Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 415.3 | ||
Character | \(\chi\) | \(=\) | 722.415 |
Dual form | 722.2.e.r.595.3 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −0.415780 | + | 0.151331i | −0.240051 | + | 0.0873712i | −0.459244 | − | 0.888310i | \(-0.651880\pi\) |
0.219193 | + | 0.975681i | \(0.429657\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.154806 | + | 0.877948i | −0.0692313 | + | 0.392630i | 0.930427 | + | 0.366478i | \(0.119437\pi\) |
−0.999658 | + | 0.0261521i | \(0.991675\pi\) | |||||||
\(6\) | −0.415780 | − | 0.151331i | −0.169741 | − | 0.0617808i | ||||
\(7\) | −1.26007 | − | 2.18251i | −0.476263 | − | 0.824912i | 0.523367 | − | 0.852107i | \(-0.324676\pi\) |
−0.999630 | + | 0.0271956i | \(0.991342\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −2.14816 | + | 1.80252i | −0.716054 | + | 0.600841i | ||||
\(10\) | −0.682922 | + | 0.573040i | −0.215959 | + | 0.181211i | ||||
\(11\) | −0.975994 | + | 1.69047i | −0.294273 | + | 0.509696i | −0.974816 | − | 0.223012i | \(-0.928411\pi\) |
0.680542 | + | 0.732709i | \(0.261744\pi\) | |||||||
\(12\) | −0.221232 | − | 0.383185i | −0.0638641 | − | 0.110616i | ||||
\(13\) | −6.07009 | − | 2.20933i | −1.68354 | − | 0.612758i | −0.689751 | − | 0.724047i | \(-0.742280\pi\) |
−0.993788 | + | 0.111289i | \(0.964502\pi\) | |||||||
\(14\) | 0.437619 | − | 2.48186i | 0.116959 | − | 0.663305i | ||||
\(15\) | −0.0684959 | − | 0.388460i | −0.0176856 | − | 0.100300i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −2.62160 | − | 2.19979i | −0.635832 | − | 0.533527i | 0.266903 | − | 0.963723i | \(-0.414000\pi\) |
−0.902735 | + | 0.430197i | \(0.858444\pi\) | |||||||
\(18\) | −2.80423 | −0.660962 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −0.891491 | −0.199344 | ||||||||
\(21\) | 0.854195 | + | 0.716755i | 0.186401 | + | 0.156409i | ||||
\(22\) | −1.83427 | + | 0.667620i | −0.391068 | + | 0.142337i | ||||
\(23\) | 1.42132 | + | 8.06069i | 0.296365 | + | 1.68077i | 0.661602 | + | 0.749855i | \(0.269877\pi\) |
−0.365237 | + | 0.930915i | \(0.619012\pi\) | |||||||
\(24\) | 0.0768330 | − | 0.435741i | 0.0156835 | − | 0.0889454i | ||||
\(25\) | 3.95164 | + | 1.43828i | 0.790327 | + | 0.287656i | ||||
\(26\) | −3.22982 | − | 5.59422i | −0.633421 | − | 1.09712i | ||||
\(27\) | 1.28408 | − | 2.22409i | 0.247121 | − | 0.428026i | ||||
\(28\) | 1.93054 | − | 1.61992i | 0.364839 | − | 0.306136i | ||||
\(29\) | −3.50898 | + | 2.94438i | −0.651601 | + | 0.546758i | −0.907556 | − | 0.419931i | \(-0.862054\pi\) |
0.255955 | + | 0.966689i | \(0.417610\pi\) | |||||||
\(30\) | 0.197226 | − | 0.341606i | 0.0360084 | − | 0.0623684i | ||||
\(31\) | −4.39680 | − | 7.61548i | −0.789689 | − | 1.36778i | −0.926157 | − | 0.377137i | \(-0.876909\pi\) |
0.136468 | − | 0.990644i | \(-0.456425\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 0.149977 | − | 0.850563i | 0.0261077 | − | 0.148064i | ||||
\(34\) | −0.594269 | − | 3.37027i | −0.101916 | − | 0.577996i | ||||
\(35\) | 2.11120 | − | 0.768413i | 0.356858 | − | 0.129886i | ||||
\(36\) | −2.14816 | − | 1.80252i | −0.358027 | − | 0.300420i | ||||
\(37\) | 5.97980 | 0.983073 | 0.491536 | − | 0.870857i | \(-0.336436\pi\) | ||||
0.491536 | + | 0.870857i | \(0.336436\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.85816 | 0.457672 | ||||||||
\(40\) | −0.682922 | − | 0.573040i | −0.107979 | − | 0.0906055i | ||||
\(41\) | −3.27889 | + | 1.19342i | −0.512077 | + | 0.186381i | −0.585118 | − | 0.810948i | \(-0.698952\pi\) |
0.0730412 | + | 0.997329i | \(0.476730\pi\) | |||||||
\(42\) | 0.193630 | + | 1.09813i | 0.0298778 | + | 0.169446i | ||||
\(43\) | −1.08473 | + | 6.15179i | −0.165419 | + | 0.938139i | 0.783212 | + | 0.621755i | \(0.213580\pi\) |
−0.948631 | + | 0.316384i | \(0.897531\pi\) | |||||||
\(44\) | −1.83427 | − | 0.667620i | −0.276527 | − | 0.100647i | ||||
\(45\) | −1.24997 | − | 2.16501i | −0.186335 | − | 0.322741i | ||||
\(46\) | −4.09252 | + | 7.08845i | −0.603409 | + | 1.04514i | ||||
\(47\) | −8.08163 | + | 6.78129i | −1.17883 | + | 0.989153i | −0.178841 | + | 0.983878i | \(0.557235\pi\) |
−0.999986 | + | 0.00527527i | \(0.998321\pi\) | |||||||
\(48\) | 0.338947 | − | 0.284410i | 0.0489227 | − | 0.0410511i | ||||
\(49\) | 0.324429 | − | 0.561928i | 0.0463471 | − | 0.0802755i | ||||
\(50\) | 2.10262 | + | 3.64185i | 0.297356 | + | 0.515035i | ||||
\(51\) | 1.42291 | + | 0.517895i | 0.199247 | + | 0.0725199i | ||||
\(52\) | 1.12171 | − | 6.36151i | 0.155553 | − | 0.882183i | ||||
\(53\) | −0.653400 | − | 3.70561i | −0.0897514 | − | 0.509005i | −0.996230 | − | 0.0867532i | \(-0.972351\pi\) |
0.906478 | − | 0.422252i | \(-0.138760\pi\) | |||||||
\(54\) | 2.41328 | − | 0.878362i | 0.328406 | − | 0.119530i | ||||
\(55\) | −1.33306 | − | 1.11857i | −0.179749 | − | 0.150828i | ||||
\(56\) | 2.52015 | 0.336769 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.58064 | −0.601468 | ||||||||
\(59\) | −2.17680 | − | 1.82656i | −0.283396 | − | 0.237797i | 0.489998 | − | 0.871724i | \(-0.336998\pi\) |
−0.773393 | + | 0.633927i | \(0.781442\pi\) | |||||||
\(60\) | 0.370664 | − | 0.134911i | 0.0478525 | − | 0.0174169i | ||||
\(61\) | −0.426298 | − | 2.41765i | −0.0545818 | − | 0.309549i | 0.945278 | − | 0.326265i | \(-0.105790\pi\) |
−0.999860 | + | 0.0167158i | \(0.994679\pi\) | |||||||
\(62\) | 1.52699 | − | 8.66001i | 0.193928 | − | 1.09982i | ||||
\(63\) | 6.64087 | + | 2.41708i | 0.836670 | + | 0.304523i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 2.87936 | − | 4.98720i | 0.357141 | − | 0.618586i | ||||
\(66\) | 0.661620 | − | 0.555165i | 0.0814398 | − | 0.0683361i | ||||
\(67\) | 2.04734 | − | 1.71792i | 0.250122 | − | 0.209877i | −0.509103 | − | 0.860706i | \(-0.670023\pi\) |
0.759225 | + | 0.650828i | \(0.225578\pi\) | |||||||
\(68\) | 1.71113 | − | 2.96376i | 0.207505 | − | 0.359409i | ||||
\(69\) | −1.81079 | − | 3.13638i | −0.217994 | − | 0.377576i | ||||
\(70\) | 2.11120 | + | 0.768413i | 0.252336 | + | 0.0918429i | ||||
\(71\) | −0.00980077 | + | 0.0555829i | −0.00116314 | + | 0.00659648i | −0.985384 | − | 0.170349i | \(-0.945511\pi\) |
0.984221 | + | 0.176945i | \(0.0566216\pi\) | |||||||
\(72\) | −0.486949 | − | 2.76162i | −0.0573875 | − | 0.325460i | ||||
\(73\) | 6.54888 | − | 2.38360i | 0.766489 | − | 0.278979i | 0.0709617 | − | 0.997479i | \(-0.477393\pi\) |
0.695527 | + | 0.718500i | \(0.255171\pi\) | |||||||
\(74\) | 4.58079 | + | 3.84374i | 0.532506 | + | 0.446826i | ||||
\(75\) | −1.86067 | −0.214851 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.91930 | 0.560606 | ||||||||
\(78\) | 2.18948 | + | 1.83719i | 0.247909 | + | 0.208021i | ||||
\(79\) | −8.58091 | + | 3.12320i | −0.965428 | + | 0.351387i | −0.776158 | − | 0.630538i | \(-0.782834\pi\) |
−0.189270 | + | 0.981925i | \(0.560612\pi\) | |||||||
\(80\) | −0.154806 | − | 0.877948i | −0.0173078 | − | 0.0981575i | ||||
\(81\) | 1.26353 | − | 7.16582i | 0.140392 | − | 0.796202i | ||||
\(82\) | −3.27889 | − | 1.19342i | −0.362093 | − | 0.131791i | ||||
\(83\) | 7.06195 | + | 12.2317i | 0.775150 | + | 1.34260i | 0.934710 | + | 0.355411i | \(0.115659\pi\) |
−0.159561 | + | 0.987188i | \(0.551008\pi\) | |||||||
\(84\) | −0.557537 | + | 0.965682i | −0.0608322 | + | 0.105364i | ||||
\(85\) | 2.33714 | − | 1.96109i | 0.253498 | − | 0.212710i | ||||
\(86\) | −4.78524 | + | 4.01529i | −0.516006 | + | 0.432980i | ||||
\(87\) | 1.01338 | − | 1.75523i | 0.108646 | − | 0.188181i | ||||
\(88\) | −0.975994 | − | 1.69047i | −0.104041 | − | 0.180205i | ||||
\(89\) | 1.75510 | + | 0.638805i | 0.186040 | + | 0.0677132i | 0.433361 | − | 0.901221i | \(-0.357328\pi\) |
−0.247320 | + | 0.968934i | \(0.579550\pi\) | |||||||
\(90\) | 0.434111 | − | 2.46196i | 0.0457593 | − | 0.259514i | ||||
\(91\) | 2.82686 | + | 16.0319i | 0.296336 | + | 1.68060i | ||||
\(92\) | −7.69142 | + | 2.79945i | −0.801886 | + | 0.291863i | ||||
\(93\) | 2.98056 | + | 2.50099i | 0.309070 | + | 0.259341i | ||||
\(94\) | −10.5498 | −1.08813 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.442463 | 0.0451587 | ||||||||
\(97\) | −5.99377 | − | 5.02937i | −0.608576 | − | 0.510656i | 0.285614 | − | 0.958345i | \(-0.407803\pi\) |
−0.894189 | + | 0.447689i | \(0.852247\pi\) | |||||||
\(98\) | 0.609728 | − | 0.221923i | 0.0615918 | − | 0.0224176i | ||||
\(99\) | −0.950519 | − | 5.39066i | −0.0955307 | − | 0.541782i | ||||
\(100\) | −0.730233 | + | 4.14136i | −0.0730233 | + | 0.414136i | ||||
\(101\) | 5.06012 | + | 1.84173i | 0.503501 | + | 0.183259i | 0.581268 | − | 0.813712i | \(-0.302557\pi\) |
−0.0777670 | + | 0.996972i | \(0.524779\pi\) | |||||||
\(102\) | 0.757113 | + | 1.31136i | 0.0749653 | + | 0.129844i | ||||
\(103\) | −2.34734 | + | 4.06571i | −0.231290 | + | 0.400606i | −0.958188 | − | 0.286139i | \(-0.907628\pi\) |
0.726898 | + | 0.686746i | \(0.240961\pi\) | |||||||
\(104\) | 4.94838 | − | 4.15218i | 0.485228 | − | 0.407155i | ||||
\(105\) | −0.761508 | + | 0.638981i | −0.0743156 | + | 0.0623582i | ||||
\(106\) | 1.88139 | − | 3.25866i | 0.182737 | − | 0.316509i | ||||
\(107\) | 8.01864 | + | 13.8887i | 0.775191 | + | 1.34267i | 0.934687 | + | 0.355472i | \(0.115680\pi\) |
−0.159496 | + | 0.987199i | \(0.550987\pi\) | |||||||
\(108\) | 2.41328 | + | 0.878362i | 0.232218 | + | 0.0845204i | ||||
\(109\) | −2.44858 | + | 13.8866i | −0.234531 | + | 1.33009i | 0.609068 | + | 0.793118i | \(0.291544\pi\) |
−0.843599 | + | 0.536974i | \(0.819567\pi\) | |||||||
\(110\) | −0.302179 | − | 1.71374i | −0.0288117 | − | 0.163399i | ||||
\(111\) | −2.48628 | + | 0.904931i | −0.235987 | + | 0.0858923i | ||||
\(112\) | 1.93054 | + | 1.61992i | 0.182419 | + | 0.153068i | ||||
\(113\) | 12.7224 | 1.19682 | 0.598410 | − | 0.801190i | \(-0.295799\pi\) | ||||
0.598410 | + | 0.801190i | \(0.295799\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.29689 | −0.680439 | ||||||||
\(116\) | −3.50898 | − | 2.94438i | −0.325800 | − | 0.273379i | ||||
\(117\) | 17.0219 | − | 6.19546i | 1.57367 | − | 0.572771i | ||||
\(118\) | −0.493441 | − | 2.79845i | −0.0454250 | − | 0.257618i | ||||
\(119\) | −1.49765 | + | 8.49357i | −0.137289 | + | 0.778604i | ||||
\(120\) | 0.370664 | + | 0.134911i | 0.0338368 | + | 0.0123156i | ||||
\(121\) | 3.59487 | + | 6.22650i | 0.326806 | + | 0.566045i | ||||
\(122\) | 1.22747 | − | 2.12605i | 0.111130 | − | 0.192483i | ||||
\(123\) | 1.18269 | − | 0.992398i | 0.106640 | − | 0.0894815i | ||||
\(124\) | 6.73629 | − | 5.65242i | 0.604937 | − | 0.507602i | ||||
\(125\) | −4.10320 | + | 7.10695i | −0.367001 | + | 0.635665i | ||||
\(126\) | 3.53353 | + | 6.12026i | 0.314792 | + | 0.545236i | ||||
\(127\) | 6.74175 | + | 2.45380i | 0.598233 | + | 0.217739i | 0.623347 | − | 0.781945i | \(-0.285772\pi\) |
−0.0251135 | + | 0.999685i | \(0.507995\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −0.479952 | − | 2.72194i | −0.0422574 | − | 0.239654i | ||||
\(130\) | 5.41143 | − | 1.96960i | 0.474614 | − | 0.172745i | ||||
\(131\) | −2.69851 | − | 2.26432i | −0.235770 | − | 0.197834i | 0.517246 | − | 0.855837i | \(-0.326957\pi\) |
−0.753016 | + | 0.658002i | \(0.771402\pi\) | |||||||
\(132\) | 0.863684 | 0.0751740 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 2.67261 | 0.230878 | ||||||||
\(135\) | 1.75385 | + | 1.47166i | 0.150948 | + | 0.126660i | ||||
\(136\) | 3.21587 | − | 1.17048i | 0.275759 | − | 0.100368i | ||||
\(137\) | −1.91075 | − | 10.8364i | −0.163246 | − | 0.925814i | −0.950854 | − | 0.309638i | \(-0.899792\pi\) |
0.787608 | − | 0.616176i | \(-0.211319\pi\) | |||||||
\(138\) | 0.628881 | − | 3.56656i | 0.0535339 | − | 0.303606i | ||||
\(139\) | −20.4464 | − | 7.44188i | −1.73424 | − | 0.631212i | −0.735323 | − | 0.677716i | \(-0.762970\pi\) |
−0.998918 | + | 0.0465042i | \(0.985192\pi\) | |||||||
\(140\) | 1.12334 | + | 1.94569i | 0.0949400 | + | 0.164441i | ||||
\(141\) | 2.33395 | − | 4.04253i | 0.196554 | − | 0.340442i | ||||
\(142\) | −0.0432358 | + | 0.0362792i | −0.00362827 | + | 0.00304448i | ||||
\(143\) | 9.65918 | − | 8.10501i | 0.807741 | − | 0.677775i | ||||
\(144\) | 1.40211 | − | 2.42853i | 0.116843 | − | 0.202378i | ||||
\(145\) | −2.04180 | − | 3.53651i | −0.169562 | − | 0.293691i | ||||
\(146\) | 6.54888 | + | 2.38360i | 0.541989 | + | 0.197268i | ||||
\(147\) | −0.0498538 | + | 0.282735i | −0.00411187 | + | 0.0233196i | ||||
\(148\) | 1.03838 | + | 5.88895i | 0.0853544 | + | 0.484069i | ||||
\(149\) | −13.5218 | + | 4.92152i | −1.10775 | + | 0.403187i | −0.830166 | − | 0.557516i | \(-0.811755\pi\) |
−0.277580 | + | 0.960702i | \(0.589532\pi\) | |||||||
\(150\) | −1.42535 | − | 1.19601i | −0.116380 | − | 0.0976541i | ||||
\(151\) | −12.4068 | −1.00965 | −0.504824 | − | 0.863222i | \(-0.668443\pi\) | ||||
−0.504824 | + | 0.863222i | \(0.668443\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 9.59679 | 0.775855 | ||||||||
\(154\) | 3.76840 | + | 3.16206i | 0.303666 | + | 0.254806i | ||||
\(155\) | 7.36665 | − | 2.68124i | 0.591703 | − | 0.215362i | ||||
\(156\) | 0.496314 | + | 2.81474i | 0.0397369 | + | 0.225359i | ||||
\(157\) | −0.0783536 | + | 0.444365i | −0.00625330 | + | 0.0354642i | −0.987775 | − | 0.155888i | \(-0.950176\pi\) |
0.981521 | + | 0.191352i | \(0.0612872\pi\) | |||||||
\(158\) | −8.58091 | − | 3.12320i | −0.682661 | − | 0.248468i | ||||
\(159\) | 0.832446 | + | 1.44184i | 0.0660173 | + | 0.114345i | ||||
\(160\) | 0.445746 | − | 0.772054i | 0.0352393 | − | 0.0610362i | ||||
\(161\) | 15.8016 | − | 13.2591i | 1.24534 | − | 1.04496i | ||||
\(162\) | 5.57402 | − | 4.67716i | 0.437936 | − | 0.367472i | ||||
\(163\) | 0.0346271 | − | 0.0599759i | 0.00271220 | − | 0.00469768i | −0.864666 | − | 0.502347i | \(-0.832470\pi\) |
0.867378 | + | 0.497649i | \(0.165803\pi\) | |||||||
\(164\) | −1.74466 | − | 3.02184i | −0.136235 | − | 0.235966i | ||||
\(165\) | 0.723532 | + | 0.263344i | 0.0563269 | + | 0.0205013i | ||||
\(166\) | −2.45259 | + | 13.9093i | −0.190358 | + | 1.07957i | ||||
\(167\) | −0.377460 | − | 2.14068i | −0.0292087 | − | 0.165651i | 0.966714 | − | 0.255858i | \(-0.0823581\pi\) |
−0.995923 | + | 0.0902075i | \(0.971247\pi\) | |||||||
\(168\) | −1.04783 | + | 0.381377i | −0.0808415 | + | 0.0294239i | ||||
\(169\) | 22.0062 | + | 18.4654i | 1.69279 | + | 1.42042i | ||||
\(170\) | 3.05092 | 0.233995 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.24669 | −0.476306 | ||||||||
\(173\) | 12.9073 | + | 10.8305i | 0.981324 | + | 0.823429i | 0.984289 | − | 0.176567i | \(-0.0564992\pi\) |
−0.00296446 | + | 0.999996i | \(0.500944\pi\) | |||||||
\(174\) | 1.90454 | − | 0.693195i | 0.144383 | − | 0.0525510i | ||||
\(175\) | −1.84029 | − | 10.4368i | −0.139113 | − | 0.788950i | ||||
\(176\) | 0.338959 | − | 1.92233i | 0.0255500 | − | 0.144901i | ||||
\(177\) | 1.18149 | + | 0.430026i | 0.0888059 | + | 0.0323227i | ||||
\(178\) | 0.933870 | + | 1.61751i | 0.0699965 | + | 0.121238i | ||||
\(179\) | 9.48276 | − | 16.4246i | 0.708775 | − | 1.22763i | −0.256537 | − | 0.966534i | \(-0.582582\pi\) |
0.965312 | − | 0.261099i | \(-0.0840850\pi\) | |||||||
\(180\) | 1.91507 | − | 1.60693i | 0.142741 | − | 0.119774i | ||||
\(181\) | 1.52203 | − | 1.27714i | 0.113132 | − | 0.0949288i | −0.584467 | − | 0.811418i | \(-0.698696\pi\) |
0.697599 | + | 0.716489i | \(0.254252\pi\) | |||||||
\(182\) | −8.13963 | + | 14.0983i | −0.603350 | + | 1.04503i | ||||
\(183\) | 0.543113 | + | 0.940699i | 0.0401481 | + | 0.0695385i | ||||
\(184\) | −7.69142 | − | 2.79945i | −0.567019 | − | 0.206378i | ||||
\(185\) | −0.925708 | + | 5.24995i | −0.0680594 | + | 0.385984i | ||||
\(186\) | 0.675639 | + | 3.83174i | 0.0495402 | + | 0.280957i | ||||
\(187\) | 6.27735 | − | 2.28477i | 0.459045 | − | 0.167079i | ||||
\(188\) | −8.08163 | − | 6.78129i | −0.589413 | − | 0.494577i | ||||
\(189\) | −6.47214 | −0.470779 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.9259 | −1.51415 | −0.757074 | − | 0.653329i | \(-0.773372\pi\) | ||||
−0.757074 | + | 0.653329i | \(0.773372\pi\) | |||||||
\(192\) | 0.338947 | + | 0.284410i | 0.0244614 | + | 0.0205255i | ||||
\(193\) | 7.31907 | − | 2.66392i | 0.526838 | − | 0.191753i | −0.0648878 | − | 0.997893i | \(-0.520669\pi\) |
0.591726 | + | 0.806139i | \(0.298447\pi\) | |||||||
\(194\) | −1.35868 | − | 7.70545i | −0.0975474 | − | 0.553219i | ||||
\(195\) | −0.442460 | + | 2.50931i | −0.0316852 | + | 0.179696i | ||||
\(196\) | 0.609728 | + | 0.221923i | 0.0435520 | + | 0.0158516i | ||||
\(197\) | −0.912571 | − | 1.58062i | −0.0650180 | − | 0.112614i | 0.831684 | − | 0.555249i | \(-0.187377\pi\) |
−0.896702 | + | 0.442635i | \(0.854044\pi\) | |||||||
\(198\) | 2.73691 | − | 4.74047i | 0.194504 | − | 0.336890i | ||||
\(199\) | 1.80729 | − | 1.51650i | 0.128116 | − | 0.107502i | −0.576478 | − | 0.817112i | \(-0.695574\pi\) |
0.704594 | + | 0.709611i | \(0.251129\pi\) | |||||||
\(200\) | −3.22140 | + | 2.70308i | −0.227788 | + | 0.191136i | ||||
\(201\) | −0.591266 | + | 1.02410i | −0.0417047 | + | 0.0722346i | ||||
\(202\) | 2.69244 | + | 4.66343i | 0.189439 | + | 0.328118i | ||||
\(203\) | 10.8477 | + | 3.94825i | 0.761360 | + | 0.277113i | ||||
\(204\) | −0.262942 | + | 1.49122i | −0.0184097 | + | 0.104406i | ||||
\(205\) | −0.540168 | − | 3.06344i | −0.0377269 | − | 0.213960i | ||||
\(206\) | −4.41155 | + | 1.60567i | −0.307368 | + | 0.111873i | ||||
\(207\) | −17.5828 | − | 14.7537i | −1.22209 | − | 1.02545i | ||||
\(208\) | 6.45965 | 0.447896 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −0.994078 | −0.0685979 | ||||||||
\(211\) | 0.276581 | + | 0.232079i | 0.0190406 | + | 0.0159770i | 0.652258 | − | 0.757997i | \(-0.273822\pi\) |
−0.633218 | + | 0.773974i | \(0.718266\pi\) | |||||||
\(212\) | 3.53586 | − | 1.28695i | 0.242844 | − | 0.0883878i | ||||
\(213\) | −0.00433648 | − | 0.0245934i | −0.000297131 | − | 0.00168511i | ||||
\(214\) | −2.78484 | + | 15.7936i | −0.190368 | + | 1.07963i | ||||
\(215\) | −5.23303 | − | 1.90467i | −0.356889 | − | 0.129897i | ||||
\(216\) | 1.28408 | + | 2.22409i | 0.0873705 | + | 0.151330i | ||||
\(217\) | −11.0806 | + | 19.1921i | −0.752199 | + | 1.30285i | ||||
\(218\) | −10.8018 | + | 9.06381i | −0.731592 | + | 0.613879i | ||||
\(219\) | −2.36218 | + | 1.98210i | −0.159621 | + | 0.133938i | ||||
\(220\) | 0.870091 | − | 1.50704i | 0.0586615 | − | 0.101605i | ||||
\(221\) | 11.0533 | + | 19.1449i | 0.743525 | + | 1.28782i | ||||
\(222\) | −2.48628 | − | 0.904931i | −0.166868 | − | 0.0607350i | ||||
\(223\) | −3.13411 | + | 17.7744i | −0.209875 | + | 1.19026i | 0.679706 | + | 0.733485i | \(0.262108\pi\) |
−0.889581 | + | 0.456778i | \(0.849004\pi\) | |||||||
\(224\) | 0.437619 | + | 2.48186i | 0.0292396 | + | 0.165826i | ||||
\(225\) | −11.0813 | + | 4.03326i | −0.738752 | + | 0.268884i | ||||
\(226\) | 9.74590 | + | 8.17778i | 0.648288 | + | 0.543978i | ||||
\(227\) | −12.2845 | −0.815349 | −0.407675 | − | 0.913127i | \(-0.633660\pi\) | ||||
−0.407675 | + | 0.913127i | \(0.633660\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.79174 | 0.448811 | 0.224405 | − | 0.974496i | \(-0.427956\pi\) | ||||
0.224405 | + | 0.974496i | \(0.427956\pi\) | |||||||
\(230\) | −5.58974 | − | 4.69035i | −0.368577 | − | 0.309273i | ||||
\(231\) | −2.04534 | + | 0.744445i | −0.134574 | + | 0.0489809i | ||||
\(232\) | −0.795421 | − | 4.51105i | −0.0522219 | − | 0.296165i | ||||
\(233\) | 3.72117 | − | 21.1038i | 0.243782 | − | 1.38256i | −0.579523 | − | 0.814956i | \(-0.696761\pi\) |
0.823305 | − | 0.567600i | \(-0.192128\pi\) | |||||||
\(234\) | 17.0219 | + | 6.19546i | 1.11276 | + | 0.405010i | ||||
\(235\) | −4.70254 | − | 8.14503i | −0.306760 | − | 0.531323i | ||||
\(236\) | 1.42081 | − | 2.46091i | 0.0924867 | − | 0.160192i | ||||
\(237\) | 3.09513 | − | 2.59712i | 0.201050 | − | 0.168701i | ||||
\(238\) | −6.60683 | + | 5.54379i | −0.428257 | + | 0.359350i | ||||
\(239\) | 5.91881 | − | 10.2517i | 0.382856 | − | 0.663126i | −0.608613 | − | 0.793467i | \(-0.708274\pi\) |
0.991469 | + | 0.130341i | \(0.0416071\pi\) | |||||||
\(240\) | 0.197226 | + | 0.341606i | 0.0127309 | + | 0.0220506i | ||||
\(241\) | −20.4348 | − | 7.43767i | −1.31632 | − | 0.479103i | −0.414045 | − | 0.910256i | \(-0.635885\pi\) |
−0.902279 | + | 0.431154i | \(0.858107\pi\) | |||||||
\(242\) | −1.24849 | + | 7.08051i | −0.0802557 | + | 0.455152i | ||||
\(243\) | 1.89693 | + | 10.7580i | 0.121688 | + | 0.690129i | ||||
\(244\) | 2.30690 | − | 0.839642i | 0.147684 | − | 0.0537526i | ||||
\(245\) | 0.443120 | + | 0.371822i | 0.0283099 | + | 0.0237548i | ||||
\(246\) | 1.54390 | 0.0984353 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 8.79360 | 0.558394 | ||||||||
\(249\) | −4.78725 | − | 4.01698i | −0.303380 | − | 0.254566i | ||||
\(250\) | −7.71149 | + | 2.80675i | −0.487717 | + | 0.177515i | ||||
\(251\) | 4.10522 | + | 23.2819i | 0.259119 | + | 1.46954i | 0.785273 | + | 0.619149i | \(0.212522\pi\) |
−0.526154 | + | 0.850389i | \(0.676366\pi\) | |||||||
\(252\) | −1.22718 | + | 6.95970i | −0.0773052 | + | 0.438420i | ||||
\(253\) | −15.0136 | − | 5.46449i | −0.943895 | − | 0.343550i | ||||
\(254\) | 3.58721 | + | 6.21323i | 0.225082 | + | 0.389853i | ||||
\(255\) | −0.674959 | + | 1.16906i | −0.0422676 | + | 0.0732096i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 0.707418 | − | 0.593594i | 0.0441275 | − | 0.0370274i | −0.620457 | − | 0.784240i | \(-0.713053\pi\) |
0.664585 | + | 0.747213i | \(0.268608\pi\) | |||||||
\(258\) | 1.38197 | − | 2.39364i | 0.0860374 | − | 0.149021i | ||||
\(259\) | −7.53498 | − | 13.0510i | −0.468201 | − | 0.810948i | ||||
\(260\) | 5.41143 | + | 1.96960i | 0.335603 | + | 0.122149i | ||||
\(261\) | 2.23054 | − | 12.6500i | 0.138067 | − | 0.783016i | ||||
\(262\) | −0.611703 | − | 3.46914i | −0.0377911 | − | 0.214324i | ||||
\(263\) | −4.05917 | + | 1.47742i | −0.250299 | + | 0.0911013i | −0.464123 | − | 0.885771i | \(-0.653630\pi\) |
0.213824 | + | 0.976872i | \(0.431408\pi\) | |||||||
\(264\) | 0.661620 | + | 0.555165i | 0.0407199 | + | 0.0341681i | ||||
\(265\) | 3.35449 | 0.206064 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.826407 | −0.0505753 | ||||||||
\(268\) | 2.04734 | + | 1.71792i | 0.125061 | + | 0.104939i | ||||
\(269\) | −10.1443 | + | 3.69223i | −0.618510 | + | 0.225119i | −0.632223 | − | 0.774787i | \(-0.717857\pi\) |
0.0137127 | + | 0.999906i | \(0.495635\pi\) | |||||||
\(270\) | 0.397566 | + | 2.25471i | 0.0241951 | + | 0.137217i | ||||
\(271\) | 0.140176 | − | 0.794980i | 0.00851511 | − | 0.0482916i | −0.980254 | − | 0.197742i | \(-0.936639\pi\) |
0.988769 | + | 0.149450i | \(0.0477504\pi\) | |||||||
\(272\) | 3.21587 | + | 1.17048i | 0.194991 | + | 0.0709709i | ||||
\(273\) | −3.60149 | − | 6.23796i | −0.217972 | − | 0.377539i | ||||
\(274\) | 5.50177 | − | 9.52935i | 0.332374 | − | 0.575689i | ||||
\(275\) | −6.28814 | + | 5.27638i | −0.379189 | + | 0.318178i | ||||
\(276\) | 2.77429 | − | 2.32791i | 0.166993 | − | 0.140124i | ||||
\(277\) | 4.57434 | − | 7.92300i | 0.274846 | − | 0.476047i | −0.695250 | − | 0.718768i | \(-0.744707\pi\) |
0.970096 | + | 0.242721i | \(0.0780399\pi\) | |||||||
\(278\) | −10.8793 | − | 18.8435i | −0.652497 | − | 1.13016i | ||||
\(279\) | 23.1721 | + | 8.43396i | 1.38728 | + | 0.504928i | ||||
\(280\) | −0.390134 | + | 2.21256i | −0.0233149 | + | 0.132226i | ||||
\(281\) | −3.68408 | − | 20.8934i | −0.219774 | − | 1.24640i | −0.872428 | − | 0.488742i | \(-0.837456\pi\) |
0.652655 | − | 0.757656i | \(-0.273655\pi\) | |||||||
\(282\) | 4.38640 | − | 1.59652i | 0.261206 | − | 0.0950713i | ||||
\(283\) | 3.97566 | + | 3.33597i | 0.236328 | + | 0.198303i | 0.753259 | − | 0.657725i | \(-0.228481\pi\) |
−0.516930 | + | 0.856028i | \(0.672925\pi\) | |||||||
\(284\) | −0.0564404 | −0.00334912 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.6092 | 0.745596 | ||||||||
\(287\) | 6.73629 | + | 5.65242i | 0.397631 | + | 0.333652i | ||||
\(288\) | 2.63511 | − | 0.959102i | 0.155275 | − | 0.0565156i | ||||
\(289\) | −0.918275 | − | 5.20780i | −0.0540162 | − | 0.306341i | ||||
\(290\) | 0.709111 | − | 4.02157i | 0.0416404 | − | 0.236155i | ||||
\(291\) | 3.25319 | + | 1.18406i | 0.190705 | + | 0.0694111i | ||||
\(292\) | 3.48459 | + | 6.03548i | 0.203920 | + | 0.353200i | ||||
\(293\) | −8.78298 | + | 15.2126i | −0.513107 | + | 0.888728i | 0.486777 | + | 0.873526i | \(0.338172\pi\) |
−0.999884 | + | 0.0152018i | \(0.995161\pi\) | |||||||
\(294\) | −0.219929 | + | 0.184542i | −0.0128265 | + | 0.0107627i | ||||
\(295\) | 1.94060 | − | 1.62836i | 0.112986 | − | 0.0948067i | ||||
\(296\) | −2.98990 | + | 5.17866i | −0.173784 | + | 0.301003i | ||||
\(297\) | 2.50651 | + | 4.34140i | 0.145442 | + | 0.251914i | ||||
\(298\) | −13.5218 | − | 4.92152i | −0.783295 | − | 0.285096i | ||||
\(299\) | 9.18121 | − | 52.0692i | 0.530963 | − | 3.01124i | ||||
\(300\) | −0.323101 | − | 1.83240i | −0.0186543 | − | 0.105794i | ||||
\(301\) | 14.7932 | − | 5.38428i | 0.852665 | − | 0.310345i | ||||
\(302\) | −9.50413 | − | 7.97491i | −0.546901 | − | 0.458904i | ||||
\(303\) | −2.38261 | −0.136877 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.18857 | 0.125317 | ||||||||
\(306\) | 7.35157 | + | 6.16870i | 0.420261 | + | 0.352641i | ||||
\(307\) | −20.2676 | + | 7.37681i | −1.15673 | + | 0.421017i | −0.847930 | − | 0.530108i | \(-0.822151\pi\) |
−0.308805 | + | 0.951125i | \(0.599929\pi\) | |||||||
\(308\) | 0.854227 | + | 4.84456i | 0.0486741 | + | 0.276045i | ||||
\(309\) | 0.360706 | − | 2.04567i | 0.0205199 | − | 0.116374i | ||||
\(310\) | 7.36665 | + | 2.68124i | 0.418398 | + | 0.152284i | ||||
\(311\) | 1.28684 | + | 2.22887i | 0.0729701 | + | 0.126388i | 0.900202 | − | 0.435473i | \(-0.143419\pi\) |
−0.827232 | + | 0.561861i | \(0.810086\pi\) | |||||||
\(312\) | −1.42908 | + | 2.47524i | −0.0809057 | + | 0.140133i | ||||
\(313\) | −3.97109 | + | 3.33214i | −0.224459 | + | 0.188344i | −0.748081 | − | 0.663607i | \(-0.769025\pi\) |
0.523622 | + | 0.851951i | \(0.324580\pi\) | |||||||
\(314\) | −0.345655 | + | 0.290039i | −0.0195064 | + | 0.0163678i | ||||
\(315\) | −3.15011 | + | 5.45616i | −0.177489 | + | 0.307420i | ||||
\(316\) | −4.56581 | − | 7.90821i | −0.256847 | − | 0.444872i | ||||
\(317\) | −19.0346 | − | 6.92801i | −1.06909 | − | 0.389116i | −0.253252 | − | 0.967400i | \(-0.581500\pi\) |
−0.815835 | + | 0.578284i | \(0.803722\pi\) | |||||||
\(318\) | −0.289106 | + | 1.63960i | −0.0162122 | + | 0.0919441i | ||||
\(319\) | −1.55265 | − | 8.80553i | −0.0869318 | − | 0.493015i | ||||
\(320\) | 0.837728 | − | 0.304908i | 0.0468304 | − | 0.0170449i | ||||
\(321\) | −5.43578 | − | 4.56116i | −0.303396 | − | 0.254579i | ||||
\(322\) | 20.6275 | 1.14953 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 7.27636 | 0.404242 | ||||||||
\(325\) | −20.8091 | − | 17.4609i | −1.15428 | − | 0.968559i | ||||
\(326\) | 0.0650777 | − | 0.0236863i | 0.00360432 | − | 0.00131186i | ||||
\(327\) | −1.08341 | − | 6.14430i | −0.0599125 | − | 0.339781i | ||||
\(328\) | 0.605914 | − | 3.43631i | 0.0334560 | − | 0.189739i | ||||
\(329\) | 24.9837 | + | 9.09332i | 1.37740 | + | 0.501331i | ||||
\(330\) | 0.384983 | + | 0.666811i | 0.0211926 | + | 0.0367067i | ||||
\(331\) | −10.6640 | + | 18.4706i | −0.586146 | + | 1.01523i | 0.408585 | + | 0.912720i | \(0.366022\pi\) |
−0.994731 | + | 0.102515i | \(0.967311\pi\) | |||||||
\(332\) | −10.8195 | + | 9.07867i | −0.593799 | + | 0.498257i | ||||
\(333\) | −12.8456 | + | 10.7787i | −0.703933 | + | 0.590670i | ||||
\(334\) | 1.08685 | − | 1.88248i | 0.0594699 | − | 0.103005i | ||||
\(335\) | 1.19130 | + | 2.06340i | 0.0650879 | + | 0.112736i | ||||
\(336\) | −1.04783 | − | 0.381377i | −0.0571636 | − | 0.0208058i | ||||
\(337\) | 3.94658 | − | 22.3822i | 0.214984 | − | 1.21924i | −0.665950 | − | 0.745996i | \(-0.731974\pi\) |
0.880934 | − | 0.473239i | \(-0.156915\pi\) | |||||||
\(338\) | 4.98840 | + | 28.2906i | 0.271333 | + | 1.53881i | ||||
\(339\) | −5.28970 | + | 1.92529i | −0.287297 | + | 0.104568i | ||||
\(340\) | 2.33714 | + | 1.96109i | 0.126749 | + | 0.106355i | ||||
\(341\) | 17.1650 | 0.929538 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.2762 | −1.04082 | ||||||||
\(344\) | −4.78524 | − | 4.01529i | −0.258003 | − | 0.216490i | ||||
\(345\) | 3.03390 | − | 1.10425i | 0.163340 | − | 0.0594508i | ||||
\(346\) | 2.92585 | + | 16.5933i | 0.157295 | + | 0.892062i | ||||
\(347\) | −0.855834 | + | 4.85368i | −0.0459436 | + | 0.260559i | −0.999124 | − | 0.0418425i | \(-0.986677\pi\) |
0.953181 | + | 0.302402i | \(0.0977883\pi\) | |||||||
\(348\) | 1.90454 | + | 0.693195i | 0.102094 | + | 0.0371592i | ||||
\(349\) | −13.0808 | − | 22.6565i | −0.700197 | − | 1.21278i | −0.968397 | − | 0.249413i | \(-0.919762\pi\) |
0.268201 | − | 0.963363i | \(-0.413571\pi\) | |||||||
\(350\) | 5.29892 | − | 9.17799i | 0.283239 | − | 0.490584i | ||||
\(351\) | −12.7082 | + | 10.6635i | −0.678315 | + | 0.569173i | ||||
\(352\) | 1.49531 | − | 1.25471i | 0.0797003 | − | 0.0668765i | ||||
\(353\) | −1.35407 | + | 2.34531i | −0.0720697 | + | 0.124828i | −0.899808 | − | 0.436286i | \(-0.856294\pi\) |
0.827739 | + | 0.561114i | \(0.189627\pi\) | |||||||
\(354\) | 0.628656 | + | 1.08886i | 0.0334127 | + | 0.0578724i | ||||
\(355\) | −0.0472817 | − | 0.0172091i | −0.00250945 | − | 0.000913366i | ||||
\(356\) | −0.324330 | + | 1.83937i | −0.0171894 | + | 0.0974862i | ||||
\(357\) | −0.662654 | − | 3.75810i | −0.0350713 | − | 0.198899i | ||||
\(358\) | 17.8218 | − | 6.48659i | 0.941909 | − | 0.342827i | ||||
\(359\) | −7.13189 | − | 5.98437i | −0.376407 | − | 0.315843i | 0.434883 | − | 0.900487i | \(-0.356790\pi\) |
−0.811290 | + | 0.584644i | \(0.801234\pi\) | |||||||
\(360\) | 2.49994 | 0.131759 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 1.98687 | 0.104428 | ||||||||
\(363\) | −2.43694 | − | 2.04483i | −0.127906 | − | 0.107326i | ||||
\(364\) | −15.2975 | + | 5.56784i | −0.801807 | + | 0.291834i | ||||
\(365\) | 1.07887 | + | 6.11857i | 0.0564706 | + | 0.320261i | ||||
\(366\) | −0.188621 | + | 1.06972i | −0.00985938 | + | 0.0559153i | ||||
\(367\) | −7.28677 | − | 2.65217i | −0.380366 | − | 0.138442i | 0.144759 | − | 0.989467i | \(-0.453759\pi\) |
−0.525125 | + | 0.851025i | \(0.675982\pi\) | |||||||
\(368\) | −4.09252 | − | 7.08845i | −0.213337 | − | 0.369511i | ||||
\(369\) | 4.89242 | − | 8.47393i | 0.254689 | − | 0.441135i | ||||
\(370\) | −4.08374 | + | 3.42666i | −0.212303 | + | 0.178144i | ||||
\(371\) | −7.26421 | + | 6.09540i | −0.377139 | + | 0.316457i | ||||
\(372\) | −1.94542 | + | 3.36957i | −0.100866 | + | 0.174704i | ||||
\(373\) | −12.5062 | − | 21.6614i | −0.647546 | − | 1.12158i | −0.983707 | − | 0.179778i | \(-0.942462\pi\) |
0.336161 | − | 0.941804i | \(-0.390871\pi\) | |||||||
\(374\) | 6.27735 | + | 2.28477i | 0.324594 | + | 0.118143i | ||||
\(375\) | 0.630522 | − | 3.57587i | 0.0325600 | − | 0.184657i | ||||
\(376\) | −1.83196 | − | 10.3895i | −0.0944760 | − | 0.535800i | ||||
\(377\) | 27.8049 | − | 10.1202i | 1.43203 | − | 0.521215i | ||||
\(378\) | −4.95794 | − | 4.16021i | −0.255009 | − | 0.213978i | ||||
\(379\) | −19.1802 | −0.985222 | −0.492611 | − | 0.870250i | \(-0.663957\pi\) | ||||
−0.492611 | + | 0.870250i | \(0.663957\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.17442 | −0.162630 | ||||||||
\(382\) | −16.0302 | − | 13.4509i | −0.820176 | − | 0.688209i | ||||
\(383\) | −4.54171 | + | 1.65305i | −0.232071 | + | 0.0844668i | −0.455438 | − | 0.890268i | \(-0.650517\pi\) |
0.223367 | + | 0.974734i | \(0.428295\pi\) | |||||||
\(384\) | 0.0768330 | + | 0.435741i | 0.00392087 | + | 0.0222363i | ||||
\(385\) | −0.761536 | + | 4.31889i | −0.0388115 | + | 0.220111i | ||||
\(386\) | 7.31907 | + | 2.66392i | 0.372531 | + | 0.135590i | ||||
\(387\) | −8.75856 | − | 15.1703i | −0.445223 | − | 0.771149i | ||||
\(388\) | 3.91216 | − | 6.77606i | 0.198610 | − | 0.344002i | ||||
\(389\) | 16.6455 | − | 13.9672i | 0.843959 | − | 0.708166i | −0.114492 | − | 0.993424i | \(-0.536524\pi\) |
0.958451 | + | 0.285259i | \(0.0920795\pi\) | |||||||
\(390\) | −1.95190 | + | 1.63784i | −0.0988383 | + | 0.0829352i | ||||
\(391\) | 14.0057 | − | 24.2585i | 0.708297 | − | 1.22681i | ||||
\(392\) | 0.324429 | + | 0.561928i | 0.0163862 | + | 0.0283817i | ||||
\(393\) | 1.46465 | + | 0.533088i | 0.0738817 | + | 0.0268907i | ||||
\(394\) | 0.316933 | − | 1.79741i | 0.0159668 | − | 0.0905524i | ||||
\(395\) | −1.41363 | − | 8.01708i | −0.0711273 | − | 0.403383i | ||||
\(396\) | 5.14371 | − | 1.87216i | 0.258481 | − | 0.0940794i | ||||
\(397\) | 8.97345 | + | 7.52962i | 0.450365 | + | 0.377901i | 0.839571 | − | 0.543250i | \(-0.182806\pi\) |
−0.389206 | + | 0.921151i | \(0.627251\pi\) | |||||||
\(398\) | 2.35926 | 0.118259 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.20524 | −0.210262 | ||||||||
\(401\) | 9.04878 | + | 7.59283i | 0.451874 | + | 0.379168i | 0.840131 | − | 0.542384i | \(-0.182478\pi\) |
−0.388256 | + | 0.921551i | \(0.626923\pi\) | |||||||
\(402\) | −1.11122 | + | 0.404450i | −0.0554225 | + | 0.0201721i | ||||
\(403\) | 9.86384 | + | 55.9406i | 0.491353 | + | 2.78660i | ||||
\(404\) | −0.935073 | + | 5.30306i | −0.0465216 | + | 0.263837i | ||||
\(405\) | 6.09561 | + | 2.21862i | 0.302893 | + | 0.110244i | ||||
\(406\) | 5.77195 | + | 9.99731i | 0.286457 | + | 0.496158i | ||||
\(407\) | −5.83625 | + | 10.1087i | −0.289292 | + | 0.501069i | ||||
\(408\) | −1.15996 | + | 0.973325i | −0.0574268 | + | 0.0481868i | ||||
\(409\) | −19.3551 | + | 16.2408i | −0.957047 | + | 0.803058i | −0.980470 | − | 0.196668i | \(-0.936988\pi\) |
0.0234228 | + | 0.999726i | \(0.492544\pi\) | |||||||
\(410\) | 1.55535 | − | 2.69395i | 0.0768133 | − | 0.133045i | ||||
\(411\) | 2.43433 | + | 4.21639i | 0.120077 | + | 0.207979i | ||||
\(412\) | −4.41155 | − | 1.60567i | −0.217342 | − | 0.0791059i | ||||
\(413\) | −1.24354 | + | 7.05249i | −0.0611908 | + | 0.347030i | ||||
\(414\) | −3.98569 | − | 22.6040i | −0.195886 | − | 1.11093i | ||||
\(415\) | −11.8320 | + | 4.30649i | −0.580809 | + | 0.211397i | ||||
\(416\) | 4.94838 | + | 4.15218i | 0.242614 | + | 0.203578i | ||||
\(417\) | 9.62739 | 0.471455 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 31.6143 | 1.54446 | 0.772229 | − | 0.635344i | \(-0.219142\pi\) | ||||
0.772229 | + | 0.635344i | \(0.219142\pi\) | |||||||
\(420\) | −0.761508 | − | 0.638981i | −0.0371578 | − | 0.0311791i | ||||
\(421\) | −2.05766 | + | 0.748928i | −0.100284 | + | 0.0365005i | −0.391675 | − | 0.920104i | \(-0.628104\pi\) |
0.291391 | + | 0.956604i | \(0.405882\pi\) | |||||||
\(422\) | 0.0626957 | + | 0.355565i | 0.00305198 | + | 0.0173086i | ||||
\(423\) | 5.13722 | − | 29.1346i | 0.249780 | − | 1.41657i | ||||
\(424\) | 3.53586 | + | 1.28695i | 0.171716 | + | 0.0624996i | ||||
\(425\) | −7.19572 | − | 12.4633i | −0.349044 | − | 0.604561i | ||||
\(426\) | 0.0124864 | − | 0.0216271i | 0.000604968 | − | 0.00104784i | ||||
\(427\) | −4.73939 | + | 3.97682i | −0.229355 | + | 0.192452i | ||||
\(428\) | −12.2853 | + | 10.3086i | −0.593831 | + | 0.498283i | ||||
\(429\) | −2.78955 | + | 4.83164i | −0.134681 | + | 0.233274i | ||||
\(430\) | −2.78444 | − | 4.82278i | −0.134277 | − | 0.232575i | ||||
\(431\) | −1.69494 | − | 0.616907i | −0.0816423 | − | 0.0297154i | 0.300876 | − | 0.953663i | \(-0.402721\pi\) |
−0.382518 | + | 0.923948i | \(0.624943\pi\) | |||||||
\(432\) | −0.445956 | + | 2.52914i | −0.0214561 | + | 0.121683i | ||||
\(433\) | 1.14127 | + | 6.47248i | 0.0548461 | + | 0.311048i | 0.999873 | − | 0.0159454i | \(-0.00507579\pi\) |
−0.945027 | + | 0.326993i | \(0.893965\pi\) | |||||||
\(434\) | −20.8247 | + | 7.57957i | −0.999617 | + | 0.363831i | ||||
\(435\) | 1.38412 | + | 1.16142i | 0.0663637 | + | 0.0556858i | ||||
\(436\) | −14.1008 | −0.675305 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −3.08361 | −0.147340 | ||||||||
\(439\) | 6.99444 | + | 5.86903i | 0.333827 | + | 0.280114i | 0.794257 | − | 0.607582i | \(-0.207860\pi\) |
−0.460430 | + | 0.887696i | \(0.652305\pi\) | |||||||
\(440\) | 1.63524 | − | 0.595177i | 0.0779568 | − | 0.0283740i | ||||
\(441\) | 0.315961 | + | 1.79190i | 0.0150458 | + | 0.0853288i | ||||
\(442\) | −3.83877 | + | 21.7708i | −0.182592 | + | 1.03553i | ||||
\(443\) | 25.8120 | + | 9.39482i | 1.22637 | + | 0.446361i | 0.872352 | − | 0.488878i | \(-0.162594\pi\) |
0.354015 | + | 0.935240i | \(0.384816\pi\) | |||||||
\(444\) | −1.32292 | − | 2.29137i | −0.0627830 | − | 0.108743i | ||||
\(445\) | −0.832538 | + | 1.44200i | −0.0394661 | + | 0.0683572i | ||||
\(446\) | −13.8260 | + | 11.6014i | −0.654682 | + | 0.549343i | ||||
\(447\) | 4.87730 | − | 4.09254i | 0.230688 | − | 0.193570i | ||||
\(448\) | −1.26007 | + | 2.18251i | −0.0595329 | + | 0.103114i | ||||
\(449\) | −3.78646 | − | 6.55835i | −0.178694 | − | 0.309508i | 0.762739 | − | 0.646706i | \(-0.223854\pi\) |
−0.941434 | + | 0.337199i | \(0.890521\pi\) | |||||||
\(450\) | −11.0813 | − | 4.03326i | −0.522377 | − | 0.190130i | ||||
\(451\) | 1.18274 | − | 6.70764i | 0.0556930 | − | 0.315851i | ||||
\(452\) | 2.20922 | + | 12.5291i | 0.103913 | + | 0.589319i | ||||
\(453\) | 5.15848 | − | 1.87753i | 0.242366 | − | 0.0882142i | ||||
\(454\) | −9.41045 | − | 7.89631i | −0.441655 | − | 0.370592i | ||||
\(455\) | −14.5128 | −0.680372 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −21.7675 | −1.01824 | −0.509120 | − | 0.860696i | \(-0.670029\pi\) | ||||
−0.509120 | + | 0.860696i | \(0.670029\pi\) | |||||||
\(458\) | 5.20277 | + | 4.36565i | 0.243110 | + | 0.203993i | ||||
\(459\) | −8.25887 | + | 3.00598i | −0.385491 | + | 0.140307i | ||||
\(460\) | −1.26709 | − | 7.18604i | −0.0590785 | − | 0.335051i | ||||
\(461\) | 2.07412 | − | 11.7629i | 0.0966014 | − | 0.547854i | −0.897643 | − | 0.440722i | \(-0.854722\pi\) |
0.994245 | − | 0.107131i | \(-0.0341666\pi\) | |||||||
\(462\) | −2.04534 | − | 0.744445i | −0.0951580 | − | 0.0346347i | ||||
\(463\) | 4.37685 | + | 7.58093i | 0.203410 | + | 0.352316i | 0.949625 | − | 0.313389i | \(-0.101464\pi\) |
−0.746215 | + | 0.665705i | \(0.768131\pi\) | |||||||
\(464\) | 2.29032 | − | 3.96695i | 0.106326 | − | 0.184161i | ||||
\(465\) | −2.65715 | + | 2.22961i | −0.123222 | + | 0.103396i | ||||
\(466\) | 16.4158 | − | 13.7745i | 0.760449 | − | 0.638092i | ||||
\(467\) | −14.6784 | + | 25.4238i | −0.679236 | + | 1.17647i | 0.295975 | + | 0.955196i | \(0.404355\pi\) |
−0.975211 | + | 0.221276i | \(0.928978\pi\) | |||||||
\(468\) | 9.05716 | + | 15.6875i | 0.418667 | + | 0.725153i | ||||
\(469\) | −6.32918 | − | 2.30363i | −0.292254 | − | 0.106372i | ||||
\(470\) | 1.63317 | − | 9.26219i | 0.0753327 | − | 0.427233i | ||||
\(471\) | −0.0346686 | − | 0.196615i | −0.00159744 | − | 0.00905956i | ||||
\(472\) | 2.67025 | − | 0.971890i | 0.122908 | − | 0.0447349i | ||||
\(473\) | −9.34074 | − | 7.83781i | −0.429488 | − | 0.360383i | ||||
\(474\) | 4.04041 | 0.185582 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.62460 | −0.395308 | ||||||||
\(477\) | 8.08306 | + | 6.78249i | 0.370098 | + | 0.310549i | ||||
\(478\) | 11.1237 | − | 4.04871i | 0.508788 | − | 0.185184i | ||||
\(479\) | −4.31871 | − | 24.4926i | −0.197327 | − | 1.11910i | −0.909066 | − | 0.416652i | \(-0.863203\pi\) |
0.711739 | − | 0.702444i | \(-0.247908\pi\) | |||||||
\(480\) | −0.0684959 | + | 0.388460i | −0.00312640 | + | 0.0177307i | ||||
\(481\) | −36.2979 | − | 13.2113i | −1.65504 | − | 0.602386i | ||||
\(482\) | −10.8732 | − | 18.8329i | −0.495259 | − | 0.857813i | ||||
\(483\) | −4.56346 | + | 7.90414i | −0.207645 | + | 0.359651i | ||||
\(484\) | −5.50766 | + | 4.62148i | −0.250348 | + | 0.210067i | ||||
\(485\) | 5.34340 | − | 4.48364i | 0.242631 | − | 0.203592i | ||||
\(486\) | −5.46200 | + | 9.46046i | −0.247761 | + | 0.429135i | ||||
\(487\) | −4.26883 | − | 7.39383i | −0.193439 | − | 0.335046i | 0.752949 | − | 0.658079i | \(-0.228631\pi\) |
−0.946388 | + | 0.323033i | \(0.895298\pi\) | |||||||
\(488\) | 2.30690 | + | 0.839642i | 0.104428 | + | 0.0380088i | ||||
\(489\) | −0.00532101 | + | 0.0301769i | −0.000240624 | + | 0.00136465i | ||||
\(490\) | 0.100447 | + | 0.569664i | 0.00453774 | + | 0.0257348i | ||||
\(491\) | 10.8438 | − | 3.94681i | 0.489373 | − | 0.178117i | −0.0855352 | − | 0.996335i | \(-0.527260\pi\) |
0.574908 | + | 0.818218i | \(0.305038\pi\) | |||||||
\(492\) | 1.18269 | + | 0.992398i | 0.0533200 | + | 0.0447408i | ||||
\(493\) | 15.6762 | 0.706019 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.87986 | 0.219333 | ||||||||
\(496\) | 6.73629 | + | 5.65242i | 0.302468 | + | 0.253801i | ||||
\(497\) | 0.133660 | − | 0.0486483i | 0.00599547 | − | 0.00218217i | ||||
\(498\) | −1.08518 | − | 6.15437i | −0.0486281 | − | 0.275784i | ||||
\(499\) | −5.14156 | + | 29.1592i | −0.230168 | + | 1.30535i | 0.622388 | + | 0.782709i | \(0.286163\pi\) |
−0.852555 | + | 0.522637i | \(0.824948\pi\) | |||||||
\(500\) | −7.71149 | − | 2.80675i | −0.344868 | − | 0.125522i | ||||
\(501\) | 0.480893 | + | 0.832931i | 0.0214847 | + | 0.0372126i | ||||
\(502\) | −11.8205 | + | 20.4737i | −0.527575 | + | 0.913787i | ||||
\(503\) | 4.49536 | − | 3.77205i | 0.200438 | − | 0.168187i | −0.537044 | − | 0.843554i | \(-0.680459\pi\) |
0.737482 | + | 0.675367i | \(0.236015\pi\) | |||||||
\(504\) | −5.41368 | + | 4.54262i | −0.241145 | + | 0.202344i | ||||
\(505\) | −2.40028 | + | 4.15741i | −0.106811 | + | 0.185002i | ||||
\(506\) | −7.98855 | − | 13.8366i | −0.355135 | − | 0.615111i | ||||
\(507\) | −11.9441 | − | 4.34731i | −0.530458 | − | 0.193071i | ||||
\(508\) | −1.24582 | + | 7.06542i | −0.0552745 | + | 0.313477i | ||||
\(509\) | −4.43996 | − | 25.1802i | −0.196798 | − | 1.11609i | −0.909835 | − | 0.414969i | \(-0.863792\pi\) |
0.713038 | − | 0.701125i | \(-0.247319\pi\) | |||||||
\(510\) | −1.26851 | + | 0.461699i | −0.0561705 | + | 0.0204444i | ||||
\(511\) | −13.4543 | − | 11.2895i | −0.595183 | − | 0.499418i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.923469 | 0.0407325 | ||||||||
\(515\) | −3.20610 | − | 2.69024i | −0.141278 | − | 0.118546i | ||||
\(516\) | 2.59725 | − | 0.945320i | 0.114337 | − | 0.0416154i | ||||
\(517\) | −3.57596 | − | 20.2803i | −0.157271 | − | 0.891925i | ||||
\(518\) | 2.61687 | − | 14.8410i | 0.114979 | − | 0.652077i | ||||
\(519\) | −7.00559 | − | 2.54983i | −0.307511 | − | 0.111925i | ||||
\(520\) | 2.87936 | + | 4.98720i | 0.126268 | + | 0.218703i | ||||
\(521\) | 7.01661 | − | 12.1531i | 0.307403 | − | 0.532438i | −0.670390 | − | 0.742009i | \(-0.733873\pi\) |
0.977794 | + | 0.209571i | \(0.0672066\pi\) | |||||||
\(522\) | 9.83997 | − | 8.25671i | 0.430684 | − | 0.361386i | ||||
\(523\) | 23.8074 | − | 19.9768i | 1.04103 | − | 0.873525i | 0.0489047 | − | 0.998803i | \(-0.484427\pi\) |
0.992122 | + | 0.125279i | \(0.0399825\pi\) | |||||||
\(524\) | 1.76133 | − | 3.05071i | 0.0769439 | − | 0.133271i | ||||
\(525\) | 2.34458 | + | 4.06093i | 0.102326 | + | 0.177233i | ||||
\(526\) | −4.05917 | − | 1.47742i | −0.176988 | − | 0.0644184i | ||||
\(527\) | −5.22577 | + | 29.6368i | −0.227638 | + | 1.29100i | ||||
\(528\) | 0.149977 | + | 0.850563i | 0.00652692 | + | 0.0370160i | ||||
\(529\) | −41.3417 | + | 15.0471i | −1.79746 | + | 0.654223i | ||||
\(530\) | 2.56969 | + | 2.15622i | 0.111620 | + | 0.0936603i | ||||
\(531\) | 7.96853 | 0.345805 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.5398 | 0.976307 | ||||||||
\(534\) | −0.633065 | − | 0.531204i | −0.0273954 | − | 0.0229875i | ||||
\(535\) | −13.4349 | + | 4.88989i | −0.580840 | + | 0.211409i | ||||
\(536\) | 0.464094 | + | 2.63201i | 0.0200458 | + | 0.113685i | ||||
\(537\) | −1.45718 | + | 8.26406i | −0.0628818 | + | 0.356621i | ||||
\(538\) | −10.1443 | − | 3.69223i | −0.437353 | − | 0.159183i | ||||
\(539\) | 0.633283 | + | 1.09688i | 0.0272774 | + | 0.0472459i | ||||
\(540\) | −1.14475 | + | 1.98276i | −0.0492620 | + | 0.0853243i | ||||
\(541\) | 2.21852 | − | 1.86156i | 0.0953818 | − | 0.0800349i | −0.593850 | − | 0.804576i | \(-0.702393\pi\) |
0.689232 | + | 0.724541i | \(0.257948\pi\) | |||||||
\(542\) | 0.618384 | − | 0.518886i | 0.0265619 | − | 0.0222881i | ||||
\(543\) | −0.439559 | + | 0.761338i | −0.0188633 | + | 0.0326722i | ||||
\(544\) | 1.71113 | + | 2.96376i | 0.0733641 | + | 0.127070i | ||||
\(545\) | −11.8126 | − | 4.29944i | −0.505997 | − | 0.184168i | ||||
\(546\) | 1.25078 | − | 7.09355i | 0.0535286 | − | 0.303576i | ||||
\(547\) | 5.27649 | + | 29.9245i | 0.225607 | + | 1.27948i | 0.861522 | + | 0.507720i | \(0.169511\pi\) |
−0.635916 | + | 0.771759i | \(0.719377\pi\) | |||||||
\(548\) | 10.3400 | − | 3.76343i | 0.441701 | − | 0.160766i | ||||
\(549\) | 5.27363 | + | 4.42510i | 0.225073 | + | 0.188859i | ||||
\(550\) | −8.20859 | −0.350015 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 3.62158 | 0.154145 | ||||||||
\(553\) | 17.6290 | + | 14.7925i | 0.749661 | + | 0.629040i | ||||
\(554\) | 8.59696 | − | 3.12904i | 0.365250 | − | 0.132940i | ||||
\(555\) | −0.409592 | − | 2.32291i | −0.0173862 | − | 0.0986021i | ||||
\(556\) | 3.77834 | − | 21.4280i | 0.160237 | − | 0.908752i | ||||
\(557\) | 5.76419 | + | 2.09799i | 0.244237 | + | 0.0888949i | 0.461238 | − | 0.887276i | \(-0.347405\pi\) |
−0.217001 | + | 0.976171i | \(0.569628\pi\) | |||||||
\(558\) | 12.3296 | + | 21.3555i | 0.521955 | + | 0.904052i | ||||
\(559\) | 20.1757 | − | 34.9454i | 0.853342 | − | 1.47803i | ||||
\(560\) | −1.72106 | + | 1.44414i | −0.0727282 | + | 0.0610262i | ||||
\(561\) | −2.26424 | + | 1.89992i | −0.0955961 | + | 0.0802147i | ||||
\(562\) | 10.6079 | − | 18.3734i | 0.447466 | − | 0.775034i | ||||
\(563\) | 14.0958 | + | 24.4147i | 0.594069 | + | 1.02896i | 0.993678 | + | 0.112271i | \(0.0358126\pi\) |
−0.399609 | + | 0.916686i | \(0.630854\pi\) | |||||||
\(564\) | 4.38640 | + | 1.59652i | 0.184701 | + | 0.0672256i | ||||
\(565\) | −1.96950 | + | 11.1696i | −0.0828574 | + | 0.469908i | ||||
\(566\) | 0.901208 | + | 5.11101i | 0.0378806 | + | 0.214832i | ||||
\(567\) | −17.2316 | + | 6.27180i | −0.723660 | + | 0.263391i | ||||
\(568\) | −0.0432358 | − | 0.0362792i | −0.00181414 | − | 0.00152224i | ||||
\(569\) | −42.1145 | −1.76553 | −0.882766 | − | 0.469812i | \(-0.844322\pi\) | ||||
−0.882766 | + | 0.469812i | \(0.844322\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.166927 | 0.00698566 | 0.00349283 | − | 0.999994i | \(-0.498888\pi\) | ||||
0.00349283 | + | 0.999994i | \(0.498888\pi\) | |||||||
\(572\) | 9.65918 | + | 8.10501i | 0.403871 | + | 0.338888i | ||||
\(573\) | 8.70058 | − | 3.16675i | 0.363472 | − | 0.132293i | ||||
\(574\) | 1.52699 | + | 8.66001i | 0.0637355 | + | 0.361462i | ||||
\(575\) | −5.97698 | + | 33.8972i | −0.249257 | + | 1.41361i | ||||
\(576\) | 2.63511 | + | 0.959102i | 0.109796 | + | 0.0399626i | ||||
\(577\) | 9.98157 | + | 17.2886i | 0.415538 | + | 0.719733i | 0.995485 | − | 0.0949212i | \(-0.0302599\pi\) |
−0.579947 | + | 0.814655i | \(0.696927\pi\) | |||||||
\(578\) | 2.64407 | − | 4.57966i | 0.109979 | − | 0.190489i | ||||
\(579\) | −2.63999 | + | 2.21521i | −0.109714 | + | 0.0920610i | ||||
\(580\) | 3.12822 | − | 2.62489i | 0.129892 | − | 0.108993i | ||||
\(581\) | 17.7972 | − | 30.8256i | 0.738350 | − | 1.27886i | ||||
\(582\) | 1.73099 | + | 2.99816i | 0.0717517 | + | 0.124278i | ||||
\(583\) | 6.90195 | + | 2.51211i | 0.285850 | + | 0.104041i | ||||
\(584\) | −1.21018 | + | 6.86330i | −0.0500778 | + | 0.284005i | ||||
\(585\) | 2.80420 | + | 15.9034i | 0.115940 | + | 0.657526i | ||||
\(586\) | −16.5066 | + | 6.00791i | −0.681882 | + | 0.248185i | ||||
\(587\) | 7.77078 | + | 6.52046i | 0.320734 | + | 0.269128i | 0.788912 | − | 0.614506i | \(-0.210645\pi\) |
−0.468177 | + | 0.883634i | \(0.655089\pi\) | |||||||
\(588\) | −0.287096 | −0.0118397 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 2.53328 | 0.104293 | ||||||||
\(591\) | 0.618626 | + | 0.519089i | 0.0254469 | + | 0.0213525i | ||||
\(592\) | −5.61917 | + | 2.04521i | −0.230946 | + | 0.0840576i | ||||
\(593\) | 1.29423 | + | 7.33992i | 0.0531475 | + | 0.301415i | 0.999782 | − | 0.0208955i | \(-0.00665174\pi\) |
−0.946634 | + | 0.322310i | \(0.895541\pi\) | |||||||
\(594\) | −0.870501 | + | 4.93686i | −0.0357171 | + | 0.202562i | ||||
\(595\) | −7.22507 | − | 2.62971i | −0.296199 | − | 0.107808i | ||||
\(596\) | −7.19479 | − | 12.4617i | −0.294710 | − | 0.510452i | ||||
\(597\) | −0.521942 | + | 0.904030i | −0.0213617 | + | 0.0369995i | ||||
\(598\) | 40.5027 | − | 33.9858i | 1.65628 | − | 1.38978i | ||||
\(599\) | −4.88079 | + | 4.09547i | −0.199424 | + | 0.167336i | −0.737031 | − | 0.675859i | \(-0.763773\pi\) |
0.537607 | + | 0.843195i | \(0.319328\pi\) | |||||||
\(600\) | 0.930333 | − | 1.61138i | 0.0379807 | − | 0.0657845i | ||||
\(601\) | −0.873153 | − | 1.51235i | −0.0356166 | − | 0.0616898i | 0.847668 | − | 0.530528i | \(-0.178006\pi\) |
−0.883284 | + | 0.468838i | \(0.844673\pi\) | |||||||
\(602\) | 14.7932 | + | 5.38428i | 0.602925 | + | 0.219447i | ||||
\(603\) | −1.30142 | + | 7.38074i | −0.0529981 | + | 0.300567i | ||||
\(604\) | −2.15441 | − | 12.2183i | −0.0876617 | − | 0.497154i | ||||
\(605\) | −6.02305 | + | 2.19221i | −0.244872 | + | 0.0891260i | ||||
\(606\) | −1.82518 | − | 1.53151i | −0.0741430 | − | 0.0622134i | ||||
\(607\) | 32.1612 | 1.30538 | 0.652691 | − | 0.757624i | \(-0.273640\pi\) | ||||
0.652691 | + | 0.757624i | \(0.273640\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.10775 | −0.206977 | ||||||||
\(610\) | 1.67654 | + | 1.40678i | 0.0678811 | + | 0.0569590i | ||||
\(611\) | 64.0383 | − | 23.3080i | 2.59071 | − | 0.942942i | ||||
\(612\) | 1.66647 | + | 9.45099i | 0.0673629 | + | 0.382034i | ||||
\(613\) | 2.21653 | − | 12.5705i | 0.0895246 | − | 0.507719i | −0.906764 | − | 0.421639i | \(-0.861455\pi\) |
0.996288 | − | 0.0860800i | \(-0.0274341\pi\) | |||||||
\(614\) | −20.2676 | − | 7.37681i | −0.817935 | − | 0.297704i | ||||
\(615\) | 0.688186 | + | 1.19197i | 0.0277503 | + | 0.0480650i | ||||
\(616\) | −2.45965 | + | 4.26024i | −0.0991021 | + | 0.171650i | ||||
\(617\) | −1.28943 | + | 1.08196i | −0.0519105 | + | 0.0435581i | −0.668374 | − | 0.743826i | \(-0.733009\pi\) |
0.616463 | + | 0.787384i | \(0.288565\pi\) | |||||||
\(618\) | 1.59125 | − | 1.33521i | 0.0640093 | − | 0.0537102i | ||||
\(619\) | −15.7642 | + | 27.3045i | −0.633618 | + | 1.09746i | 0.353188 | + | 0.935552i | \(0.385098\pi\) |
−0.986806 | + | 0.161906i | \(0.948236\pi\) | |||||||
\(620\) | 3.91971 | + | 6.78914i | 0.157419 | + | 0.272658i | ||||
\(621\) | 19.7528 | + | 7.18943i | 0.792652 | + | 0.288502i | ||||
\(622\) | −0.446915 | + | 2.53458i | −0.0179197 | + | 0.101628i | ||||
\(623\) | −0.817359 | − | 4.63547i | −0.0327468 | − | 0.185716i | ||||
\(624\) | −2.68579 | + | 0.977548i | −0.107518 | + | 0.0391332i | ||||
\(625\) | 10.5027 | + | 8.81280i | 0.420107 | + | 0.352512i | ||||
\(626\) | −5.18389 | −0.207190 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.451220 | −0.0180056 | ||||||||
\(629\) | −15.6767 | − | 13.1543i | −0.625069 | − | 0.524495i | ||||
\(630\) | −5.92028 | + | 2.15480i | −0.235869 | + | 0.0858494i | ||||
\(631\) | −5.51615 | − | 31.2836i | −0.219594 | − | 1.24538i | −0.872754 | − | 0.488161i | \(-0.837668\pi\) |
0.653160 | − | 0.757220i | \(-0.273443\pi\) | |||||||
\(632\) | 1.58569 | − | 8.99289i | 0.0630753 | − | 0.357718i | ||||
\(633\) | −0.150117 | − | 0.0546383i | −0.00596663 | − | 0.00217168i | ||||
\(634\) | −10.1281 | − | 17.5423i | −0.402237 | − | 0.696696i | ||||
\(635\) | −3.19797 | + | 5.53904i | −0.126907 | + | 0.219810i | ||||
\(636\) | −1.27538 | + | 1.07017i | −0.0505722 | + | 0.0424351i | ||||
\(637\) | −3.21080 | + | 2.69418i | −0.127217 | + | 0.106747i | ||||
\(638\) | 4.47068 | − | 7.74345i | 0.176996 | − | 0.306566i | ||||
\(639\) | −0.0791358 | − | 0.137067i | −0.00313056 | − | 0.00542230i | ||||
\(640\) | 0.837728 | + | 0.304908i | 0.0331141 | + | 0.0120525i | ||||
\(641\) | −7.02298 | + | 39.8293i | −0.277391 | + | 1.57316i | 0.453873 | + | 0.891067i | \(0.350042\pi\) |
−0.731263 | + | 0.682095i | \(0.761069\pi\) | |||||||
\(642\) | −1.23219 | − | 6.98811i | −0.0486307 | − | 0.275799i | ||||
\(643\) | 24.5290 | − | 8.92784i | 0.967331 | − | 0.352080i | 0.190429 | − | 0.981701i | \(-0.439012\pi\) |
0.776902 | + | 0.629621i | \(0.216790\pi\) | |||||||
\(644\) | 15.8016 | + | 13.2591i | 0.622670 | + | 0.522482i | ||||
\(645\) | 2.46402 | 0.0970208 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −48.7713 | −1.91740 | −0.958699 | − | 0.284423i | \(-0.908198\pi\) | ||||
−0.958699 | + | 0.284423i | \(0.908198\pi\) | |||||||
\(648\) | 5.57402 | + | 4.67716i | 0.218968 | + | 0.183736i | ||||
\(649\) | 5.21229 | − | 1.89712i | 0.204600 | − | 0.0744684i | ||||
\(650\) | −4.71705 | − | 26.7517i | −0.185018 | − | 1.04929i | ||||
\(651\) | 1.70271 | − | 9.65654i | 0.0667344 | − | 0.378470i | ||||
\(652\) | 0.0650777 | + | 0.0236863i | 0.00254864 | + | 0.000927628i | ||||
\(653\) | 21.5915 | + | 37.3976i | 0.844942 | + | 1.46348i | 0.885672 | + | 0.464312i | \(0.153698\pi\) |
−0.0407298 | + | 0.999170i | \(0.512968\pi\) | |||||||
\(654\) | 3.11954 | − | 5.40321i | 0.121984 | − | 0.211282i | ||||
\(655\) | 2.40570 | − | 2.01862i | 0.0939984 | − | 0.0788740i | ||||
\(656\) | 2.67298 | − | 2.24289i | 0.104362 | − | 0.0875703i | ||||
\(657\) | −9.77157 | + | 16.9249i | −0.381225 | + | 0.660302i | ||||
\(658\) | 13.2935 | + | 23.0251i | 0.518236 | + | 0.897612i | ||||
\(659\) | 13.4159 | + | 4.88298i | 0.522608 | + | 0.190214i | 0.589835 | − | 0.807524i | \(-0.299193\pi\) |
−0.0672267 | + | 0.997738i | \(0.521415\pi\) | |||||||
\(660\) | −0.133703 | + | 0.758269i | −0.00520439 | + | 0.0295156i | ||||
\(661\) | 6.20787 | + | 35.2066i | 0.241458 | + | 1.36938i | 0.828577 | + | 0.559875i | \(0.189151\pi\) |
−0.587119 | + | 0.809501i | \(0.699738\pi\) | |||||||
\(662\) | −20.0418 | + | 7.29460i | −0.778945 | + | 0.283513i | ||||
\(663\) | −7.49296 | − | 6.28734i | −0.291002 | − | 0.244180i | ||||
\(664\) | −14.1239 | −0.548114 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −16.7687 | −0.649774 | ||||||||
\(667\) | −28.7211 | − | 24.0999i | −1.11209 | − | 0.933151i | ||||
\(668\) | 2.04262 | − | 0.743451i | 0.0790312 | − | 0.0287650i | ||||
\(669\) | −1.38673 | − | 7.86453i | −0.0536140 | − | 0.304060i | ||||
\(670\) | −0.413736 | + | 2.34641i | −0.0159840 | + | 0.0906498i | ||||
\(671\) | 4.50304 | + | 1.63897i | 0.173838 | + | 0.0632718i | ||||
\(672\) | −0.557537 | − | 0.965682i | −0.0215074 | − | 0.0372520i | ||||
\(673\) | −5.17870 | + | 8.96976i | −0.199624 | + | 0.345759i | −0.948407 | − | 0.317057i | \(-0.897305\pi\) |
0.748783 | + | 0.662816i | \(0.230639\pi\) | |||||||
\(674\) | 17.4103 | − | 14.6089i | 0.670618 | − | 0.562715i | ||||
\(675\) | 8.27307 | − | 6.94193i | 0.318431 | − | 0.267195i | ||||
\(676\) | −14.3635 | + | 24.8784i | −0.552444 | + | 0.956861i | ||||
\(677\) | 5.35854 | + | 9.28126i | 0.205945 | + | 0.356708i | 0.950434 | − | 0.310928i | \(-0.100640\pi\) |
−0.744488 | + | 0.667636i | \(0.767306\pi\) | |||||||
\(678\) | −5.28970 | − | 1.92529i | −0.203150 | − | 0.0739405i | ||||
\(679\) | −3.42407 | + | 19.4189i | −0.131404 | + | 0.745227i | ||||
\(680\) | 0.529786 | + | 3.00457i | 0.0203164 | + | 0.115220i | ||||
\(681\) | 5.10764 | − | 1.85903i | 0.195725 | − | 0.0712381i | ||||
\(682\) | 13.1492 | + | 11.0335i | 0.503508 | + | 0.422493i | ||||
\(683\) | 0.122930 | 0.00470377 | 0.00235188 | − | 0.999997i | \(-0.499251\pi\) | ||||
0.00235188 | + | 0.999997i | \(0.499251\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.80957 | 0.374804 | ||||||||
\(686\) | −14.7665 | − | 12.3905i | −0.563786 | − | 0.473073i | ||||
\(687\) | −2.82387 | + | 1.02780i | −0.107737 | + | 0.0392132i | ||||
\(688\) | −1.08473 | − | 6.15179i | −0.0413548 | − | 0.234535i | ||||
\(689\) | −4.22073 | + | 23.9370i | −0.160797 | + | 0.911926i | ||||
\(690\) | 3.03390 | + | 1.10425i | 0.115499 | + | 0.0420380i | ||||
\(691\) | 12.6407 | + | 21.8944i | 0.480876 | + | 0.832902i | 0.999759 | − | 0.0219435i | \(-0.00698538\pi\) |
−0.518883 | + | 0.854845i | \(0.673652\pi\) | |||||||
\(692\) | −8.42464 | + | 14.5919i | −0.320257 | + | 0.554701i | ||||
\(693\) | −10.5675 | + | 8.86714i | −0.401424 | + | 0.336835i | ||||
\(694\) | −3.77549 | + | 3.16801i | −0.143316 | + | 0.120256i | ||||
\(695\) | 9.69881 | − | 16.7988i | 0.367897 | − | 0.637216i | ||||
\(696\) | 1.01338 | + | 1.75523i | 0.0384122 | + | 0.0665319i | ||||
\(697\) | 11.2212 | + | 4.08419i | 0.425034 | + | 0.154700i | ||||
\(698\) | 4.54290 | − | 25.7641i | 0.171951 | − | 0.975184i | ||||
\(699\) | 1.64648 | + | 9.33766i | 0.0622756 | + | 0.353183i | ||||
\(700\) | 9.95870 | − | 3.62467i | 0.376404 | − | 0.137000i | ||||
\(701\) | −3.96265 | − | 3.32506i | −0.149667 | − | 0.125586i | 0.564880 | − | 0.825173i | \(-0.308923\pi\) |
−0.714547 | + | 0.699588i | \(0.753367\pi\) | |||||||
\(702\) | −16.5894 | −0.626127 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 1.95199 | 0.0735684 | ||||||||
\(705\) | 3.18782 | + | 2.67490i | 0.120060 | + | 0.100742i | ||||
\(706\) | −2.54481 | + | 0.926236i | −0.0957753 | + | 0.0348594i | ||||
\(707\) | −2.35652 | − | 13.3645i | −0.0886261 | − | 0.502624i | ||||
\(708\) | −0.218330 | + | 1.23821i | −0.00820534 | + | 0.0465348i | ||||
\(709\) | 28.1820 | + | 10.2574i | 1.05840 | + | 0.385226i | 0.811826 | − | 0.583899i | \(-0.198473\pi\) |
0.246572 | + | 0.969124i | \(0.420696\pi\) | |||||||
\(710\) | −0.0251581 | − | 0.0435750i | −0.000944165 | − | 0.00163534i | ||||
\(711\) | 12.8036 | − | 22.1764i | 0.480171 | − | 0.831680i | ||||
\(712\) | −1.43077 | + | 1.20056i | −0.0536205 | + | 0.0449929i | ||||
\(713\) | 55.1368 | − | 46.2653i | 2.06489 | − | 1.73265i | ||||
\(714\) | 1.90803 | − | 3.30481i | 0.0714064 | − | 0.123680i | ||||
\(715\) | 5.62048 | + | 9.73496i | 0.210194 | + | 0.364067i | ||||
\(716\) | 17.8218 | + | 6.48659i | 0.666030 | + | 0.242415i | ||||
\(717\) | −0.909520 | + | 5.15815i | −0.0339667 | + | 0.192634i | ||||
\(718\) | −1.61667 | − | 9.16858i | −0.0603335 | − | 0.342168i | ||||
\(719\) | 21.3341 | − | 7.76497i | 0.795627 | − | 0.289584i | 0.0879538 | − | 0.996125i | \(-0.471967\pi\) |
0.707673 | + | 0.706540i | \(0.249745\pi\) | |||||||
\(720\) | 1.91507 | + | 1.60693i | 0.0713704 | + | 0.0598868i | ||||
\(721\) | 11.8313 | 0.440620 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.62195 | 0.357844 | ||||||||
\(724\) | 1.52203 | + | 1.27714i | 0.0565659 | + | 0.0474644i | ||||
\(725\) | −18.1010 | + | 6.58824i | −0.672256 | + | 0.244681i | ||||
\(726\) | −0.552409 | − | 3.13287i | −0.0205018 | − | 0.116272i | ||||
\(727\) | 6.35443 | − | 36.0378i | 0.235673 | − | 1.33657i | −0.605519 | − | 0.795831i | \(-0.707034\pi\) |
0.841192 | − | 0.540737i | \(-0.181854\pi\) | |||||||
\(728\) | −15.2975 | − | 5.56784i | −0.566963 | − | 0.206358i | ||||
\(729\) | 8.49781 | + | 14.7186i | 0.314734 | + | 0.545135i | ||||
\(730\) | −3.10648 | + | 5.38058i | −0.114976 | + | 0.199144i | ||||
\(731\) | 16.3763 | − | 13.7414i | 0.605701 | − | 0.508243i | ||||
\(732\) | −0.832097 | + | 0.698212i | −0.0307552 | + | 0.0258067i | ||||
\(733\) | −10.5761 | + | 18.3184i | −0.390637 | + | 0.676604i | −0.992534 | − | 0.121970i | \(-0.961079\pi\) |
0.601896 | + | 0.798574i | \(0.294412\pi\) | |||||||
\(734\) | −3.87721 | − | 6.71552i | −0.143110 | − | 0.247875i | ||||
\(735\) | −0.240509 | − | 0.0875380i | −0.00887130 | − | 0.00322889i | ||||
\(736\) | 1.42132 | − | 8.06069i | 0.0523904 | − | 0.297121i | ||||
\(737\) | 0.905906 | + | 5.13765i | 0.0333695 | + | 0.189248i | ||||
\(738\) | 9.19475 | − | 3.34662i | 0.338463 | − | 0.123191i | ||||
\(739\) | 37.0050 | + | 31.0509i | 1.36125 | + | 1.14223i | 0.975594 | + | 0.219584i | \(0.0704701\pi\) |
0.385658 | + | 0.922642i | \(0.373974\pi\) | |||||||
\(740\) | −5.33094 | −0.195969 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.48276 | −0.348123 | ||||||||
\(743\) | 24.4061 | + | 20.4791i | 0.895371 | + | 0.751306i | 0.969280 | − | 0.245959i | \(-0.0791029\pi\) |
−0.0739089 | + | 0.997265i | \(0.523547\pi\) | |||||||
\(744\) | −3.65620 | + | 1.33075i | −0.134043 | + | 0.0487876i | ||||
\(745\) | −2.22759 | − | 12.6333i | −0.0816126 | − | 0.462848i | ||||
\(746\) | 4.34335 | − | 24.6324i | 0.159021 | − | 0.901855i | ||||
\(747\) | −37.2180 | − | 13.5463i | −1.36174 | − | 0.495632i | ||||
\(748\) | 3.34011 | + | 5.78523i | 0.122126 | + | 0.211529i | ||||
\(749\) | 20.2081 | − | 35.0015i | 0.738390 | − | 1.27893i | ||||
\(750\) | 2.78153 | − | 2.33398i | 0.101567 | − | 0.0852249i | ||||
\(751\) | −31.4049 | + | 26.3519i | −1.14598 | + | 0.961594i | −0.999618 | − | 0.0276369i | \(-0.991202\pi\) |
−0.146365 | + | 0.989231i | \(0.546757\pi\) | |||||||
\(752\) | 5.27491 | − | 9.13641i | 0.192356 | − | 0.333171i | ||||
\(753\) | −5.23015 | − | 9.05888i | −0.190597 | − | 0.330124i | ||||
\(754\) | 27.8049 | + | 10.1202i | 1.01259 | + | 0.368554i | ||||
\(755\) | 1.92064 | − | 10.8925i | 0.0698992 | − | 0.396418i | ||||
\(756\) | −1.12387 | − | 6.37381i | −0.0408749 | − | 0.231813i | ||||
\(757\) | 12.0483 | − | 4.38522i | 0.437903 | − | 0.159384i | −0.113655 | − | 0.993520i | \(-0.536256\pi\) |
0.551558 | + | 0.834137i | \(0.314034\pi\) | |||||||
\(758\) | −14.6929 | − | 12.3288i | −0.533670 | − | 0.447803i | ||||
\(759\) | 7.06929 | 0.256599 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 35.6382 | 1.29188 | 0.645942 | − | 0.763386i | \(-0.276465\pi\) | ||||
0.645942 | + | 0.763386i | \(0.276465\pi\) | |||||||
\(762\) | −2.43175 | − | 2.04048i | −0.0880928 | − | 0.0739187i | ||||
\(763\) | 33.3930 | − | 12.1541i | 1.20891 | − | 0.440006i | ||||
\(764\) | −3.63375 | − | 20.6080i | −0.131464 | − | 0.745572i | ||||
\(765\) | −1.48564 | + | 8.42548i | −0.0537134 | + | 0.304624i | ||||
\(766\) | −4.54171 | − | 1.65305i | −0.164099 | − | 0.0597270i | ||||
\(767\) | 9.17792 | + | 15.8966i | 0.331395 | + | 0.573994i | ||||
\(768\) | −0.221232 | + | 0.383185i | −0.00798301 | + | 0.0138270i | ||||
\(769\) | −4.26994 | + | 3.58290i | −0.153978 | + | 0.129203i | −0.716522 | − | 0.697564i | \(-0.754267\pi\) |
0.562544 | + | 0.826767i | \(0.309823\pi\) | |||||||
\(770\) | −3.35950 | + | 2.81895i | −0.121068 | + | 0.101588i | ||||
\(771\) | −0.204301 | + | 0.353859i | −0.00735771 | + | 0.0127439i | ||||
\(772\) | 3.89440 | + | 6.74529i | 0.140162 | + | 0.242768i | ||||
\(773\) | 34.2160 | + | 12.4536i | 1.23066 | + | 0.447925i | 0.873825 | − | 0.486240i | \(-0.161632\pi\) |
0.356839 | + | 0.934166i | \(0.383854\pi\) | |||||||
\(774\) | 3.04182 | − | 17.2510i | 0.109336 | − | 0.620075i | ||||
\(775\) | −6.42138 | − | 36.4174i | −0.230663 | − | 1.30815i | ||||
\(776\) | 7.35245 | − | 2.67607i | 0.263938 | − | 0.0960655i | ||||
\(777\) | 5.10792 | + | 4.28605i | 0.183245 | + | 0.153761i | ||||
\(778\) | 21.7291 | 0.779027 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −2.54802 | −0.0912339 | ||||||||
\(781\) | −0.0843959 | − | 0.0708166i | −0.00301992 | − | 0.00253402i | ||||
\(782\) | 26.3220 | − | 9.58044i | 0.941274 | − | 0.342596i | ||||
\(783\) | 2.04277 | + | 11.5851i | 0.0730025 | + | 0.414018i | ||||
\(784\) | −0.112673 | + | 0.639001i | −0.00402404 | + | 0.0228215i | ||||
\(785\) | −0.378000 | − | 0.137581i | −0.0134914 | − | 0.00491046i | ||||
\(786\) | 0.779323 | + | 1.34983i | 0.0277975 | + | 0.0481467i | ||||
\(787\) | 15.9523 | − | 27.6302i | 0.568638 | − | 0.984909i | −0.428063 | − | 0.903749i | \(-0.640804\pi\) |
0.996701 | − | 0.0811606i | \(-0.0258627\pi\) | |||||||
\(788\) | 1.39814 | − | 1.17318i | 0.0498067 | − | 0.0417928i | ||||
\(789\) | 1.46414 | − | 1.22856i | 0.0521247 | − | 0.0437378i | ||||
\(790\) | 4.07038 | − | 7.05010i | 0.144818 | − | 0.250831i | ||||
\(791\) | −16.0311 | − | 27.7667i | −0.570001 | − | 0.987271i | ||||
\(792\) | 5.14371 | + | 1.87216i | 0.182774 | + | 0.0665242i | ||||
\(793\) | −2.75373 | + | 15.6172i | −0.0977879 | + | 0.554583i | ||||
\(794\) | 2.03412 | + | 11.5361i | 0.0721881 | + | 0.409399i | ||||
\(795\) | −1.39473 | + | 0.507639i | −0.0494659 | + | 0.0180041i | ||||
\(796\) | 1.80729 | + | 1.51650i | 0.0640578 | + | 0.0537509i | ||||
\(797\) | 2.09165 | 0.0740900 | 0.0370450 | − | 0.999314i | \(-0.488206\pi\) | ||||
0.0370450 | + | 0.999314i | \(0.488206\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 36.1042 | 1.27728 | ||||||||
\(800\) | −3.22140 | − | 2.70308i | −0.113894 | − | 0.0955682i | ||||
\(801\) | −4.92170 | + | 1.79135i | −0.173900 | + | 0.0632944i | ||||
\(802\) | 2.05119 | + | 11.6329i | 0.0724301 | + | 0.410771i | ||||
\(803\) | −2.36227 | + | 13.3971i | −0.0833626 | + | 0.472773i | ||||
\(804\) | −1.11122 | − | 0.404450i | −0.0391896 | − | 0.0142638i | ||||
\(805\) | 9.19462 | + | 15.9256i | 0.324068 | + | 0.561302i | ||||
\(806\) | −28.4018 | + | 49.1934i | −1.00041 | + | 1.73276i | ||||
\(807\) | 3.65905 | − | 3.07031i | 0.128805 | − | 0.108080i | ||||
\(808\) | −4.12505 | + | 3.46133i | −0.145119 | + | 0.121769i | ||||
\(809\) | 15.0360 | − | 26.0430i | 0.528636 | − | 0.915625i | −0.470806 | − | 0.882237i | \(-0.656037\pi\) |
0.999442 | − | 0.0333880i | \(-0.0106297\pi\) | |||||||
\(810\) | 3.24341 | + | 5.61775i | 0.113962 | + | 0.197387i | ||||
\(811\) | 0.773923 | + | 0.281685i | 0.0271761 | + | 0.00989130i | 0.355572 | − | 0.934649i | \(-0.384286\pi\) |
−0.328396 | + | 0.944540i | \(0.606508\pi\) | |||||||
\(812\) | −2.00458 | + | 11.3685i | −0.0703469 | + | 0.398957i | ||||
\(813\) | 0.0620229 | + | 0.351749i | 0.00217524 | + | 0.0123364i | ||||
\(814\) | −10.9686 | + | 3.99223i | −0.384448 | + | 0.139928i | ||||
\(815\) | 0.0472952 | + | 0.0396854i | 0.00165668 | + | 0.00139012i | ||||
\(816\) | −1.51423 | −0.0530085 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −25.2663 | −0.883414 | ||||||||
\(819\) | −34.9705 | − | 29.3437i | −1.22197 | − | 1.02535i | ||||
\(820\) | 2.92310 | − | 1.06392i | 0.102079 | − | 0.0371538i | ||||
\(821\) | 1.33904 | + | 7.59409i | 0.0467329 | + | 0.265036i | 0.999218 | − | 0.0395511i | \(-0.0125928\pi\) |
−0.952485 | + | 0.304587i | \(0.901482\pi\) | |||||||
\(822\) | −0.845435 | + | 4.79470i | −0.0294879 | + | 0.167234i | ||||
\(823\) | 23.3157 | + | 8.48621i | 0.812734 | + | 0.295811i | 0.714753 | − | 0.699377i | \(-0.246539\pi\) |
0.0979811 | + | 0.995188i | \(0.468762\pi\) | |||||||
\(824\) | −2.34734 | − | 4.06571i | −0.0817734 | − | 0.141636i | ||||
\(825\) | 1.81600 | − | 3.14540i | 0.0632250 | − | 0.109509i | ||||
\(826\) | −5.48587 | + | 4.60319i | −0.190878 | + | 0.160165i | ||||
\(827\) | −8.14188 | + | 6.83185i | −0.283121 | + | 0.237567i | −0.773278 | − | 0.634068i | \(-0.781384\pi\) |
0.490157 | + | 0.871634i | \(0.336940\pi\) | |||||||
\(828\) | 11.4764 | − | 19.8776i | 0.398831 | − | 0.690795i | ||||
\(829\) | 10.7355 | + | 18.5944i | 0.372859 | + | 0.645811i | 0.990004 | − | 0.141039i | \(-0.0450442\pi\) |
−0.617145 | + | 0.786849i | \(0.711711\pi\) | |||||||
\(830\) | −11.8320 | − | 4.30649i | −0.410694 | − | 0.149480i | ||||
\(831\) | −0.702921 | + | 3.98646i | −0.0243841 | + | 0.138289i | ||||
\(832\) | 1.12171 | + | 6.36151i | 0.0388882 | + | 0.220546i | ||||
\(833\) | −2.08665 | + | 0.759478i | −0.0722981 | + | 0.0263143i | ||||
\(834\) | 7.37501 | + | 6.18837i | 0.255376 | + | 0.214286i | ||||
\(835\) | 1.93784 | 0.0670617 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −22.5834 | −0.780595 | ||||||||
\(838\) | 24.2179 | + | 20.3213i | 0.836594 | + | 0.701986i | ||||
\(839\) | −45.8794 | + | 16.6987i | −1.58393 | + | 0.576505i | −0.976055 | − | 0.217525i | \(-0.930202\pi\) |
−0.607879 | + | 0.794030i | \(0.707980\pi\) | |||||||
\(840\) | −0.172620 | − | 0.978976i | −0.00595595 | − | 0.0337779i | ||||
\(841\) | −1.39226 | + | 7.89589i | −0.0480089 | + | 0.272272i | ||||
\(842\) | −2.05766 | − | 0.748928i | −0.0709118 | − | 0.0258098i | ||||
\(843\) | 4.69360 | + | 8.12955i | 0.161656 | + | 0.279997i | ||||
\(844\) | −0.180525 | + | 0.312679i | −0.00621393 | + | 0.0107628i | ||||
\(845\) | −19.6184 | + | 16.4618i | −0.674892 | + | 0.566301i | ||||
\(846\) | 22.6627 | − | 19.0163i | 0.779160 | − | 0.653793i | ||||
\(847\) | 9.05960 | − | 15.6917i | 0.311292 | − | 0.539173i | ||||
\(848\) | 1.88139 | + | 3.25866i | 0.0646072 | + | 0.111903i | ||||
\(849\) | −2.15783 | − | 0.785388i | −0.0740567 | − | 0.0269544i | ||||
\(850\) | 2.49905 | − | 14.1728i | 0.0857166 | − | 0.486123i | ||||
\(851\) | 8.49919 | + | 48.2013i | 0.291348 | + | 1.65232i | ||||
\(852\) | 0.0234668 | − | 0.00854121i | 0.000803958 | − | 0.000292617i | ||||
\(853\) | −16.0954 | − | 13.5056i | −0.551096 | − | 0.462424i | 0.324216 | − | 0.945983i | \(-0.394899\pi\) |
−0.875312 | + | 0.483559i | \(0.839344\pi\) | |||||||
\(854\) | −6.18683 | −0.211709 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −16.0373 | −0.548143 | ||||||||
\(857\) | −24.6967 | − | 20.7230i | −0.843621 | − | 0.707882i | 0.114754 | − | 0.993394i | \(-0.463392\pi\) |
−0.958375 | + | 0.285511i | \(0.907837\pi\) | |||||||
\(858\) | −5.24263 | + | 1.90816i | −0.178981 | + | 0.0651436i | ||||
\(859\) | −7.15907 | − | 40.6011i | −0.244264 | − | 1.38529i | −0.822195 | − | 0.569205i | \(-0.807251\pi\) |
0.577931 | − | 0.816085i | \(-0.303860\pi\) | |||||||
\(860\) | 0.967024 | − | 5.48427i | 0.0329753 | − | 0.187012i | ||||
\(861\) | −3.65620 | − | 1.33075i | −0.124603 | − | 0.0453518i | ||||
\(862\) | −0.901858 | − | 1.56206i | −0.0307174 | − | 0.0532041i | ||||
\(863\) | −21.0325 | + | 36.4293i | −0.715953 | + | 1.24007i | 0.246637 | + | 0.969108i | \(0.420674\pi\) |
−0.962591 | + | 0.270960i | \(0.912659\pi\) | |||||||
\(864\) | −1.96732 | + | 1.65078i | −0.0669297 | + | 0.0561607i | ||||
\(865\) | −11.5068 | + | 9.65531i | −0.391241 | + | 0.328290i | ||||
\(866\) | −3.28616 | + | 5.69180i | −0.111668 | + | 0.193415i | ||||
\(867\) | 1.16990 | + | 2.02633i | 0.0397320 | + | 0.0688179i | ||||
\(868\) | −20.8247 | − | 7.57957i | −0.706836 | − | 0.257267i | ||||
\(869\) | 3.09525 | − | 17.5540i | 0.104999 | − | 0.595479i | ||||
\(870\) | 0.313756 | + | 1.77940i | 0.0106373 | + | 0.0603272i | ||||
\(871\) | −16.2230 | + | 5.90468i | −0.549694 | + | 0.200072i | ||||
\(872\) | −10.8018 | − | 9.06381i | −0.365796 | − | 0.306939i | ||||
\(873\) | 21.9412 | 0.742596 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 20.6813 | 0.699156 | ||||||||
\(876\) | −2.36218 | − | 1.98210i | −0.0798106 | − | 0.0669691i | ||||
\(877\) | −2.21346 | + | 0.805633i | −0.0747432 | + | 0.0272043i | −0.379121 | − | 0.925347i | \(-0.623774\pi\) |
0.304378 | + | 0.952551i | \(0.401551\pi\) | |||||||
\(878\) | 1.58551 | + | 8.99188i | 0.0535084 | + | 0.303461i | ||||
\(879\) | 1.34965 | − | 7.65422i | 0.0455224 | − | 0.258170i | ||||
\(880\) | 1.63524 | + | 0.595177i | 0.0551238 | + | 0.0200634i | ||||
\(881\) | −11.5677 | − | 20.0358i | −0.389725 | − | 0.675024i | 0.602687 | − | 0.797977i | \(-0.294097\pi\) |
−0.992412 | + | 0.122954i | \(0.960763\pi\) | |||||||
\(882\) | −0.909774 | + | 1.57577i | −0.0306337 | + | 0.0530591i | ||||
\(883\) | 5.37143 | − | 4.50717i | 0.180763 | − | 0.151678i | −0.547916 | − | 0.836533i | \(-0.684579\pi\) |
0.728680 | + | 0.684855i | \(0.240134\pi\) | |||||||
\(884\) | −16.9346 | + | 14.2098i | −0.569574 | + | 0.477929i | ||||
\(885\) | −0.560441 | + | 0.970712i | −0.0188390 | + | 0.0326301i | ||||
\(886\) | 13.7343 | + | 23.7885i | 0.461413 | + | 0.799191i | ||||
\(887\) | −45.9785 | − | 16.7348i | −1.54381 | − | 0.561900i | −0.576852 | − | 0.816848i | \(-0.695719\pi\) |
−0.966955 | + | 0.254949i | \(0.917941\pi\) | |||||||
\(888\) | 0.459446 | − | 2.60565i | 0.0154180 | − | 0.0874397i | ||||
\(889\) | −3.13966 | − | 17.8059i | −0.105301 | − | 0.597191i | ||||
\(890\) | −1.56466 | + | 0.569489i | −0.0524475 | + | 0.0190893i | ||||
\(891\) | 10.8804 | + | 9.12976i | 0.364508 | + | 0.305858i | ||||
\(892\) | −18.0486 | −0.604312 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 6.36686 | 0.212940 | ||||||||
\(895\) | 12.9520 | + | 10.8680i | 0.432937 | + | 0.363277i | ||||
\(896\) | −2.36816 | + | 0.861941i | −0.0791148 | + | 0.0287954i | ||||
\(897\) | 4.06235 | + | 23.0387i | 0.135638 | + | 0.769241i | ||||
\(898\) | 1.31503 | − | 7.45788i | 0.0438830 | − | 0.248873i | ||||
\(899\) | 37.8512 | + | 13.7767i | 1.26241 | + | 0.459479i | ||||
\(900\) | −5.89623 | − | 10.2126i | −0.196541 | − | 0.340419i | ||||
\(901\) | −6.43860 | + | 11.1520i | −0.214501 | + | 0.371527i | ||||
\(902\) | 5.21762 | − | 4.37810i | 0.173728 | − | 0.145775i | ||||
\(903\) | −5.33589 | + | 4.47735i | −0.177567 | + | 0.148997i | ||||
\(904\) | −6.36119 | + | 11.0179i | −0.211570 | + | 0.366450i | ||||
\(905\) | 0.885639 | + | 1.53397i | 0.0294396 | + | 0.0509910i | ||||
\(906\) | 5.15848 | + | 1.87753i | 0.171379 | + | 0.0623768i | ||||
\(907\) | −0.207169 | + | 1.17492i | −0.00687895 | + | 0.0390124i | −0.988054 | − | 0.154108i | \(-0.950750\pi\) |
0.981175 | + | 0.193120i | \(0.0618608\pi\) | |||||||
\(908\) | −2.13318 | − | 12.0978i | −0.0707920 | − | 0.401481i | ||||
\(909\) | −14.1897 | + | 5.16464i | −0.470644 | + | 0.171300i | ||||
\(910\) | −11.1175 | − | 9.32867i | −0.368541 | − | 0.309242i | ||||
\(911\) | 37.6344 | 1.24688 | 0.623442 | − | 0.781870i | \(-0.285734\pi\) | ||||
0.623442 | + | 0.781870i | \(0.285734\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.5697 | −0.912424 | ||||||||
\(914\) | −16.6749 | − | 13.9919i | −0.551555 | − | 0.462810i | ||||
\(915\) | −0.909962 | + | 0.331199i | −0.0300824 | + | 0.0109491i | ||||
\(916\) | 1.17937 | + | 6.68856i | 0.0389676 | + | 0.220996i | ||||
\(917\) | −1.54158 | + | 8.74274i | −0.0509075 | + | 0.288711i | ||||
\(918\) | −8.25887 | − | 3.00598i | −0.272583 | − | 0.0992122i | ||||
\(919\) | −13.4738 | − | 23.3373i | −0.444460 | − | 0.769828i | 0.553554 | − | 0.832813i | \(-0.313271\pi\) |
−0.998014 | + | 0.0629854i | \(0.979938\pi\) | |||||||
\(920\) | 3.64845 | − | 6.31929i | 0.120286 | − | 0.208341i | ||||
\(921\) | 7.31052 | − | 6.13426i | 0.240890 | − | 0.202131i | ||||
\(922\) | 9.14993 | − | 7.67770i | 0.301337 | − | 0.252852i | ||||
\(923\) | 0.182293 | − | 0.315740i | 0.00600023 | − | 0.0103927i | ||||
\(924\) | −1.08831 | − | 1.88500i | −0.0358026 | − | 0.0620119i | ||||
\(925\) | 23.6300 | + | 8.60061i | 0.776949 | + | 0.282786i | ||||
\(926\) | −1.52007 | + | 8.62072i | −0.0499524 | + | 0.283294i | ||||
\(927\) | −2.28607 | − | 12.9649i | −0.0750843 | − | 0.425824i | ||||
\(928\) | 4.30440 | − | 1.56667i | 0.141299 | − | 0.0514286i | ||||
\(929\) | −13.6777 | − | 11.4770i | −0.448752 | − | 0.376547i | 0.390221 | − | 0.920721i | \(-0.372399\pi\) |
−0.838972 | + | 0.544174i | \(0.816843\pi\) | |||||||
\(930\) | −3.46866 | −0.113742 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 21.4294 | 0.701942 | ||||||||
\(933\) | −0.872341 | − | 0.731981i | −0.0285592 | − | 0.0239640i | ||||
\(934\) | −27.5864 | + | 10.0406i | −0.902655 | + | 0.328539i | ||||
\(935\) | 1.03414 | + | 5.86488i | 0.0338199 | + | 0.191802i | ||||
\(936\) | −3.14552 | + | 17.8391i | −0.102814 | + | 0.583090i | ||||
\(937\) | 22.3953 | + | 8.15122i | 0.731622 | + | 0.266289i | 0.680851 | − | 0.732422i | \(-0.261610\pi\) |
0.0507708 | + | 0.998710i | \(0.483832\pi\) | |||||||
\(938\) | −3.36768 | − | 5.83300i | −0.109959 | − | 0.190454i | ||||
\(939\) | 1.14684 | − | 1.98639i | 0.0374257 | − | 0.0648232i | ||||
\(940\) | 7.20470 | − | 6.04547i | 0.234992 | − | 0.197181i | ||||
\(941\) | 15.6005 | − | 13.0904i | 0.508563 | − | 0.426735i | −0.352060 | − | 0.935977i | \(-0.614519\pi\) |
0.860623 | + | 0.509242i | \(0.170074\pi\) | |||||||
\(942\) | 0.0998242 | − | 0.172901i | 0.00325245 | − | 0.00563341i | ||||
\(943\) | −14.2801 | − | 24.7339i | −0.465025 | − | 0.805446i | ||||
\(944\) | 2.67025 | + | 0.971890i | 0.0869091 | + | 0.0316323i | ||||
\(945\) | 1.00192 | − | 5.68220i | 0.0325926 | − | 0.184842i | ||||
\(946\) | −2.11737 | − | 12.0082i | −0.0688418 | − | 0.390421i | ||||
\(947\) | 3.20989 | − | 1.16831i | 0.104308 | − | 0.0379648i | −0.289339 | − | 0.957227i | \(-0.593436\pi\) |
0.393647 | + | 0.919262i | \(0.371213\pi\) | |||||||
\(948\) | 3.09513 | + | 2.59712i | 0.100525 | + | 0.0843506i | ||||
\(949\) | −45.0184 | −1.46136 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 8.96261 | 0.290633 | ||||||||
\(952\) | −6.60683 | − | 5.54379i | −0.214128 | − | 0.179675i | ||||
\(953\) | 16.6695 | − | 6.06721i | 0.539979 | − | 0.196536i | −0.0576095 | − | 0.998339i | \(-0.518348\pi\) |
0.597589 | + | 0.801803i | \(0.296126\pi\) | |||||||
\(954\) | 1.83228 | + | 10.3914i | 0.0593223 | + | 0.336433i | ||||
\(955\) | 3.23946 | − | 18.3719i | 0.104826 | − | 0.594500i | ||||
\(956\) | 11.1237 | + | 4.04871i | 0.359767 | + | 0.130945i | ||||
\(957\) | 1.97811 | + | 3.42619i | 0.0639434 | + | 0.110753i | ||||
\(958\) | 12.4352 | − | 21.5385i | 0.401764 | − | 0.695876i | ||||
\(959\) | −21.2428 | + | 17.8249i | −0.685967 | + | 0.575595i | ||||
\(960\) | −0.302168 | + | 0.253549i | −0.00975243 | + | 0.00818326i | ||||
\(961\) | −23.1637 | + | 40.1208i | −0.747217 | + | 1.29422i | ||||
\(962\) | −19.3137 | − | 33.4523i | −0.622699 | − | 1.07855i | ||||
\(963\) | −42.2600 | − | 15.3814i | −1.36181 | − | 0.495658i | ||||
\(964\) | 3.77621 | − | 21.4159i | 0.121623 | − | 0.689761i | ||||
\(965\) | 1.20575 | + | 6.83815i | 0.0388145 | + | 0.220128i | ||||
\(966\) | −8.57650 | + | 3.12159i | −0.275944 | + | 0.100435i | ||||
\(967\) | −32.7523 | − | 27.4825i | −1.05324 | − | 0.883777i | −0.0598130 | − | 0.998210i | \(-0.519050\pi\) |
−0.993431 | + | 0.114433i | \(0.963495\pi\) | |||||||
\(968\) | −7.18974 | −0.231087 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.97531 | 0.223964 | ||||||||
\(971\) | 40.6377 | + | 34.0990i | 1.30412 | + | 1.09429i | 0.989417 | + | 0.145102i | \(0.0463509\pi\) |
0.314708 | + | 0.949189i | \(0.398094\pi\) | |||||||
\(972\) | −10.2652 | + | 3.73623i | −0.329256 | + | 0.119840i | ||||
\(973\) | 9.52198 | + | 54.0018i | 0.305261 | + | 1.73122i | ||||
\(974\) | 1.48255 | − | 8.40795i | 0.0475039 | − | 0.269408i | ||||
\(975\) | 11.2944 | + | 4.11083i | 0.361710 | + | 0.131652i | ||||
\(976\) | 1.22747 | + | 2.12605i | 0.0392905 | + | 0.0680532i | ||||
\(977\) | 6.16319 | − | 10.6750i | 0.197178 | − | 0.341522i | −0.750434 | − | 0.660945i | \(-0.770156\pi\) |
0.947612 | + | 0.319423i | \(0.103489\pi\) | |||||||
\(978\) | −0.0234735 | + | 0.0196966i | −0.000750599 | + | 0.000629828i | ||||
\(979\) | −2.79285 | + | 2.34348i | −0.0892599 | + | 0.0748980i | ||||
\(980\) | −0.289226 | + | 0.500954i | −0.00923899 | + | 0.0160024i | ||||
\(981\) | −19.7709 | − | 34.2442i | −0.631236 | − | 1.09333i | ||||
\(982\) | 10.8438 | + | 3.94681i | 0.346039 | + | 0.125948i | ||||
\(983\) | −5.60109 | + | 31.7654i | −0.178647 | + | 1.01316i | 0.755202 | + | 0.655492i | \(0.227539\pi\) |
−0.933849 | + | 0.357666i | \(0.883573\pi\) | |||||||
\(984\) | 0.268095 | + | 1.52044i | 0.00854656 | + | 0.0484699i | ||||
\(985\) | 1.52897 | − | 0.556500i | 0.0487171 | − | 0.0177316i | ||||
\(986\) | 12.0086 | + | 10.0764i | 0.382433 | + | 0.320899i | ||||
\(987\) | −11.7638 | −0.374446 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −51.1294 | −1.62582 | ||||||||
\(990\) | 3.73819 | + | 3.13671i | 0.118808 | + | 0.0996913i | ||||
\(991\) | −26.1578 | + | 9.52067i | −0.830931 | + | 0.302434i | −0.722241 | − | 0.691642i | \(-0.756888\pi\) |
−0.108690 | + | 0.994076i | \(0.534666\pi\) | |||||||
\(992\) | 1.52699 | + | 8.66001i | 0.0484821 | + | 0.274956i | ||||
\(993\) | 1.63869 | − | 9.29349i | 0.0520023 | − | 0.294920i | ||||
\(994\) | 0.133660 | + | 0.0486483i | 0.00423944 | + | 0.00154303i | ||||
\(995\) | 1.05163 | + | 1.82147i | 0.0333388 | + | 0.0577446i | ||||
\(996\) | 3.12465 | − | 5.41206i | 0.0990085 | − | 0.171488i | ||||
\(997\) | −33.1937 | + | 27.8528i | −1.05126 | + | 0.882108i | −0.993225 | − | 0.116206i | \(-0.962927\pi\) |
−0.0580308 | + | 0.998315i | \(0.518482\pi\) | |||||||
\(998\) | −22.6818 | + | 19.0323i | −0.717981 | + | 0.602458i | ||||
\(999\) | 7.67853 | − | 13.2996i | 0.242938 | − | 0.420781i |
(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 | 722.2.e.r.415.3 | 24 | ||
19.2 | odd | 18 | 722.2.c.n.653.2 | 8 | |||
19.3 | odd | 18 | 722.2.c.n.429.2 | 8 | |||
19.4 | even | 9 | inner | 722.2.e.r.389.2 | 24 | ||
19.5 | even | 9 | 722.2.a.n.1.2 | yes | 4 | ||
19.6 | even | 9 | inner | 722.2.e.r.595.3 | 24 | ||
19.7 | even | 3 | inner | 722.2.e.r.423.2 | 24 | ||
19.8 | odd | 6 | 722.2.e.s.245.3 | 24 | |||
19.9 | even | 9 | inner | 722.2.e.r.99.2 | 24 | ||
19.10 | odd | 18 | 722.2.e.s.99.3 | 24 | |||
19.11 | even | 3 | inner | 722.2.e.r.245.2 | 24 | ||
19.12 | odd | 6 | 722.2.e.s.423.3 | 24 | |||
19.13 | odd | 18 | 722.2.e.s.595.2 | 24 | |||
19.14 | odd | 18 | 722.2.a.m.1.3 | ✓ | 4 | ||
19.15 | odd | 18 | 722.2.e.s.389.3 | 24 | |||
19.16 | even | 9 | 722.2.c.m.429.3 | 8 | |||
19.17 | even | 9 | 722.2.c.m.653.3 | 8 | |||
19.18 | odd | 2 | 722.2.e.s.415.2 | 24 | |||
57.5 | odd | 18 | 6498.2.a.bx.1.2 | 4 | |||
57.14 | even | 18 | 6498.2.a.ca.1.2 | 4 | |||
76.43 | odd | 18 | 5776.2.a.bt.1.3 | 4 | |||
76.71 | even | 18 | 5776.2.a.bv.1.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.3 | ✓ | 4 | 19.14 | odd | 18 | ||
722.2.a.n.1.2 | yes | 4 | 19.5 | even | 9 | ||
722.2.c.m.429.3 | 8 | 19.16 | even | 9 | |||
722.2.c.m.653.3 | 8 | 19.17 | even | 9 | |||
722.2.c.n.429.2 | 8 | 19.3 | odd | 18 | |||
722.2.c.n.653.2 | 8 | 19.2 | odd | 18 | |||
722.2.e.r.99.2 | 24 | 19.9 | even | 9 | inner | ||
722.2.e.r.245.2 | 24 | 19.11 | even | 3 | inner | ||
722.2.e.r.389.2 | 24 | 19.4 | even | 9 | inner | ||
722.2.e.r.415.3 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.r.423.2 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.r.595.3 | 24 | 19.6 | even | 9 | inner | ||
722.2.e.s.99.3 | 24 | 19.10 | odd | 18 | |||
722.2.e.s.245.3 | 24 | 19.8 | odd | 6 | |||
722.2.e.s.389.3 | 24 | 19.15 | odd | 18 | |||
722.2.e.s.415.2 | 24 | 19.18 | odd | 2 | |||
722.2.e.s.423.3 | 24 | 19.12 | odd | 6 | |||
722.2.e.s.595.2 | 24 | 19.13 | odd | 18 | |||
5776.2.a.bt.1.3 | 4 | 76.43 | odd | 18 | |||
5776.2.a.bv.1.2 | 4 | 76.71 | even | 18 | |||
6498.2.a.bx.1.2 | 4 | 57.5 | odd | 18 | |||
6498.2.a.ca.1.2 | 4 | 57.14 | even | 18 |