | 66.5989 | + | 204.970i | 0.401198 | + | 1.23476i | ||||
\(167\) | 37.9483 | − | 239.596i | 0.227236 | − | 1.43471i | −0.565301 | − | 0.824885i | \(-0.691240\pi\) |
0.792537 | − | 0.609824i | \(-0.208760\pi\) | |||||||
\(168\) | −3.31695 | − | 3.31695i | −0.0197438 | − | 0.0197438i | ||||
\(169\) | −270.851 | − | 372.794i | −1.60267 | − | 2.20588i | ||||
\(170\) | −111.974 | − | 17.6737i | −0.658668 | − | 0.103963i | ||||
\(171\) | −42.4585 | − | 30.8479i | −0.248295 | − | 0.180397i | ||||
\(172\) | −41.8060 | + | 6.62141i | −0.243058 | + | 0.0384966i | ||||
\(173\) | 2.67137 | − | 1.36113i | 0.0154414 | − | 0.00786780i | −0.446253 | − | 0.894907i | \(-0.647242\pi\) |
0.461694 | + | 0.887039i | \(0.347242\pi\) | |||||||
\(174\) | 79.8669i | 0.459005i | ||||||||
\(175\) | −118.843 | − | 18.6931i | −0.679104 | − | 0.106818i | ||||
\(176\) | 145.384 | 0.826043 | ||||||||
\(177\) | 69.6983 | + | 136.791i | 0.393776 | + | 0.772828i | ||||
\(178\) | 11.9162 | + | 75.2361i | 0.0669451 | + | 0.422675i | ||||
\(179\) | 110.053 | − | 151.475i | 0.614821 | − | 0.846229i | −0.382142 | − | 0.924104i | \(-0.624813\pi\) |
0.996963 | + | 0.0778749i | \(0.0248135\pi\) | |||||||
\(180\) | 52.8718 | − | 52.9282i | 0.293732 | − | 0.294045i | ||||
\(181\) | 106.594 | − | 77.4449i | 0.588916 | − | 0.427872i | −0.253011 | − | 0.967463i | \(-0.581421\pi\) |
0.841927 | + | 0.539591i | \(0.181421\pi\) | |||||||
\(182\) | 243.741 | − | 243.741i | 1.33923 | − | 1.33923i | ||||
\(183\) | 99.8662 | + | 15.8172i | 0.545717 | + | 0.0864330i | ||||
\(184\) | −6.00226 | + | 1.95025i | −0.0326210 | + | 0.0105992i | ||||
\(185\) | 68.9943 | + | 94.8562i | 0.372942 | + | 0.512736i | ||||
\(186\) | 91.7908 | − | 282.503i | 0.493499 | − | 1.51883i | ||||
\(187\) | −66.8565 | − | 34.0651i | −0.357521 | − | 0.182166i | ||||
\(188\) | −14.0575 | + | 27.5894i | −0.0747740 | + | 0.146752i | ||||
\(189\) | 133.989 | + | 43.5357i | 0.708937 | + | 0.230347i | ||||
\(190\) | −167.883 | + | 122.111i | −0.883597 | + | 0.642691i | ||||
\(191\) | 115.526 | + | 355.553i | 0.604849 | + | 1.86153i | 0.497824 | + | 0.867278i | \(0.334133\pi\) |
0.107026 | + | 0.994256i | \(0.465867\pi\) | |||||||
\(192\) | −24.9252 | + | 157.372i | −0.129819 | + | 0.819645i | ||||
\(193\) | 42.8517 | + | 42.8517i | 0.222029 | + | 0.222029i | 0.809353 | − | 0.587323i | \(-0.199818\pi\) |
−0.587323 | + | 0.809353i | \(0.699818\pi\) | |||||||
\(194\) | 190.086 | + | 261.631i | 0.979825 | + | 1.34861i | ||||
\(195\) | −206.141 | − | 205.922i | −1.05713 | − | 1.05601i | ||||
\(196\) | −86.7046 | − | 62.9945i | −0.442370 | − | 0.321401i | ||||
\(197\) | −362.955 | + | 57.4864i | −1.84241 | + | 0.291809i | −0.977629 | − | 0.210337i | \(-0.932544\pi\) |
−0.864783 | + | 0.502146i | \(0.832544\pi\) | |||||||
\(198\) | 86.6793 | − | 44.1653i | 0.437774 | − | 0.223057i | ||||
\(199\) | 272.138i | 1.36753i | 0.729703 | + | 0.683764i | \(0.239658\pi\) | ||||
−0.729703 | + | 0.683764i | \(0.760342\pi\) | |||||||
\(200\) | −4.77451 | − | 9.34587i | −0.0238726 | − | 0.0467294i | ||||
\(201\) | −135.174 | −0.672508 | ||||||||
\(202\) | 198.191 | + | 388.971i | 0.981143 | + | 1.92560i | ||||
\(203\) | −9.07115 | − | 57.2730i | −0.0446855 | − | 0.282133i | ||||
\(204\) | 44.9600 | − | 61.8821i | 0.220392 | − | 0.303343i | ||||
\(205\) | 2.69079 | − | 17.0478i | 0.0131258 | − | 0.0831599i | ||||
\(206\) | 187.332 | − | 136.104i | 0.909377 | − | 0.660701i | ||||
\(207\) | 38.3546 | − | 38.3546i | 0.185288 | − | 0.185288i | ||||
\(208\) | −381.471 | − | 60.4191i | −1.83400 | − | 0.290476i | ||||
\(209\) | −130.686 | + | 42.4624i | −0.625291 | + | 0.203169i | ||||
\(210\) | 93.6677 | − | 129.067i | 0.446036 | − | 0.614605i | ||||
\(211\) | 116.986 | − | 360.045i | 0.554435 | − | 1.70638i | −0.142995 | − | 0.989723i | \(-0.545673\pi\) |
0.697430 | − | 0.716653i | \(-0.254327\pi\) | |||||||
\(212\) | 111.564 | + | 56.8448i | 0.526246 | + | 0.268136i | ||||
\(213\) | −50.4073 | + | 98.9298i | −0.236654 | + | 0.464459i | ||||
\(214\) | −148.179 | − | 48.1464i | −0.692427 | − | 0.224983i | ||||
\(215\) | −15.7958 | − | 48.5264i | −0.0734687 | − | 0.225704i | ||||
\(216\) | 3.79786 | + | 11.6886i | 0.0175827 | + | 0.0541140i | ||||
\(217\) | −33.7375 | + | 213.010i | −0.155472 | + | 0.981612i | ||||
\(218\) | 165.731 | + | 165.731i | 0.760235 | + | 0.760235i | ||||
\(219\) | 106.868 | + | 147.092i | 0.487983 | + | 0.671651i | ||||
\(220\) | −30.7452 | − | 193.450i | −0.139751 | − | 0.879320i | ||||
\(221\) | 161.267 | + | 117.168i | 0.729717 | + | 0.530170i | ||||
\(222\) | −153.569 | + | 24.3230i | −0.691754 | + | 0.109563i | ||||
\(223\) | 22.2647 | − | 11.3445i | 0.0998419 | − | 0.0508720i | −0.403356 | − | 0.915043i | \(-0.632157\pi\) |
0.503198 | + | 0.864171i | \(0.332157\pi\) | |||||||
\(224\) | − | 219.470i | − | 0.979776i | ||||||
\(225\) | 73.0285 | + | 52.9395i | 0.324571 | + | 0.235287i | ||||
\(226\) | 24.7240 | 0.109398 | ||||||||
\(227\) | −11.1383 | − | 21.8602i | −0.0490676 | − | 0.0963006i | 0.865171 | − | 0.501477i | \(-0.167210\pi\) |
−0.914238 | + | 0.405177i | \(0.867210\pi\) | |||||||
\(228\) | −21.9129 | − | 138.352i | −0.0961091 | − | 0.606809i | ||||
\(229\) | −73.8456 | + | 101.640i | −0.322470 | + | 0.443842i | −0.939219 | − | 0.343318i | \(-0.888449\pi\) |
0.616750 | + | 0.787159i | \(0.288449\pi\) | |||||||
\(230\) | −97.5090 | − | 191.120i | −0.423952 | − | 0.830958i | ||||
\(231\) | 85.3987 | − | 62.0458i | 0.369691 | − | 0.268596i | ||||
\(232\) | 3.57692 | − | 3.57692i | 0.0154177 | − | 0.0154177i | ||||
\(233\) | 69.1842 | + | 10.9577i | 0.296928 | + | 0.0470287i | 0.303121 | − | 0.952952i | \(-0.401971\pi\) |
−0.00619321 | + | 0.999981i | \(0.501971\pi\) | |||||||
\(234\) | −245.792 | + | 79.8625i | −1.05039 | + | 0.341293i | ||||
\(235\) | −35.5117 | − | 11.5175i | −0.151114 | − | 0.0490108i | ||||
\(236\) | 84.7270 | − | 260.763i | 0.359013 | − | 1.10493i | ||||
\(237\) | 200.062 | + | 101.937i | 0.844143 | + | 0.430112i | ||||
\(238\) | −49.5310 | + | 97.2100i | −0.208113 | + | 0.408445i | ||||
\(239\) | −182.207 | − | 59.2026i | −0.762371 | − | 0.247709i | −0.0980752 | − | 0.995179i | \(-0.531269\pi\) |
−0.664296 | + | 0.747470i | \(0.731269\pi\) | |||||||
\(240\) | −178.685 | + | 0.0952164i | −0.744521 | + | 0.000396735i | ||||
\(241\) | 54.7527 | + | 168.511i | 0.227190 | + | 0.699217i | 0.998062 | + | 0.0622279i | \(0.0198206\pi\) |
−0.770872 | + | 0.636990i | \(0.780179\pi\) | |||||||
\(242\) | −14.1822 | + | 89.5426i | −0.0586039 | + | 0.370011i | ||||
\(243\) | −128.007 | − | 128.007i | −0.526779 | − | 0.526779i | ||||
\(244\) | −106.141 | − | 146.090i | −0.435002 | − | 0.598729i | ||||
\(245\) | 58.6010 | − | 115.163i | 0.239188 | − | 0.470051i | ||||
\(246\) | 18.5088 | + | 13.4474i | 0.0752389 | + | 0.0546643i | ||||
\(247\) | 360.552 | − | 57.1059i | 1.45973 | − | 0.231198i | ||||
\(248\) | −16.7631 | + | 8.54123i | −0.0675932 | + | 0.0344404i | ||||
\(249\) | − | 175.332i | − | 0.704145i | ||||||
\(250\) | 288.312 | − | 210.176i | 1.15325 | − | 0.840705i | ||||
\(251\) | −241.748 | −0.963141 | −0.481570 | − | 0.876407i | \(-0.659933\pi\) | ||||
−0.481570 | + | 0.876407i | \(0.659933\pi\) | |||||||
\(252\) | −32.6880 | − | 64.1539i | −0.129714 | − | 0.254579i | ||||
\(253\) | −22.2167 | − | 140.271i | −0.0878132 | − | 0.554431i | ||||
\(254\) | −109.845 | + | 151.189i | −0.432461 | + | 0.595231i | ||||
\(255\) | 82.1929 | + | 41.8242i | 0.322325 | + | 0.164017i | ||||
\(256\) | −191.049 | + | 138.805i | −0.746285 | + | 0.542208i | ||||
\(257\) | 196.919 | − | 196.919i | 0.766221 | − | 0.766221i | −0.211218 | − | 0.977439i | \(-0.567743\pi\) |
0.977439 | + | 0.211218i | \(0.0677429\pi\) | |||||||
\(258\) | 66.8151 | + | 10.5825i | 0.258973 | + | 0.0410174i | ||||
\(259\) | 107.363 | − | 34.8843i | 0.414528 | − | 0.134688i | ||||
\(260\) | 0.277291 | + | 520.370i | 0.00106650 | + | 2.00142i | ||||
\(261\) | −13.4348 | + | 41.3479i | −0.0514742 | + | 0.158421i | ||||
\(262\) | −375.710 | − | 191.434i | −1.43401 | − | 0.730663i | ||||
\(263\) | −69.8162 | + | 137.022i | −0.265461 | + | 0.520996i | −0.984806 | − | 0.173656i | \(-0.944442\pi\) |
0.719346 | + | 0.694652i | \(0.244442\pi\) | |||||||
\(264\) | 8.75777 | + | 2.84557i | 0.0331734 | + | 0.0107787i | ||||
\(265\) | −46.5738 | + | 143.600i | −0.175750 | + | 0.541885i | ||||
\(266\) | 61.7408 | + | 190.019i | 0.232108 | + | 0.714356i | ||||
\(267\) | 9.69428 | − | 61.2073i | 0.0363082 | − | 0.229241i | ||||
\(268\) | 170.704 | + | 170.704i | 0.636954 | + | 0.636954i | ||||
\(269\) | 24.6122 | + | 33.8758i | 0.0914951 | + | 0.125932i | 0.852310 | − | 0.523036i | \(-0.175201\pi\) |
−0.760815 | + | 0.648968i | \(0.775201\pi\) | |||||||
\(270\) | −372.182 | + | 189.886i | −1.37845 | + | 0.703282i | ||||
\(271\) | −248.618 | − | 180.632i | −0.917410 | − | 0.666537i | 0.0254683 | − | 0.999676i | \(-0.491892\pi\) |
−0.942878 | + | 0.333139i | \(0.891892\pi\) | |||||||
\(272\) | 120.739 | − | 19.1232i | 0.443894 | − | 0.0703060i | ||||
\(273\) | −249.862 | + | 127.311i | −0.915246 | + | 0.466341i | ||||
\(274\) | − | 335.220i | − | 1.22343i | ||||||
\(275\) | 224.528 | − | 73.2182i | 0.816465 | − | 0.266248i | ||||
\(276\) | 144.775 | 0.524546 | ||||||||
\(277\) | −26.9918 | − | 52.9744i | −0.0974434 | − | 0.191243i | 0.837139 | − | 0.546990i | \(-0.184227\pi\) |
−0.934582 | + | 0.355747i | \(0.884227\pi\) | |||||||
\(278\) | 61.1484 | + | 386.076i | 0.219958 | + | 1.38876i | ||||
\(279\) | 95.0421 | − | 130.814i | 0.340653 | − | 0.468868i | ||||
\(280\) | −9.97539 | + | 1.58540i | −0.0356264 | + | 0.00566213i | ||||
\(281\) | −8.06956 | + | 5.86288i | −0.0287173 | + | 0.0208643i | −0.602051 | − | 0.798457i | \(-0.705650\pi\) |
0.573334 | + | 0.819322i | \(0.305650\pi\) | |||||||
\(282\) | 34.9932 | − | 34.9932i | 0.124089 | − | 0.124089i | ||||
\(283\) | 442.035 | + | 70.0114i | 1.56196 | + | 0.247390i | 0.876747 | − | 0.480953i | \(-0.159709\pi\) |
0.685213 | + | 0.728343i | \(0.259709\pi\) | |||||||
\(284\) | 188.589 | − | 61.2764i | 0.664047 | − | 0.215762i | ||||
\(285\) | 160.593 | − | 52.2744i | 0.563484 | − | 0.183419i | ||||
\(286\) | −209.102 | + | 643.551i | −0.731127 | + | 2.25018i | ||||
\(287\) | −14.8001 | − | 7.54101i | −0.0515682 | − | 0.0262753i | ||||
\(288\) | −74.7032 | + | 146.613i | −0.259386 | + | 0.509074i | ||||
\(289\) | 214.851 | + | 69.8093i | 0.743429 | + | 0.241555i | ||||
\(290\) | 139.183 | + | 101.009i | 0.479940 | + | 0.348306i | ||||
\(291\) | −81.3000 | − | 250.216i | −0.279382 | − | 0.859848i | ||||
\(292\) | 50.7957 | − | 320.711i | 0.173958 | − | 1.09833i | ||||
\(293\) | −205.124 | − | 205.124i | −0.700081 | − | 0.700081i | 0.264347 | − | 0.964428i | \(-0.414844\pi\) |
−0.964428 | + | 0.264347i | \(0.914844\pi\) | |||||||
\(294\) | 100.679 | + | 138.573i | 0.342446 | + | 0.471337i | ||||
\(295\) | 326.531 | + | 51.5391i | 1.10688 | + | 0.174709i | ||||
\(296\) | 7.96708 | + | 5.78842i | 0.0269158 | + | 0.0195555i | ||||
\(297\) | −273.159 | + | 43.2642i | −0.919729 | + | 0.145671i | ||||
\(298\) | 473.478 | − | 241.249i | 1.58885 | − | 0.809561i | ||||
\(299\) | 377.289i | 1.26184i | ||||||||
\(300\) | 37.9144 | + | 237.742i | 0.126381 | + | 0.792473i | ||||
\(301\) | −49.1154 | −0.163174 | ||||||||
\(302\) | −94.0378 | − | 184.560i | −0.311384 | − | 0.611125i | ||||
\(303\) | −55.5579 | − | 350.779i | −0.183359 | − | 1.15769i | ||||
\(304\) | 131.585 | − | 181.112i | 0.432846 | − | 0.595762i | ||||
\(305\) | 153.867 | − | 154.031i | 0.504481 | − | 0.505019i | ||||
\(306\) | 66.1767 | − | 48.0802i | 0.216264 | − | 0.157125i | ||||
\(307\) | −78.3105 | + | 78.3105i | −0.255083 | + | 0.255083i | −0.823051 | − | 0.567968i | \(-0.807730\pi\) |
0.567968 | + | 0.823051i | \(0.307730\pi\) | |||||||
\(308\) | −186.199 | − | 29.4911i | −0.604543 | − | 0.0957502i | ||||
\(309\) | −179.158 | + | 58.2120i | −0.579800 | + | 0.188388i | ||||
\(310\) | −376.224 | − | 517.248i | −1.21363 | − | 1.66854i | ||||
\(311\) | −2.56362 | + | 7.89002i | −0.00824316 | + | 0.0253698i | −0.955093 | − | 0.296305i | \(-0.904246\pi\) |
0.946850 | + | 0.321674i | \(0.104246\pi\) | |||||||
\(312\) | −21.7969 | − | 11.1061i | −0.0698618 | − | 0.0355964i | ||||
\(313\) | −84.2928 | + | 165.434i | −0.269306 | + | 0.528543i | −0.985566 | − | 0.169290i | \(-0.945852\pi\) |
0.716260 | + | 0.697833i | \(0.245852\pi\) | |||||||
\(314\) | −101.662 | − | 33.0321i | −0.323766 | − | 0.105198i | ||||
\(315\) | 70.2036 | − | 51.0631i | 0.222869 | − | 0.162105i | ||||
\(316\) | −123.917 | − | 381.377i | −0.392142 | − | 1.20689i | ||||
\(317\) | −61.7280 | + | 389.735i | −0.194726 | + | 1.22945i | 0.675710 | + | 0.737167i | \(0.263837\pi\) |
−0.870436 | + | 0.492282i | \(0.836163\pi\) | |||||||
\(318\) | −141.503 | − | 141.503i | −0.444978 | − | 0.444978i | ||||
\(319\) | 66.9086 | + | 92.0918i | 0.209745 | + | 0.288689i | ||||
\(320\) | 242.726 | + | 242.467i | 0.758518 | + | 0.757710i | ||||
\(321\) | 102.545 | + | 74.5036i | 0.319456 | + | 0.232098i | ||||
\(322\) | −203.956 | + | 32.3034i | −0.633402 | + | 0.100321i | ||||
\(323\) | −102.948 | + | 52.4545i | −0.318723 | + | 0.162398i | ||||
\(324\) | − | 147.268i | − | 0.454532i | ||||||
\(325\) | −619.565 | + | 98.8065i | −1.90636 | + | 0.304020i | ||||
\(326\) | −15.2652 | −0.0468258 | ||||||||
\(327\) | −86.5651 | − | 169.894i | −0.264725 | − | 0.519552i | ||||
\(328\) | −0.226678 | − | 1.43119i | −0.000691091 | − | 0.00436338i | ||||
\(329\) | −21.1193 | + | 29.0682i | −0.0641924 | + | 0.0883533i | ||||
\(330\) | −48.8081 | + | 309.229i | −0.147903 | + | 0.937056i | ||||
\(331\) | −344.933 | + | 250.608i | −1.04209 | + | 0.757124i | −0.970693 | − | 0.240323i | \(-0.922747\pi\) |
−0.0713996 | + | 0.997448i | \(0.522747\pi\) | |||||||
\(332\) | −221.417 | + | 221.417i | −0.666918 | + | 0.666918i | ||||
\(333\) | −83.5959 | − | 13.2403i | −0.251039 | − | 0.0397606i | ||||
\(334\) | 658.518 | − | 213.965i | 1.97161 | − | 0.640615i | ||||
\(335\) | −170.957 | + | 235.566i | −0.510319 | + | 0.703181i | ||||
\(336\) | −53.1425 | + | 163.556i | −0.158162 | + | 0.486773i | ||||
\(337\) | −11.3028 | − | 5.75906i | −0.0335394 | − | 0.0170892i | 0.437140 | − | 0.899393i | \(-0.355991\pi\) |
−0.470680 | + | 0.882304i | \(0.655991\pi\) | |||||||
\(338\) | 597.116 | − | 1171.91i | 1.76662 | − | 3.46718i | ||||
\(339\) | −19.1294 | − | 6.21552i | −0.0564289 | − | 0.0183349i | ||||
\(340\) | −50.9793 | − | 156.614i | −0.149939 | − | 0.460630i | ||||
\(341\) | −130.826 | − | 402.642i | −0.383655 | − | 1.18077i | ||||
\(342\) | 23.4336 | − | 147.954i | 0.0685194 | − | 0.432615i | ||||
\(343\) | −254.670 | − | 254.670i | −0.742478 | − | 0.742478i | ||||
\(344\) | −2.51843 | − | 3.46633i | −0.00732103 | − | 0.0100765i | ||||
\(345\) | 27.3976 | + | 172.387i | 0.0794132 | + | 0.499672i | ||||
\(346\) | 6.92327 | + | 5.03005i | 0.0200094 | + | 0.0145377i | ||||
\(347\) | −31.1508 | + | 4.93380i | −0.0897717 | + | 0.0142184i | −0.201159 | − | 0.979559i | \(-0.564471\pi\) |
0.111387 | + | 0.993777i | \(0.464471\pi\) | |||||||
\(348\) | −103.392 | + | 52.6811i | −0.297105 | + | 0.151382i | ||||
\(349\) | 652.102i | 1.86849i | 0.356637 | + | 0.934243i | \(0.383923\pi\) | ||||
−0.356637 | + | 0.934243i | \(0.616077\pi\) | |||||||
\(350\) | −106.460 | − | 326.466i | −0.304171 | − | 0.932760i | ||||
\(351\) | 734.721 | 2.09322 | ||||||||
\(352\) | 195.594 | + | 383.874i | 0.555664 | + | 1.09055i | ||||
\(353\) | −29.8212 | − | 188.283i | −0.0844792 | − | 0.533381i | −0.993241 | − | 0.116066i | \(-0.962971\pi\) |
0.908762 | − | 0.417314i | \(-0.137029\pi\) | |||||||
\(354\) | −257.570 | + | 354.514i | −0.727598 | + | 1.00145i | ||||
\(355\) | 108.652 | + | 212.962i | 0.306063 | + | 0.599892i | ||||
\(356\) | −89.5375 | + | 65.0528i | −0.251510 | + | 0.182733i | ||||
\(357\) | 62.7613 | − | 62.7613i | 0.175802 | − | 0.175802i | ||||
\(358\) | 527.842 | + | 83.6019i | 1.47442 | + | 0.233525i | ||||
\(359\) | −287.640 | + | 93.4599i | −0.801226 | + | 0.260334i | −0.680877 | − | 0.732398i | \(-0.738401\pi\) |
−0.120349 | + | 0.992732i | \(0.538401\pi\) | |||||||
\(360\) | 7.20353 | + | 2.33633i | 0.0200098 | + | 0.00648980i | ||||
\(361\) | 46.1702 | − | 142.097i | 0.127895 | − | 0.393621i | ||||
\(362\) | 335.086 | + | 170.735i | 0.925651 | + | 0.471643i | ||||
\(363\) | 33.4837 | − | 65.7154i | 0.0922415 | − | 0.181034i | ||||
\(364\) | 476.311 | + | 154.763i | 1.30855 | + | 0.425172i | ||||
\(365\) | 391.492 | − | 0.208615i | 1.07258 | − | 0.000571549i | ||||
\(366\) | 89.1829 | + | 274.477i | 0.243669 | + | 0.749936i | ||||
\(367\) | 56.6095 | − | 357.418i | 0.154249 | − | 0.973892i | −0.782184 | − | 0.623047i | \(-0.785894\pi\) |
0.936434 | − | 0.350845i | \(-0.114106\pi\) | |||||||
\(368\) | 163.606 | + | 163.606i | 0.444581 | + | 0.444581i | ||||
\(369\) | 7.32014 | + | 10.0753i | 0.0198378 | + | 0.0273043i | ||||
\(370\) | −151.834 | + | 298.384i | −0.410362 | + | 0.806444i | ||||
\(371\) | 117.544 | + | 85.4008i | 0.316831 | + | 0.230191i | ||||
\(372\) | 426.263 | − | 67.5134i | 1.14587 | − | 0.181488i | ||||
\(373\) | −136.595 | + | 69.5986i | −0.366206 | + | 0.186591i | −0.627404 | − | 0.778694i | \(-0.715883\pi\) |
0.261198 | + | 0.965285i | \(0.415883\pi\) | |||||||
\(374\) | − | 214.172i | − | 0.572653i | ||||||
\(375\) | −275.910 | + | 90.1365i | −0.735760 | + | 0.240364i | ||||
\(376\) | −3.13440 | −0.00833618 | ||||||||
\(377\) | −137.289 | − | 269.445i | −0.364162 | − | 0.714709i | ||||
\(378\) | 62.9066 | + | 397.177i | 0.166420 | + | 1.05073i | ||||
\(379\) | 238.133 | − | 327.762i | 0.628320 | − | 0.864809i | −0.369605 | − | 0.929189i | \(-0.620507\pi\) |
0.997925 | + | 0.0643803i | \(0.0205071\pi\) | |||||||
\(380\) | −268.818 | − | 136.789i | −0.707415 | − | 0.359971i | ||||
\(381\) | 122.997 | − | 89.3629i | 0.322828 | − | 0.234548i | ||||
\(382\) | −754.543 | + | 754.543i | −1.97524 | + | 1.97524i | ||||
\(383\) | −428.311 | − | 67.8377i | −1.11830 | − | 0.177122i | −0.430200 | − | 0.902734i | \(-0.641557\pi\) |
−0.688105 | + | 0.725612i | \(0.741557\pi\) | |||||||
\(384\) | −29.6466 | + | 9.63277i | −0.0772048 | + | 0.0250853i | ||||
\(385\) | −0.121118 | − | 227.293i | −0.000314593 | − | 0.590371i | ||||
\(386\) | −53.4523 | + | 164.509i | −0.138477 | + | 0.426189i | ||||
\(387\) | 32.8108 | + | 16.7179i | 0.0847823 | + | 0.0431988i | ||||
\(388\) | −213.314 | + | 418.652i | −0.549778 | + | 1.07900i | ||||
\(389\) | −314.700 | − | 102.252i | −0.808997 | − | 0.262859i | −0.124824 | − | 0.992179i | \(-0.539837\pi\) |
−0.684173 | + | 0.729320i | \(0.739837\pi\) | |||||||
\(390\) | 256.578 | − | 791.099i | 0.657891 | − | 2.02846i | ||||
\(391\) | −36.9015 | − | 113.571i | −0.0943772 | − | 0.290463i | ||||
\(392\) | 1.69711 | − | 10.7151i | 0.00432936 | − | 0.0273345i | ||||
\(393\) | 242.568 | + | 242.568i | 0.617221 | + | 0.617221i | ||||
\(394\) | −616.528 | − | 848.577i | −1.56479 | − | 2.15375i | ||||
\(395\) | 430.664 | − | 219.724i | 1.09029 | − | 0.556262i | ||||
\(396\) | 114.349 | + | 83.0795i | 0.288761 | + | 0.209797i | ||||
\(397\) | 175.407 | − | 27.7818i | 0.441832 | − | 0.0699794i | 0.0684450 | − | 0.997655i | \(-0.478196\pi\) |
0.373387 | + | 0.927676i | \(0.378196\pi\) | |||||||
\(398\) | −692.104 | + | 352.644i | −1.73895 | + | 0.886041i | ||||
\(399\) | − | 162.542i | − | 0.407374i | ||||||
\(400\) | −225.820 | + | 311.512i | −0.564549 | + | 0.778779i | ||||
\(401\) | −74.3825 | −0.185492 | −0.0927462 | − | 0.995690i | \(-0.529565\pi\) | ||||
−0.0927462 | + | 0.995690i | \(0.529565\pi\) | |||||||
\(402\) | −175.163 | − | 343.776i | −0.435728 | − | 0.855164i | ||||
\(403\) | 175.943 | + | 1110.86i | 0.436583 | + | 2.75648i | ||||
\(404\) | −372.818 | + | 513.140i | −0.922816 | + | 1.27015i | ||||
\(405\) | 175.356 | − | 27.8695i | 0.432978 | − | 0.0688135i | ||||
\(406\) | 133.902 | − | 97.2858i | 0.329809 | − | 0.239620i | ||||
\(407\) | −156.699 | + | 156.699i | −0.385010 | + | 0.385010i | ||||
\(408\) | 7.64752 | + | 1.21125i | 0.0187439 | + | 0.00296875i | ||||
\(409\) | 177.348 | − | 57.6238i | 0.433613 | − | 0.140889i | −0.0840739 | − | 0.996460i | \(-0.526793\pi\) |
0.517687 | + | 0.855570i | \(0.326793\pi\) | |||||||
\(410\) | 46.8429 | − | 15.2478i | 0.114251 | − | 0.0371897i | ||||
\(411\) | −84.2730 | + | 259.366i | −0.205044 | + | 0.631060i | ||||
\(412\) | 299.761 | + | 152.736i | 0.727576 | + | 0.370718i | ||||
\(413\) | 144.440 | − | 283.478i | 0.349732 | − | 0.686389i | ||||
\(414\) | 147.245 | + | 47.8427i | 0.355663 | + | 0.115562i | ||||
\(415\) | −305.548 | − | 221.745i | −0.736260 | − | 0.534325i | ||||
\(416\) | −353.685 | − | 1088.53i | −0.850204 | − | 2.61666i | ||||
\(417\) | 49.7464 | − | 314.086i | 0.119296 | − | 0.753205i | ||||
\(418\) | −277.337 | − | 277.337i | −0.663486 | − | 0.663486i | ||||
\(419\) | 82.6895 | + | 113.812i | 0.197350 | + | 0.271628i | 0.896210 | − | 0.443629i | \(-0.146309\pi\) |
−0.698861 | + | 0.715258i | \(0.746309\pi\) | |||||||
\(420\) | 228.869 | + | 36.1243i | 0.544926 | + | 0.0860102i | ||||
\(421\) | 157.596 | + | 114.500i | 0.374337 | + | 0.271972i | 0.759007 | − | 0.651082i | \(-0.225685\pi\) |
−0.384670 | + | 0.923054i | \(0.625685\pi\) | |||||||
\(422\) | 1067.26 | − | 169.038i | 2.52906 | − | 0.400564i | ||||
\(423\) | 24.0027 | − | 12.2300i | 0.0567439 | − | 0.0289125i | ||||
\(424\) | 12.6747i | 0.0298931i | ||||||||
\(425\) | 176.837 | − | 90.3404i | 0.416087 | − | 0.212566i | ||||
\(426\) | −316.918 | −0.743939 | ||||||||
\(427\) | −95.1282 | − | 186.700i | −0.222783 | − | 0.437235i | ||||
\(428\) | −35.4124 | − | 223.585i | −0.0827392 | − | 0.522395i | ||||
\(429\) | 323.573 | − | 445.359i | 0.754248 | − | 1.03813i | ||||
\(430\) | 102.944 | − | 103.054i | 0.239405 | − | 0.239660i | ||||
\(431\) | 269.128 | − | 195.533i | 0.624427 | − | 0.453673i | −0.230038 | − | 0.973182i | \(-0.573885\pi\) |
0.854465 | + | 0.519509i | \(0.173885\pi\) | |||||||
\(432\) | 318.601 | − | 318.601i | 0.737503 | − | 0.737503i | ||||
\(433\) | 234.881 | + | 37.2015i | 0.542450 | + | 0.0859156i | 0.421646 | − | 0.906761i | \(-0.361453\pi\) |
0.120804 | + | 0.992676i | \(0.461453\pi\) | |||||||
\(434\) | −585.446 | + | 190.223i | −1.34895 | + | 0.438302i | ||||
\(435\) | −82.2950 | − | 113.142i | −0.189184 | − | 0.260098i | ||||
\(436\) | −105.231 | + | 323.867i | −0.241355 | + | 0.742814i | ||||
\(437\) | −194.851 | − | 99.2814i | −0.445883 | − | 0.227189i | ||||
\(438\) | −235.601 | + | 462.394i | −0.537903 | + | 1.05569i | ||||
\(439\) | −553.618 | − | 179.881i | −1.26109 | − | 0.409753i | −0.399207 | − | 0.916861i | \(-0.630715\pi\) |
−0.861883 | + | 0.507108i | \(0.830715\pi\) | |||||||
\(440\) | 16.0350 | − | 11.6632i | 0.0364432 | − | 0.0265072i | ||||
\(441\) | 28.8127 | + | 88.6763i | 0.0653349 | + | 0.201080i | ||||
\(442\) | −89.0066 | + | 561.965i | −0.201372 | + | 1.27141i | ||||
\(443\) | 325.427 | + | 325.427i | 0.734598 | + | 0.734598i | 0.971527 | − | 0.236929i | \(-0.0761408\pi\) |
−0.236929 | + | 0.971527i | \(0.576141\pi\) | |||||||
\(444\) | −132.783 | − | 182.761i | −0.299062 | − | 0.411623i | ||||
\(445\) | −94.4043 | − | 94.3038i | −0.212145 | − | 0.211919i | ||||
\(446\) | 57.7026 | + | 41.9234i | 0.129378 | + | 0.0939986i | ||||
\(447\) | −426.988 | + | 67.6282i | −0.955230 | + | 0.151294i | ||||
\(448\) | 294.206 | − | 149.906i | 0.656710 | − | 0.334611i | ||||
\(449\) | − | 49.0939i | − | 0.109341i | −0.998504 | − | 0.0546703i | \(-0.982589\pi\) | ||
0.998504 | − | 0.0546703i | \(-0.0174108\pi\) | |||||||
\(450\) | −40.0037 | + | 254.327i | −0.0888970 | + | 0.565171i | ||||
\(451\) | 32.6074 | 0.0723002 | ||||||||
\(452\) | 16.3082 | + | 32.0066i | 0.0360801 | + | 0.0708111i | ||||
\(453\) | 26.3612 | + | 166.438i | 0.0581925 | + | 0.367413i | ||||
\(454\) | 41.1617 | − | 56.6542i | 0.0906645 | − | 0.124789i | ||||
\(455\) | −94.1415 | + | 596.443i | −0.206904 | + | 1.31086i | ||||
\(456\) | 11.4714 | − | 8.33449i | 0.0251567 | − | 0.0182774i | ||||
\(457\) | 348.954 | − | 348.954i | 0.763576 | − | 0.763576i | −0.213391 | − | 0.976967i | \(-0.568451\pi\) |
0.976967 | + | 0.213391i | \(0.0684508\pi\) | |||||||
\(458\) | −354.182 | − | 56.0969i | −0.773323 | − | 0.122482i | ||||
\(459\) | −221.165 | + | 71.8608i | −0.481840 | + | 0.156559i | ||||
\(460\) | 183.099 | − | 252.296i | 0.398040 | − | 0.548470i | ||||
\(461\) | −125.015 | + | 384.757i | −0.271182 | + | 0.834613i | 0.719022 | + | 0.694987i | \(0.244590\pi\) |
−0.990204 | + | 0.139626i | \(0.955410\pi\) | |||||||
\(462\) | 268.457 | + | 136.786i | 0.581076 | + | 0.296073i | ||||
\(463\) | 79.4603 | − | 155.950i | 0.171620 | − | 0.336824i | −0.789135 | − | 0.614219i | \(-0.789471\pi\) |
0.960756 | + | 0.277395i | \(0.0894711\pi\) | |||||||
\(464\) | −176.374 | − | 57.3075i | −0.380117 | − | 0.123508i | ||||
\(465\) | 161.057 | + | 494.786i | 0.346359 | + | 1.06406i | ||||
\(466\) | 61.7831 | + | 190.149i | 0.132582 | + | 0.408045i | ||||
\(467\) | −120.316 | + | 759.642i | −0.257635 | + | 1.62664i | 0.431572 | + | 0.902079i | \(0.357959\pi\) |
−0.689207 | + | 0.724565i | \(0.742041\pi\) | |||||||
\(468\) | −265.513 | − | 265.513i | −0.567336 | − | 0.567336i | ||||
\(469\) | 164.655 | + | 226.629i | 0.351078 | + | 0.483217i | ||||
\(470\) | −16.7256 | − | 105.238i | −0.0355864 | − | 0.223911i | ||||
\(471\) | 70.3540 | + | 51.1151i | 0.149371 | + | 0.108525i | ||||
\(472\) | 27.4128 | − | 4.34176i | 0.0580779 | − | 0.00919864i | ||||
\(473\) | 85.9077 | − | 43.7722i | 0.181623 | − | 0.0925416i | ||||
\(474\) | 640.891i | 1.35209i | ||||||||
\(475\) | 112.006 | − | 345.975i | 0.235803 | − | 0.728367i | ||||
\(476\) | −158.515 | −0.333015 | ||||||||
\(477\) | −49.4547 | − | 97.0603i | −0.103679 | − | 0.203481i | ||||
\(478\) | −85.5443 | − | 540.106i | −0.178963 | − | 1.12993i | ||||
\(479\) | −40.2758 | + | 55.4349i | −0.0840830 | + | 0.115730i | −0.848986 | − | 0.528415i | \(-0.822787\pi\) |
0.764903 | + | 0.644145i | \(0.222787\pi\) | |||||||
\(480\) | −240.648 | − | 471.676i | −0.501349 | − | 0.982658i | ||||
\(481\) | 476.283 | − | 346.040i | 0.990192 | − | 0.719417i | ||||
\(482\) | −357.609 | + | 357.609i | −0.741928 | + | 0.741928i | ||||
\(483\) | 165.925 | + | 26.2800i | 0.343530 | + | 0.0544099i | ||||
\(484\) | −125.273 | + | 40.7036i | −0.258828 | + | 0.0840984i | ||||
\(485\) | −538.868 | − | 174.771i | −1.11107 | − | 0.360353i | ||||
\(486\) | 159.674 | − | 491.425i | 0.328546 | − | 1.01116i | ||||
\(487\) | 704.277 | + | 358.847i | 1.44615 | + | 0.736852i | 0.988350 | − | 0.152201i | \(-0.0486361\pi\) |
0.457804 | + | 0.889053i | \(0.348636\pi\) | |||||||
\(488\) | 8.29856 | − | 16.2868i | 0.0170053 | − | 0.0333747i | ||||
\(489\) | 11.8110 | + | 3.83762i | 0.0241534 | + | 0.00784790i | ||||
\(490\) | 368.819 | − | 0.196534i | 0.752692 | − | 0.000401089i | ||||
\(491\) | 40.8601 | + | 125.754i | 0.0832181 | + | 0.256119i | 0.984005 | − | 0.178143i | \(-0.0570091\pi\) |
−0.900786 | + | 0.434262i | \(0.857009\pi\) | |||||||
\(492\) | −5.19988 | + | 32.8307i | −0.0105689 | + | 0.0667292i | ||||
\(493\) | 67.6802 | + | 67.6802i | 0.137282 | + | 0.137282i | ||||
\(494\) | 612.446 | + | 842.960i | 1.23977 | + | 1.70640i | ||||
\(495\) | −77.2851 | + | 151.881i | −0.156132 | + | 0.306830i | ||||
\(496\) | 558.003 | + | 405.413i | 1.12501 | + | 0.817365i | ||||
\(497\) | 227.264 | − | 35.9950i | 0.457271 | − | 0.0724246i | ||||
\(498\) | 445.906 | − | 227.200i | 0.895393 | − | 0.456225i | ||||
\(499\) | − | 548.430i | − | 1.09906i | −0.835474 | − | 0.549529i | \(-0.814807\pi\) | ||
0.835474 | − | 0.549529i | \(-0.185193\pi\) | |||||||
\(500\) | 462.259 | + | 234.603i | 0.924519 | + | 0.469206i | ||||
\(501\) | −563.297 | −1.12435 | ||||||||
\(502\) | −313.264 | − | 614.816i | −0.624033 | − | 1.22473i | ||||
\(503\) | −141.195 | − | 891.471i | −0.280706 | − | 1.77231i | −0.576540 | − | 0.817069i | \(-0.695597\pi\) |
0.295834 | − | 0.955240i | \(-0.404403\pi\) | |||||||
\(504\) | 4.28405 | − | 5.89648i | 0.00850009 | − | 0.0116994i | ||||
\(505\) | −681.561 | − | 346.815i | −1.34963 | − | 0.686763i | ||||
\(506\) | 327.949 | − | 238.269i | 0.648121 | − | 0.470887i | ||||
\(507\) | −756.613 | + | 756.613i | −1.49233 | + | 1.49233i | ||||
\(508\) | −268.178 | − | 42.4752i | −0.527909 | − | 0.0836126i | ||||
\(509\) | 822.416 | − | 267.219i | 1.61575 | − | 0.524989i | 0.644815 | − | 0.764338i | \(-0.276934\pi\) |
0.970933 | + | 0.239350i | \(0.0769343\pi\) | |||||||
\(510\) | 0.140268 | + | 263.231i | 0.000275036 | + | 0.516138i | ||||
\(511\) | 116.433 | − | 358.344i | 0.227853 | − | 0.701261i | ||||
\(512\) | −648.422 | − | 330.387i | −1.26645 | − | 0.645288i | ||||
\(513\) | −193.337 | + | 379.446i | −0.376876 | + | 0.739661i | ||||
\(514\) | 755.979 | + | 245.632i | 1.47078 | + | 0.477884i | ||||
\(515\) | −125.139 | + | 385.837i | −0.242988 | + | 0.749199i | ||||
\(516\) | 30.3723 | + | 93.4764i | 0.0588611 | + | 0.181156i | ||||
\(517\) | 11.0338 | − | 69.6650i | 0.0213421 | − | 0.134748i | ||||
\(518\) | 227.842 | + | 227.842i | 0.439849 | + | 0.439849i | ||||
\(519\) | −4.09212 | − | 5.63232i | −0.00788463 | − | 0.0108523i | ||||
\(520\) | −46.9212 | + | 23.9390i | −0.0902330 | + | 0.0460366i | ||||
\(521\) | −151.981 | − | 110.421i | −0.291710 | − | 0.211940i | 0.432299 | − | 0.901730i | \(-0.357703\pi\) |
−0.724009 | + | 0.689791i | \(0.757703\pi\) | |||||||
\(522\) | −122.566 | + | 19.4125i | −0.234800 | + | 0.0371886i | ||||
\(523\) | −105.186 | + | 53.5950i | −0.201121 | + | 0.102476i | −0.551650 | − | 0.834076i | \(-0.686002\pi\) |
0.350529 | + | 0.936552i | \(0.386002\pi\) | |||||||
\(524\) | − | 612.650i | − | 1.16918i | ||||||
\(525\) | 0.297723 | + | 279.356i | 0.000567091 | + | 0.532107i | ||||
\(526\) | −438.945 | −0.834496 | ||||||||
\(527\) | −161.612 | − | 317.181i | −0.306664 | − | 0.601862i | ||||
\(528\) | −52.8111 | − | 333.436i | −0.100021 | − | 0.631508i | ||||
\(529\) | −178.087 | + | 245.116i | −0.336649 | + | 0.463357i | ||||
\(530\) | −425.555 | + | 67.6338i | −0.802934 | + | 0.127611i | ||||
\(531\) | −192.981 | + | 140.209i | −0.363429 | + | 0.264047i | ||||
\(532\) | −205.265 | + | 205.265i | −0.385837 | + | 0.385837i | ||||
\(533\) | −85.5583 | − | 13.5511i | −0.160522 | − | 0.0254242i | ||||
\(534\) | 168.225 | − | 54.6596i | 0.315028 | − | 0.102359i | ||||
\(535\) | 259.527 | − | 84.4782i | 0.485097 | − | 0.157903i | ||||
\(536\) | −7.55151 | + | 23.2412i | −0.0140886 | + | 0.0433604i | ||||
\(537\) | −387.384 | − | 197.382i | −0.721385 | − | 0.367564i | ||||
\(538\) | −54.2599 | + | 106.491i | −0.100855 | + | 0.197939i | ||||
\(539\) | 232.179 | + | 75.4396i | 0.430759 | + | 0.139962i | ||||
\(540\) | −491.314 | − | 356.560i | −0.909840 | − | 0.660297i | ||||
\(541\) | 65.1195 | + | 200.417i | 0.120369 | + | 0.370457i | 0.993029 | − | 0.117871i | \(-0.0376070\pi\) |
−0.872660 | + | 0.488328i | \(0.837607\pi\) | |||||||
\(542\) | 137.217 | − | 866.355i | 0.253168 | − | 1.59844i | ||||
\(543\) | −216.340 | − | 216.340i | −0.398416 | − | 0.398416i | ||||
\(544\) | 212.932 | + | 293.075i | 0.391418 | + | 0.538741i | ||||
\(545\) | −405.551 | − | 64.0114i | −0.744130 | − | 0.117452i | ||||
\(546\) | −647.557 | − | 470.478i | −1.18600 | − | 0.861681i | ||||
\(547\) | −592.045 | + | 93.7708i | −1.08235 | + | 0.171427i | −0.672037 | − | 0.740518i | \(-0.734580\pi\) |
−0.410313 | + | 0.911945i | \(0.634580\pi\) | |||||||
\(548\) | 433.962 | − | 221.115i | 0.791901 | − | 0.403494i | ||||
\(549\) | 157.101i | 0.286159i | ||||||||
\(550\) | 477.159 | + | 476.143i | 0.867561 | + | 0.865714i | ||||
\(551\) | 175.282 | 0.318115 | ||||||||
\(552\) | 6.65323 | + | 13.0577i | 0.0120530 | + | 0.0236553i | ||||
\(553\) | −72.7914 | − | 459.587i | −0.131630 | − | 0.831079i | ||||
\(554\) | 99.7482 | − | 137.292i | 0.180051 | − | 0.247819i | ||||
\(555\) | 192.490 | − | 192.695i | 0.346828 | − | 0.347198i | ||||
\(556\) | −459.464 | + | 333.820i | −0.826373 | + | 0.600395i | ||||
\(557\) | 709.075 | − | 709.075i | 1.27303 | − | 1.27303i | 0.328533 | − | 0.944493i | \(-0.393446\pi\) |
0.944493 | − | 0.328533i | \(-0.106554\pi\) | |||||||
\(558\) | 455.846 | + | 72.1989i | 0.816928 | + | 0.129389i | ||||
\(559\) | −243.604 | + | 79.1516i | −0.435785 | + | 0.141595i | ||||
\(560\) | 217.816 | + | 299.462i | 0.388957 | + | 0.534753i | ||||
\(561\) | −53.8422 | + | 165.709i | −0.0959753 | + | 0.295382i | ||||
\(562\) | −25.3673 | − | 12.9253i | −0.0451375 | − | 0.0229987i | ||||
\(563\) | −136.662 | + | 268.214i | −0.242739 | + | 0.476402i | −0.979946 | − | 0.199266i | \(-0.936144\pi\) |
0.737207 | + | 0.675667i | \(0.236144\pi\) | |||||||
\(564\) | 68.3825 | + | 22.2188i | 0.121246 | + | 0.0393951i | ||||
\(565\) | −35.0249 | + | 25.4756i | −0.0619909 | + | 0.0450895i | ||||
\(566\) | 394.748 | + | 1214.91i | 0.697434 | + | 2.14648i | ||||
\(567\) | 26.7326 | − | 168.783i | 0.0471474 | − | 0.297677i | ||||
\(568\) | 14.1935 | + | 14.1935i | 0.0249885 | + | 0.0249885i | ||||
\(569\) | 111.626 | + | 153.640i | 0.196179 | + | 0.270018i | 0.895762 | − | 0.444534i | \(-0.146631\pi\) |
−0.699583 | + | 0.714552i | \(0.746631\pi\) | |||||||
\(570\) | 341.045 | + | 340.682i | 0.598325 | + | 0.597688i | ||||
\(571\) | −358.530 | − | 260.488i | −0.627899 | − | 0.456195i | 0.227773 | − | 0.973714i | \(-0.426856\pi\) |
−0.855672 | + | 0.517519i | \(0.826856\pi\) | |||||||
\(572\) | −971.040 | + | 153.798i | −1.69762 | + | 0.268877i | ||||
\(573\) | 773.493 | − | 394.114i | 1.34990 | − | 0.687809i | ||||
\(574\) | − | 47.4115i | − | 0.0825984i | ||||||
\(575\) | 335.066 | + | 170.275i | 0.582723 | + | 0.296130i | ||||
\(576\) | −247.565 | −0.429800 | ||||||||
\(577\) | 340.853 | + | 668.961i | 0.590733 | + | 1.15938i | 0.972015 | + | 0.234919i | \(0.0754826\pi\) |
−0.381282 | + | 0.924459i | \(0.624517\pi\) | |||||||
\(578\) | 100.871 | + | 636.872i | 0.174517 | + | 1.10185i | ||||
\(579\) | 82.7140 | − | 113.846i | 0.142857 | − | 0.196625i | ||||
\(580\) | −38.9555 | + | 246.807i | −0.0671647 | + | 0.425529i | ||||
\(581\) | −293.956 | + | 213.572i | −0.505949 | + | 0.367593i | ||||
\(582\) | 531.000 | − | 531.000i | 0.912371 | − | 0.912371i | ||||
\(583\) | −281.706 | − | 44.6179i | −0.483201 | − | 0.0765316i | ||||
\(584\) | 31.2604 | − | 10.1571i | 0.0535280 | − | 0.0173923i | ||||
\(585\) | 265.907 | − | 366.400i | 0.454542 | − | 0.626325i | ||||
\(586\) | 255.867 | − | 787.477i | 0.436633 | − | 1.34382i | ||||
\(587\) | 859.522 | + | 437.948i | 1.46426 | + | 0.746079i | 0.990876 | − | 0.134777i | \(-0.0430317\pi\) |
0.473386 | + | 0.880855i | \(0.343032\pi\) | |||||||
\(588\) | −112.982 | + | 221.739i | −0.192146 | + | 0.377108i | ||||
\(589\) | −620.001 | − | 201.451i | −1.05263 | − | 0.342021i | ||||
\(590\) | 292.054 | + | 897.222i | 0.495006 | + | 1.52071i | ||||
\(591\) | 263.690 | + | 811.553i | 0.446175 | + | 1.37319i | ||||
\(592\) | 56.4780 | − | 356.588i | 0.0954020 | − | 0.602345i | ||||
\(593\) | 408.883 | + | 408.883i | 0.689517 | + | 0.689517i | 0.962125 | − | 0.272608i | \(-0.0878864\pi\) |
−0.272608 | + | 0.962125i | \(0.587886\pi\) | |||||||
\(594\) | −463.998 | − | 638.638i | −0.781141 | − | 1.07515i | ||||
\(595\) | −29.9979 | − | 188.748i | −0.0504166 | − | 0.317224i | ||||
\(596\) | 624.622 | + | 453.815i | 1.04802 | + | 0.761434i | ||||
\(597\) | 624.147 | − | 98.8552i | 1.04547 | − | 0.165587i | ||||
\(598\) | −959.524 | + | 488.902i | −1.60456 | + | 0.817562i | ||||
\(599\) | − | 719.248i | − | 1.20075i | −0.799720 | − | 0.600374i | \(-0.795019\pi\) | ||
0.799720 | − | 0.600374i | \(-0.204981\pi\) | |||||||
\(600\) | −19.7003 | + | 14.3452i | −0.0328339 | + | 0.0239087i | ||||
\(601\) | −1046.96 | −1.74204 | −0.871018 | − | 0.491251i | \(-0.836540\pi\) | ||||
−0.871018 | + | 0.491251i | \(0.836540\pi\) | |||||||
\(602\) | −63.6452 | − | 124.911i | −0.105723 | − | 0.207493i | ||||
\(603\) | −32.8555 | − | 207.441i | −0.0544867 | − | 0.344015i | ||||
\(604\) | 176.895 | − | 243.475i | 0.292872 | − | 0.403104i | ||||
\(605\) | −72.1738 | − | 141.463i | −0.119296 | − | 0.233823i | ||||
\(606\) | 820.110 | − | 595.845i | 1.35332 | − | 0.983242i | ||||
\(607\) | 94.4527 | − | 94.4527i | 0.155606 | − | 0.155606i | −0.625011 | − | 0.780616i | \(-0.714905\pi\) |
0.780616 | + | 0.625011i | \(0.214905\pi\) | |||||||
\(608\) | 655.241 | + | 103.780i | 1.07770 | + | 0.170691i | ||||
\(609\) | −128.060 | + | 41.6093i | −0.210279 | + | 0.0683239i | ||||
\(610\) | 591.117 | + | 191.717i | 0.969044 | + | 0.314291i | ||||
\(611\) | −57.9033 | + | 178.208i | −0.0947680 | + | 0.291666i | ||||
\(612\) | 105.894 | + | 53.9555i | 0.173029 | + | 0.0881625i | ||||
\(613\) | 201.764 | − | 395.984i | 0.329142 | − | 0.645978i | −0.665833 | − | 0.746101i | \(-0.731924\pi\) |
0.994975 | + | 0.100123i | \(0.0319237\pi\) | |||||||
\(614\) | −300.637 | − | 97.6828i | −0.489637 | − | 0.159093i | ||||
\(615\) | −40.0764 | + | 0.0213556i | −0.0651649 | + | 3.47246e-5i | ||||
\(616\) | −5.89703 | − | 18.1492i | −0.00957311 | − | 0.0294630i | ||||
\(617\) | −63.8436 | + | 403.093i | −0.103474 | + | 0.653310i | 0.880371 | + | 0.474287i | \(0.157294\pi\) |
−0.983845 | + | 0.179024i | \(0.942706\pi\) | |||||||
\(618\) | −380.203 | − | 380.203i | −0.615216 | − | 0.615216i | ||||
\(619\) | 65.7145 | + | 90.4482i | 0.106162 | + | 0.146120i | 0.858792 | − | 0.512324i | \(-0.171215\pi\) |
−0.752630 | + | 0.658443i | \(0.771215\pi\) | |||||||
\(620\) | 421.447 | − | 828.226i | 0.679753 | − | 1.33585i | ||||
\(621\) | −356.084 | − | 258.710i | −0.573404 | − | 0.416603i | ||||
\(622\) | −23.3880 | + | 3.70429i | −0.0376012 | + | 0.00595545i | ||||
\(623\) | −114.427 | + | 58.3034i | −0.183671 | + | 0.0935849i | ||||
\(624\) | 896.849i | 1.43726i | ||||||||
\(625\) | −191.868 | + | 594.821i | −0.306989 | + | 0.951713i | ||||
\(626\) | −529.962 | −0.846585 | ||||||||
\(627\) | 144.859 | + | 284.303i | 0.231036 | + | 0.453433i | ||||
\(628\) | −24.2956 | − | 153.396i | −0.0386873 | − | 0.244262i | ||||
\(629\) | −109.525 | + | 150.748i | −0.174125 | + | 0.239663i | ||||
\(630\) | 220.836 | + | 112.373i | 0.350533 | + | 0.178370i | ||||
\(631\) | −491.960 | + | 357.430i | −0.779651 | + | 0.566450i | −0.904874 | − | 0.425679i | \(-0.860035\pi\) |
0.125223 | + | 0.992129i | \(0.460035\pi\) | |||||||
\(632\) | 28.7029 | − | 28.7029i | 0.0454160 | − | 0.0454160i | ||||
\(633\) | −868.257 | − | 137.518i | −1.37165 | − | 0.217249i | ||||
\(634\) | −1071.17 | + | 348.043i | −1.68954 | + | 0.548964i | ||||
\(635\) | −0.174443 | − | 327.364i | −0.000274714 | − | 0.515534i | ||||
\(636\) | 89.8470 | − | 276.521i | 0.141269 | − | 0.434781i | ||||
\(637\) | −577.862 | − | 294.435i | −0.907162 | − | 0.462222i | ||||
\(638\) | −147.506 | + | 289.498i | −0.231201 | + | 0.453758i | ||||
\(639\) | −164.072 | − | 53.3102i | −0.256763 | − | 0.0834275i | ||||
\(640\) | −20.7077 | + | 63.8474i | −0.0323557 | + | 0.0997615i | ||||
\(641\) | −287.953 | − | 886.229i | −0.449225 | − | 1.38257i | −0.877783 | − | 0.479058i | \(-0.840978\pi\) |
0.428558 | − | 0.903514i | \(-0.359022\pi\) | |||||||
\(642\) | −56.5968 | + | 357.338i | −0.0881570 | + | 0.556601i | ||||
\(643\) | 193.438 | + | 193.438i | 0.300837 | + | 0.300837i | 0.841341 | − | 0.540504i | \(-0.181767\pi\) |
−0.540504 | + | 0.841341i | \(0.681767\pi\) | |||||||
\(644\) | −176.350 | − | 242.725i | −0.273835 | − | 0.376902i | ||||
\(645\) | −105.557 | + | 53.8548i | −0.163654 | + | 0.0834959i | ||||
\(646\) | −266.805 | − | 193.845i | −0.413011 | − | 0.300070i | ||||
\(647\) | 420.037 | − | 66.5274i | 0.649207 | − | 0.102824i | 0.176859 | − | 0.984236i | \(-0.443406\pi\) |
0.472349 | + | 0.881412i | \(0.343406\pi\) | |||||||
\(648\) | 13.2826 | − | 6.76783i | 0.0204979 | − | 0.0104442i | ||||
\(649\) | 624.558i | 0.962339i | ||||||||
\(650\) | −1054.14 | − | 1447.65i | −1.62175 | − | 2.22715i | ||||
\(651\) | 500.792 | 0.769266 | ||||||||
\(652\) | −10.0691 | − | 19.7617i | −0.0154434 | − | 0.0303094i | ||||
\(653\) | 146.447 | + | 924.627i | 0.224267 | + | 1.41597i | 0.800818 | + | 0.598907i | \(0.204398\pi\) |
−0.576551 | + | 0.817061i | \(0.695602\pi\) | |||||||
\(654\) | 319.901 | − | 440.306i | 0.489145 | − | 0.673251i | ||||
\(655\) | 729.498 | − | 115.940i | 1.11374 | − | 0.177007i | ||||
\(656\) | −42.9774 | + | 31.2249i | −0.0655143 | + | 0.0475989i | ||||
\(657\) | −199.755 | + | 199.755i | −0.304040 | + | 0.304040i | ||||
\(658\) | −101.294 | − | 16.0433i | −0.153942 | − | 0.0243820i | ||||
\(659\) | 1154.15 | − | 375.005i | 1.75136 | − | 0.569051i | 0.755111 | − | 0.655597i | \(-0.227583\pi\) |
0.996248 | + | 0.0865457i | \(0.0275829\pi\) | |||||||
\(660\) | −432.509 | + | 140.785i | −0.655316 | + | 0.213311i | ||||
\(661\) | 57.3624 | − | 176.543i | 0.0867813 | − | 0.267085i | −0.898243 | − | 0.439498i | \(-0.855156\pi\) |
0.985025 | + | 0.172413i | \(0.0551563\pi\) | |||||||
\(662\) | −1084.32 | − | 552.490i | −1.63795 | − | 0.834577i | ||||
\(663\) | 210.142 | − | 412.427i | 0.316956 | − | 0.622062i | ||||
\(664\) | −30.1457 | − | 9.79493i | −0.0454001 | − | 0.0147514i | ||||
\(665\) | −283.260 | − | 205.570i | −0.425954 | − | 0.309127i | ||||
\(666\) | −74.6532 | − | 229.759i | −0.112092 | − | 0.344983i | ||||
\(667\) | −28.3396 | + | 178.930i | −0.0424882 | + | 0.268260i | ||||
\(668\) | 711.356 | + | 711.356i | 1.06490 | + | 1.06490i | ||||
\(669\) | −34.1062 | − | 46.9431i | −0.0509808 | − | 0.0701691i | ||||
\(670\) | −820.623 | − | 129.526i | −1.22481 | − | 0.193322i | ||||
\(671\) | 332.777 | + | 241.777i | 0.495942 | + | 0.360323i | ||||
\(672\) | −503.352 | + | 79.7232i | −0.749036 | + | 0.118636i | ||||
\(673\) | 1024.34 | − | 521.925i | 1.52205 | − | 0.775521i | 0.524910 | − | 0.851158i | \(-0.324099\pi\) |
0.997135 | + | 0.0756373i | \(0.0240991\pi\) | |||||||
\(674\) | − | 36.2081i | − | 0.0537212i | ||||||
\(675\) | 331.588 | − | 652.496i | 0.491241 | − | 0.966661i | ||||
\(676\) | 1910.97 | 2.82687 | ||||||||
\(677\) | 379.800 | + | 745.400i | 0.561005 | + | 1.10103i | 0.981090 | + | 0.193550i | \(0.0620001\pi\) |
−0.420085 | + | 0.907485i | \(0.638000\pi\) | |||||||
\(678\) | −8.98107 | − | 56.7042i | −0.0132464 | − | 0.0836346i | ||||
\(679\) | −320.473 | + | 441.093i | −0.471977 | + | 0.649621i | ||||
\(680\) | 11.7827 | − | 11.7953i | 0.0173276 | − | 0.0173460i | ||||
\(681\) | −46.0902 | + | 33.4865i | −0.0676802 | + | 0.0491726i | ||||
\(682\) | 854.474 | − | 854.474i | 1.25289 | − | 1.25289i | ||||
\(683\) | −972.583 | − | 154.042i | −1.42399 | − | 0.225537i | −0.603573 | − | 0.797308i | \(-0.706257\pi\) |
−0.820414 | + | 0.571770i | \(0.806257\pi\) | |||||||
\(684\) | 206.993 | − | 67.2559i | 0.302621 | − | 0.0983274i | ||||
\(685\) | 345.411 | + | 474.885i | 0.504249 | + | 0.693262i | ||||
\(686\) | 317.670 | − | 977.686i | 0.463075 | − | 1.42520i | ||||
\(687\) | 259.935 | + | 132.443i | 0.378362 | + | 0.192785i | ||||
\(688\) | −71.3122 | + | 139.958i | −0.103652 | + | 0.203428i | ||||
\(689\) | 720.625 | + | 234.145i | 1.04590 | + | 0.339833i | ||||
\(690\) | −402.913 | + | 293.061i | −0.583932 | + | 0.424727i | ||||
\(691\) | 75.0611 | + | 231.014i | 0.108627 | + | 0.334319i | 0.990565 | − | 0.137047i | \(-0.0437611\pi\) |
−0.881938 | + | 0.471366i | \(0.843761\pi\) | |||||||
\(692\) | −1.94503 | + | 12.2804i | −0.00281074 | + | 0.0177463i | ||||
\(693\) | 115.974 | + | 115.974i | 0.167350 | + | 0.167350i | ||||
\(694\) | −52.9138 | − | 72.8295i | −0.0762446 | − | 0.104942i | ||||
\(695\) | −484.438 | − | 483.922i | −0.697033 | − | 0.696290i | ||||
\(696\) | −9.50296 | − | 6.90431i | −0.0136537 | − | 0.00991998i | ||||
\(697\) | 27.0801 | − | 4.28906i | 0.0388523 | − | 0.00615360i | ||||
\(698\) | −1658.43 | + | 845.012i | −2.37597 | + | 1.21062i | ||||
\(699\) | − | 162.654i | − | 0.232695i | ||||||
\(700\) | 352.407 | − | 353.159i | 0.503439 | − | 0.504513i | ||||
\(701\) | 1034.55 | 1.47582 | 0.737912 | − | 0.674897i | \(-0.235812\pi\) | ||||
0.737912 | + | 0.674897i | \(0.235812\pi\) | |||||||
\(702\) | 952.072 | + | 1868.55i | 1.35623 | + | 2.66175i | ||||
\(703\) | 53.3809 | + | 337.034i | 0.0759331 | + | 0.479423i | ||||
\(704\) | −380.998 | + | 524.399i | −0.541191 | + | 0.744885i | ||||
\(705\) | −13.5156 | + | 85.6296i | −0.0191711 | + | 0.121460i | ||||
\(706\) | 440.201 | − | 319.824i | 0.623514 | − | 0.453009i | ||||
\(707\) | −520.430 | + | 520.430i | −0.736111 | + | 0.736111i | ||||
\(708\) | −628.835 | − | 99.5977i | −0.888186 | − | 0.140675i | ||||
\(709\) | −1008.62 | + | 327.722i | −1.42260 | + | 0.462231i | −0.916427 | − | 0.400201i | \(-0.868940\pi\) |
−0.506173 | + | 0.862432i | \(0.668940\pi\) | |||||||
\(710\) | −400.811 | + | 552.288i | −0.564522 | + | 0.777870i | ||||
\(711\) | −107.807 | + | 331.796i | −0.151627 | + | 0.466661i | ||||
\(712\) | −9.98209 | − | 5.08613i | −0.0140198 | − | 0.00714344i | ||||
\(713\) | 305.885 | − | 600.334i | 0.429012 | − | 0.841983i | ||||
\(714\) | 240.943 | + | 78.2871i | 0.337455 | + | 0.109646i | ||||
\(715\) | −366.893 | − | 1127.14i | −0.513137 | − | 1.57642i | ||||
\(716\) | 239.943 | + | 738.467i | 0.335115 | + | 1.03138i | ||||
\(717\) | −69.5934 | + | 439.395i | −0.0970619 | + | 0.612825i | ||||
\(718\) | −610.420 | − | 610.420i | −0.850168 | − | 0.850168i | ||||
\(719\) | −788.193 | − | 1084.85i | −1.09624 | − | 1.50884i | −0.840282 | − | 0.542149i | \(-0.817611\pi\) |
−0.255953 | − | 0.966689i | \(-0.582389\pi\) | |||||||
\(720\) | −43.5773 | − | 274.191i | −0.0605241 | − | 0.380821i | ||||
\(721\) | 315.829 | + | 229.463i | 0.438043 | + | 0.318257i | ||||
\(722\) | 421.211 | − | 66.7133i | 0.583395 | − | 0.0924007i | ||||
\(723\) | 366.591 | − | 186.787i | 0.507041 | − | 0.258350i | ||||
\(724\) | 546.407i | 0.754705i | ||||||||
\(725\) | −301.251 | + | 0.321057i | −0.415519 | + | 0.000442837i | ||||
\(726\) | 210.517 | 0.289968 | ||||||||
\(727\) | −222.009 | − | 435.716i | −0.305376 | − | 0.599335i | 0.686414 | − | 0.727211i | \(-0.259184\pi\) |
−0.991790 | + | 0.127876i | \(0.959184\pi\) | |||||||
\(728\) | 7.93067 | + | 50.0723i | 0.0108938 | + | 0.0687806i | ||||
\(729\) | −434.942 | + | 598.647i | −0.596629 | + | 0.821189i | ||||
\(730\) | 507.837 | + | 995.374i | 0.695667 | + | 1.36353i | ||||
\(731\) | 65.5877 | − | 47.6522i | 0.0897232 | − | 0.0651877i | ||||
\(732\) | −296.500 | + | 296.500i | −0.405055 | + | 0.405055i | ||||
\(733\) | 1087.16 | + | 172.190i | 1.48317 | + | 0.234911i | 0.844910 | − | 0.534909i | \(-0.179654\pi\) |
0.638261 | + | 0.769820i | \(0.279654\pi\) | |||||||
\(734\) | 982.345 | − | 319.183i | 1.33834 | − | 0.434855i | ||||
\(735\) | −285.412 | − | 92.5677i | −0.388315 | − | 0.125942i | ||||
\(736\) | −211.880 | + | 652.098i | −0.287880 | + | 0.886003i | ||||
\(737\) | −489.973 | − | 249.653i | −0.664820 | − | 0.338743i | ||||
\(738\) | −16.1379 | + | 31.6725i | −0.0218671 | + | 0.0429166i | ||||
\(739\) | 726.281 | + | 235.983i | 0.982789 | + | 0.319328i | 0.755968 | − | 0.654609i | \(-0.227167\pi\) |
0.226821 | + | 0.973936i | \(0.427167\pi\) | |||||||
\(740\) | −486.427 | + | 0.259204i | −0.657334 | + | 0.000350275i | ||||
\(741\) | −261.944 | − | 806.181i | −0.353501 | − | 1.08796i | ||||
\(742\) | −64.8749 | + | 409.604i | −0.0874325 | + | 0.552027i | ||||
\(743\) | −605.849 | − | 605.849i | −0.815409 | − | 0.815409i | 0.170030 | − | 0.985439i | \(-0.445614\pi\) |
−0.985439 | + | 0.170030i | \(0.945614\pi\) | |||||||
\(744\) | 25.6785 | + | 35.3434i | 0.0345141 | + | 0.0475046i | ||||
\(745\) | −422.163 | + | 829.635i | −0.566662 | + | 1.11360i | ||||
\(746\) | −354.007 | − | 257.201i | −0.474541 | − | 0.344774i | ||||
\(747\) | 269.068 | − | 42.6162i | 0.360199 | − | 0.0570499i | ||||
\(748\) | 277.259 | − | 141.270i | 0.370667 | − | 0.188864i | ||||
\(749\) | − | 262.677i | − | 0.350704i | ||||||
\(750\) | −586.768 | − | 584.895i | −0.782357 | − | 0.779860i | ||||
\(751\) | 612.613 | 0.815730 | 0.407865 | − | 0.913042i | \(-0.366273\pi\) | ||||
0.407865 | + | 0.913042i | \(0.366273\pi\) | |||||||
\(752\) | 52.1684 | + | 102.386i | 0.0693728 | + | 0.136152i | ||||
\(753\) | 87.8160 | + | 554.448i | 0.116621 | + | 0.736319i | ||||
\(754\) | 507.352 | − | 698.310i | 0.672880 | − | 0.926140i | ||||
\(755\) | 323.388 | + | 164.557i | 0.428328 | + | 0.217957i | ||||
\(756\) | −472.675 | + | 343.418i | −0.625231 | + | 0.454257i | ||||
\(757\) | 764.190 | − | 764.190i | 1.00950 | − | 1.00950i | 0.00954310 | − | 0.999954i | \(-0.496962\pi\) |
0.999954 | − | 0.00954310i | \(-0.00303771\pi\) | |||||||
\(758\) | 1142.15 | + | 180.898i | 1.50679 | + | 0.238652i | ||||
\(759\) | −313.640 | + | 101.908i | −0.413228 | + | 0.134266i | ||||
\(760\) | −0.0162696 | − | 30.5318i | −2.14073e−5 | − | 0.0401735i | ||||
\(761\) | −144.872 | + | 445.871i | −0.190371 | + | 0.585901i | −0.999999 | − | 0.00104126i | \(-0.999669\pi\) |
0.809629 | + | 0.586943i | \(0.199669\pi\) | |||||||
\(762\) | 386.652 | + | 197.009i | 0.507417 | + | 0.258542i | ||||
\(763\) | −179.394 | + | 352.080i | −0.235116 | + | 0.461441i | ||||
\(764\) | −1474.50 | − | 479.096i | −1.92998 | − | 0.627089i | ||||
\(765\) | −44.2065 | + | 136.301i | −0.0577863 | + | 0.178171i | ||||
\(766\) | −382.492 | − | 1177.19i | −0.499337 | − | 1.53680i | ||||
\(767\) | 259.556 | − | 1638.77i | 0.338404 | − | 2.13660i | ||||
\(768\) | 387.748 | + | 387.748i | 0.504880 | + | 0.504880i | ||||
\(769\) | 212.121 | + | 291.959i | 0.275840 | + | 0.379661i | 0.924350 | − | 0.381545i | \(-0.124608\pi\) |
−0.648511 | + | 0.761206i | \(0.724608\pi\) | |||||||
\(770\) | 577.896 | − | 294.841i | 0.750514 | − | 0.382910i | ||||
\(771\) | −523.164 | − | 380.101i | −0.678552 | − | 0.492997i | ||||
\(772\) | −248.224 | + | 39.3149i | −0.321534 | + | 0.0509260i | ||||
\(773\) | −897.918 | + | 457.512i | −1.16160 | + | 0.591866i | −0.925084 | − | 0.379761i | \(-0.876006\pi\) |
−0.236518 | + | 0.971627i | \(0.576006\pi\) | |||||||
\(774\) | 105.108i | 0.135799i | ||||||||
\(775\) | 1065.95 | + | 345.091i | 1.37541 | + | 0.445279i | ||||
\(776\) | −47.5627 | −0.0612921 | ||||||||
\(777\) | −119.007 | − | 233.564i | −0.153162 | − | 0.300597i | ||||
\(778\) | −147.749 | − | 932.848i | −0.189908 | − | 1.19903i | ||||
\(779\) | 29.5126 | − | 40.6207i | 0.0378853 | − | 0.0521446i | ||||
\(780\) | 1193.36 | − | 189.662i | 1.52996 | − | 0.243157i | ||||
\(781\) | −365.427 | + | 265.499i | −0.467897 | + | 0.339947i | ||||
\(782\) | 241.017 | − | 241.017i | 0.308206 | − | 0.308206i | ||||
\(783\) | 348.442 | + | 55.1877i | 0.445009 | + | 0.0704824i | ||||
\(784\) | −378.259 | + | 122.904i | −0.482474 | + | 0.156765i | ||||
\(785\) | 178.055 | − | 57.9585i | 0.226822 | − | 0.0738325i | ||||
\(786\) | −302.574 | + | 931.227i | −0.384954 | + | 1.18477i | ||||
\(787\) | −514.654 | − | 262.229i | −0.653944 | − | 0.333201i | 0.0953452 | − | 0.995444i | \(-0.469605\pi\) |
−0.749289 | + | 0.662243i | \(0.769605\pi\) | |||||||
\(788\) | 691.865 | − | 1357.86i | 0.878002 | − | 1.72318i | ||||
\(789\) | 339.620 | + | 110.349i | 0.430443 | + | 0.139860i | ||||
\(790\) | 1116.87 | + | 810.544i | 1.41376 | + | 1.02601i | ||||
\(791\) | 12.8807 | + | 39.6429i | 0.0162841 | + | 0.0501174i | ||||
\(792\) | −2.23821 | + | 14.1315i | −0.00282603 | + | 0.0178428i | ||||
\(793\) | −772.693 | − | 772.693i | −0.974392 | − | 0.974392i | ||||
\(794\) | 297.953 | + | 410.097i | 0.375256 | + | 0.516495i | ||||
\(795\) | 346.263 | + | 54.6535i | 0.435551 | + | 0.0687466i | ||||
\(796\) | −913.038 | − | 663.361i | −1.14703 | − | 0.833368i | ||||
\(797\) | −1318.75 | + | 208.870i | −1.65464 | + | 0.262070i | −0.912771 | − | 0.408472i | \(-0.866062\pi\) |
−0.741872 | + | 0.670542i | \(0.766062\pi\) | |||||||
\(798\) | 413.379 | − | 210.627i | 0.518019 | − | 0.263944i | ||||
\(799\) | − | 59.3072i | − | 0.0742268i | ||||||
\(800\) | −1126.33 | − | 177.163i | −1.40791 | − | 0.221454i | ||||
\(801\) | 96.2863 | 0.120208 | ||||||||
\(802\) | −96.3869 | − | 189.170i | −0.120183 | − | 0.235873i | ||||
\(803\) | 115.707 | + | 730.546i | 0.144093 | + | 0.909770i | ||||
\(804\) | 329.499 | − | 453.516i | 0.409825 | − | 0.564075i | ||||
\(805\) | 255.646 | − | 255.918i | 0.317572 | − | 0.317911i | ||||
\(806\) | −2597.15 | + | 1886.94i | −3.22228 | + | 2.34112i | ||||
\(807\) | 68.7533 | − | 68.7533i | 0.0851962 | − | 0.0851962i | ||||
\(808\) | −63.4149 | − | 10.0439i | −0.0784838 | − | 0.0124306i | ||||
\(809\) | 339.718 | − | 110.381i | 0.419924 | − | 0.136441i | −0.0914307 | − | 0.995811i | \(-0.529144\pi\) |
0.511354 | + | 0.859370i | \(0.329144\pi\) | |||||||
\(810\) | 298.109 | + | 409.852i | 0.368036 | + | 0.505991i | ||||
\(811\) | 223.319 | − | 687.305i | 0.275362 | − | 0.847479i | −0.713761 | − | 0.700390i | \(-0.753010\pi\) |
0.989123 | − | 0.147089i | \(-0.0469904\pi\) | |||||||
\(812\) | 214.266 | + | 109.174i | 0.263874 | + | 0.134451i | ||||
\(813\) | −323.966 | + | 635.819i | −0.398482 | + | 0.782065i | ||||
\(814\) | −601.573 | − | 195.463i | −0.739033 | − | 0.240126i | ||||
\(815\) | 21.6253 | − | 15.7293i | 0.0265341 | − | 0.0192998i | ||||
\(816\) | −87.7180 | − | 269.968i | −0.107498 | − | 0.330843i | ||||
\(817\) | 23.2251 | − | 146.637i | 0.0284272 | − | 0.179483i | ||||
\(818\) | 376.362 | + | 376.362i | 0.460100 | + | 0.460100i | ||||
\(819\) | −256.106 | − | 352.500i | −0.312706 | − | 0.430403i | ||||
\(820\) | 50.6372 | + | 50.5833i | 0.0617527 | + | 0.0616869i | ||||
\(821\) | −433.586 | − | 315.019i | −0.528120 | − | 0.383701i | 0.291534 | − | 0.956560i | \(-0.405834\pi\) |
−0.819654 | + | 0.572859i | \(0.805834\pi\) | |||||||
\(822\) | −768.824 | + | 121.770i | −0.935309 | + | 0.148138i | ||||
\(823\) | −1013.17 | + | 516.234i | −1.23106 | + | 0.627259i | −0.943776 | − | 0.330585i | \(-0.892754\pi\) |
−0.287289 | + | 0.957844i | \(0.592754\pi\) | |||||||
\(824\) | 34.0555i | 0.0413295i | ||||||||
\(825\) | −249.486 | − | 488.356i | −0.302407 | − | 0.591947i | ||||
\(826\) | 908.113 | 1.09941 | ||||||||
\(827\) | 461.722 | + | 906.181i | 0.558310 | + | 1.09575i | 0.981813 | + | 0.189851i | \(0.0608004\pi\) |
−0.423503 | + | 0.905895i | \(0.639200\pi\) | |||||||
\(828\) | 35.1890 | + | 222.174i | 0.0424987 | + | 0.268327i | ||||
\(829\) | −126.748 | + | 174.453i | −0.152892 | + | 0.210438i | −0.878592 | − | 0.477574i | \(-0.841516\pi\) |
0.725699 | + | 0.688012i | \(0.241516\pi\) | |||||||
\(830\) | 168.005 | − | 1064.42i | 0.202416 | − | 1.28243i | ||||
\(831\) | −111.692 | + | 81.1487i | −0.134406 | + | 0.0976519i | ||||
\(832\) | 1217.63 | − | 1217.63i | 1.46350 | − | 1.46350i | ||||
\(833\) | 202.745 | + | 32.1117i | 0.243392 | + | 0.0385494i | ||||
\(834\) | 863.249 | − | 280.487i | 1.03507 | − | 0.336315i | ||||
\(835\) | −712.410 | + | 981.648i | −0.853186 | + | 1.17563i | ||||
\(836\) | 176.095 | − | 541.964i | 0.210640 | − | 0.648282i | ||||
\(837\) | −1169.07 | − | 595.671i | −1.39674 | − | 0.711674i | ||||
\(838\) | −182.297 | + | 357.778i | −0.217538 | + | 0.426942i | ||||
\(839\) | −632.221 | − | 205.421i | −0.753542 | − | 0.244841i | −0.0930372 | − | 0.995663i | \(-0.529658\pi\) |
−0.660504 | + | 0.750822i | \(0.729658\pi\) | |||||||
\(840\) | 7.25969 | + | 22.3026i | 0.00864249 | + | 0.0265507i | ||||
\(841\) | 215.013 | + | 661.742i | 0.255663 | + | 0.786851i | ||||
\(842\) | −86.9802 | + | 549.171i | −0.103302 | + | 0.652223i | ||||
\(843\) | 16.3778 | + | 16.3778i | 0.0194280 | + | 0.0194280i | ||||
\(844\) | 922.808 | + | 1270.14i | 1.09337 | + | 1.50490i | ||||
\(845\) | 361.636 | + | 2275.43i | 0.427972 | + | 2.69282i | ||||
\(846\) | 62.2067 | + | 45.1958i | 0.0735304 | + | 0.0534229i | ||||
\(847\) | −150.963 | + | 23.9102i | −0.178232 | + | 0.0282292i | ||||
\(848\) | 414.022 | − | 210.955i | 0.488234 | − | 0.248767i | ||||
\(849\) | − | 1039.24i | − | 1.22407i | ||||||
\(850\) | 458.905 | + | 332.667i | 0.539888 | + | 0.391373i | ||||
\(851\) | −352.679 | −0.414429 | ||||||||
\(852\) | −209.043 | − | 410.269i | −0.245355 | − | 0.481537i | ||||
\(853\) | 102.830 | + | 649.241i | 0.120551 | + | 0.761127i | 0.971703 | + | 0.236207i | \(0.0759045\pi\) |
−0.851152 | + | 0.524919i | \(0.824096\pi\) | |||||||
\(854\) | 351.546 | − | 483.861i | 0.411646 | − | 0.566582i | ||||
\(855\) | 119.255 | + | 233.743i | 0.139480 | + | 0.273384i | ||||
\(856\) | 18.5385 | − | 13.4690i | 0.0216571 | − | 0.0157348i | ||||
\(857\) | −50.2801 | + | 50.2801i | −0.0586699 | + | 0.0586699i | −0.735833 | − | 0.677163i | \(-0.763209\pi\) |
0.677163 | + | 0.735833i | \(0.263209\pi\) | |||||||
\(858\) | 1551.94 | + | 245.803i | 1.80878 | + | 0.286483i | ||||
\(859\) | 575.234 | − | 186.905i | 0.669655 | − | 0.217584i | 0.0455943 | − | 0.998960i | \(-0.485482\pi\) |
0.624061 | + | 0.781376i | \(0.285482\pi\) | |||||||
\(860\) | 201.312 | + | 65.2917i | 0.234084 | + | 0.0759206i | ||||
\(861\) | −11.9191 | + | 36.6832i | −0.0138433 | + | 0.0426053i | ||||
\(862\) | 846.024 | + | 431.071i | 0.981467 | + | 0.500082i | ||||
\(863\) | 230.416 | − | 452.217i | 0.266994 | − | 0.524006i | −0.718117 | − | 0.695922i | \(-0.754996\pi\) |
0.985112 | + | 0.171916i | \(0.0549958\pi\) | |||||||
\(864\) | 1269.88 | + | 412.608i | 1.46976 | + | 0.477555i | ||||
\(865\) | −14.9907 | + | 0.00798814i | −0.0173303 | + | 9.23485e-6i | ||||
\(866\) | 209.754 | + | 645.557i | 0.242210 | + | 0.745447i | ||||
\(867\) | 82.0618 | − | 518.118i | 0.0946503 | − | 0.597598i | ||||
\(868\) | −632.421 | − | 632.421i | −0.728596 | − | 0.728596i | ||||
\(869\) | 536.907 | + | 738.990i | 0.617845 | + | 0.850391i | ||||
\(870\) | 181.105 | − | 355.906i | 0.208166 | − | 0.409088i | ||||
\(871\) | 1181.88 | + | 858.689i | 1.35693 | + | 0.985865i | ||||
\(872\) | −34.0466 | + | 5.39245i | −0.0390443 | + | 0.00618400i | ||||
\(873\) | 364.226 | − | 185.582i | 0.417212 | − | 0.212580i | ||||
\(874\) | − | 624.197i | − | 0.714185i | ||||||
\(875\) | 487.206 | + | 352.787i | 0.556807 | + | 0.403185i | ||||
\(876\) | −754.001 | −0.860732 | ||||||||
\(877\) | −344.645 | − | 676.405i | −0.392982 | − | 0.771271i | 0.606739 | − | 0.794901i | \(-0.292477\pi\) |
−0.999721 | + | 0.0236305i | \(0.992477\pi\) | |||||||
\(878\) | −259.919 | − | 1641.06i | −0.296035 | − | 1.86909i | ||||
\(879\) | −395.938 | + | 544.962i | −0.450441 | + | 0.619979i | ||||
\(880\) | −647.865 | − | 329.669i | −0.736210 | − | 0.374624i | ||||
\(881\) | 1289.21 | − | 936.668i | 1.46335 | − | 1.06319i | 0.480879 | − | 0.876787i | \(-0.340318\pi\) |
0.982474 | − | 0.186401i | \(-0.0596822\pi\) | |||||||
\(882\) | −188.186 | + | 188.186i | −0.213363 | + | 0.213363i | ||||
\(883\) | −931.459 | − | 147.529i | −1.05488 | − | 0.167076i | −0.395178 | − | 0.918604i | \(-0.629317\pi\) |
−0.659701 | + | 0.751528i | \(0.729317\pi\) | |||||||
\(884\) | −786.207 | + | 255.454i | −0.889374 | + | 0.288975i | ||||
\(885\) | −0.409043 | − | 767.618i | −0.000462195 | − | 0.867365i | ||||
\(886\) | −405.931 | + | 1249.33i | −0.458161 | + | 1.41007i | ||||
\(887\) | 142.960 | + | 72.8418i | 0.161173 | + | 0.0821216i | 0.532716 | − | 0.846294i | \(-0.321171\pi\) |
−0.371544 | + | 0.928416i | \(0.621171\pi\) | |||||||
\(888\) | 10.3816 | − | 20.3751i | 0.0116910 | − | 0.0229449i | ||||
\(889\) | −299.646 | − | 97.3610i | −0.337060 | − | 0.109517i | ||||
\(890\) | 117.502 | − | 362.291i | 0.132025 | − | 0.407069i | ||||
\(891\) | 103.663 | + | 319.042i | 0.116345 | + | 0.358072i | ||||
\(892\) | −16.2110 | + | 102.352i | −0.0181738 | + | 0.114745i | ||||
\(893\) | −76.7984 | − | 76.7984i | −0.0860005 | − | 0.0860005i | ||||
\(894\) | −725.296 | − | 998.284i | −0.811293 | − | 1.11665i | ||||
\(895\) | −833.904 | + | 425.455i | −0.931736 | + | 0.475369i | ||||
\(896\) | 52.2625 | + | 37.9710i | 0.0583287 | + | 0.0423783i | ||||
\(897\) | 865.310 | − | 137.052i | 0.964671 | − | 0.152789i | ||||
\(898\) | 124.856 | − | 63.6173i | 0.139038 | − | 0.0708433i | ||||
\(899\) | 540.042i | 0.600714i | ||||||||
\(900\) | −355.628 | + | 115.970i | −0.395143 | + | 0.128855i | ||||
\(901\) | −239.822 | −0.266174 | ||||||||
\(902\) | 42.2536 | + | 82.9274i | 0.0468444 | + | 0.0919372i | ||||
\(903\) | 17.8414 | + | 112.646i | 0.0197579 | + | 0.124746i | ||||
\(904\) | −2.13733 | + | 2.94178i | −0.00236430 | + | 0.00325418i | ||||
\(905\) | −650.620 | + | 103.404i | −0.718917 | + | 0.114258i | ||||
\(906\) | −389.127 | + | 282.717i | −0.429500 | + | 0.312050i | ||||
\(907\) | −1101.40 | + | 1101.40i | −1.21434 | + | 1.21434i | −0.244752 | + | 0.969586i | \(0.578707\pi\) |
−0.969586 | + | 0.244752i | \(0.921293\pi\) | |||||||
\(908\) | 100.493 | + | 15.9165i | 0.110675 | + | 0.0175292i | ||||
\(909\) | 524.809 | − | 170.521i | 0.577348 | − | 0.187592i | ||||
\(910\) | −1638.87 | + | 533.466i | −1.80095 | + | 0.586227i | ||||
\(911\) | 264.756 | − | 814.836i | 0.290622 | − | 0.894441i | −0.694036 | − | 0.719941i | \(-0.744169\pi\) |
0.984657 | − | 0.174500i | \(-0.0558310\pi\) | |||||||
\(912\) | −463.177 | − | 236.000i | −0.507869 | − | 0.258772i | ||||
\(913\) | 323.821 | − | 635.535i | 0.354678 | − | 0.696095i | ||||
\(914\) | 1339.65 | + | 435.278i | 1.46570 | + | 0.476234i | ||||
\(915\) | −409.161 | − | 296.940i | −0.447170 | − | 0.324524i | ||||
\(916\) | −161.001 | − | 495.512i | −0.175766 | − | 0.540952i | ||||
\(917\) | 111.210 | − | 702.154i | 0.121276 | − | 0.765707i | ||||
\(918\) | −469.348 | − | 469.348i | −0.511273 | − | 0.511273i | ||||
\(919\) | 802.877 | + | 1105.06i | 0.873641 | + | 1.20246i | 0.978142 | + | 0.207939i | \(0.0666757\pi\) |
−0.104500 | + | 0.994525i | \(0.533324\pi\) | |||||||
\(920\) | 31.1699 | + | 4.91980i | 0.0338803 | + | 0.00534761i | ||||
\(921\) | 208.051 | + | 151.158i | 0.225897 | + | 0.164124i | ||||
\(922\) | −1140.51 | + | 180.640i | −1.23700 | + | 0.195922i | ||||
\(923\) | 1069.18 | − | 544.774i | 1.15837 | − | 0.590221i | ||||
\(924\) | 437.759i | 0.473765i | ||||||||
\(925\) | −92.3615 | − | 579.152i | −0.0998502 | − | 0.626110i | ||||
\(926\) | 499.579 | 0.539502 | ||||||||
\(927\) | −132.880 | − | 260.791i | −0.143344 | − | 0.281328i | ||||
\(928\) | −85.9715 | − | 542.803i | −0.0926417 | − | 0.584917i | ||||
\(929\) | −301.735 | + | 415.302i | −0.324795 | + | 0.447042i | −0.939924 | − | 0.341385i | \(-0.889104\pi\) |
0.615128 | + | 0.788427i | \(0.289104\pi\) | |||||||
\(930\) | −1049.64 | + | 1050.76i | −1.12864 | + | 1.12985i | ||||
\(931\) | 304.122 | − | 220.958i | 0.326662 | − | 0.237334i | ||||
\(932\) | −205.406 | + | 205.406i | −0.220393 | + | 0.220393i | ||||
\(933\) | 19.0269 | + | 3.01357i | 0.0203933 | + | 0.00322998i | ||||
\(934\) | −2087.84 | + | 678.379i | −2.23537 | + | 0.726316i | ||||
\(935\) | 220.683 | + | 303.405i | 0.236025 | + | 0.324497i | ||||
\(936\) | 11.7457 | − | 36.1494i | 0.0125488 | − | 0.0386212i | ||||
\(937\) | 42.1783 | + | 21.4909i | 0.0450141 | + | 0.0229359i | 0.476353 | − | 0.879254i | \(-0.341959\pi\) |
−0.431339 | + | 0.902190i | \(0.641959\pi\) | |||||||
\(938\) | −362.999 | + | 712.425i | −0.386992 | + | 0.759515i | ||||
\(939\) | 410.041 | + | 133.231i | 0.436679 | + | 0.141886i | ||||
\(940\) | 125.205 | − | 91.0686i | 0.133197 | − | 0.0968815i | ||||
\(941\) | −425.108 | − | 1308.35i | −0.451762 | − | 1.39038i | −0.874895 | − | 0.484312i | \(-0.839070\pi\) |
0.423133 | − | 0.906067i | \(-0.360930\pi\) | |||||||
\(942\) | −38.8297 | + | 245.161i | −0.0412205 | + | 0.260256i | ||||
\(943\) | 36.6944 | + | 36.6944i | 0.0389124 | + | 0.0389124i | ||||
\(944\) | −598.077 | − | 823.183i | −0.633556 | − | 0.872016i | ||||
\(945\) | −498.367 | − | 497.836i | −0.527372 | − | 0.526811i | ||||
\(946\) | 222.643 | + | 161.760i | 0.235352 | + | 0.170994i | ||||
\(947\) | −206.299 | + | 32.6746i | −0.217845 | + | 0.0345032i | −0.264403 | − | 0.964412i | \(-0.585175\pi\) |
0.0465579 | + | 0.998916i | \(0.485175\pi\) | |||||||
\(948\) | −829.671 | + | 422.739i | −0.875181 | + | 0.445927i | ||||
\(949\) | − | 1964.96i | − | 2.07056i | ||||||
\(950\) | 1025.03 | − | 163.468i | 1.07897 | − | 0.172072i | ||||
\(951\) | 916.278 | 0.963489 | ||||||||
\(952\) | −7.28469 | − | 14.2970i | −0.00765199 | − | 0.0150179i | ||||
\(953\) | −16.3826 | − | 103.436i | −0.0171906 | − | 0.108537i | 0.977601 | − | 0.210467i | \(-0.0674984\pi\) |
−0.994792 | + | 0.101930i | \(0.967498\pi\) | |||||||
\(954\) | 182.760 | − | 251.547i | 0.191572 | − | 0.263676i | ||||
\(955\) | 291.432 | − | 1846.40i | 0.305164 | − | 1.93340i | ||||
\(956\) | 642.773 | − | 467.002i | 0.672356 | − | 0.488496i | ||||
\(957\) | 186.907 | − | 186.907i | 0.195305 | − | 0.195305i | ||||
\(958\) | −193.173 | − | 30.5956i | −0.201642 | − | 0.0319369i | ||||
\(959\) | 537.498 | − | 174.644i | 0.560477 | − | 0.182110i | ||||
\(960\) | 467.926 | − | 644.767i | 0.487423 | − | 0.671632i | ||||
\(961\) | 323.703 | − | 996.254i | 0.336839 | − | 1.03669i | ||||
\(962\) | 1497.23 | + | 762.877i | 1.55637 | + | 0.793012i | ||||
\(963\) | −89.4101 | + | 175.477i | −0.0928454 | + | 0.182219i | ||||
\(964\) | −698.829 | − | 227.063i | −0.724927 | − | 0.235543i | ||||
\(965\) | −93.7879 | − | 288.127i | −0.0971895 | − | 0.298577i | ||||
\(966\) | 148.175 | + | 456.036i | 0.153390 | + | 0.472087i | ||||
\(967\) | −214.271 | + | 1352.86i | −0.221584 | + | 1.39902i | 0.586496 | + | 0.809952i | \(0.300507\pi\) |
−0.808080 | + | 0.589073i | \(0.799493\pi\) | |||||||
\(968\) | −9.42821 | − | 9.42821i | −0.00973988 | − | 0.00973988i | ||||
\(969\) | 157.700 | + | 217.055i | 0.162745 | + | 0.223999i | ||||
\(970\) | −253.801 | − | 1596.93i | −0.261650 | − | 1.64632i | ||||
\(971\) | −1232.51 | − | 895.472i | −1.26932 | − | 0.922217i | −0.270147 | − | 0.962819i | \(-0.587072\pi\) |
−0.999175 | + | 0.0406025i | \(0.987072\pi\) | |||||||
\(972\) | 741.500 | − | 117.442i | 0.762860 | − | 0.120825i | ||||
\(973\) | −587.184 | + | 299.185i | −0.603477 | + | 0.307487i | ||||
\(974\) | 2256.13i | 2.31635i | ||||||||
\(975\) | 451.671 | + | 1385.08i | 0.463253 | + | 1.42059i | ||||
\(976\) | −670.134 | −0.686613 | ||||||||
\(977\) | 694.225 | + | 1362.49i | 0.710568 | + | 1.39457i | 0.909980 | + | 0.414652i | \(0.136097\pi\) |
−0.199412 | + | 0.979916i | \(0.563903\pi\) | |||||||
\(978\) | 5.54515 | + | 35.0107i | 0.00566989 | + | 0.0357983i | ||||
\(979\) | 148.183 | − | 203.957i | 0.151362 | − | 0.208332i | ||||
\(980\) | 243.531 | + | 477.328i | 0.248501 | + | 0.487070i | ||||
\(981\) | 239.682 | − | 174.139i | 0.244324 | − | 0.177512i | ||||
\(982\) | −266.872 | + | 266.872i | −0.271764 | + | 0.271764i | ||||
\(983\) | −973.204 | − | 154.140i | −0.990034 | − | 0.156806i | −0.359648 | − | 0.933088i | \(-0.617103\pi\) |
−0.630386 | + | 0.776282i | \(0.717103\pi\) | |||||||
\(984\) | −3.20008 | + | 1.03977i | −0.00325211 | + | 0.00105668i | ||||
\(985\) | 1747.77 | + | 566.856i | 1.77439 | + | 0.575488i | ||||
\(986\) | −84.4228 | + | 259.827i | −0.0856215 | + | 0.263516i | ||||
\(987\) | 74.3395 | + | 37.8779i | 0.0753186 | + | 0.0383768i | ||||
\(988\) | −687.285 | + | 1348.87i | −0.695633 | + | 1.36526i | ||||
\(989\) | 145.934 | + | 47.4168i | 0.147557 | + | 0.0479442i | ||||
\(990\) | −486.412 | + | 0.259196i | −0.491325 | + | 0.000261814i | ||||
\(991\) | 282.285 | + | 868.785i | 0.284849 | + | 0.876675i | 0.986444 | + | 0.164099i | \(0.0524716\pi\) |
−0.701595 | + | 0.712576i | \(0.747528\pi\) | |||||||
\(992\) | −319.745 | + | 2018.79i | −0.322324 | + | 2.03507i | ||||
\(993\) | 700.066 | + | 700.066i | 0.705001 | + | 0.705001i | ||||
\(994\) | 386.038 | + | 531.335i | 0.388368 | + | 0.534543i | ||||
\(995\) | 617.094 | − | 1212.71i | 0.620195 | − | 1.21881i | ||||
\(996\) | 588.248 | + | 427.387i | 0.590611 | + | 0.429104i | ||||
\(997\) | 1214.96 | − | 192.430i | 1.21861 | − | 0.193009i | 0.486185 | − | 0.873856i | \(-0.338388\pi\) |
0.732426 | + | 0.680847i | \(0.238388\pi\) | |||||||
\(998\) | 1394.77 | − | 710.672i | 1.39757 | − | 0.712096i | ||||
\(999\) | 686.796i | 0.687483i |
(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 | 25.3.f.a.3.4 | ✓ | 32 | |
3.2 | odd | 2 | 225.3.r.a.28.1 | 32 | |||
4.3 | odd | 2 | 400.3.bg.c.353.4 | 32 | |||
5.2 | odd | 4 | 125.3.f.a.7.1 | 32 | |||
5.3 | odd | 4 | 125.3.f.b.7.4 | 32 | |||
5.4 | even | 2 | 125.3.f.c.118.1 | 32 | |||
25.6 | even | 5 | 125.3.f.a.18.1 | 32 | |||
25.8 | odd | 20 | 125.3.f.c.107.1 | 32 | |||
25.17 | odd | 20 | inner | 25.3.f.a.17.4 | yes | 32 | |
25.19 | even | 10 | 125.3.f.b.18.4 | 32 | |||
75.17 | even | 20 | 225.3.r.a.217.1 | 32 | |||
100.67 | even | 20 | 400.3.bg.c.17.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.3.f.a.3.4 | ✓ | 32 | 1.1 | even | 1 | trivial | |
25.3.f.a.17.4 | yes | 32 | 25.17 | odd | 20 | inner | |
125.3.f.a.7.1 | 32 | 5.2 | odd | 4 | |||
125.3.f.a.18.1 | 32 | 25.6 | even | 5 | |||
125.3.f.b.7.4 | 32 | 5.3 | odd | 4 | |||
125.3.f.b.18.4 | 32 | 25.19 | even | 10 | |||
125.3.f.c.107.1 | 32 | 25.8 | odd | 20 | |||
125.3.f.c.118.1 | 32 | 5.4 | even | 2 | |||
225.3.r.a.28.1 | 32 | 3.2 | odd | 2 | |||
225.3.r.a.217.1 | 32 | 75.17 | even | 20 | |||
400.3.bg.c.17.4 | 32 | 100.67 | even | 20 | |||
400.3.bg.c.353.4 | 32 | 4.3 | odd | 2 |