Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(29,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.3 | ||
Character | \(\chi\) | \(=\) | 175.29 |
Dual form | 175.2.n.a.169.3 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.82157 | − | 0.591863i | −1.28804 | − | 0.418511i | −0.416637 | − | 0.909073i | \(-0.636791\pi\) |
−0.871406 | + | 0.490562i | \(0.836791\pi\) | |||||||
\(3\) | −1.68900 | + | 2.32470i | −0.975142 | + | 1.34217i | −0.0357365 | + | 0.999361i | \(0.511378\pi\) |
−0.939406 | + | 0.342807i | \(0.888622\pi\) | |||||||
\(4\) | 1.34977 | + | 0.980668i | 0.674887 | + | 0.490334i | ||||
\(5\) | 2.12640 | − | 0.691667i | 0.950957 | − | 0.309323i | ||||
\(6\) | 4.45253 | − | 3.23495i | 1.81774 | − | 1.32066i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 0.373298 | + | 0.513801i | 0.131981 | + | 0.181656i | ||||
\(9\) | −1.62449 | − | 4.99966i | −0.541496 | − | 1.66655i | ||||
\(10\) | −4.28276 | + | 0.00137701i | −1.35433 | + | 0.000435449i | ||||
\(11\) | −0.946113 | + | 2.91184i | −0.285264 | + | 0.877951i | 0.701056 | + | 0.713106i | \(0.252712\pi\) |
−0.986319 | + | 0.164845i | \(0.947288\pi\) | |||||||
\(12\) | −4.55953 | + | 1.48148i | −1.31622 | + | 0.427666i | ||||
\(13\) | −5.74099 | + | 1.86536i | −1.59226 | + | 0.517358i | −0.965178 | − | 0.261594i | \(-0.915752\pi\) |
−0.627085 | + | 0.778951i | \(0.715752\pi\) | |||||||
\(14\) | 0.591863 | − | 1.82157i | 0.158182 | − | 0.486835i | ||||
\(15\) | −1.98357 | + | 6.11148i | −0.512155 | + | 1.57798i | ||||
\(16\) | −1.40702 | − | 4.33037i | −0.351756 | − | 1.08259i | ||||
\(17\) | −0.811636 | − | 1.11712i | −0.196851 | − | 0.270942i | 0.699169 | − | 0.714957i | \(-0.253554\pi\) |
−0.896019 | + | 0.444015i | \(0.853554\pi\) | |||||||
\(18\) | 10.0687i | 2.37322i | ||||||||
\(19\) | −5.21871 | + | 3.79161i | −1.19725 | + | 0.869855i | −0.994012 | − | 0.109273i | \(-0.965148\pi\) |
−0.203241 | + | 0.979129i | \(0.565148\pi\) | |||||||
\(20\) | 3.54846 | + | 1.15170i | 0.793460 | + | 0.257529i | ||||
\(21\) | −2.32470 | − | 1.68900i | −0.507292 | − | 0.368569i | ||||
\(22\) | 3.44682 | − | 4.74414i | 0.734864 | − | 1.01145i | ||||
\(23\) | 1.88770 | + | 0.613350i | 0.393612 | + | 0.127892i | 0.499134 | − | 0.866525i | \(-0.333651\pi\) |
−0.105522 | + | 0.994417i | \(0.533651\pi\) | |||||||
\(24\) | −1.82493 | −0.372513 | ||||||||
\(25\) | 4.04319 | − | 2.94153i | 0.808639 | − | 0.588305i | ||||
\(26\) | 11.5616 | 2.26742 | ||||||||
\(27\) | 6.16793 | + | 2.00408i | 1.18702 | + | 0.385686i | ||||
\(28\) | −0.980668 | + | 1.34977i | −0.185329 | + | 0.255083i | ||||
\(29\) | 1.48069 | + | 1.07578i | 0.274957 | + | 0.199768i | 0.716715 | − | 0.697366i | \(-0.245645\pi\) |
−0.441758 | + | 0.897134i | \(0.645645\pi\) | |||||||
\(30\) | 7.23037 | − | 9.95848i | 1.32008 | − | 1.81816i | ||||
\(31\) | −0.823057 | + | 0.597986i | −0.147825 | + | 0.107401i | −0.659240 | − | 0.751933i | \(-0.729122\pi\) |
0.511414 | + | 0.859334i | \(0.329122\pi\) | |||||||
\(32\) | 7.45065i | 1.31710i | ||||||||
\(33\) | −5.17117 | − | 7.11751i | −0.900186 | − | 1.23900i | ||||
\(34\) | 0.817268 | + | 2.51529i | 0.140160 | + | 0.431369i | ||||
\(35\) | 0.691667 | + | 2.12640i | 0.116913 | + | 0.359428i | ||||
\(36\) | 2.71032 | − | 8.34150i | 0.451720 | − | 1.39025i | ||||
\(37\) | −9.53485 | + | 3.09806i | −1.56752 | + | 0.509318i | −0.958804 | − | 0.284070i | \(-0.908315\pi\) |
−0.608716 | + | 0.793388i | \(0.708315\pi\) | |||||||
\(38\) | 11.7503 | − | 3.81792i | 1.90616 | − | 0.619348i | ||||
\(39\) | 5.36009 | − | 16.4967i | 0.858302 | − | 2.64158i | ||||
\(40\) | 1.14916 | + | 0.834350i | 0.181698 | + | 0.131922i | ||||
\(41\) | 2.44609 | + | 7.52829i | 0.382015 | + | 1.17572i | 0.938623 | + | 0.344946i | \(0.112103\pi\) |
−0.556608 | + | 0.830775i | \(0.687897\pi\) | |||||||
\(42\) | 3.23495 | + | 4.45253i | 0.499164 | + | 0.687040i | ||||
\(43\) | − | 4.42793i | − | 0.675253i | −0.941280 | − | 0.337627i | \(-0.890376\pi\) | ||
0.941280 | − | 0.337627i | \(-0.109624\pi\) | |||||||
\(44\) | −4.13258 | + | 3.00250i | −0.623010 | + | 0.452644i | ||||
\(45\) | −6.91242 | − | 9.50770i | −1.03044 | − | 1.41732i | ||||
\(46\) | −3.07555 | − | 2.23452i | −0.453465 | − | 0.329462i | ||||
\(47\) | −1.06234 | + | 1.46218i | −0.154958 | + | 0.213281i | −0.879437 | − | 0.476016i | \(-0.842080\pi\) |
0.724479 | + | 0.689297i | \(0.242080\pi\) | |||||||
\(48\) | 12.4433 | + | 4.04307i | 1.79603 | + | 0.583567i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −9.10594 | + | 2.96517i | −1.28777 | + | 0.419339i | ||||
\(51\) | 3.96783 | 0.555607 | ||||||||
\(52\) | −9.57833 | − | 3.11219i | −1.32828 | − | 0.431583i | ||||
\(53\) | 5.00723 | − | 6.89187i | 0.687796 | − | 0.946671i | −0.312198 | − | 0.950017i | \(-0.601065\pi\) |
0.999994 | + | 0.00334646i | \(0.00106521\pi\) | |||||||
\(54\) | −10.0492 | − | 7.30114i | −1.36752 | − | 0.993559i | ||||
\(55\) | 0.00220120 | + | 6.84614i | 0.000296809 | + | 0.923133i | ||||
\(56\) | −0.513801 | + | 0.373298i | −0.0686595 | + | 0.0498840i | ||||
\(57\) | − | 18.5360i | − | 2.45515i | ||||||
\(58\) | −2.06046 | − | 2.83598i | −0.270552 | − | 0.372382i | ||||
\(59\) | 1.23870 | + | 3.81234i | 0.161266 | + | 0.496324i | 0.998742 | − | 0.0501495i | \(-0.0159698\pi\) |
−0.837476 | + | 0.546474i | \(0.815970\pi\) | |||||||
\(60\) | −8.67071 | + | 6.30390i | −1.11938 | + | 0.813830i | ||||
\(61\) | −0.853734 | + | 2.62752i | −0.109309 | + | 0.336420i | −0.990718 | − | 0.135935i | \(-0.956596\pi\) |
0.881408 | + | 0.472355i | \(0.156596\pi\) | |||||||
\(62\) | 1.85318 | − | 0.602135i | 0.235354 | − | 0.0764712i | ||||
\(63\) | 4.99966 | − | 1.62449i | 0.629898 | − | 0.204666i | ||||
\(64\) | 1.59572 | − | 4.91112i | 0.199465 | − | 0.613890i | ||||
\(65\) | −10.9175 | + | 7.93736i | −1.35414 | + | 0.984508i | ||||
\(66\) | 5.20705 | + | 16.0257i | 0.640944 | + | 1.97262i | ||||
\(67\) | 4.52025 | + | 6.22159i | 0.552237 | + | 0.760089i | 0.990314 | − | 0.138849i | \(-0.0443402\pi\) |
−0.438077 | + | 0.898938i | \(0.644340\pi\) | |||||||
\(68\) | − | 2.30381i | − | 0.279378i | ||||||
\(69\) | −4.61417 | + | 3.35239i | −0.555481 | + | 0.403581i | ||||
\(70\) | −0.00137701 | − | 4.28276i | −0.000164584 | − | 0.511888i | ||||
\(71\) | 7.00021 | + | 5.08595i | 0.830772 | + | 0.603591i | 0.919778 | − | 0.392440i | \(-0.128369\pi\) |
−0.0890056 | + | 0.996031i | \(0.528369\pi\) | |||||||
\(72\) | 1.96241 | − | 2.70103i | 0.231272 | − | 0.318319i | ||||
\(73\) | 15.6016 | + | 5.06928i | 1.82603 | + | 0.593314i | 0.999539 | + | 0.0303702i | \(0.00966861\pi\) |
0.826495 | + | 0.562944i | \(0.190331\pi\) | |||||||
\(74\) | 19.2020 | 2.23219 | ||||||||
\(75\) | 0.00923896 | + | 14.3675i | 0.00106682 | + | 1.65901i | ||||
\(76\) | −10.7624 | −1.23453 | ||||||||
\(77\) | −2.91184 | − | 0.946113i | −0.331834 | − | 0.107820i | ||||
\(78\) | −19.5276 | + | 26.8774i | −2.21106 | + | 3.04326i | ||||
\(79\) | 0.563983 | + | 0.409757i | 0.0634530 | + | 0.0461013i | 0.619060 | − | 0.785344i | \(-0.287514\pi\) |
−0.555607 | + | 0.831445i | \(0.687514\pi\) | |||||||
\(80\) | −5.98708 | − | 8.23494i | −0.669376 | − | 0.920694i | ||||
\(81\) | −2.31760 | + | 1.68383i | −0.257511 | + | 0.187093i | ||||
\(82\) | − | 15.1610i | − | 1.67426i | ||||||
\(83\) | −3.79263 | − | 5.22011i | −0.416295 | − | 0.572981i | 0.548444 | − | 0.836187i | \(-0.315220\pi\) |
−0.964740 | + | 0.263206i | \(0.915220\pi\) | |||||||
\(84\) | −1.48148 | − | 4.55953i | −0.161643 | − | 0.497485i | ||||
\(85\) | −2.49854 | − | 1.81407i | −0.271005 | − | 0.196764i | ||||
\(86\) | −2.62073 | + | 8.06578i | −0.282601 | + | 0.869755i | ||||
\(87\) | −5.00176 | + | 1.62517i | −0.536244 | + | 0.174236i | ||||
\(88\) | −1.84928 | + | 0.600869i | −0.197134 | + | 0.0640528i | ||||
\(89\) | 1.35657 | − | 4.17510i | 0.143796 | − | 0.442560i | −0.853058 | − | 0.521816i | \(-0.825255\pi\) |
0.996854 | + | 0.0792567i | \(0.0252547\pi\) | |||||||
\(90\) | 6.96418 | + | 21.4101i | 0.734089 | + | 2.25683i | ||||
\(91\) | −1.86536 | − | 5.74099i | −0.195543 | − | 0.601819i | ||||
\(92\) | 1.94647 | + | 2.67909i | 0.202934 | + | 0.279314i | ||||
\(93\) | − | 2.92336i | − | 0.303138i | ||||||
\(94\) | 2.80053 | − | 2.03470i | 0.288853 | − | 0.209864i | ||||
\(95\) | −8.47455 | + | 11.6721i | −0.869470 | + | 1.19753i | ||||
\(96\) | −17.3206 | − | 12.5841i | −1.76777 | − | 1.28436i | ||||
\(97\) | −5.77321 | + | 7.94614i | −0.586180 | + | 0.806808i | −0.994356 | − | 0.106095i | \(-0.966165\pi\) |
0.408176 | + | 0.912903i | \(0.366165\pi\) | |||||||
\(98\) | 1.82157 | + | 0.591863i | 0.184006 | + | 0.0597872i | ||||
\(99\) | 16.0951 | 1.61762 | ||||||||
\(100\) | 8.34206 | − | 0.00536434i | 0.834206 | − | 0.000536434i | ||||
\(101\) | 0.995054 | 0.0990115 | 0.0495058 | − | 0.998774i | \(-0.484235\pi\) | ||||
0.0495058 | + | 0.998774i | \(0.484235\pi\) | |||||||
\(102\) | −7.22767 | − | 2.34841i | −0.715646 | − | 0.232527i | ||||
\(103\) | 7.97152 | − | 10.9719i | 0.785458 | − | 1.08109i | −0.209201 | − | 0.977873i | \(-0.567086\pi\) |
0.994659 | − | 0.103217i | \(-0.0329136\pi\) | |||||||
\(104\) | −3.10152 | − | 2.25339i | −0.304129 | − | 0.220963i | ||||
\(105\) | −6.11148 | − | 1.98357i | −0.596420 | − | 0.193577i | ||||
\(106\) | −13.2001 | + | 9.59041i | −1.28210 | + | 0.931503i | ||||
\(107\) | − | 0.180414i | − | 0.0174413i | −0.999962 | − | 0.00872066i | \(-0.997224\pi\) | ||
0.999962 | − | 0.00872066i | \(-0.00277591\pi\) | |||||||
\(108\) | 6.35997 | + | 8.75375i | 0.611988 | + | 0.842330i | ||||
\(109\) | −2.44560 | − | 7.52677i | −0.234246 | − | 0.720934i | −0.997221 | − | 0.0745060i | \(-0.976262\pi\) |
0.762975 | − | 0.646428i | \(-0.223738\pi\) | |||||||
\(110\) | 4.04797 | − | 12.4720i | 0.385959 | − | 1.18916i | ||||
\(111\) | 8.90225 | − | 27.3983i | 0.844964 | − | 2.60053i | ||||
\(112\) | 4.33037 | − | 1.40702i | 0.409182 | − | 0.132951i | ||||
\(113\) | −5.10272 | + | 1.65798i | −0.480024 | + | 0.155969i | −0.539027 | − | 0.842289i | \(-0.681208\pi\) |
0.0590029 | + | 0.998258i | \(0.481208\pi\) | |||||||
\(114\) | −10.9708 | + | 33.7645i | −1.02751 | + | 3.16234i | ||||
\(115\) | 4.43824 | − | 0.00142700i | 0.413868 | − | 0.000133069i | ||||
\(116\) | 0.943609 | + | 2.90413i | 0.0876119 | + | 0.269642i | ||||
\(117\) | 18.6523 | + | 25.6727i | 1.72441 | + | 2.37344i | ||||
\(118\) | − | 7.67758i | − | 0.706778i | ||||||
\(119\) | 1.11712 | − | 0.811636i | 0.102406 | − | 0.0744026i | ||||
\(120\) | −3.88055 | + | 1.26225i | −0.354244 | + | 0.115227i | ||||
\(121\) | 1.31553 | + | 0.955789i | 0.119594 | + | 0.0868899i | ||||
\(122\) | 3.11027 | − | 4.28092i | 0.281591 | − | 0.387576i | ||||
\(123\) | −21.6325 | − | 7.02882i | −1.95053 | − | 0.633767i | ||||
\(124\) | −1.69737 | −0.152428 | ||||||||
\(125\) | 6.56291 | − | 9.05142i | 0.587005 | − | 0.809584i | ||||
\(126\) | −10.0687 | −0.896991 | ||||||||
\(127\) | −2.03426 | − | 0.660970i | −0.180511 | − | 0.0586516i | 0.217367 | − | 0.976090i | \(-0.430253\pi\) |
−0.397878 | + | 0.917438i | \(0.630253\pi\) | |||||||
\(128\) | 2.94534 | − | 4.05391i | 0.260334 | − | 0.358319i | ||||
\(129\) | 10.2936 | + | 7.47876i | 0.906304 | + | 0.658468i | ||||
\(130\) | 24.5847 | − | 7.99680i | 2.15622 | − | 0.701366i | ||||
\(131\) | −10.5901 | + | 7.69414i | −0.925259 | + | 0.672240i | −0.944827 | − | 0.327569i | \(-0.893771\pi\) |
0.0195687 | + | 0.999809i | \(0.493771\pi\) | |||||||
\(132\) | − | 14.6782i | − | 1.27758i | ||||||
\(133\) | −3.79161 | − | 5.21871i | −0.328774 | − | 0.452519i | ||||
\(134\) | −4.55161 | − | 14.0084i | −0.393200 | − | 1.21014i | ||||
\(135\) | 14.5017 | − | 0.00466263i | 1.24810 | − | 0.000401295i | ||||
\(136\) | 0.270996 | − | 0.834038i | 0.0232377 | − | 0.0715182i | ||||
\(137\) | 7.98654 | − | 2.59499i | 0.682336 | − | 0.221705i | 0.0527184 | − | 0.998609i | \(-0.483211\pi\) |
0.629618 | + | 0.776905i | \(0.283211\pi\) | |||||||
\(138\) | 10.3892 | − | 3.37565i | 0.884386 | − | 0.287355i | ||||
\(139\) | −7.19021 | + | 22.1292i | −0.609866 | + | 1.87697i | −0.150822 | + | 0.988561i | \(0.548192\pi\) |
−0.459044 | + | 0.888414i | \(0.651808\pi\) | |||||||
\(140\) | −1.15170 | + | 3.54846i | −0.0973368 | + | 0.299900i | ||||
\(141\) | −1.60486 | − | 4.93924i | −0.135153 | − | 0.415959i | ||||
\(142\) | −9.74117 | − | 13.4076i | −0.817461 | − | 1.12514i | ||||
\(143\) | − | 18.4816i | − | 1.54551i | ||||||
\(144\) | −19.3647 | + | 14.0693i | −1.61373 | + | 1.17244i | ||||
\(145\) | 3.89263 | + | 1.26341i | 0.323265 | + | 0.104920i | ||||
\(146\) | −25.4191 | − | 18.4681i | −2.10370 | − | 1.52843i | ||||
\(147\) | 1.68900 | − | 2.32470i | 0.139306 | − | 0.191738i | ||||
\(148\) | −15.9081 | − | 5.16884i | −1.30763 | − | 0.424876i | ||||
\(149\) | 14.6482 | 1.20002 | 0.600012 | − | 0.799991i | \(-0.295162\pi\) | ||||
0.600012 | + | 0.799991i | \(0.295162\pi\) | |||||||
\(150\) | 8.48674 | − | 26.1768i | 0.692940 | − | 2.13732i | ||||
\(151\) | 4.82167 | 0.392382 | 0.196191 | − | 0.980566i | \(-0.437143\pi\) | ||||
0.196191 | + | 0.980566i | \(0.437143\pi\) | |||||||
\(152\) | −3.89626 | − | 1.26597i | −0.316029 | − | 0.102684i | ||||
\(153\) | −4.26674 | + | 5.87266i | −0.344945 | + | 0.474776i | ||||
\(154\) | 4.74414 | + | 3.44682i | 0.382293 | + | 0.277752i | ||||
\(155\) | −1.33655 | + | 1.84084i | −0.107354 | + | 0.147860i | ||||
\(156\) | 23.4127 | − | 17.0103i | 1.87451 | − | 1.36191i | ||||
\(157\) | 2.79319i | 0.222921i | 0.993769 | + | 0.111461i | \(0.0355529\pi\) | ||||
−0.993769 | + | 0.111461i | \(0.964447\pi\) | |||||||
\(158\) | −0.784813 | − | 1.08020i | −0.0624363 | − | 0.0859363i | ||||
\(159\) | 7.56435 | + | 23.2807i | 0.599892 | + | 1.84628i | ||||
\(160\) | 5.15337 | + | 15.8431i | 0.407410 | + | 1.25251i | ||||
\(161\) | −0.613350 | + | 1.88770i | −0.0483388 | + | 0.148771i | ||||
\(162\) | 5.21826 | − | 1.69552i | 0.409986 | − | 0.133212i | ||||
\(163\) | 0.527726 | − | 0.171468i | 0.0413347 | − | 0.0134304i | −0.288277 | − | 0.957547i | \(-0.593082\pi\) |
0.329611 | + | 0.944117i | \(0.393082\pi\) | |||||||
\(164\) | −4.08109 | + | 12.5603i | −0.318679 | + | 0.980794i | ||||
\(165\) | −15.9190 | − | 11.5580i | −1.23929 | − | 0.899787i | ||||
\(166\) | 3.81894 | + | 11.7535i | 0.296408 | + | 0.912249i | ||||
\(167\) | 9.52971 | + | 13.1165i | 0.737431 | + | 1.01499i | 0.998762 | + | 0.0497380i | \(0.0158386\pi\) |
−0.261331 | + | 0.965249i | \(0.584161\pi\) | |||||||
\(168\) | − | 1.82493i | − | 0.140797i | ||||||
\(169\) | 18.9621 | − | 13.7768i | 1.45862 | − | 1.05975i | ||||
\(170\) | 3.47759 | + | 4.78325i | 0.266719 | + | 0.366859i | ||||
\(171\) | 27.4345 | + | 19.9323i | 2.09797 | + | 1.52426i | ||||
\(172\) | 4.34233 | − | 5.97671i | 0.331100 | − | 0.455720i | ||||
\(173\) | 17.7256 | + | 5.75941i | 1.34766 | + | 0.437880i | 0.891903 | − | 0.452226i | \(-0.149370\pi\) |
0.455753 | + | 0.890106i | \(0.349370\pi\) | |||||||
\(174\) | 10.0729 | 0.763626 | ||||||||
\(175\) | 2.94153 | + | 4.04319i | 0.222359 | + | 0.305637i | ||||
\(176\) | 13.9405 | 1.05081 | ||||||||
\(177\) | −10.9547 | − | 3.55941i | −0.823408 | − | 0.267541i | ||||
\(178\) | −4.94218 | + | 6.80232i | −0.370432 | + | 0.509855i | ||||
\(179\) | −18.1270 | − | 13.1700i | −1.35487 | − | 0.984374i | −0.998753 | − | 0.0499340i | \(-0.984099\pi\) |
−0.356122 | − | 0.934440i | \(-0.615901\pi\) | |||||||
\(180\) | −0.00630574 | − | 19.6120i | −0.000470002 | − | 1.46180i | ||||
\(181\) | −1.85130 | + | 1.34505i | −0.137606 | + | 0.0999769i | −0.654459 | − | 0.756098i | \(-0.727104\pi\) |
0.516853 | + | 0.856074i | \(0.327104\pi\) | |||||||
\(182\) | 11.5616i | 0.857005i | ||||||||
\(183\) | −4.66626 | − | 6.42255i | −0.344940 | − | 0.474769i | ||||
\(184\) | 0.389534 | + | 1.19886i | 0.0287168 | + | 0.0883813i | ||||
\(185\) | −18.1321 | + | 13.1827i | −1.33310 | + | 0.969209i | ||||
\(186\) | −1.73023 | + | 5.32510i | −0.126867 | + | 0.390455i | ||||
\(187\) | 4.02077 | − | 1.30643i | 0.294028 | − | 0.0955355i | ||||
\(188\) | −2.86783 | + | 0.931815i | −0.209158 | + | 0.0679596i | ||||
\(189\) | −2.00408 | + | 6.16793i | −0.145775 | + | 0.448651i | ||||
\(190\) | 22.3453 | − | 16.2458i | 1.62110 | − | 1.17859i | ||||
\(191\) | −3.92233 | − | 12.0717i | −0.283810 | − | 0.873477i | −0.986753 | − | 0.162231i | \(-0.948131\pi\) |
0.702943 | − | 0.711246i | \(-0.251869\pi\) | |||||||
\(192\) | 8.72174 | + | 12.0044i | 0.629437 | + | 0.866346i | ||||
\(193\) | 23.4541i | 1.68826i | 0.536137 | + | 0.844131i | \(0.319883\pi\) | ||||
−0.536137 | + | 0.844131i | \(0.680117\pi\) | |||||||
\(194\) | 15.2193 | − | 11.0575i | 1.09268 | − | 0.793881i | ||||
\(195\) | −0.0124706 | − | 38.7860i | −0.000893040 | − | 2.77752i | ||||
\(196\) | −1.34977 | − | 0.980668i | −0.0964124 | − | 0.0700477i | ||||
\(197\) | −0.902743 | + | 1.24252i | −0.0643178 | + | 0.0885258i | −0.839964 | − | 0.542642i | \(-0.817424\pi\) |
0.775646 | + | 0.631168i | \(0.217424\pi\) | |||||||
\(198\) | −29.3184 | − | 9.52612i | −2.08357 | − | 0.676992i | ||||
\(199\) | 0.533975 | 0.0378525 | 0.0189262 | − | 0.999821i | \(-0.493975\pi\) | ||||
0.0189262 | + | 0.999821i | \(0.493975\pi\) | |||||||
\(200\) | 3.02067 | + | 0.979329i | 0.213594 | + | 0.0692490i | ||||
\(201\) | −22.0981 | −1.55868 | ||||||||
\(202\) | −1.81256 | − | 0.588936i | −0.127531 | − | 0.0414374i | ||||
\(203\) | −1.07578 | + | 1.48069i | −0.0755052 | + | 0.103924i | ||||
\(204\) | 5.35567 | + | 3.89112i | 0.374972 | + | 0.272433i | ||||
\(205\) | 10.4084 | + | 14.3163i | 0.726957 | + | 0.999894i | ||||
\(206\) | −21.0145 | + | 15.2679i | −1.46415 | + | 1.06377i | ||||
\(207\) | − | 10.4342i | − | 0.725229i | ||||||
\(208\) | 16.1554 | + | 22.2360i | 1.12018 | + | 1.54179i | ||||
\(209\) | −6.10307 | − | 18.7833i | −0.422158 | − | 1.29927i | ||||
\(210\) | 9.95848 | + | 7.23037i | 0.687201 | + | 0.498943i | ||||
\(211\) | 0.338743 | − | 1.04254i | 0.0233200 | − | 0.0717716i | −0.938719 | − | 0.344683i | \(-0.887987\pi\) |
0.962039 | + | 0.272911i | \(0.0879865\pi\) | |||||||
\(212\) | 13.5173 | − | 4.39203i | 0.928370 | − | 0.301646i | ||||
\(213\) | −23.6467 | + | 7.68326i | −1.62024 | + | 0.526449i | ||||
\(214\) | −0.106781 | + | 0.328637i | −0.00729938 | + | 0.0224652i | ||||
\(215\) | −3.06265 | − | 9.41558i | −0.208871 | − | 0.642137i | ||||
\(216\) | 1.27278 | + | 3.91720i | 0.0866015 | + | 0.266532i | ||||
\(217\) | −0.597986 | − | 0.823057i | −0.0405939 | − | 0.0558728i | ||||
\(218\) | 15.1580i | 1.02663i | ||||||||
\(219\) | −38.1357 | + | 27.7072i | −2.57697 | + | 1.87228i | ||||
\(220\) | −6.71082 | + | 9.24290i | −0.452443 | + | 0.623156i | ||||
\(221\) | 6.74343 | + | 4.89939i | 0.453612 | + | 0.329568i | ||||
\(222\) | −32.4321 | + | 44.6390i | −2.17670 | + | 2.99597i | ||||
\(223\) | −7.66444 | − | 2.49033i | −0.513249 | − | 0.166765i | 0.0409303 | − | 0.999162i | \(-0.486968\pi\) |
−0.554179 | + | 0.832397i | \(0.686968\pi\) | |||||||
\(224\) | −7.45065 | −0.497818 | ||||||||
\(225\) | −21.2748 | − | 15.4361i | −1.41832 | − | 1.02908i | ||||
\(226\) | 10.2763 | 0.683566 | ||||||||
\(227\) | −0.860985 | − | 0.279751i | −0.0571456 | − | 0.0185677i | 0.280305 | − | 0.959911i | \(-0.409564\pi\) |
−0.337450 | + | 0.941343i | \(0.609564\pi\) | |||||||
\(228\) | 18.1776 | − | 25.0194i | 1.20384 | − | 1.65695i | ||||
\(229\) | −6.10920 | − | 4.43859i | −0.403707 | − | 0.293310i | 0.367342 | − | 0.930086i | \(-0.380268\pi\) |
−0.771049 | + | 0.636775i | \(0.780268\pi\) | |||||||
\(230\) | −8.08541 | − | 2.62423i | −0.533136 | − | 0.173037i | ||||
\(231\) | 7.11751 | − | 5.17117i | 0.468298 | − | 0.340238i | ||||
\(232\) | 1.16237i | 0.0763131i | ||||||||
\(233\) | −6.85136 | − | 9.43009i | −0.448848 | − | 0.617786i | 0.523302 | − | 0.852147i | \(-0.324700\pi\) |
−0.972150 | + | 0.234362i | \(0.924700\pi\) | |||||||
\(234\) | −18.7817 | − | 57.8043i | −1.22780 | − | 3.77878i | ||||
\(235\) | −1.24762 | + | 3.84397i | −0.0813855 | + | 0.250753i | ||||
\(236\) | −2.06667 | + | 6.36056i | −0.134529 | + | 0.414037i | ||||
\(237\) | −1.90513 | + | 0.619014i | −0.123751 | + | 0.0402093i | ||||
\(238\) | −2.51529 | + | 0.817268i | −0.163042 | + | 0.0529756i | ||||
\(239\) | −4.18625 | + | 12.8839i | −0.270786 | + | 0.833393i | 0.719518 | + | 0.694474i | \(0.244363\pi\) |
−0.990304 | + | 0.138919i | \(0.955637\pi\) | |||||||
\(240\) | 29.2559 | − | 0.00940648i | 1.88846 | − | 0.000607186i | ||||
\(241\) | −4.08802 | − | 12.5816i | −0.263333 | − | 0.810454i | −0.992073 | − | 0.125664i | \(-0.959894\pi\) |
0.728740 | − | 0.684790i | \(-0.240106\pi\) | |||||||
\(242\) | −1.83063 | − | 2.51965i | −0.117678 | − | 0.161969i | ||||
\(243\) | 11.2243i | 0.720039i | ||||||||
\(244\) | −3.72908 | + | 2.70933i | −0.238730 | + | 0.173447i | ||||
\(245\) | −2.12640 | + | 0.691667i | −0.135851 | + | 0.0441890i | ||||
\(246\) | 35.2449 | + | 25.6069i | 2.24713 | + | 1.63264i | ||||
\(247\) | 22.8878 | − | 31.5023i | 1.45632 | − | 2.00445i | ||||
\(248\) | −0.614491 | − | 0.199660i | −0.0390202 | − | 0.0126784i | ||||
\(249\) | 18.5409 | 1.17498 | ||||||||
\(250\) | −17.3120 | + | 12.6034i | −1.09491 | + | 0.797111i | ||||
\(251\) | 25.6476 | 1.61887 | 0.809433 | − | 0.587213i | \(-0.199775\pi\) | ||||
0.809433 | + | 0.587213i | \(0.199775\pi\) | |||||||
\(252\) | 8.34150 | + | 2.71032i | 0.525465 | + | 0.170734i | ||||
\(253\) | −3.57195 | + | 4.91637i | −0.224567 | + | 0.309089i | ||||
\(254\) | 3.31434 | + | 2.40801i | 0.207960 | + | 0.151092i | ||||
\(255\) | 8.43721 | − | 2.74441i | 0.528358 | − | 0.171862i | ||||
\(256\) | −16.1198 | + | 11.7117i | −1.00749 | + | 0.731982i | ||||
\(257\) | 6.16031i | 0.384269i | 0.981369 | + | 0.192135i | \(0.0615410\pi\) | ||||
−0.981369 | + | 0.192135i | \(0.938459\pi\) | |||||||
\(258\) | −14.3241 | − | 19.7155i | −0.891782 | − | 1.22743i | ||||
\(259\) | −3.09806 | − | 9.53485i | −0.192504 | − | 0.592467i | ||||
\(260\) | −22.5200 | + | 0.00724072i | −1.39663 | + | 0.000449050i | ||||
\(261\) | 2.97319 | − | 9.15054i | 0.184036 | − | 0.566404i | ||||
\(262\) | 23.8444 | − | 7.74752i | 1.47311 | − | 0.478643i | ||||
\(263\) | −1.37598 | + | 0.447083i | −0.0848466 | + | 0.0275683i | −0.351133 | − | 0.936326i | \(-0.614203\pi\) |
0.266286 | + | 0.963894i | \(0.414203\pi\) | |||||||
\(264\) | 1.72659 | − | 5.31390i | 0.106264 | − | 0.327048i | ||||
\(265\) | 5.88053 | − | 18.1182i | 0.361238 | − | 1.11299i | ||||
\(266\) | 3.81792 | + | 11.7503i | 0.234092 | + | 0.720460i | ||||
\(267\) | 7.41462 | + | 10.2054i | 0.453767 | + | 0.624557i | ||||
\(268\) | 12.8306i | 0.783755i | ||||||||
\(269\) | −2.81792 | + | 2.04734i | −0.171812 | + | 0.124829i | −0.670368 | − | 0.742029i | \(-0.733864\pi\) |
0.498556 | + | 0.866857i | \(0.333864\pi\) | |||||||
\(270\) | −26.4185 | − | 8.57451i | −1.60778 | − | 0.521828i | ||||
\(271\) | −18.7911 | − | 13.6525i | −1.14148 | − | 0.829332i | −0.154154 | − | 0.988047i | \(-0.549265\pi\) |
−0.987325 | + | 0.158715i | \(0.949265\pi\) | |||||||
\(272\) | −3.69556 | + | 5.08651i | −0.224076 | + | 0.308415i | ||||
\(273\) | 16.4967 | + | 5.36009i | 0.998424 | + | 0.324408i | ||||
\(274\) | −16.0839 | −0.971665 | ||||||||
\(275\) | 4.73992 | + | 14.5561i | 0.285828 | + | 0.877768i | ||||
\(276\) | −9.51568 | −0.572776 | ||||||||
\(277\) | 21.1048 | + | 6.85737i | 1.26807 | + | 0.412019i | 0.864362 | − | 0.502871i | \(-0.167723\pi\) |
0.403703 | + | 0.914890i | \(0.367723\pi\) | |||||||
\(278\) | 26.1949 | − | 36.0542i | 1.57107 | − | 2.16239i | ||||
\(279\) | 4.32678 | + | 3.14359i | 0.259037 | + | 0.188202i | ||||
\(280\) | −0.834350 | + | 1.14916i | −0.0498620 | + | 0.0686755i | ||||
\(281\) | −14.0470 | + | 10.2058i | −0.837975 | + | 0.608824i | −0.921804 | − | 0.387656i | \(-0.873285\pi\) |
0.0838293 | + | 0.996480i | \(0.473285\pi\) | |||||||
\(282\) | 9.94701i | 0.592336i | ||||||||
\(283\) | 9.54494 | + | 13.1375i | 0.567388 | + | 0.780943i | 0.992242 | − | 0.124319i | \(-0.0396747\pi\) |
−0.424854 | + | 0.905262i | \(0.639675\pi\) | |||||||
\(284\) | 4.46107 | + | 13.7298i | 0.264716 | + | 0.814712i | ||||
\(285\) | −12.8207 | − | 39.4150i | −0.759433 | − | 2.33474i | ||||
\(286\) | −10.9386 | + | 33.6656i | −0.646813 | + | 1.99069i | ||||
\(287\) | −7.52829 | + | 2.44609i | −0.444381 | + | 0.144388i | ||||
\(288\) | 37.2507 | − | 12.1035i | 2.19502 | − | 0.713205i | ||||
\(289\) | 4.66408 | − | 14.3546i | 0.274358 | − | 0.844386i | ||||
\(290\) | −6.34292 | − | 4.60529i | −0.372469 | − | 0.270432i | ||||
\(291\) | −8.72149 | − | 26.8420i | −0.511263 | − | 1.57351i | ||||
\(292\) | 16.0874 | + | 22.1424i | 0.941444 | + | 1.29579i | ||||
\(293\) | − | 15.2633i | − | 0.891693i | −0.895109 | − | 0.445846i | \(-0.852903\pi\) | ||
0.895109 | − | 0.445846i | \(-0.147097\pi\) | |||||||
\(294\) | −4.45253 | + | 3.23495i | −0.259677 | + | 0.188666i | ||||
\(295\) | 5.27085 | + | 7.24981i | 0.306881 | + | 0.422100i | ||||
\(296\) | −5.15112 | − | 3.74251i | −0.299403 | − | 0.217529i | ||||
\(297\) | −11.6711 | + | 16.0639i | −0.677226 | + | 0.932122i | ||||
\(298\) | −26.6826 | − | 8.66971i | −1.54568 | − | 0.502223i | ||||
\(299\) | −11.9814 | −0.692900 | ||||||||
\(300\) | −14.0772 | + | 19.4019i | −0.812750 | + | 1.12017i | ||||
\(301\) | 4.42793 | 0.255222 | ||||||||
\(302\) | −8.78301 | − | 2.85377i | −0.505405 | − | 0.164216i | ||||
\(303\) | −1.68064 | + | 2.31320i | −0.0965503 | + | 0.132890i | ||||
\(304\) | 23.7619 | + | 17.2641i | 1.36284 | + | 0.990162i | ||||
\(305\) | 0.00198627 | + | 6.17768i | 0.000113734 | + | 0.353733i | ||||
\(306\) | 11.2480 | − | 8.17212i | 0.643003 | − | 0.467169i | ||||
\(307\) | − | 0.729338i | − | 0.0416255i | −0.999783 | − | 0.0208127i | \(-0.993375\pi\) | ||
0.999783 | − | 0.0208127i | \(-0.00662538\pi\) | |||||||
\(308\) | −3.00250 | − | 4.13258i | −0.171083 | − | 0.235476i | ||||
\(309\) | 12.0425 | + | 37.0629i | 0.685071 | + | 2.10843i | ||||
\(310\) | 3.52414 | − | 2.56217i | 0.200158 | − | 0.145521i | ||||
\(311\) | −3.66283 | + | 11.2730i | −0.207700 | + | 0.639236i | 0.791891 | + | 0.610662i | \(0.209097\pi\) |
−0.999592 | + | 0.0285737i | \(0.990903\pi\) | |||||||
\(312\) | 10.4769 | − | 3.40415i | 0.593138 | − | 0.192722i | ||||
\(313\) | −19.7141 | + | 6.40551i | −1.11431 | + | 0.362061i | −0.807593 | − | 0.589741i | \(-0.799230\pi\) |
−0.306715 | + | 0.951801i | \(0.599230\pi\) | |||||||
\(314\) | 1.65319 | − | 5.08799i | 0.0932949 | − | 0.287132i | ||||
\(315\) | 9.50770 | − | 6.91242i | 0.535698 | − | 0.389471i | ||||
\(316\) | 0.359413 | + | 1.10616i | 0.0202186 | + | 0.0622264i | ||||
\(317\) | 16.0008 | + | 22.0232i | 0.898694 | + | 1.23695i | 0.970883 | + | 0.239555i | \(0.0770014\pi\) |
−0.0721893 | + | 0.997391i | \(0.522999\pi\) | |||||||
\(318\) | − | 46.8844i | − | 2.62915i | ||||||
\(319\) | −4.53340 | + | 3.29371i | −0.253822 | + | 0.184412i | ||||
\(320\) | −0.00371255 | − | 11.5467i | −0.000207538 | − | 0.645482i | ||||
\(321\) | 0.419410 | + | 0.304719i | 0.0234092 | + | 0.0170078i | ||||
\(322\) | 2.23452 | − | 3.07555i | 0.124525 | − | 0.171394i | ||||
\(323\) | 8.47138 | + | 2.75252i | 0.471360 | + | 0.153154i | ||||
\(324\) | −4.77952 | −0.265529 | ||||||||
\(325\) | −17.7249 | + | 24.4293i | −0.983201 | + | 1.35509i | ||||
\(326\) | −1.06277 | −0.0588616 | ||||||||
\(327\) | 21.6281 | + | 7.02740i | 1.19604 | + | 0.388616i | ||||
\(328\) | −2.95492 | + | 4.06710i | −0.163158 | + | 0.224568i | ||||
\(329\) | −1.46218 | − | 1.06234i | −0.0806127 | − | 0.0585685i | ||||
\(330\) | 22.1567 | + | 30.4755i | 1.21969 | + | 1.67762i | ||||
\(331\) | 14.7484 | − | 10.7154i | 0.810648 | − | 0.588970i | −0.103370 | − | 0.994643i | \(-0.532963\pi\) |
0.914018 | + | 0.405673i | \(0.132963\pi\) | |||||||
\(332\) | − | 10.7653i | − | 0.590822i | ||||||
\(333\) | 30.9785 | + | 42.6383i | 1.69761 | + | 2.33656i | ||||
\(334\) | −9.59583 | − | 29.5329i | −0.525061 | − | 1.61597i | ||||
\(335\) | 13.9152 | + | 10.1031i | 0.760266 | + | 0.551992i | ||||
\(336\) | −4.04307 | + | 12.4433i | −0.220568 | + | 0.678837i | ||||
\(337\) | −17.8721 | + | 5.80701i | −0.973557 | + | 0.316328i | −0.752251 | − | 0.658877i | \(-0.771032\pi\) |
−0.221306 | + | 0.975204i | \(0.571032\pi\) | |||||||
\(338\) | −42.6948 | + | 13.8724i | −2.32229 | + | 0.754558i | ||||
\(339\) | 4.76418 | − | 14.6626i | 0.258755 | − | 0.796365i | ||||
\(340\) | −1.59347 | − | 4.89883i | −0.0864179 | − | 0.265676i | ||||
\(341\) | −0.962532 | − | 2.96237i | −0.0521241 | − | 0.160421i | ||||
\(342\) | −38.1766 | − | 52.5456i | −2.06435 | − | 2.84134i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 2.27507 | − | 1.65294i | 0.122664 | − | 0.0891204i | ||||
\(345\) | −7.49286 | + | 10.3200i | −0.403402 | + | 0.555611i | ||||
\(346\) | −28.8797 | − | 20.9823i | −1.55258 | − | 1.12802i | ||||
\(347\) | −5.80332 | + | 7.98758i | −0.311538 | + | 0.428796i | −0.935860 | − | 0.352371i | \(-0.885375\pi\) |
0.624322 | + | 0.781167i | \(0.285375\pi\) | |||||||
\(348\) | −8.34499 | − | 2.71145i | −0.447339 | − | 0.145349i | ||||
\(349\) | −29.2500 | −1.56572 | −0.782859 | − | 0.622200i | \(-0.786239\pi\) | ||||
−0.782859 | + | 0.622200i | \(0.786239\pi\) | |||||||
\(350\) | −2.96517 | − | 9.10594i | −0.158495 | − | 0.486733i | ||||
\(351\) | −39.1483 | −2.08958 | ||||||||
\(352\) | −21.6951 | − | 7.04916i | −1.15635 | − | 0.375721i | ||||
\(353\) | −5.47888 | + | 7.54103i | −0.291611 | + | 0.401369i | −0.929537 | − | 0.368730i | \(-0.879793\pi\) |
0.637925 | + | 0.770098i | \(0.279793\pi\) | |||||||
\(354\) | 17.8481 | + | 12.9674i | 0.948616 | + | 0.689210i | ||||
\(355\) | 18.4031 | + | 5.97298i | 0.976733 | + | 0.317013i | ||||
\(356\) | 5.92545 | − | 4.30509i | 0.314048 | − | 0.228169i | ||||
\(357\) | 3.96783i | 0.210000i | ||||||||
\(358\) | 25.2247 | + | 34.7188i | 1.33317 | + | 1.83494i | ||||
\(359\) | −0.500419 | − | 1.54013i | −0.0264111 | − | 0.0812850i | 0.936982 | − | 0.349377i | \(-0.113607\pi\) |
−0.963393 | + | 0.268092i | \(0.913607\pi\) | |||||||
\(360\) | 2.30467 | − | 7.10081i | 0.121467 | − | 0.374245i | ||||
\(361\) | 6.98725 | − | 21.5045i | 0.367750 | − | 1.13182i | ||||
\(362\) | 4.16836 | − | 1.35438i | 0.219084 | − | 0.0711848i | ||||
\(363\) | −4.44385 | + | 1.44390i | −0.233242 | + | 0.0757848i | ||||
\(364\) | 3.11219 | − | 9.57833i | 0.163123 | − | 0.502041i | ||||
\(365\) | 36.6817 | − | 0.0117940i | 1.92001 | − | 0.000617328i | ||||
\(366\) | 4.69863 | + | 14.4609i | 0.245602 | + | 0.755884i | ||||
\(367\) | −18.5299 | − | 25.5042i | −0.967251 | − | 1.33131i | −0.943423 | − | 0.331591i | \(-0.892415\pi\) |
−0.0238277 | − | 0.999716i | \(-0.507585\pi\) | |||||||
\(368\) | − | 9.03744i | − | 0.471109i | ||||||
\(369\) | 33.6652 | − | 24.4592i | 1.75254 | − | 1.27330i | ||||
\(370\) | 40.8312 | − | 13.2814i | 2.12272 | − | 0.690467i | ||||
\(371\) | 6.89187 | + | 5.00723i | 0.357808 | + | 0.259963i | ||||
\(372\) | 2.86685 | − | 3.94588i | 0.148639 | − | 0.204584i | ||||
\(373\) | 16.0475 | + | 5.21416i | 0.830909 | + | 0.269979i | 0.693428 | − | 0.720526i | \(-0.256099\pi\) |
0.137481 | + | 0.990504i | \(0.456099\pi\) | |||||||
\(374\) | −8.09734 | −0.418704 | ||||||||
\(375\) | 9.95714 | + | 30.5446i | 0.514184 | + | 1.57732i | ||||
\(376\) | −1.14784 | −0.0591952 | ||||||||
\(377\) | −10.5073 | − | 3.41404i | −0.541155 | − | 0.175832i | ||||
\(378\) | 7.30114 | − | 10.0492i | 0.375530 | − | 0.516873i | ||||
\(379\) | −8.12046 | − | 5.89986i | −0.417120 | − | 0.303055i | 0.359358 | − | 0.933200i | \(-0.382996\pi\) |
−0.776478 | + | 0.630144i | \(0.782996\pi\) | |||||||
\(380\) | −22.8852 | + | 7.44399i | −1.17399 | + | 0.381868i | ||||
\(381\) | 4.97241 | − | 3.61267i | 0.254744 | − | 0.185083i | ||||
\(382\) | 24.3109i | 1.24385i | ||||||||
\(383\) | −6.09431 | − | 8.38809i | −0.311404 | − | 0.428611i | 0.624414 | − | 0.781093i | \(-0.285338\pi\) |
−0.935819 | + | 0.352482i | \(0.885338\pi\) | |||||||
\(384\) | 4.44948 | + | 13.6941i | 0.227061 | + | 0.698823i | ||||
\(385\) | −6.84614 | + | 0.00220120i | −0.348911 | + | 0.000112183i | ||||
\(386\) | 13.8816 | − | 42.7232i | 0.706556 | − | 2.17455i | ||||
\(387\) | −22.1382 | + | 7.19312i | −1.12535 | + | 0.365647i | ||||
\(388\) | −15.5851 | + | 5.06389i | −0.791211 | + | 0.257080i | ||||
\(389\) | 3.22016 | − | 9.91064i | 0.163269 | − | 0.502489i | −0.835636 | − | 0.549284i | \(-0.814901\pi\) |
0.998905 | + | 0.0467945i | \(0.0149006\pi\) | |||||||
\(390\) | −22.9333 | + | 70.6587i | −1.16127 | + | 3.57794i | ||||
\(391\) | −0.846938 | − | 2.60661i | −0.0428315 | − | 0.131822i | ||||
\(392\) | −0.373298 | − | 0.513801i | −0.0188544 | − | 0.0259508i | ||||
\(393\) | − | 37.6141i | − | 1.89738i | ||||||
\(394\) | 2.37981 | − | 1.72903i | 0.119893 | − | 0.0871074i | ||||
\(395\) | 1.48267 | + | 0.481222i | 0.0746013 | + | 0.0242129i | ||||
\(396\) | 21.7248 | + | 15.7840i | 1.09171 | + | 0.793176i | ||||
\(397\) | 18.9238 | − | 26.0464i | 0.949760 | − | 1.30723i | −0.00187340 | − | 0.999998i | \(-0.500596\pi\) |
0.951634 | − | 0.307235i | \(-0.0994037\pi\) | |||||||
\(398\) | −0.972671 | − | 0.316040i | −0.0487556 | − | 0.0158417i | ||||
\(399\) | 18.5360 | 0.927959 | ||||||||
\(400\) | −18.4268 | − | 13.3697i | −0.921339 | − | 0.668487i | ||||
\(401\) | −10.4221 | −0.520453 | −0.260226 | − | 0.965548i | \(-0.583797\pi\) | ||||
−0.260226 | + | 0.965548i | \(0.583797\pi\) | |||||||
\(402\) | 40.2531 | + | 13.0790i | 2.00764 | + | 0.652323i | ||||
\(403\) | 3.60970 | − | 4.96833i | 0.179812 | − | 0.247490i | ||||
\(404\) | 1.34310 | + | 0.975818i | 0.0668216 | + | 0.0485487i | ||||
\(405\) | −3.76350 | + | 5.18352i | −0.187010 | + | 0.257571i | ||||
\(406\) | 2.83598 | − | 2.06046i | 0.140747 | − | 0.102259i | ||||
\(407\) | − | 30.6950i | − | 1.52150i | ||||||
\(408\) | 1.48118 | + | 2.03867i | 0.0733294 | + | 0.100929i | ||||
\(409\) | −9.59710 | − | 29.5368i | −0.474546 | − | 1.46050i | −0.846569 | − | 0.532279i | \(-0.821336\pi\) |
0.372023 | − | 0.928223i | \(-0.378664\pi\) | |||||||
\(410\) | −10.4864 | − | 32.2385i | −0.517886 | − | 1.59215i | ||||
\(411\) | −7.45667 | + | 22.9493i | −0.367810 | + | 1.13200i | ||||
\(412\) | 21.5195 | − | 6.99212i | 1.06019 | − | 0.344477i | ||||
\(413\) | −3.81234 | + | 1.23870i | −0.187593 | + | 0.0609526i | ||||
\(414\) | −6.17564 | + | 19.0067i | −0.303516 | + | 0.934127i | ||||
\(415\) | −11.6752 | − | 8.47683i | −0.573115 | − | 0.416111i | ||||
\(416\) | −13.8981 | − | 42.7741i | −0.681412 | − | 2.09717i | ||||
\(417\) | −39.2996 | − | 54.0913i | −1.92451 | − | 2.64886i | ||||
\(418\) | 37.8272i | 1.85019i | ||||||||
\(419\) | 11.0249 | − | 8.01005i | 0.538601 | − | 0.391316i | −0.284964 | − | 0.958538i | \(-0.591982\pi\) |
0.823565 | + | 0.567222i | \(0.191982\pi\) | |||||||
\(420\) | −6.30390 | − | 8.67071i | −0.307599 | − | 0.423087i | ||||
\(421\) | 16.6608 | + | 12.1048i | 0.811997 | + | 0.589950i | 0.914409 | − | 0.404792i | \(-0.132656\pi\) |
−0.102412 | + | 0.994742i | \(0.532656\pi\) | |||||||
\(422\) | −1.23409 | + | 1.69857i | −0.0600744 | + | 0.0826853i | ||||
\(423\) | 9.03617 | + | 2.93603i | 0.439353 | + | 0.142755i | ||||
\(424\) | 5.41023 | 0.262744 | ||||||||
\(425\) | −6.56765 | − | 2.12929i | −0.318578 | − | 0.103286i | ||||
\(426\) | 47.6214 | 2.30727 | ||||||||
\(427\) | −2.62752 | − | 0.853734i | −0.127155 | − | 0.0413151i | ||||
\(428\) | 0.176927 | − | 0.243519i | 0.00855208 | − | 0.0117709i | ||||
\(429\) | 42.9643 | + | 31.2154i | 2.07434 | + | 1.50709i | ||||
\(430\) | 0.00609731 | + | 18.9638i | 0.000294038 | + | 0.914515i | ||||
\(431\) | 1.12535 | − | 0.817613i | 0.0542061 | − | 0.0393830i | −0.560352 | − | 0.828254i | \(-0.689334\pi\) |
0.614558 | + | 0.788871i | \(0.289334\pi\) | |||||||
\(432\) | − | 29.5292i | − | 1.42072i | ||||||
\(433\) | 4.15304 | + | 5.71617i | 0.199582 | + | 0.274702i | 0.897064 | − | 0.441902i | \(-0.145696\pi\) |
−0.697481 | + | 0.716603i | \(0.745696\pi\) | |||||||
\(434\) | 0.602135 | + | 1.85318i | 0.0289034 | + | 0.0889555i | ||||
\(435\) | −9.51168 | + | 6.91531i | −0.456050 | + | 0.331564i | ||||
\(436\) | 4.08027 | − | 12.5578i | 0.195409 | − | 0.601408i | ||||
\(437\) | −12.1769 | + | 3.95652i | −0.582501 | + | 0.189266i | ||||
\(438\) | 85.8656 | − | 27.8994i | 4.10282 | − | 1.33309i | ||||
\(439\) | −5.73054 | + | 17.6368i | −0.273504 | + | 0.841758i | 0.716108 | + | 0.697990i | \(0.245922\pi\) |
−0.989611 | + | 0.143768i | \(0.954078\pi\) | |||||||
\(440\) | −3.51673 | + | 2.55678i | −0.167653 | + | 0.121890i | ||||
\(441\) | 1.62449 | + | 4.99966i | 0.0773566 | + | 0.238079i | ||||
\(442\) | −9.38384 | − | 12.9158i | −0.446344 | − | 0.614340i | ||||
\(443\) | 29.7479i | 1.41337i | 0.707530 | + | 0.706683i | \(0.249809\pi\) | ||||
−0.707530 | + | 0.706683i | \(0.750191\pi\) | |||||||
\(444\) | 38.8847 | − | 28.2514i | 1.84539 | − | 1.34075i | ||||
\(445\) | −0.00315616 | − | 9.81624i | −0.000149616 | − | 0.465335i | ||||
\(446\) | 12.4874 | + | 9.07261i | 0.591294 | + | 0.429600i | ||||
\(447\) | −24.7407 | + | 34.0526i | −1.17019 | + | 1.61063i | ||||
\(448\) | 4.91112 | + | 1.59572i | 0.232029 | + | 0.0753907i | ||||
\(449\) | 17.2909 | 0.816006 | 0.408003 | − | 0.912981i | \(-0.366225\pi\) | ||||
0.408003 | + | 0.912981i | \(0.366225\pi\) | |||||||
\(450\) | 29.6173 | + | 40.7097i | 1.39618 | + | 1.91907i | ||||
\(451\) | −24.2354 | −1.14120 | ||||||||
\(452\) | −8.51345 | − | 2.76619i | −0.400439 | − | 0.130111i | ||||
\(453\) | −8.14379 | + | 11.2090i | −0.382629 | + | 0.526643i | ||||
\(454\) | 1.40277 | + | 1.01917i | 0.0658352 | + | 0.0478321i | ||||
\(455\) | −7.93736 | − | 10.9175i | −0.372109 | − | 0.511818i | ||||
\(456\) | 9.52379 | − | 6.91944i | 0.445992 | − | 0.324032i | ||||
\(457\) | − | 20.4059i | − | 0.954550i | −0.878754 | − | 0.477275i | \(-0.841625\pi\) | ||
0.878754 | − | 0.477275i | \(-0.158375\pi\) | |||||||
\(458\) | 8.50128 | + | 11.7010i | 0.397239 | + | 0.546752i | ||||
\(459\) | −2.76731 | − | 8.51691i | −0.129167 | − | 0.397535i | ||||
\(460\) | 5.99203 | + | 4.35052i | 0.279380 | + | 0.202844i | ||||
\(461\) | −2.25553 | + | 6.94180i | −0.105050 | + | 0.323312i | −0.989742 | − | 0.142864i | \(-0.954369\pi\) |
0.884692 | + | 0.466176i | \(0.154369\pi\) | |||||||
\(462\) | −16.0257 | + | 5.20705i | −0.745581 | + | 0.242254i | ||||
\(463\) | 10.5372 | − | 3.42376i | 0.489707 | − | 0.159116i | −0.0537464 | − | 0.998555i | \(-0.517116\pi\) |
0.543454 | + | 0.839439i | \(0.317116\pi\) | |||||||
\(464\) | 2.57518 | − | 7.92559i | 0.119550 | − | 0.367936i | ||||
\(465\) | −2.02199 | − | 6.21625i | −0.0937676 | − | 0.288272i | ||||
\(466\) | 6.89890 | + | 21.2326i | 0.319585 | + | 0.983582i | ||||
\(467\) | −21.4021 | − | 29.4575i | −0.990373 | − | 1.36313i | −0.931050 | − | 0.364893i | \(-0.881106\pi\) |
−0.0593237 | − | 0.998239i | \(-0.518894\pi\) | |||||||
\(468\) | 52.9441i | 2.44734i | ||||||||
\(469\) | −6.22159 | + | 4.52025i | −0.287287 | + | 0.208726i | ||||
\(470\) | 4.54772 | − | 6.26364i | 0.209771 | − | 0.288920i | ||||
\(471\) | −6.49335 | − | 4.71769i | −0.299198 | − | 0.217380i | ||||
\(472\) | −1.49638 | + | 2.05959i | −0.0688763 | + | 0.0948001i | ||||
\(473\) | 12.8934 | + | 4.18932i | 0.592840 | + | 0.192625i | ||||
\(474\) | 3.83669 | 0.176225 | ||||||||
\(475\) | −9.94711 | + | 30.6812i | −0.456405 | + | 1.40775i | ||||
\(476\) | 2.30381 | 0.105595 | ||||||||
\(477\) | −42.5912 | − | 13.8387i | −1.95012 | − | 0.633631i | ||||
\(478\) | 15.2511 | − | 20.9913i | 0.697568 | − | 0.960120i | ||||
\(479\) | 9.22180 | + | 6.70003i | 0.421355 | + | 0.306132i | 0.778183 | − | 0.628038i | \(-0.216142\pi\) |
−0.356828 | + | 0.934170i | \(0.616142\pi\) | |||||||
\(480\) | −45.5345 | − | 14.7789i | −2.07836 | − | 0.674561i | ||||
\(481\) | 48.9604 | − | 35.5718i | 2.23240 | − | 1.62194i | ||||
\(482\) | 25.3379i | 1.15411i | ||||||||
\(483\) | −3.35239 | − | 4.61417i | −0.152539 | − | 0.209952i | ||||
\(484\) | 0.838357 | + | 2.58020i | 0.0381072 | + | 0.117282i | ||||
\(485\) | −6.78010 | + | 20.8898i | −0.307868 | + | 0.948559i | ||||
\(486\) | 6.64325 | − | 20.4458i | 0.301344 | − | 0.927442i | ||||
\(487\) | −30.3077 | + | 9.84756i | −1.37337 | + | 0.446235i | −0.900485 | − | 0.434888i | \(-0.856788\pi\) |
−0.472887 | + | 0.881123i | \(0.656788\pi\) | |||||||
\(488\) | −1.66872 | + | 0.542200i | −0.0755394 | + | 0.0245442i | ||||
\(489\) | −0.492713 | + | 1.51641i | −0.0222813 | + | 0.0685747i | ||||
\(490\) | 4.28276 | − | 0.00137701i | 0.193476 | − | 6.22070e-5i | ||||
\(491\) | −0.747941 | − | 2.30193i | −0.0337541 | − | 0.103884i | 0.932760 | − | 0.360498i | \(-0.117393\pi\) |
−0.966514 | + | 0.256614i | \(0.917393\pi\) | |||||||
\(492\) | −22.3060 | − | 30.7016i | −1.00563 | − | 1.38414i | ||||
\(493\) | − | 2.52725i | − | 0.113822i | ||||||
\(494\) | −60.3368 | + | 43.8372i | −2.71468 | + | 1.97233i | ||||
\(495\) | 34.2248 | − | 11.1325i | 1.53829 | − | 0.500367i | ||||
\(496\) | 3.74757 | + | 2.72277i | 0.168271 | + | 0.122256i | ||||
\(497\) | −5.08595 | + | 7.00021i | −0.228136 | + | 0.314002i | ||||
\(498\) | −33.7736 | − | 10.9737i | −1.51343 | − | 0.491743i | ||||
\(499\) | −18.2352 | −0.816318 | −0.408159 | − | 0.912911i | \(-0.633829\pi\) | ||||
−0.408159 | + | 0.912911i | \(0.633829\pi\) | |||||||
\(500\) | 17.7349 | − | 5.78133i | 0.793128 | − | 0.258549i | ||||
\(501\) | −46.5877 | −2.08138 | ||||||||
\(502\) | −46.7189 | − | 15.1799i | −2.08517 | − | 0.677512i | ||||
\(503\) | 6.52204 | − | 8.97682i | 0.290803 | − | 0.400257i | −0.638471 | − | 0.769646i | \(-0.720433\pi\) |
0.929275 | + | 0.369389i | \(0.120433\pi\) | |||||||
\(504\) | 2.70103 | + | 1.96241i | 0.120313 | + | 0.0874127i | ||||
\(505\) | 2.11589 | − | 0.688245i | 0.0941557 | − | 0.0306265i | ||||
\(506\) | 9.41637 | − | 6.84139i | 0.418609 | − | 0.304137i | ||||
\(507\) | 67.3503i | 2.99113i | ||||||||
\(508\) | −2.09760 | − | 2.88709i | −0.0930658 | − | 0.128094i | ||||
\(509\) | 10.7784 | + | 33.1724i | 0.477743 | + | 1.47034i | 0.842222 | + | 0.539131i | \(0.181247\pi\) |
−0.364479 | + | 0.931212i | \(0.618753\pi\) | |||||||
\(510\) | −16.9933 | + | 0.00546374i | −0.752475 | + | 0.000241939i | ||||
\(511\) | −5.06928 | + | 15.6016i | −0.224252 | + | 0.690176i | ||||
\(512\) | 26.7637 | − | 8.69606i | 1.18280 | − | 0.384315i | ||||
\(513\) | −39.7873 | + | 12.9277i | −1.75665 | + | 0.570771i | ||||
\(514\) | 3.64606 | − | 11.2214i | 0.160821 | − | 0.494956i | ||||
\(515\) | 9.36182 | − | 28.8443i | 0.412531 | − | 1.27103i | ||||
\(516\) | 6.55989 | + | 20.1893i | 0.288783 | + | 0.888783i | ||||
\(517\) | −3.25254 | − | 4.47674i | −0.143047 | − | 0.196887i | ||||
\(518\) | 19.2020i | 0.843688i | ||||||||
\(519\) | −43.3275 | + | 31.4793i | −1.90187 | + | 1.38179i | ||||
\(520\) | −8.15368 | − | 2.64639i | −0.357563 | − | 0.116052i | ||||
\(521\) | 14.0879 | + | 10.2355i | 0.617203 | + | 0.448424i | 0.851943 | − | 0.523634i | \(-0.175424\pi\) |
−0.234741 | + | 0.972058i | \(0.575424\pi\) | |||||||
\(522\) | −10.8317 | + | 14.9086i | −0.474092 | + | 0.652532i | ||||
\(523\) | −38.6107 | − | 12.5454i | −1.68833 | − | 0.548571i | −0.701829 | − | 0.712345i | \(-0.747633\pi\) |
−0.986498 | + | 0.163775i | \(0.947633\pi\) | |||||||
\(524\) | −21.8396 | −0.954067 | ||||||||
\(525\) | −14.3675 | + | 0.00923896i | −0.627047 | + | 0.000403221i | ||||
\(526\) | 2.77105 | 0.120824 | ||||||||
\(527\) | 1.33605 | + | 0.434108i | 0.0581991 | + | 0.0189100i | ||||
\(528\) | −23.5455 | + | 32.4076i | −1.02469 | + | 1.41036i | ||||
\(529\) | −15.4202 | − | 11.2034i | −0.670443 | − | 0.487105i | ||||
\(530\) | −21.4353 | + | 29.5231i | −0.931090 | + | 1.28240i | ||||
\(531\) | 17.0481 | − | 12.3862i | 0.739826 | − | 0.537515i | ||||
\(532\) | − | 10.7624i | − | 0.466609i | ||||||
\(533\) | −28.0859 | − | 38.6570i | −1.21654 | − | 1.67442i | ||||
\(534\) | −7.46606 | − | 22.9782i | −0.323088 | − | 0.994363i | ||||
\(535\) | −0.124787 | − | 0.383634i | −0.00539500 | − | 0.0165860i | ||||
\(536\) | −1.50926 | + | 4.64502i | −0.0651900 | + | 0.200634i | ||||
\(537\) | 61.2328 | − | 19.8957i | 2.64239 | − | 0.858565i | ||||
\(538\) | 6.34479 | − | 2.06155i | 0.273543 | − | 0.0888796i | ||||
\(539\) | 0.946113 | − | 2.91184i | 0.0407520 | − | 0.125422i | ||||
\(540\) | 19.5785 | + | 14.2150i | 0.842526 | + | 0.611717i | ||||
\(541\) | 7.56376 | + | 23.2789i | 0.325192 | + | 1.00084i | 0.971354 | + | 0.237637i | \(0.0763729\pi\) |
−0.646162 | + | 0.763200i | \(0.723627\pi\) | |||||||
\(542\) | 26.1488 | + | 35.9908i | 1.12319 | + | 1.54594i | ||||
\(543\) | − | 6.57552i | − | 0.282183i | ||||||
\(544\) | 8.32329 | − | 6.04722i | 0.356858 | − | 0.259272i | ||||
\(545\) | −10.4063 | − | 14.3134i | −0.445759 | − | 0.613120i | ||||
\(546\) | −26.8774 | − | 19.5276i | −1.15025 | − | 0.835702i | ||||
\(547\) | −14.9219 | + | 20.5382i | −0.638013 | + | 0.878149i | −0.998508 | − | 0.0546121i | \(-0.982608\pi\) |
0.360495 | + | 0.932761i | \(0.382608\pi\) | |||||||
\(548\) | 13.3249 | + | 4.32951i | 0.569209 | + | 0.184947i | ||||
\(549\) | 14.5236 | 0.619852 | ||||||||
\(550\) | −0.0188544 | − | 29.3204i | −0.000803954 | − | 1.25022i | ||||
\(551\) | −11.8062 | −0.502962 | ||||||||
\(552\) | −3.44492 | − | 1.11932i | −0.146626 | − | 0.0476415i | ||||
\(553\) | −0.409757 | + | 0.563983i | −0.0174247 | + | 0.0239830i | ||||
\(554\) | −34.3852 | − | 24.9823i | −1.46089 | − | 1.06140i | ||||
\(555\) | −0.0207117 | − | 64.4173i | −0.000879163 | − | 2.73436i | ||||
\(556\) | −31.4066 | + | 22.8182i | −1.33194 | + | 0.967708i | ||||
\(557\) | 25.6992i | 1.08891i | 0.838790 | + | 0.544454i | \(0.183263\pi\) | ||||
−0.838790 | + | 0.544454i | \(0.816737\pi\) | |||||||
\(558\) | −6.02094 | − | 8.28712i | −0.254887 | − | 0.350822i | ||||
\(559\) | 8.25968 | + | 25.4207i | 0.349347 | + | 1.07518i | ||||
\(560\) | 8.23494 | − | 5.98708i | 0.347990 | − | 0.253000i | ||||
\(561\) | −3.75401 | + | 11.5537i | −0.158495 | + | 0.487796i | ||||
\(562\) | 31.6280 | − | 10.2766i | 1.33415 | − | 0.433491i | ||||
\(563\) | 29.2918 | − | 9.51747i | 1.23450 | − | 0.401114i | 0.382158 | − | 0.924097i | \(-0.375181\pi\) |
0.852343 | + | 0.522983i | \(0.175181\pi\) | |||||||
\(564\) | 2.67756 | − | 8.24069i | 0.112746 | − | 0.346995i | ||||
\(565\) | −9.70369 | + | 7.05491i | −0.408237 | + | 0.296802i | ||||
\(566\) | −9.61117 | − | 29.5801i | −0.403987 | − | 1.24335i | ||||
\(567\) | −1.68383 | − | 2.31760i | −0.0707144 | − | 0.0973300i | ||||
\(568\) | 5.49529i | 0.230577i | ||||||||
\(569\) | 23.4426 | − | 17.0321i | 0.982765 | − | 0.714021i | 0.0244405 | − | 0.999701i | \(-0.492220\pi\) |
0.958325 | + | 0.285680i | \(0.0922196\pi\) | |||||||
\(570\) | 0.0255242 | + | 79.3851i | 0.00106909 | + | 3.32508i | ||||
\(571\) | −2.85552 | − | 2.07466i | −0.119500 | − | 0.0868217i | 0.526430 | − | 0.850218i | \(-0.323530\pi\) |
−0.645930 | + | 0.763397i | \(0.723530\pi\) | |||||||
\(572\) | 18.1244 | − | 24.9460i | 0.757818 | − | 1.04305i | ||||
\(573\) | 34.6879 | + | 11.2708i | 1.44911 | + | 0.470844i | ||||
\(574\) | 15.1610 | 0.632810 | ||||||||
\(575\) | 9.43652 | − | 3.07282i | 0.393530 | − | 0.128145i | ||||
\(576\) | −27.1462 | −1.13109 | ||||||||
\(577\) | 38.6516 | + | 12.5587i | 1.60909 | + | 0.522824i | 0.969332 | − | 0.245756i | \(-0.0790363\pi\) |
0.639754 | + | 0.768580i | \(0.279036\pi\) | |||||||
\(578\) | −16.9919 | + | 23.3873i | −0.706769 | + | 0.972784i | ||||
\(579\) | −54.5238 | − | 39.6139i | −2.26593 | − | 1.64630i | ||||
\(580\) | 4.01518 | + | 5.52269i | 0.166721 | + | 0.229317i | ||||
\(581\) | 5.22011 | − | 3.79263i | 0.216567 | − | 0.157345i | ||||
\(582\) | 54.0565i | 2.24071i | ||||||||
\(583\) | 15.3306 | + | 21.1007i | 0.634927 | + | 0.873903i | ||||
\(584\) | 3.21946 | + | 9.90848i | 0.133222 | + | 0.410016i | ||||
\(585\) | 57.4194 | + | 41.6894i | 2.37400 | + | 1.72365i | ||||
\(586\) | −9.03380 | + | 27.8032i | −0.373183 | + | 1.14854i | ||||
\(587\) | 22.7123 | − | 7.37968i | 0.937438 | − | 0.304592i | 0.199837 | − | 0.979829i | \(-0.435959\pi\) |
0.737601 | + | 0.675237i | \(0.235959\pi\) | |||||||
\(588\) | 4.55953 | − | 1.48148i | 0.188032 | − | 0.0610952i | ||||
\(589\) | 2.02796 | − | 6.24143i | 0.0835608 | − | 0.257174i | ||||
\(590\) | −5.31033 | − | 16.3256i | −0.218623 | − | 0.672116i | ||||
\(591\) | −1.36376 | − | 4.19722i | −0.0560976 | − | 0.172651i | ||||
\(592\) | 26.8315 | + | 36.9304i | 1.10277 | + | 1.51783i | ||||
\(593\) | − | 3.07757i | − | 0.126381i | −0.998001 | − | 0.0631903i | \(-0.979872\pi\) | ||
0.998001 | − | 0.0631903i | \(-0.0201275\pi\) | |||||||
\(594\) | 30.7673 | − | 22.3538i | 1.26240 | − | 0.917187i | ||||
\(595\) | 1.81407 | − | 2.49854i | 0.0743697 | − | 0.102430i | ||||
\(596\) | 19.7717 | + | 14.3650i | 0.809881 | + | 0.588413i | ||||
\(597\) | −0.901881 | + | 1.24133i | −0.0369115 | + | 0.0508044i | ||||
\(598\) | 21.8249 | + | 7.09133i | 0.892485 | + | 0.289986i | ||||
\(599\) | 16.5930 | 0.677972 | 0.338986 | − | 0.940791i | \(-0.389916\pi\) | ||||
0.338986 | + | 0.940791i | \(0.389916\pi\) | |||||||
\(600\) | −7.37856 | + | 5.36809i | −0.301228 | + | 0.219151i | ||||
\(601\) | −6.06622 | −0.247446 | −0.123723 | − | 0.992317i | \(-0.539483\pi\) | ||||
−0.123723 | + | 0.992317i | \(0.539483\pi\) | |||||||
\(602\) | −8.06578 | − | 2.62073i | −0.328737 | − | 0.106813i | ||||
\(603\) | 23.7628 | − | 32.7066i | 0.967695 | − | 1.33192i | ||||
\(604\) | 6.50817 | + | 4.72846i | 0.264814 | + | 0.192398i | ||||
\(605\) | 3.45844 | + | 1.12249i | 0.140606 | + | 0.0456355i | ||||
\(606\) | 4.43050 | − | 3.21895i | 0.179977 | − | 0.130761i | ||||
\(607\) | 25.1099i | 1.01918i | 0.860418 | + | 0.509590i | \(0.170203\pi\) | ||||
−0.860418 | + | 0.509590i | \(0.829797\pi\) | |||||||
\(608\) | −28.2500 | − | 38.8828i | −1.14569 | − | 1.57690i | ||||
\(609\) | −1.62517 | − | 5.00176i | −0.0658552 | − | 0.202681i | ||||
\(610\) | 3.65272 | − | 11.2542i | 0.147894 | − | 0.455671i | ||||
\(611\) | 3.37137 | − | 10.3760i | 0.136391 | − | 0.419768i | ||||
\(612\) | −11.5183 | + | 3.74251i | −0.465598 | + | 0.151282i | ||||
\(613\) | −4.89361 | + | 1.59003i | −0.197651 | + | 0.0642208i | −0.406170 | − | 0.913798i | \(-0.633136\pi\) |
0.208519 | + | 0.978018i | \(0.433136\pi\) | |||||||
\(614\) | −0.431668 | + | 1.32854i | −0.0174207 | + | 0.0536154i | ||||
\(615\) | −50.8610 | + | 0.0163530i | −2.05091 | + | 0.000659418i | ||||
\(616\) | −0.600869 | − | 1.84928i | −0.0242097 | − | 0.0745098i | ||||
\(617\) | 17.5948 | + | 24.2172i | 0.708340 | + | 0.974947i | 0.999831 | + | 0.0183732i | \(0.00584870\pi\) |
−0.291491 | + | 0.956574i | \(0.594151\pi\) | |||||||
\(618\) | − | 74.6400i | − | 3.00246i | ||||||
\(619\) | 1.73936 | − | 1.26372i | 0.0699107 | − | 0.0507931i | −0.552281 | − | 0.833658i | \(-0.686242\pi\) |
0.622192 | + | 0.782865i | \(0.286242\pi\) | |||||||
\(620\) | −3.60929 | + | 1.17401i | −0.144953 | + | 0.0471495i | ||||
\(621\) | 10.4140 | + | 7.56620i | 0.417899 | + | 0.303621i | ||||
\(622\) | 13.3442 | − | 18.3667i | 0.535054 | − | 0.736438i | ||||
\(623\) | 4.17510 | + | 1.35657i | 0.167272 | + | 0.0543499i | ||||
\(624\) | −78.9785 | −3.16167 | ||||||||
\(625\) | 7.69484 | − | 23.7863i | 0.307794 | − | 0.951453i | ||||
\(626\) | 39.7018 | 1.58680 | ||||||||
\(627\) | 53.9737 | + | 17.5371i | 2.15550 | + | 0.700365i | ||||
\(628\) | −2.73920 | + | 3.77018i | −0.109306 | + | 0.150447i | ||||
\(629\) | 11.1997 | + | 8.13709i | 0.446563 | + | 0.324447i | ||||
\(630\) | −21.4101 | + | 6.96418i | −0.853000 | + | 0.277460i | ||||
\(631\) | −23.6097 | + | 17.1535i | −0.939889 | + | 0.682869i | −0.948394 | − | 0.317095i | \(-0.897293\pi\) |
0.00850531 | + | 0.999964i | \(0.497293\pi\) | |||||||
\(632\) | 0.442736i | 0.0176111i | ||||||||
\(633\) | 1.85147 | + | 2.54833i | 0.0735892 | + | 0.101287i | ||||
\(634\) | −16.1118 | − | 49.5870i | −0.639881 | − | 1.96935i | ||||
\(635\) | −4.78283 | + | 0.00153779i | −0.189801 | + | 6.10255e-5i | ||||
\(636\) | −12.6205 | + | 38.8418i | −0.500434 | + | 1.54018i | ||||
\(637\) | 5.74099 | − | 1.86536i | 0.227466 | − | 0.0739082i | ||||
\(638\) | 10.2073 | − | 3.31656i | 0.404112 | − | 0.131304i | ||||
\(639\) | 14.0563 | − | 43.2607i | 0.556057 | − | 1.71137i | ||||
\(640\) | 3.45903 | − | 10.6575i | 0.136730 | − | 0.421273i | ||||
\(641\) | 13.5991 | + | 41.8537i | 0.537132 | + | 1.65312i | 0.738997 | + | 0.673708i | \(0.235300\pi\) |
−0.201865 | + | 0.979413i | \(0.564700\pi\) | |||||||
\(642\) | −0.583632 | − | 0.803301i | −0.0230341 | − | 0.0317037i | ||||
\(643\) | 8.47935i | 0.334393i | 0.985924 | + | 0.167196i | \(0.0534714\pi\) | ||||
−0.985924 | + | 0.167196i | \(0.946529\pi\) | |||||||
\(644\) | −2.67909 | + | 1.94647i | −0.105571 | + | 0.0767018i | ||||
\(645\) | 27.0612 | + | 8.78311i | 1.06553 | + | 0.345835i | ||||
\(646\) | −13.8021 | − | 10.0278i | −0.543036 | − | 0.394539i | ||||
\(647\) | −3.90601 | + | 5.37616i | −0.153561 | + | 0.211359i | −0.878866 | − | 0.477070i | \(-0.841699\pi\) |
0.725305 | + | 0.688428i | \(0.241699\pi\) | |||||||
\(648\) | −1.73031 | − | 0.562212i | −0.0679730 | − | 0.0220858i | ||||
\(649\) | −12.2729 | −0.481752 | ||||||||
\(650\) | 46.7459 | − | 34.0089i | 1.83353 | − | 1.33394i | ||||
\(651\) | 2.92336 | 0.114576 | ||||||||
\(652\) | 0.880464 | + | 0.286080i | 0.0344816 | + | 0.0112038i | ||||
\(653\) | −27.9907 | + | 38.5258i | −1.09536 | + | 1.50763i | −0.253962 | + | 0.967214i | \(0.581734\pi\) |
−0.841397 | + | 0.540418i | \(0.818266\pi\) | |||||||
\(654\) | −35.2378 | − | 25.6018i | −1.37791 | − | 1.00111i | ||||
\(655\) | −17.1970 | + | 23.6856i | −0.671942 | + | 0.925475i | ||||
\(656\) | 29.1586 | − | 21.1850i | 1.13845 | − | 0.827134i | ||||
\(657\) | − | 86.2379i | − | 3.36446i | ||||||
\(658\) | 2.03470 | + | 2.80053i | 0.0793210 | + | 0.109176i | ||||
\(659\) | −1.87292 | − | 5.76427i | −0.0729587 | − | 0.224544i | 0.907927 | − | 0.419128i | \(-0.137664\pi\) |
−0.980886 | + | 0.194584i | \(0.937664\pi\) | |||||||
\(660\) | −10.1524 | − | 31.2119i | −0.395184 | − | 1.21492i | ||||
\(661\) | −1.52692 | + | 4.69939i | −0.0593905 | + | 0.182785i | −0.976350 | − | 0.216194i | \(-0.930636\pi\) |
0.916960 | + | 0.398979i | \(0.130636\pi\) | |||||||
\(662\) | −33.2073 | + | 10.7897i | −1.29064 | + | 0.419354i | ||||
\(663\) | −22.7792 | + | 7.40142i | −0.884672 | + | 0.287447i | ||||
\(664\) | 1.26631 | − | 3.89731i | 0.0491425 | − | 0.151245i | ||||
\(665\) | −11.6721 | − | 8.47455i | −0.452625 | − | 0.328629i | ||||
\(666\) | −31.1934 | − | 96.0035i | −1.20872 | − | 3.72006i | ||||
\(667\) | 2.13526 | + | 2.93894i | 0.0826777 | + | 0.113796i | ||||
\(668\) | 27.0498i | 1.04659i | ||||||||
\(669\) | 18.7345 | − | 13.6114i | 0.724317 | − | 0.526247i | ||||
\(670\) | −19.3677 | − | 26.6394i | −0.748241 | − | 1.02917i | ||||
\(671\) | −6.84319 | − | 4.97187i | −0.264178 | − | 0.191937i | ||||
\(672\) | 12.5841 | − | 17.3206i | 0.485443 | − | 0.668155i | ||||
\(673\) | 1.24423 | + | 0.404276i | 0.0479617 | + | 0.0155837i | 0.332900 | − | 0.942962i | \(-0.391973\pi\) |
−0.284938 | + | 0.958546i | \(0.591973\pi\) | |||||||
\(674\) | 35.9923 | 1.38637 | ||||||||
\(675\) | 30.8332 | − | 10.0402i | 1.18677 | − | 0.386449i | ||||
\(676\) | 39.1051 | 1.50404 | ||||||||
\(677\) | −37.5073 | − | 12.1869i | −1.44152 | − | 0.468379i | −0.519151 | − | 0.854682i | \(-0.673752\pi\) |
−0.922372 | + | 0.386303i | \(0.873752\pi\) | |||||||
\(678\) | −17.3566 | + | 23.8892i | −0.666574 | + | 0.917461i | ||||
\(679\) | −7.94614 | − | 5.77321i | −0.304945 | − | 0.221555i | ||||
\(680\) | −0.000630490 | − | 1.96094i | −2.41782e−5 | − | 0.0751987i | ||||
\(681\) | 2.10454 | − | 1.52904i | 0.0806461 | − | 0.0585928i | ||||
\(682\) | 5.96585i | 0.228444i | ||||||||
\(683\) | −24.4461 | − | 33.6472i | −0.935404 | − | 1.28747i | −0.957714 | − | 0.287722i | \(-0.907102\pi\) |
0.0223098 | − | 0.999751i | \(-0.492898\pi\) | |||||||
\(684\) | 17.4834 | + | 53.8083i | 0.668494 | + | 2.05741i | ||||
\(685\) | 15.1878 | − | 11.0420i | 0.580294 | − | 0.421894i | ||||
\(686\) | −0.591863 | + | 1.82157i | −0.0225974 | + | 0.0695478i | ||||
\(687\) | 20.6368 | − | 6.70531i | 0.787344 | − | 0.255824i | ||||
\(688\) | −19.1746 | + | 6.23021i | −0.731025 | + | 0.237524i | ||||
\(689\) | −15.8906 | + | 48.9064i | −0.605386 | + | 1.86319i | ||||
\(690\) | 19.7568 | − | 14.3639i | 0.752128 | − | 0.546823i | ||||
\(691\) | −0.309788 | − | 0.953430i | −0.0117849 | − | 0.0362702i | 0.944991 | − | 0.327096i | \(-0.106070\pi\) |
−0.956776 | + | 0.290826i | \(0.906070\pi\) | |||||||
\(692\) | 18.2775 | + | 25.1569i | 0.694808 | + | 0.956321i | ||||
\(693\) | 16.0951i | 0.611404i | ||||||||
\(694\) | 15.2987 | − | 11.1152i | 0.580730 | − | 0.421925i | ||||
\(695\) | 0.0167285 | + | 52.0289i | 0.000634549 | + | 1.97357i | ||||
\(696\) | −2.70216 | − | 1.96323i | −0.102425 | − | 0.0744161i | ||||
\(697\) | 6.42468 | − | 8.84281i | 0.243352 | − | 0.334945i | ||||
\(698\) | 53.2809 | + | 17.3120i | 2.01671 | + | 0.655269i | ||||
\(699\) | 33.4941 | 1.26686 | ||||||||
\(700\) | 0.00536434 | + | 8.34206i | 0.000202753 | + | 0.315300i | ||||
\(701\) | 46.3396 | 1.75022 | 0.875111 | − | 0.483922i | \(-0.160788\pi\) | ||||
0.875111 | + | 0.483922i | \(0.160788\pi\) | |||||||
\(702\) | 71.3113 | + | 23.1704i | 2.69147 | + | 0.874512i | ||||
\(703\) | 38.0129 | − | 52.3203i | 1.43368 | − | 1.97330i | ||||
\(704\) | 12.7906 | + | 9.29295i | 0.482066 | + | 0.350241i | ||||
\(705\) | −6.82888 | − | 9.39279i | −0.257190 | − | 0.353753i | ||||
\(706\) | 14.4434 | − | 10.4938i | 0.543585 | − | 0.394938i | ||||
\(707\) | 0.995054i | 0.0374228i | ||||||||
\(708\) | −11.2958 | − | 15.5473i | −0.424523 | − | 0.584305i | ||||
\(709\) | −3.20623 | − | 9.86777i | −0.120413 | − | 0.370592i | 0.872625 | − | 0.488391i | \(-0.162416\pi\) |
−0.993037 | + | 0.117799i | \(0.962416\pi\) | |||||||
\(710\) | −29.9872 | − | 21.7723i | −1.12540 | − | 0.817099i | ||||
\(711\) | 1.13247 | − | 3.48537i | 0.0424708 | − | 0.130712i | ||||
\(712\) | 2.65157 | − | 0.861548i | 0.0993719 | − | 0.0322879i | ||||
\(713\) | −1.92046 | + | 0.623995i | −0.0719218 | + | 0.0233688i | ||||
\(714\) | 2.34841 | − | 7.22767i | 0.0878871 | − | 0.270489i | ||||
\(715\) | −12.7831 | − | 39.2995i | −0.478062 | − | 1.46972i | ||||
\(716\) | −11.5519 | − | 35.5531i | −0.431715 | − | 1.32868i | ||||
\(717\) | −22.8808 | − | 31.4927i | −0.854499 | − | 1.17612i | ||||
\(718\) | 3.10163i | 0.115752i | ||||||||
\(719\) | 24.1273 | − | 17.5295i | 0.899797 | − | 0.653741i | −0.0386171 | − | 0.999254i | \(-0.512295\pi\) |
0.938414 | + | 0.345514i | \(0.112295\pi\) | |||||||
\(720\) | −31.4460 | + | 43.3109i | −1.17192 | + | 1.61410i | ||||
\(721\) | 10.9719 | + | 7.97152i | 0.408614 | + | 0.296875i | ||||
\(722\) | −25.4555 | + | 35.0365i | −0.947355 | + | 1.30392i | ||||
\(723\) | 36.1532 | + | 11.7469i | 1.34455 | + | 0.436872i | ||||
\(724\) | −3.81789 | −0.141891 | ||||||||
\(725\) | 9.15116 | − | 0.00588463i | 0.339865 | − | 0.000218550i | ||||
\(726\) | 8.94937 | 0.332142 | ||||||||
\(727\) | −16.8641 | − | 5.47948i | −0.625455 | − | 0.203223i | −0.0208944 | − | 0.999782i | \(-0.506651\pi\) |
−0.604561 | + | 0.796559i | \(0.706651\pi\) | |||||||
\(728\) | 2.25339 | − | 3.10152i | 0.0835161 | − | 0.114950i | ||||
\(729\) | −33.0460 | − | 24.0093i | −1.22393 | − | 0.889234i | ||||
\(730\) | −66.8251 | − | 21.6890i | −2.47331 | − | 0.802747i | ||||
\(731\) | −4.94654 | + | 3.59387i | −0.182954 | + | 0.132924i | ||||
\(732\) | − | 13.2451i | − | 0.489551i | ||||||
\(733\) | −12.5199 | − | 17.2321i | −0.462433 | − | 0.636484i | 0.512578 | − | 0.858640i | \(-0.328690\pi\) |
−0.975011 | + | 0.222157i | \(0.928690\pi\) | |||||||
\(734\) | 18.6584 | + | 57.4247i | 0.688695 | + | 2.11959i | ||||
\(735\) | 1.98357 | − | 6.11148i | 0.0731650 | − | 0.225425i | ||||
\(736\) | −4.56986 | + | 14.0646i | −0.168447 | + | 0.518427i | ||||
\(737\) | −22.3929 | + | 7.27590i | −0.824854 | + | 0.268011i | ||||
\(738\) | −75.8001 | + | 24.6289i | −2.79024 | + | 0.906604i | ||||
\(739\) | 2.81420 | − | 8.66123i | 0.103522 | − | 0.318608i | −0.885859 | − | 0.463955i | \(-0.846430\pi\) |
0.989381 | + | 0.145347i | \(0.0464298\pi\) | |||||||
\(740\) | −37.4021 | + | 0.0120257i | −1.37493 | + | 0.000442072i | ||||
\(741\) | 34.5762 | + | 106.415i | 1.27019 | + | 3.90924i | ||||
\(742\) | −9.59041 | − | 13.2001i | −0.352075 | − | 0.484589i | ||||
\(743\) | − | 11.4642i | − | 0.420580i | −0.977639 | − | 0.210290i | \(-0.932559\pi\) | ||
0.977639 | − | 0.210290i | \(-0.0674409\pi\) | |||||||
\(744\) | 1.50202 | − | 1.09128i | 0.0550669 | − | 0.0400084i | ||||
\(745\) | 31.1479 | − | 10.1316i | 1.14117 | − | 0.371195i | ||||
\(746\) | −26.1456 | − | 18.9959i | −0.957258 | − | 0.695489i | ||||
\(747\) | −19.9377 | + | 27.4419i | −0.729482 | + | 1.00405i | ||||
\(748\) | 6.70831 | + | 2.17966i | 0.245280 | + | 0.0796963i | ||||
\(749\) | 0.180414 | 0.00659220 | ||||||||
\(750\) | −0.0593524 | − | 61.5324i | −0.00216724 | − | 2.24685i | ||||
\(751\) | 36.6511 | 1.33742 | 0.668709 | − | 0.743524i | \(-0.266847\pi\) | ||||
0.668709 | + | 0.743524i | \(0.266847\pi\) | |||||||
\(752\) | 7.82652 | + | 2.54299i | 0.285404 | + | 0.0927334i | ||||
\(753\) | −43.3188 | + | 59.6232i | −1.57862 | + | 2.17279i | ||||
\(754\) | 17.1192 | + | 12.4378i | 0.623444 | + | 0.452958i | ||||
\(755\) | 10.2528 | − | 3.33499i | 0.373139 | − | 0.121373i | ||||
\(756\) | −8.75375 | + | 6.35997i | −0.318371 | + | 0.231310i | ||||
\(757\) | 22.2235i | 0.807726i | 0.914820 | + | 0.403863i | \(0.132333\pi\) | ||||
−0.914820 | + | 0.403863i | \(0.867667\pi\) | |||||||
\(758\) | 11.3001 | + | 15.5532i | 0.410437 | + | 0.564917i | ||||
\(759\) | −5.39609 | − | 16.6075i | −0.195866 | − | 0.602812i | ||||
\(760\) | −9.16067 | + | 0.00294537i | −0.332292 | + | 0.000106840i | ||||
\(761\) | 3.30130 | − | 10.1604i | 0.119672 | − | 0.368313i | −0.873221 | − | 0.487325i | \(-0.837973\pi\) |
0.992893 | + | 0.119012i | \(0.0379727\pi\) | |||||||
\(762\) | −11.1958 | + | 3.63774i | −0.405581 | + | 0.131781i | ||||
\(763\) | 7.52677 | − | 2.44560i | 0.272488 | − | 0.0885366i | ||||
\(764\) | 6.54407 | − | 20.1406i | 0.236756 | − | 0.728660i | ||||
\(765\) | −5.01089 | + | 15.4388i | −0.181169 | + | 0.558191i | ||||
\(766\) | 6.13659 | + | 18.8865i | 0.221724 | + | 0.682396i | ||||
\(767\) | −14.2228 | − | 19.5760i | −0.513554 | − | 0.706847i | ||||
\(768\) | − | 57.2548i | − | 2.06600i | ||||||
\(769\) | −20.7322 | + | 15.0628i | −0.747621 | + | 0.543179i | −0.895089 | − | 0.445888i | \(-0.852888\pi\) |
0.147467 | + | 0.989067i | \(0.452888\pi\) | |||||||
\(770\) | 12.4720 | + | 4.04797i | 0.449460 | + | 0.145879i | ||||
\(771\) | −14.3209 | − | 10.4047i | −0.515754 | − | 0.374717i | ||||
\(772\) | −23.0007 | + | 31.6577i | −0.827813 | + | 1.13939i | ||||
\(773\) | −7.60477 | − | 2.47094i | −0.273525 | − | 0.0888735i | 0.169043 | − | 0.985609i | \(-0.445932\pi\) |
−0.442568 | + | 0.896735i | \(0.645932\pi\) | |||||||
\(774\) | 44.5835 | 1.60252 | ||||||||
\(775\) | −1.56879 | + | 4.83882i | −0.0563525 | + | 0.173816i | ||||
\(776\) | −6.23786 | −0.223926 | ||||||||
\(777\) | 27.3983 | + | 8.90225i | 0.982909 | + | 0.319366i | ||||
\(778\) | −11.7315 | + | 16.1470i | −0.420594 | + | 0.578898i | ||||
\(779\) | −41.3098 | − | 30.0133i | −1.48008 | − | 1.07534i | ||||
\(780\) | 38.0194 | − | 52.3646i | 1.36131 | − | 1.87495i | ||||
\(781\) | −21.4324 | + | 15.5716i | −0.766913 | + | 0.557195i | ||||
\(782\) | 5.24938i | 0.187718i | ||||||||
\(783\) | 6.97682 | + | 9.60277i | 0.249331 | + | 0.343175i | ||||
\(784\) | 1.40702 | + | 4.33037i | 0.0502508 | + | 0.154656i | ||||
\(785\) | 1.93196 | + | 5.93946i | 0.0689546 | + | 0.211988i | ||||
\(786\) | −22.2624 | + | 68.5167i | −0.794075 | + | 2.44391i | ||||
\(787\) | 21.7951 | − | 7.08165i | 0.776911 | − | 0.252434i | 0.106390 | − | 0.994324i | \(-0.466071\pi\) |
0.670521 | + | 0.741891i | \(0.266071\pi\) | |||||||
\(788\) | −2.43700 | + | 0.791829i | −0.0868145 | + | 0.0282077i | ||||
\(789\) | 1.28469 | − | 3.95387i | 0.0457362 | − | 0.140761i | ||||
\(790\) | −2.41597 | − | 1.75412i | −0.0859563 | − | 0.0624087i | ||||
\(791\) | −1.65798 | − | 5.10272i | −0.0589508 | − | 0.181432i | ||||
\(792\) | 6.00828 | + | 8.26969i | 0.213495 | + | 0.293851i | ||||
\(793\) | − | 16.6771i | − | 0.592221i | ||||||
\(794\) | −49.8870 | + | 36.2450i | −1.77042 | + | 1.28629i | ||||
\(795\) | 32.1873 | + | 44.2721i | 1.14157 | + | 1.57017i | ||||
\(796\) | 0.720745 | + | 0.523652i | 0.0255461 | + | 0.0185604i | ||||
\(797\) | 19.4607 | − | 26.7854i | 0.689335 | − | 0.948788i | −0.310664 | − | 0.950520i | \(-0.600551\pi\) |
0.999999 | + | 0.00173186i | \(0.000551268\pi\) | |||||||
\(798\) | −33.7645 | − | 10.9708i | −1.19525 | − | 0.388361i | ||||
\(799\) | 2.49567 | 0.0882903 | ||||||||
\(800\) | 21.9163 | + | 30.1244i | 0.774858 | + | 1.06506i | ||||
\(801\) | −23.0778 | −0.815414 | ||||||||
\(802\) | 18.9845 | + | 6.16844i | 0.670366 | + | 0.217815i | ||||
\(803\) | −29.5218 | + | 40.6333i | −1.04180 | + | 1.43392i | ||||
\(804\) | −29.8274 | − | 21.6709i | −1.05193 | − | 0.764272i | ||||
\(805\) | 0.00142700 | + | 4.43824i | 5.02952e−5 | + | 0.156428i | ||||
\(806\) | −9.51589 | + | 6.91370i | −0.335183 | + | 0.243525i | ||||
\(807\) | − | 10.0088i | − | 0.352326i | ||||||
\(808\) | 0.371451 | + | 0.511259i | 0.0130676 | + | 0.0179860i | ||||
\(809\) | 7.74035 | + | 23.8224i | 0.272136 | + | 0.837550i | 0.989963 | + | 0.141328i | \(0.0451371\pi\) |
−0.717826 | + | 0.696222i | \(0.754863\pi\) | |||||||
\(810\) | 9.92341 | − | 7.21466i | 0.348673 | − | 0.253497i | ||||
\(811\) | 9.18232 | − | 28.2603i | 0.322435 | − | 0.992352i | −0.650151 | − | 0.759805i | \(-0.725294\pi\) |
0.972585 | − | 0.232547i | \(-0.0747058\pi\) | |||||||
\(812\) | −2.90413 | + | 0.943609i | −0.101915 | + | 0.0331142i | ||||
\(813\) | 63.4762 | − | 20.6247i | 2.22621 | − | 0.723339i | ||||
\(814\) | −18.1673 | + | 55.9131i | −0.636762 | + | 1.95975i | ||||
\(815\) | 1.00356 | − | 0.729621i | 0.0351531 | − | 0.0255575i | ||||
\(816\) | −5.58283 | − | 17.1822i | −0.195438 | − | 0.601497i | ||||
\(817\) | 16.7890 | + | 23.1081i | 0.587373 | + | 0.808449i | ||||
\(818\) | 59.4835i | 2.07979i | ||||||||
\(819\) | −25.6727 | + | 18.6523i | −0.897078 | + | 0.651765i | ||||
\(820\) | 0.00949493 | + | 29.5310i | 0.000331577 | + | 1.03127i | ||||
\(821\) | 8.31326 | + | 6.03994i | 0.290135 | + | 0.210795i | 0.723326 | − | 0.690507i | \(-0.242612\pi\) |
−0.433191 | + | 0.901302i | \(0.642612\pi\) | |||||||
\(822\) | 27.1657 | − | 37.3903i | 0.947511 | − | 1.30414i | ||||
\(823\) | 10.1357 | + | 3.29329i | 0.353308 | + | 0.114797i | 0.480293 | − | 0.877108i | \(-0.340530\pi\) |
−0.126985 | + | 0.991905i | \(0.540530\pi\) | |||||||
\(824\) | 8.61310 | 0.300052 | ||||||||
\(825\) | −41.8444 | − | 13.5663i | −1.45684 | − | 0.472319i | ||||
\(826\) | 7.67758 | 0.267137 | ||||||||
\(827\) | −10.1545 | − | 3.29939i | −0.353106 | − | 0.114731i | 0.127093 | − | 0.991891i | \(-0.459435\pi\) |
−0.480199 | + | 0.877160i | \(0.659435\pi\) | |||||||
\(828\) | 10.2325 | − | 14.0839i | 0.355605 | − | 0.489448i | ||||
\(829\) | 6.62372 | + | 4.81241i | 0.230051 | + | 0.167142i | 0.696839 | − | 0.717227i | \(-0.254589\pi\) |
−0.466788 | + | 0.884369i | \(0.654589\pi\) | |||||||
\(830\) | 16.2501 | + | 22.3513i | 0.564050 | + | 0.775824i | ||||
\(831\) | −51.5873 | + | 37.4804i | −1.78954 | + | 1.30018i | ||||
\(832\) | 31.1713i | 1.08067i | ||||||||
\(833\) | 0.811636 | + | 1.11712i | 0.0281215 | + | 0.0387060i | ||||
\(834\) | 39.5723 | + | 121.791i | 1.37028 | + | 4.21727i | ||||
\(835\) | 29.3363 | + | 21.2997i | 1.01522 | + | 0.737105i | ||||
\(836\) | 10.1824 | − | 31.3383i | 0.352167 | − | 1.08386i | ||||
\(837\) | −6.27497 | + | 2.03886i | −0.216895 | + | 0.0704734i | ||||
\(838\) | −24.8234 | + | 8.06562i | −0.857511 | + | 0.278622i | ||||
\(839\) | −0.388324 | + | 1.19514i | −0.0134064 | + | 0.0412607i | −0.957536 | − | 0.288314i | \(-0.906905\pi\) |
0.944130 | + | 0.329575i | \(0.106905\pi\) | |||||||
\(840\) | −1.26225 | − | 3.88055i | −0.0435516 | − | 0.133892i | ||||
\(841\) | −7.92636 | − | 24.3948i | −0.273323 | − | 0.841201i | ||||
\(842\) | −23.1844 | − | 31.9106i | −0.798986 | − | 1.09971i | ||||
\(843\) | − | 49.8926i | − | 1.71839i | ||||||
\(844\) | 1.47961 | − | 1.07500i | 0.0509304 | − | 0.0370031i | ||||
\(845\) | 30.7922 | − | 42.4105i | 1.05928 | − | 1.45897i | ||||
\(846\) | −14.7223 | − | 10.6964i | −0.506162 | − | 0.367748i | ||||
\(847\) | −0.955789 | + | 1.31553i | −0.0328413 | + | 0.0452022i | ||||
\(848\) | −36.8897 | − | 11.9862i | −1.26680 | − | 0.411607i | ||||
\(849\) | −46.6621 | −1.60144 | ||||||||
\(850\) | 10.7032 | + | 7.76580i | 0.367116 | + | 0.266365i | ||||
\(851\) | −19.8991 | −0.682133 | ||||||||
\(852\) | −39.4524 | − | 12.8189i | −1.35162 | − | 0.439167i | ||||
\(853\) | 28.7137 | − | 39.5210i | 0.983138 | − | 1.35317i | 0.0480160 | − | 0.998847i | \(-0.484710\pi\) |
0.935122 | − | 0.354326i | \(-0.115290\pi\) | |||||||
\(854\) | 4.28092 | + | 3.11027i | 0.146490 | + | 0.106431i | ||||
\(855\) | 72.1234 | + | 23.4087i | 2.46657 | + | 0.800560i | ||||
\(856\) | 0.0926971 | − | 0.0673483i | 0.00316832 | − | 0.00230192i | ||||
\(857\) | − | 54.3699i | − | 1.85724i | −0.371033 | − | 0.928620i | \(-0.620996\pi\) | ||
0.371033 | − | 0.928620i | \(-0.379004\pi\) | |||||||
\(858\) | −59.7872 | − | 82.2900i | −2.04110 | − | 2.80934i | ||||
\(859\) | 5.30256 | + | 16.3196i | 0.180921 | + | 0.556818i | 0.999854 | − | 0.0170711i | \(-0.00543415\pi\) |
−0.818933 | + | 0.573889i | \(0.805434\pi\) | |||||||
\(860\) | 5.09967 | − | 15.7123i | 0.173897 | − | 0.535787i | ||||
\(861\) | 7.02882 | − | 21.6325i | 0.239541 | − | 0.737233i | ||||
\(862\) | −2.53381 | + | 0.823286i | −0.0863020 | + | 0.0280412i | ||||
\(863\) | 3.24169 | − | 1.05329i | 0.110348 | − | 0.0358544i | −0.253322 | − | 0.967382i | \(-0.581523\pi\) |
0.363671 | + | 0.931528i | \(0.381523\pi\) | |||||||
\(864\) | −14.9317 | + | 45.9551i | −0.507987 | + | 1.56342i | ||||
\(865\) | 41.6755 | − | 0.0133997i | 1.41701 | − | 0.000455602i | ||||
\(866\) | −4.18185 | − | 12.8704i | −0.142105 | − | 0.437355i | ||||
\(867\) | 25.4925 | + | 35.0874i | 0.865771 | + | 1.19163i | ||||
\(868\) | − | 1.69737i | − | 0.0576124i | ||||||
\(869\) | −1.72674 | + | 1.25455i | −0.0585756 | + | 0.0425576i | ||||
\(870\) | 21.4191 | − | 6.96710i | 0.726175 | − | 0.236207i | ||||
\(871\) | −37.5562 | − | 27.2862i | −1.27254 | − | 0.924557i | ||||
\(872\) | 2.95432 | − | 4.06628i | 0.100046 | − | 0.137702i | ||||
\(873\) | 49.1065 | + | 15.9557i | 1.66200 | + | 0.540018i | ||||
\(874\) | 24.5228 | 0.829497 | ||||||||
\(875\) | 9.05142 | + | 6.56291i | 0.305994 | + | 0.221867i | ||||
\(876\) | −78.6461 | −2.65721 | ||||||||
\(877\) | 6.31149 | + | 2.05073i | 0.213124 | + | 0.0692481i | 0.413633 | − | 0.910444i | \(-0.364260\pi\) |
−0.200509 | + | 0.979692i | \(0.564260\pi\) | |||||||
\(878\) | 20.8771 | − | 28.7349i | 0.704569 | − | 0.969757i | ||||
\(879\) | 35.4827 | + | 25.7797i | 1.19680 | + | 0.869527i | ||||
\(880\) | 29.6432 | − | 9.64221i | 0.999273 | − | 0.325039i | ||||
\(881\) | −12.9336 | + | 9.39681i | −0.435744 | + | 0.316586i | −0.783942 | − | 0.620835i | \(-0.786794\pi\) |
0.348198 | + | 0.937421i | \(0.386794\pi\) | |||||||
\(882\) | − | 10.0687i | − | 0.339031i | ||||||
\(883\) | 23.0624 | + | 31.7427i | 0.776113 | + | 1.06823i | 0.995700 | + | 0.0926347i | \(0.0295289\pi\) |
−0.219587 | + | 0.975593i | \(0.570471\pi\) | |||||||
\(884\) | 4.29743 | + | 13.2261i | 0.144538 | + | 0.444843i | ||||
\(885\) | −25.7561 | + | 0.00828120i | −0.865782 | + | 0.000278370i | ||||
\(886\) | 17.6067 | − | 54.1878i | 0.591509 | − | 1.82048i | ||||
\(887\) | 13.6575 | − | 4.43760i | 0.458575 | − | 0.149000i | −0.0706148 | − | 0.997504i | \(-0.522496\pi\) |
0.529189 | + | 0.848504i | \(0.322496\pi\) | |||||||
\(888\) | 17.4005 | − | 5.65375i | 0.583921 | − | 0.189727i | ||||
\(889\) | 0.660970 | − | 2.03426i | 0.0221682 | − | 0.0682268i | ||||
\(890\) | −5.80413 | + | 17.8828i | −0.194555 | + | 0.599434i | ||||
\(891\) | −2.71034 | − | 8.34156i | −0.0907998 | − | 0.279453i | ||||
\(892\) | −7.90308 | − | 10.8777i | −0.264615 | − | 0.364211i | ||||
\(893\) | − | 11.6587i | − | 0.390142i | ||||||
\(894\) | 65.2214 | − | 47.3861i | 2.18133 | − | 1.58483i | ||||
\(895\) | −47.6546 | − | 15.4670i | −1.59292 | − | 0.517004i | ||||
\(896\) | 4.05391 | + | 2.94534i | 0.135432 | + | 0.0983969i | ||||
\(897\) | 20.2365 | − | 27.8531i | 0.675676 | − | 0.929989i | ||||
\(898\) | −31.4965 | − | 10.2338i | −1.05105 | − | 0.341507i | ||||
\(899\) | −1.86200 | −0.0621010 | ||||||||
\(900\) | −13.5784 | − | 41.6988i | −0.452613 | − | 1.38996i | ||||
\(901\) | −11.7631 | −0.391886 | ||||||||
\(902\) | 44.1465 | + | 14.3441i | 1.46992 | + | 0.477605i | ||||
\(903\) | −7.47876 | + | 10.2936i | −0.248878 | + | 0.342551i | ||||
\(904\) | −2.75671 | − | 2.00286i | −0.0916867 | − | 0.0666143i | ||||
\(905\) | −3.00629 | + | 4.14061i | −0.0999326 | + | 0.137638i | ||||
\(906\) | 21.4686 | − | 15.5979i | 0.713248 | − | 0.518205i | ||||
\(907\) | 3.73711i | 0.124089i | 0.998073 | + | 0.0620443i | \(0.0197620\pi\) | ||||
−0.998073 | + | 0.0620443i | \(0.980238\pi\) | |||||||
\(908\) | −0.887793 | − | 1.22194i | −0.0294624 | − | 0.0405516i | ||||
\(909\) | −1.61645 | − | 4.97493i | −0.0536144 | − | 0.165008i | ||||
\(910\) | 7.99680 | + | 24.5847i | 0.265091 | + | 0.814975i | ||||
\(911\) | 6.83592 | − | 21.0388i | 0.226484 | − | 0.697047i | −0.771653 | − | 0.636043i | \(-0.780570\pi\) |
0.998138 | − | 0.0610034i | \(-0.0194301\pi\) | |||||||
\(912\) | −80.2676 | + | 26.0805i | −2.65793 | + | 0.863613i | ||||
\(913\) | 18.7884 | − | 6.10471i | 0.621804 | − | 0.202036i | ||||
\(914\) | −12.0775 | + | 37.1708i | −0.399489 | + | 1.22950i | ||||
\(915\) | −14.3646 | − | 10.4295i | −0.474880 | − | 0.344787i | ||||
\(916\) | −3.89325 | − | 11.9822i | −0.128637 | − | 0.395903i | ||||
\(917\) | −7.69414 | − | 10.5901i | −0.254083 | − | 0.349715i | ||||
\(918\) | 17.1520i | 0.566100i | ||||||||
\(919\) | −24.4618 | + | 17.7726i | −0.806921 | + | 0.586262i | −0.912936 | − | 0.408102i | \(-0.866191\pi\) |
0.106015 | + | 0.994364i | \(0.466191\pi\) | |||||||
\(920\) | 1.65752 | + | 2.27984i | 0.0546468 | + | 0.0751641i | ||||
\(921\) | 1.69549 | + | 1.23185i | 0.0558684 | + | 0.0405908i | ||||
\(922\) | 8.21719 | − | 11.3100i | 0.270619 | − | 0.372475i | ||||
\(923\) | −49.6752 | − | 16.1405i | −1.63508 | − | 0.531270i | ||||
\(924\) | 14.6782 | 0.482879 | ||||||||
\(925\) | −29.4382 | + | 40.5731i | −0.967923 | + | 1.33403i | ||||
\(926\) | −21.2207 | −0.697356 | ||||||||
\(927\) | −67.8052 | − | 22.0313i | −2.22702 | − | 0.723601i | ||||
\(928\) | −8.01529 | + | 11.0321i | −0.263115 | + | 0.362146i | ||||
\(929\) | −9.97863 | − | 7.24990i | −0.327388 | − | 0.237861i | 0.411933 | − | 0.911214i | \(-0.364854\pi\) |
−0.739322 | + | 0.673353i | \(0.764854\pi\) | |||||||
\(930\) | 0.00402550 | + | 12.5201i | 0.000132001 | + | 0.410549i | ||||
\(931\) | 5.21871 | − | 3.79161i | 0.171036 | − | 0.124265i | ||||
\(932\) | − | 19.4474i | − | 0.637021i | ||||||
\(933\) | −20.0200 | − | 27.5551i | −0.655424 | − | 0.902114i | ||||
\(934\) | 21.5506 | + | 66.3260i | 0.705158 | + | 2.17025i | ||||
\(935\) | 7.64618 | − | 5.55903i | 0.250057 | − | 0.181800i | ||||
\(936\) | −6.22778 | + | 19.1672i | −0.203562 | + | 0.626498i | ||||
\(937\) | 18.4481 | − | 5.99415i | 0.602673 | − | 0.195820i | 0.00824088 | − | 0.999966i | \(-0.497377\pi\) |
0.594432 | + | 0.804146i | \(0.297377\pi\) | |||||||
\(938\) | 14.0084 | − | 4.55161i | 0.457391 | − | 0.148615i | ||||
\(939\) | 18.4062 | − | 56.6484i | 0.600663 | − | 1.84865i | ||||
\(940\) | −5.45366 | + | 3.96500i | −0.177879 | + | 0.129324i | ||||
\(941\) | 10.3659 | + | 31.9030i | 0.337919 | + | 1.04001i | 0.965266 | + | 0.261268i | \(0.0841407\pi\) |
−0.627347 | + | 0.778740i | \(0.715859\pi\) | |||||||
\(942\) | 9.03585 | + | 12.4368i | 0.294404 | + | 0.405212i | ||||
\(943\) | 15.7114i | 0.511635i | ||||||||
\(944\) | 14.7660 | − | 10.7281i | 0.480591 | − | 0.349170i | ||||
\(945\) | 0.00466263 | + | 14.5017i | 0.000151675 | + | 0.471739i | ||||
\(946\) | −21.0067 | − | 15.2623i | −0.682987 | − | 0.496219i | ||||
\(947\) | 27.9294 | − | 38.4416i | 0.907584 | − | 1.24918i | −0.0604004 | − | 0.998174i | \(-0.519238\pi\) |
0.967985 | − | 0.251009i | \(-0.0807623\pi\) | |||||||
\(948\) | −3.17854 | − | 1.03277i | −0.103234 | − | 0.0335428i | ||||
\(949\) | −99.0248 | −3.21448 | ||||||||
\(950\) | 36.2784 | − | 50.0005i | 1.17703 | − | 1.62223i | ||||
\(951\) | −78.2227 | −2.53654 | ||||||||
\(952\) | 0.834038 | + | 0.270996i | 0.0270313 | + | 0.00878302i | ||||
\(953\) | −23.5943 | + | 32.4747i | −0.764293 | + | 1.05196i | 0.232552 | + | 0.972584i | \(0.425293\pi\) |
−0.996845 | + | 0.0793752i | \(0.974707\pi\) | |||||||
\(954\) | 69.3921 | + | 50.4163i | 2.24665 | + | 1.63229i | ||||
\(955\) | −16.6901 | − | 22.9564i | −0.540077 | − | 0.742850i | ||||
\(956\) | −18.2854 | + | 13.2851i | −0.591391 | + | 0.429671i | ||||
\(957\) | − | 16.1019i | − | 0.520500i | ||||||
\(958\) | −12.8326 | − | 17.6626i | −0.414604 | − | 0.570653i | ||||
\(959\) | 2.59499 | + | 7.98654i | 0.0837964 | + | 0.257899i | ||||
\(960\) | 26.8490 | + | 19.4938i | 0.866548 | + | 0.629159i | ||||
\(961\) | −9.25969 | + | 28.4984i | −0.298700 | + | 0.919303i | ||||
\(962\) | −110.238 | + | 35.8186i | −3.55423 | + | 1.15484i | ||||
\(963\) | −0.902011 | + | 0.293081i | −0.0290669 | + | 0.00944441i | ||||
\(964\) | 6.82051 | − | 20.9914i | 0.219674 | − | 0.676086i | ||||
\(965\) | 16.2224 | + | 49.8729i | 0.522218 | + | 1.60547i | ||||
\(966\) | 3.37565 | + | 10.3892i | 0.108610 | + | 0.334267i | ||||
\(967\) | 17.2854 | + | 23.7914i | 0.555862 | + | 0.765078i | 0.990793 | − | 0.135385i | \(-0.0432273\pi\) |
−0.434931 | + | 0.900464i | \(0.643227\pi\) | |||||||
\(968\) | 1.03271i | 0.0331927i | ||||||||
\(969\) | −20.7069 | + | 15.0445i | −0.665202 | + | 0.483298i | ||||
\(970\) | 24.7143 | − | 34.0394i | 0.793530 | − | 1.09294i | ||||
\(971\) | 30.3483 | + | 22.0493i | 0.973922 | + | 0.707596i | 0.956342 | − | 0.292249i | \(-0.0944038\pi\) |
0.0175802 | + | 0.999845i | \(0.494404\pi\) | |||||||
\(972\) | −11.0073 | + | 15.1503i | −0.353060 | + | 0.485945i | ||||
\(973\) | −22.1292 | − | 7.19021i | −0.709430 | − | 0.230508i | ||||
\(974\) | 61.0359 | 1.95572 | ||||||||
\(975\) | −26.8535 | − | 82.4661i | −0.860000 | − | 2.64103i | ||||
\(976\) | 12.5794 | 0.402656 | ||||||||
\(977\) | −12.6755 | − | 4.11853i | −0.405527 | − | 0.131764i | 0.0991491 | − | 0.995073i | \(-0.468388\pi\) |
−0.504676 | + | 0.863309i | \(0.668388\pi\) | |||||||
\(978\) | 1.79502 | − | 2.47063i | 0.0573984 | − | 0.0790022i | ||||
\(979\) | 10.8737 | + | 7.90023i | 0.347526 | + | 0.252492i | ||||
\(980\) | −3.54846 | − | 1.15170i | −0.113351 | − | 0.0367898i | ||||
\(981\) | −33.6585 | + | 24.4543i | −1.07463 | + | 0.780766i | ||||
\(982\) | 4.63579i | 0.147934i | ||||||||
\(983\) | 8.77208 | + | 12.0737i | 0.279786 | + | 0.385092i | 0.925663 | − | 0.378349i | \(-0.123508\pi\) |
−0.645877 | + | 0.763441i | \(0.723508\pi\) | |||||||
\(984\) | −4.46395 | − | 13.7386i | −0.142305 | − | 0.437971i | ||||
\(985\) | −1.06019 | + | 3.26650i | −0.0337804 | + | 0.104079i | ||||
\(986\) | −1.49579 | + | 4.60357i | −0.0476356 | + | 0.146607i | ||||
\(987\) | 4.93924 | − | 1.60486i | 0.157218 | − | 0.0510831i | ||||
\(988\) | 61.7867 | − | 20.0757i | 1.96570 | − | 0.638694i | ||||
\(989\) | 2.71587 | − | 8.35860i | 0.0863597 | − | 0.265788i | ||||
\(990\) | −68.9317 | + | 0.0221632i | −2.19079 | + | 0.000704392i | ||||
\(991\) | 5.95058 | + | 18.3140i | 0.189027 | + | 0.581764i | 0.999994 | − | 0.00332680i | \(-0.00105896\pi\) |
−0.810968 | + | 0.585091i | \(0.801059\pi\) | |||||||
\(992\) | −4.45539 | − | 6.13231i | −0.141459 | − | 0.194701i | ||||
\(993\) | 52.3840i | 1.66236i | ||||||||
\(994\) | 13.4076 | − | 9.74117i | 0.425262 | − | 0.308971i | ||||
\(995\) | 1.13545 | − | 0.369332i | 0.0359961 | − | 0.0117086i | ||||
\(996\) | 25.0261 | + | 18.1825i | 0.792982 | + | 0.576135i | ||||
\(997\) | 17.8611 | − | 24.5837i | 0.565667 | − | 0.778573i | −0.426367 | − | 0.904550i | \(-0.640207\pi\) |
0.992033 | + | 0.125977i | \(0.0402066\pi\) | |||||||
\(998\) | 33.2166 | + | 10.7927i | 1.05145 | + | 0.341638i | ||||
\(999\) | −65.0190 | −2.05711 |
(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 | 175.2.n.a.29.3 | ✓ | 56 | |
5.2 | odd | 4 | 875.2.h.d.351.11 | 56 | |||
5.3 | odd | 4 | 875.2.h.e.351.4 | 56 | |||
5.4 | even | 2 | 875.2.n.c.274.12 | 56 | |||
25.6 | even | 5 | 875.2.n.c.99.12 | 56 | |||
25.8 | odd | 20 | 875.2.h.e.526.4 | 56 | |||
25.12 | odd | 20 | 4375.2.a.p.1.22 | 28 | |||
25.13 | odd | 20 | 4375.2.a.o.1.7 | 28 | |||
25.17 | odd | 20 | 875.2.h.d.526.11 | 56 | |||
25.19 | even | 10 | inner | 175.2.n.a.169.3 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.n.a.29.3 | ✓ | 56 | 1.1 | even | 1 | trivial | |
175.2.n.a.169.3 | yes | 56 | 25.19 | even | 10 | inner | |
875.2.h.d.351.11 | 56 | 5.2 | odd | 4 | |||
875.2.h.d.526.11 | 56 | 25.17 | odd | 20 | |||
875.2.h.e.351.4 | 56 | 5.3 | odd | 4 | |||
875.2.h.e.526.4 | 56 | 25.8 | odd | 20 | |||
875.2.n.c.99.12 | 56 | 25.6 | even | 5 | |||
875.2.n.c.274.12 | 56 | 5.4 | even | 2 | |||
4375.2.a.o.1.7 | 28 | 25.13 | odd | 20 | |||
4375.2.a.p.1.22 | 28 | 25.12 | odd | 20 |