Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 190.6 | ||
Character | \(\chi\) | \(=\) | 693.190 |
Dual form | 693.2.m.k.631.6 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.727975 | − | 0.528905i | 0.514756 | − | 0.373992i | −0.299869 | − | 0.953981i | \(-0.596943\pi\) |
0.814625 | + | 0.579988i | \(0.196943\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.367826 | + | 1.13205i | −0.183913 | + | 0.566027i | ||||
\(5\) | −0.650418 | − | 0.472557i | −0.290876 | − | 0.211334i | 0.432771 | − | 0.901504i | \(-0.357536\pi\) |
−0.723647 | + | 0.690170i | \(0.757536\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.309017 | − | 0.951057i | 0.116797 | − | 0.359466i | ||||
\(8\) | 0.887104 | + | 2.73023i | 0.313639 | + | 0.965280i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.723426 | −0.228767 | ||||||||
\(11\) | 3.31060 | + | 0.199849i | 0.998183 | + | 0.0602567i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.38421 | + | 1.73223i | −0.661262 | + | 0.480435i | −0.867089 | − | 0.498154i | \(-0.834012\pi\) |
0.205827 | + | 0.978588i | \(0.434012\pi\) | |||||||
\(14\) | −0.278062 | − | 0.855786i | −0.0743152 | − | 0.228719i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.163856 | + | 0.119049i | 0.0409641 | + | 0.0297621i | ||||
\(17\) | 2.67299 | + | 1.94204i | 0.648295 | + | 0.471014i | 0.862690 | − | 0.505733i | \(-0.168778\pi\) |
−0.214395 | + | 0.976747i | \(0.568778\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.45327 | + | 7.55040i | 0.562819 | + | 1.73218i | 0.674344 | + | 0.738418i | \(0.264427\pi\) |
−0.111524 | + | 0.993762i | \(0.535573\pi\) | |||||||
\(20\) | 0.774200 | − | 0.562489i | 0.173116 | − | 0.125776i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.51574 | − | 1.60551i | 0.536357 | − | 0.342295i | ||||
\(23\) | 7.53481 | 1.57112 | 0.785558 | − | 0.618788i | \(-0.212376\pi\) | ||||
0.785558 | + | 0.618788i | \(0.212376\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.34535 | − | 4.14056i | −0.269070 | − | 0.828113i | ||||
\(26\) | −0.819462 | + | 2.52205i | −0.160710 | + | 0.494614i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.962982 | + | 0.699647i | 0.181986 | + | 0.132221i | ||||
\(29\) | 0.0724492 | − | 0.222976i | 0.0134535 | − | 0.0414055i | −0.944104 | − | 0.329647i | \(-0.893070\pi\) |
0.957558 | + | 0.288241i | \(0.0930704\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.22308 | + | 2.34171i | −0.578882 | + | 0.420583i | −0.838321 | − | 0.545177i | \(-0.816462\pi\) |
0.259439 | + | 0.965760i | \(0.416462\pi\) | |||||||
\(32\) | −5.55921 | −0.982738 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.97302 | 0.509869 | ||||||||
\(35\) | −0.650418 | + | 0.472557i | −0.109941 | + | 0.0798766i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.165770 | + | 0.510186i | −0.0272523 | + | 0.0838741i | −0.963758 | − | 0.266779i | \(-0.914040\pi\) |
0.936505 | + | 0.350653i | \(0.114040\pi\) | |||||||
\(38\) | 5.77936 | + | 4.19895i | 0.937537 | + | 0.681160i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.713197 | − | 2.19500i | 0.112766 | − | 0.347059i | ||||
\(41\) | 1.47849 | + | 4.55032i | 0.230901 | + | 0.710641i | 0.997639 | + | 0.0686803i | \(0.0218788\pi\) |
−0.766737 | + | 0.641961i | \(0.778121\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.16645 | 0.482878 | 0.241439 | − | 0.970416i | \(-0.422381\pi\) | ||||
0.241439 | + | 0.970416i | \(0.422381\pi\) | |||||||
\(44\) | −1.44396 | + | 3.67426i | −0.217686 | + | 0.553916i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.48516 | − | 3.98520i | 0.808742 | − | 0.587586i | ||||
\(47\) | 3.40270 | + | 10.4724i | 0.496334 | + | 1.52756i | 0.814867 | + | 0.579648i | \(0.196810\pi\) |
−0.318533 | + | 0.947912i | \(0.603190\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.809017 | − | 0.587785i | −0.115574 | − | 0.0839693i | ||||
\(50\) | −3.16935 | − | 2.30267i | −0.448213 | − | 0.325646i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.08400 | − | 3.33622i | −0.150324 | − | 0.462650i | ||||
\(53\) | 9.49116 | − | 6.89573i | 1.30371 | − | 0.947201i | 0.303726 | − | 0.952759i | \(-0.401769\pi\) |
0.999985 | + | 0.00555811i | \(0.00176921\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.05883 | − | 1.69443i | −0.277613 | − | 0.228477i | ||||
\(56\) | 2.87073 | 0.383617 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.0651917 | − | 0.200640i | −0.00856010 | − | 0.0263453i | ||||
\(59\) | 1.62342 | − | 4.99638i | 0.211352 | − | 0.650474i | −0.788041 | − | 0.615623i | \(-0.788904\pi\) |
0.999393 | − | 0.0348508i | \(-0.0110956\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.95649 | − | 2.14802i | −0.378540 | − | 0.275025i | 0.382203 | − | 0.924078i | \(-0.375165\pi\) |
−0.760743 | + | 0.649053i | \(0.775165\pi\) | |||||||
\(62\) | −1.10778 | + | 3.40941i | −0.140689 | + | 0.432995i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.37468 | + | 3.17839i | −0.546835 | + | 0.397299i | ||||
\(65\) | 2.36931 | 0.293877 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −13.6736 | −1.67050 | −0.835250 | − | 0.549871i | \(-0.814677\pi\) | ||||
−0.835250 | + | 0.549871i | \(0.814677\pi\) | |||||||
\(68\) | −3.18169 | + | 2.31163i | −0.385836 | + | 0.280326i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.223551 | + | 0.688019i | −0.0267195 | + | 0.0822340i | ||||
\(71\) | −8.36286 | − | 6.07597i | −0.992489 | − | 0.721085i | −0.0320239 | − | 0.999487i | \(-0.510195\pi\) |
−0.960465 | + | 0.278402i | \(0.910195\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.75315 | − | 8.47332i | 0.322232 | − | 0.991727i | −0.650443 | − | 0.759555i | \(-0.725417\pi\) |
0.972675 | − | 0.232172i | \(-0.0745832\pi\) | |||||||
\(74\) | 0.149164 | + | 0.459079i | 0.0173400 | + | 0.0533669i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.44983 | −1.08397 | ||||||||
\(77\) | 1.21310 | − | 3.08681i | 0.138245 | − | 0.351775i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.77674 | − | 4.92359i | 0.762442 | − | 0.553947i | −0.137216 | − | 0.990541i | \(-0.543815\pi\) |
0.899658 | + | 0.436594i | \(0.143815\pi\) | |||||||
\(80\) | −0.0503180 | − | 0.154863i | −0.00562572 | − | 0.0173142i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.48299 | + | 2.53054i | 0.384632 | + | 0.279452i | ||||
\(83\) | −5.87535 | − | 4.26869i | −0.644904 | − | 0.468550i | 0.216628 | − | 0.976254i | \(-0.430494\pi\) |
−0.861531 | + | 0.507704i | \(0.830494\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.820837 | − | 2.52628i | −0.0890323 | − | 0.274013i | ||||
\(86\) | 2.30509 | − | 1.67475i | 0.248565 | − | 0.180593i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.39121 | + | 9.21597i | 0.254904 | + | 0.982425i | ||||
\(89\) | −8.03460 | −0.851666 | −0.425833 | − | 0.904802i | \(-0.640019\pi\) | ||||
−0.425833 | + | 0.904802i | \(0.640019\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.910689 | + | 2.80281i | 0.0954661 | + | 0.293814i | ||||
\(92\) | −2.77150 | + | 8.52980i | −0.288949 | + | 0.889293i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 8.01600 | + | 5.82396i | 0.826787 | + | 0.600696i | ||||
\(95\) | 1.97234 | − | 6.07023i | 0.202357 | − | 0.622792i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.5907 | + | 11.3273i | −1.58299 | + | 1.15011i | −0.669829 | + | 0.742516i | \(0.733632\pi\) |
−0.913163 | + | 0.407595i | \(0.866368\pi\) | |||||||
\(98\) | −0.899827 | −0.0908963 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.18219 | 0.518219 | ||||||||
\(101\) | 13.9793 | − | 10.1566i | 1.39099 | − | 1.01062i | 0.395239 | − | 0.918578i | \(-0.370662\pi\) |
0.995755 | − | 0.0920385i | \(-0.0293383\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.43665 | − | 13.6546i | 0.437156 | − | 1.34543i | −0.453704 | − | 0.891152i | \(-0.649898\pi\) |
0.890861 | − | 0.454277i | \(-0.150102\pi\) | |||||||
\(104\) | −6.84443 | − | 4.97277i | −0.671152 | − | 0.487620i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.26214 | − | 10.0398i | 0.316847 | − | 0.975156i | ||||
\(107\) | −4.73420 | − | 14.5704i | −0.457672 | − | 1.40857i | −0.867969 | − | 0.496618i | \(-0.834575\pi\) |
0.410297 | − | 0.911952i | \(-0.365425\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50237 | −0.527032 | −0.263516 | − | 0.964655i | \(-0.584882\pi\) | ||||
−0.263516 | + | 0.964655i | \(0.584882\pi\) | |||||||
\(110\) | −2.39497 | − | 0.144576i | −0.228352 | − | 0.0137848i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.163856 | − | 0.119049i | 0.0154830 | − | 0.0112490i | ||||
\(113\) | 2.06880 | + | 6.36710i | 0.194616 | + | 0.598967i | 0.999981 | + | 0.00618714i | \(0.00196944\pi\) |
−0.805365 | + | 0.592780i | \(0.798031\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.90078 | − | 3.56062i | −0.457000 | − | 0.332030i | ||||
\(116\) | 0.225772 | + | 0.164033i | 0.0209624 | + | 0.0152300i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.46080 | − | 4.49588i | −0.134478 | − | 0.413880i | ||||
\(119\) | 2.67299 | − | 1.94204i | 0.245032 | − | 0.178026i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9201 | + | 1.32324i | 0.992738 | + | 0.120294i | ||||
\(122\) | −3.28835 | −0.297713 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.46540 | − | 4.51004i | −0.131597 | − | 0.405014i | ||||
\(125\) | −2.32380 | + | 7.15192i | −0.207847 | + | 0.639687i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.33897 | + | 6.78516i | 0.828700 | + | 0.602086i | 0.919191 | − | 0.393812i | \(-0.128844\pi\) |
−0.0904914 | + | 0.995897i | \(0.528844\pi\) | |||||||
\(128\) | 1.93219 | − | 5.94666i | 0.170783 | − | 0.525616i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.72480 | − | 1.25314i | 0.151275 | − | 0.109908i | ||||
\(131\) | −21.2008 | −1.85232 | −0.926161 | − | 0.377128i | \(-0.876912\pi\) | ||||
−0.926161 | + | 0.377128i | \(0.876912\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.93896 | 0.688395 | ||||||||
\(134\) | −9.95407 | + | 7.23205i | −0.859900 | + | 0.624754i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.93099 | + | 9.02065i | −0.251330 | + | 0.773514i | ||||
\(137\) | 0.659483 | + | 0.479143i | 0.0563435 | + | 0.0409359i | 0.615601 | − | 0.788058i | \(-0.288914\pi\) |
−0.559257 | + | 0.828994i | \(0.688914\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.86540 | − | 8.81880i | 0.243040 | − | 0.748001i | −0.752912 | − | 0.658121i | \(-0.771352\pi\) |
0.995953 | − | 0.0898801i | \(-0.0286484\pi\) | |||||||
\(140\) | −0.295718 | − | 0.910127i | −0.0249927 | − | 0.0769198i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.30157 | −0.780570 | ||||||||
\(143\) | −8.23936 | + | 5.25824i | −0.689010 | + | 0.439716i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.152491 | + | 0.110791i | −0.0126637 | + | 0.00920070i | ||||
\(146\) | −2.47736 | − | 7.62452i | −0.205028 | − | 0.631010i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.516583 | − | 0.375320i | −0.0424629 | − | 0.0308511i | ||||
\(149\) | 5.62143 | + | 4.08421i | 0.460526 | + | 0.334592i | 0.793738 | − | 0.608260i | \(-0.208132\pi\) |
−0.333212 | + | 0.942852i | \(0.608132\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.33498 | + | 13.3417i | 0.352776 | + | 1.08573i | 0.957288 | + | 0.289136i | \(0.0933681\pi\) |
−0.604512 | + | 0.796596i | \(0.706632\pi\) | |||||||
\(152\) | −18.4380 | + | 13.3960i | −1.49552 | + | 1.08656i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.749523 | − | 2.88874i | −0.0603983 | − | 0.232781i | ||||
\(155\) | 3.20294 | 0.257266 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.226627 | + | 0.697487i | 0.0180868 | + | 0.0556655i | 0.959693 | − | 0.281052i | \(-0.0906833\pi\) |
−0.941606 | + | 0.336717i | \(0.890683\pi\) | |||||||
\(158\) | 2.32919 | − | 7.16850i | 0.185300 | − | 0.570295i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.61581 | + | 2.62704i | 0.285855 | + | 0.207686i | ||||
\(161\) | 2.32838 | − | 7.16603i | 0.183502 | − | 0.564762i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.39758 | + | 1.74195i | −0.187793 | + | 0.136440i | −0.677710 | − | 0.735330i | \(-0.737027\pi\) |
0.489916 | + | 0.871769i | \(0.337027\pi\) | |||||||
\(164\) | −5.69504 | −0.444708 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.53485 | −0.507203 | ||||||||
\(167\) | 6.50456 | − | 4.72584i | 0.503338 | − | 0.365697i | −0.306952 | − | 0.951725i | \(-0.599309\pi\) |
0.810291 | + | 0.586028i | \(0.199309\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.33338 | + | 4.10371i | −0.102567 | + | 0.315670i | ||||
\(170\) | −1.93371 | − | 1.40492i | −0.148309 | − | 0.107753i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.16470 | + | 3.58458i | −0.0888077 | + | 0.273322i | ||||
\(173\) | −1.59317 | − | 4.90326i | −0.121126 | − | 0.372788i | 0.872049 | − | 0.489418i | \(-0.162791\pi\) |
−0.993175 | + | 0.116630i | \(0.962791\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.35365 | −0.329105 | ||||||||
\(176\) | 0.518671 | + | 0.426868i | 0.0390963 | + | 0.0321764i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.84899 | + | 4.24954i | −0.438400 | + | 0.318516i | ||||
\(179\) | −1.85804 | − | 5.71844i | −0.138876 | − | 0.427417i | 0.857297 | − | 0.514823i | \(-0.172142\pi\) |
−0.996173 | + | 0.0874061i | \(0.972142\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.98246 | − | 1.44034i | −0.147355 | − | 0.107060i | 0.511665 | − | 0.859185i | \(-0.329029\pi\) |
−0.659020 | + | 0.752125i | \(0.729029\pi\) | |||||||
\(182\) | 2.14538 | + | 1.55871i | 0.159026 | + | 0.115539i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.68416 | + | 20.5717i | 0.492763 | + | 1.51657i | ||||
\(185\) | 0.348911 | − | 0.253499i | 0.0256525 | − | 0.0186376i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.46107 | + | 6.96351i | 0.618735 | + | 0.509222i | ||||
\(188\) | −13.1069 | −0.955922 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.77476 | − | 5.46215i | −0.128755 | − | 0.396266i | ||||
\(191\) | 6.57422 | − | 20.2334i | 0.475694 | − | 1.46404i | −0.369325 | − | 0.929300i | \(-0.620411\pi\) |
0.845019 | − | 0.534736i | \(-0.179589\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.79512 | + | 4.93695i | 0.489124 | + | 0.355369i | 0.804847 | − | 0.593482i | \(-0.202247\pi\) |
−0.315723 | + | 0.948851i | \(0.602247\pi\) | |||||||
\(194\) | −5.35856 | + | 16.4920i | −0.384722 | + | 1.18405i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.962982 | − | 0.699647i | 0.0687844 | − | 0.0499748i | ||||
\(197\) | −10.9646 | −0.781194 | −0.390597 | − | 0.920562i | \(-0.627731\pi\) | ||||
−0.390597 | + | 0.920562i | \(0.627731\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.26130 | 0.443852 | 0.221926 | − | 0.975064i | \(-0.428766\pi\) | ||||
0.221926 | + | 0.975064i | \(0.428766\pi\) | |||||||
\(200\) | 10.1112 | − | 7.34622i | 0.714970 | − | 0.519456i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.80474 | − | 14.7875i | 0.338060 | − | 1.04044i | ||||
\(203\) | −0.189674 | − | 0.137807i | −0.0133125 | − | 0.00967212i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.18865 | − | 3.65828i | 0.0830188 | − | 0.255506i | ||||
\(206\) | −3.99222 | − | 12.2868i | −0.278151 | − | 0.856061i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.596888 | −0.0413867 | ||||||||
\(209\) | 6.61286 | + | 25.4866i | 0.457421 | + | 1.76295i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.5270 | + | 9.82796i | −0.931239 | + | 0.676585i | −0.946296 | − | 0.323302i | \(-0.895207\pi\) |
0.0150571 | + | 0.999887i | \(0.495207\pi\) | |||||||
\(212\) | 4.31523 | + | 13.2809i | 0.296371 | + | 0.912138i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.1527 | − | 8.10293i | −0.762384 | − | 0.553905i | ||||
\(215\) | −2.05951 | − | 1.49632i | −0.140458 | − | 0.102049i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.23111 | + | 3.78896i | 0.0835730 | + | 0.257211i | ||||
\(218\) | −4.00559 | + | 2.91023i | −0.271293 | + | 0.197106i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.67548 | − | 1.70745i | 0.180381 | − | 0.115116i | ||||
\(221\) | −9.73704 | −0.654984 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.04713 | + | 12.4558i | 0.271016 | + | 0.834101i | 0.990246 | + | 0.139329i | \(0.0444947\pi\) |
−0.719230 | + | 0.694772i | \(0.755505\pi\) | |||||||
\(224\) | −1.71789 | + | 5.28712i | −0.114781 | + | 0.353261i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.87363 | + | 3.54090i | 0.324189 | + | 0.235537i | ||||
\(227\) | 4.91414 | − | 15.1242i | 0.326163 | − | 1.00383i | −0.644750 | − | 0.764393i | \(-0.723039\pi\) |
0.970913 | − | 0.239432i | \(-0.0769613\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.29405 | + | 5.29944i | −0.482004 | + | 0.350197i | −0.802101 | − | 0.597188i | \(-0.796285\pi\) |
0.320097 | + | 0.947385i | \(0.396285\pi\) | |||||||
\(230\) | −5.45088 | −0.359420 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.673044 | 0.0441875 | ||||||||
\(233\) | 2.05652 | − | 1.49415i | 0.134727 | − | 0.0978850i | −0.518381 | − | 0.855150i | \(-0.673465\pi\) |
0.653108 | + | 0.757265i | \(0.273465\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.73564 | − | 8.41942i | 0.178453 | − | 0.549222i | ||||
\(236\) | 5.05903 | + | 3.67560i | 0.329315 | + | 0.239261i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.918715 | − | 2.82751i | 0.0595514 | − | 0.183281i | ||||
\(239\) | −5.92537 | − | 18.2364i | −0.383281 | − | 1.17962i | −0.937720 | − | 0.347392i | \(-0.887067\pi\) |
0.554439 | − | 0.832224i | \(-0.312933\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.50063 | −0.483158 | −0.241579 | − | 0.970381i | \(-0.577665\pi\) | ||||
−0.241579 | + | 0.970381i | \(0.577665\pi\) | |||||||
\(242\) | 8.64945 | − | 4.81242i | 0.556008 | − | 0.309354i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.51914 | − | 2.55681i | 0.225290 | − | 0.163683i | ||||
\(245\) | 0.248438 | + | 0.764613i | 0.0158721 | + | 0.0488493i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.9282 | − | 13.7521i | −1.20437 | − | 0.875026i | ||||
\(248\) | −9.25259 | − | 6.72240i | −0.587540 | − | 0.426873i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.09102 | + | 6.43549i | 0.132248 | + | 0.407016i | ||||
\(251\) | 11.8847 | − | 8.63475i | 0.750157 | − | 0.545021i | −0.145719 | − | 0.989326i | \(-0.546549\pi\) |
0.895875 | + | 0.444305i | \(0.146549\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 24.9447 | + | 1.50582i | 1.56826 | + | 0.0946703i | ||||
\(254\) | 10.3872 | 0.651754 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.08059 | − | 15.6365i | −0.317537 | − | 0.977279i | ||||
\(257\) | −6.41213 | + | 19.7345i | −0.399978 | + | 1.23101i | 0.525038 | + | 0.851079i | \(0.324051\pi\) |
−0.925016 | + | 0.379927i | \(0.875949\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.433990 | + | 0.315312i | 0.0269668 | + | 0.0195926i | ||||
\(260\) | −0.871496 | + | 2.68219i | −0.0540479 | + | 0.166342i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.4337 | + | 11.2132i | −0.953495 | + | 0.692754i | ||||
\(263\) | 27.3462 | 1.68624 | 0.843118 | − | 0.537729i | \(-0.180717\pi\) | ||||
0.843118 | + | 0.537729i | \(0.180717\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.43185 | −0.579394 | ||||||||
\(266\) | 5.77936 | − | 4.19895i | 0.354356 | − | 0.257454i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.02952 | − | 15.4793i | 0.307227 | − | 0.945547i | ||||
\(269\) | −1.27748 | − | 0.928141i | −0.0778891 | − | 0.0565898i | 0.548159 | − | 0.836374i | \(-0.315329\pi\) |
−0.626048 | + | 0.779784i | \(0.715329\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.66658 | − | 14.3622i | 0.283474 | − | 0.872444i | −0.703377 | − | 0.710817i | \(-0.748326\pi\) |
0.986852 | − | 0.161628i | \(-0.0516744\pi\) | |||||||
\(272\) | 0.206789 | + | 0.636431i | 0.0125384 | + | 0.0385893i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.733509 | 0.0443129 | ||||||||
\(275\) | −3.62643 | − | 13.9766i | −0.218682 | − | 0.842821i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.1342 | − | 9.54256i | 0.789158 | − | 0.573357i | −0.118555 | − | 0.992947i | \(-0.537826\pi\) |
0.907714 | + | 0.419590i | \(0.137826\pi\) | |||||||
\(278\) | −2.57837 | − | 7.93540i | −0.154640 | − | 0.475933i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.86717 | − | 1.35658i | −0.111585 | − | 0.0810713i | ||||
\(281\) | 13.8234 | + | 10.0433i | 0.824633 | + | 0.599131i | 0.918036 | − | 0.396498i | \(-0.129774\pi\) |
−0.0934030 | + | 0.995628i | \(0.529774\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.0355451 | − | 0.109397i | −0.00211294 | − | 0.00650296i | 0.949994 | − | 0.312267i | \(-0.101088\pi\) |
−0.952107 | + | 0.305764i | \(0.901088\pi\) | |||||||
\(284\) | 9.95440 | − | 7.23230i | 0.590685 | − | 0.429158i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.21694 | + | 8.18571i | −0.190222 | + | 0.484031i | ||||
\(287\) | 4.78449 | 0.282420 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.87994 | − | 5.78587i | −0.110585 | − | 0.340345i | ||||
\(290\) | −0.0524116 | + | 0.161306i | −0.00307772 | + | 0.00947224i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.57956 | + | 6.23342i | 0.502081 | + | 0.364783i | ||||
\(293\) | −5.76629 | + | 17.7468i | −0.336870 | + | 1.03678i | 0.628923 | + | 0.777467i | \(0.283496\pi\) |
−0.965793 | + | 0.259313i | \(0.916504\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.41698 | + | 2.48258i | −0.198944 | + | 0.144541i | ||||
\(296\) | −1.53998 | −0.0895094 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.25243 | 0.362193 | ||||||||
\(299\) | −17.9646 | + | 13.0520i | −1.03892 | + | 0.754819i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.978486 | − | 3.01147i | 0.0563990 | − | 0.173578i | ||||
\(302\) | 10.2123 | + | 7.41964i | 0.587649 | + | 0.426952i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.496880 | + | 1.52924i | −0.0284980 | + | 0.0877078i | ||||
\(305\) | 0.907897 | + | 2.79422i | 0.0519860 | + | 0.159996i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.9263 | 0.794817 | 0.397408 | − | 0.917642i | \(-0.369910\pi\) | ||||
0.397408 | + | 0.917642i | \(0.369910\pi\) | |||||||
\(308\) | 3.04822 | + | 2.50870i | 0.173689 | + | 0.142947i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.33166 | − | 1.69405i | 0.132429 | − | 0.0962156i | ||||
\(311\) | 3.13862 | + | 9.65969i | 0.177975 | + | 0.547751i | 0.999757 | − | 0.0220516i | \(-0.00701980\pi\) |
−0.821782 | + | 0.569802i | \(0.807020\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.89853 | − | 2.83245i | −0.220358 | − | 0.160099i | 0.472130 | − | 0.881529i | \(-0.343485\pi\) |
−0.692488 | + | 0.721430i | \(0.743485\pi\) | |||||||
\(314\) | 0.533884 | + | 0.387889i | 0.0301288 | + | 0.0218899i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.08110 | + | 9.48265i | 0.173325 | + | 0.533441i | ||||
\(317\) | 6.53134 | − | 4.74530i | 0.366837 | − | 0.266523i | −0.389061 | − | 0.921212i | \(-0.627201\pi\) |
0.755898 | + | 0.654689i | \(0.227201\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.284412 | − | 0.723704i | 0.0159240 | − | 0.0405196i | ||||
\(320\) | 4.34734 | 0.243024 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.09514 | − | 6.44819i | −0.116758 | − | 0.359343i | ||||
\(323\) | −8.10560 | + | 24.9465i | −0.451008 | + | 1.38806i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.3800 | + | 7.54153i | 0.575780 | + | 0.418329i | ||||
\(326\) | −0.824058 | + | 2.53619i | −0.0456403 | + | 0.140467i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −11.1118 | + | 8.07322i | −0.613548 | + | 0.445769i | ||||
\(329\) | 11.0114 | 0.607076 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.776780 | 0.0426957 | 0.0213479 | − | 0.999772i | \(-0.493204\pi\) | ||||
0.0213479 | + | 0.999772i | \(0.493204\pi\) | |||||||
\(332\) | 6.99350 | − | 5.08107i | 0.383818 | − | 0.278860i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.23564 | − | 6.88059i | 0.122329 | − | 0.376489i | ||||
\(335\) | 8.89358 | + | 6.46156i | 0.485908 | + | 0.353033i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.0647699 | − | 0.199341i | 0.00352824 | − | 0.0108588i | −0.949277 | − | 0.314441i | \(-0.898183\pi\) |
0.952805 | + | 0.303583i | \(0.0981828\pi\) | |||||||
\(338\) | 1.19981 | + | 3.69263i | 0.0652610 | + | 0.200853i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.16180 | 0.171473 | ||||||||
\(341\) | −11.1383 | + | 7.10832i | −0.603173 | + | 0.384937i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.809017 | + | 0.587785i | −0.0436828 | + | 0.0317374i | ||||
\(344\) | 2.80897 | + | 8.64511i | 0.151449 | + | 0.466113i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.75315 | − | 2.72682i | −0.201770 | − | 0.146595i | ||||
\(347\) | 18.4431 | + | 13.3997i | 0.990079 | + | 0.719334i | 0.959938 | − | 0.280211i | \(-0.0904045\pi\) |
0.0301406 | + | 0.999546i | \(0.490405\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.33532 | − | 13.3427i | −0.232064 | − | 0.714220i | −0.997497 | − | 0.0707048i | \(-0.977475\pi\) |
0.765433 | − | 0.643516i | \(-0.222525\pi\) | |||||||
\(350\) | −3.16935 | + | 2.30267i | −0.169409 | + | 0.123083i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −18.4043 | − | 1.11100i | −0.980953 | − | 0.0592166i | ||||
\(353\) | 22.3703 | 1.19065 | 0.595327 | − | 0.803484i | \(-0.297023\pi\) | ||||
0.595327 | + | 0.803484i | \(0.297023\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.56812 | + | 7.90385i | 0.136301 | + | 0.419493i | ||||
\(356\) | 2.95534 | − | 9.09559i | 0.156633 | − | 0.482065i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.37712 | − | 3.18016i | −0.231338 | − | 0.168077i | ||||
\(359\) | 0.834999 | − | 2.56986i | 0.0440695 | − | 0.135632i | −0.926601 | − | 0.376046i | \(-0.877283\pi\) |
0.970670 | + | 0.240414i | \(0.0772833\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −35.6186 | + | 25.8784i | −1.87466 | + | 1.36202i | ||||
\(362\) | −2.20499 | −0.115892 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.50791 | −0.183864 | ||||||||
\(365\) | −5.79482 | + | 4.21018i | −0.303315 | + | 0.220371i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.73963 | − | 26.8978i | 0.456205 | − | 1.40405i | −0.413509 | − | 0.910500i | \(-0.635697\pi\) |
0.869715 | − | 0.493555i | \(-0.164303\pi\) | |||||||
\(368\) | 1.23463 | + | 0.897008i | 0.0643593 | + | 0.0467598i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.119922 | − | 0.369082i | 0.00623445 | − | 0.0191877i | ||||
\(371\) | −3.62530 | − | 11.1575i | −0.188216 | − | 0.579270i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.53857 | 0.442110 | 0.221055 | − | 0.975261i | \(-0.429050\pi\) | ||||
0.221055 | + | 0.975261i | \(0.429050\pi\) | |||||||
\(374\) | 9.84249 | + | 0.594156i | 0.508943 | + | 0.0307231i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −25.5735 | + | 18.5802i | −1.31885 | + | 0.958203i | ||||
\(377\) | 0.213511 | + | 0.657120i | 0.0109964 | + | 0.0338434i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.0587 | − | 20.3858i | −1.44128 | − | 1.04715i | −0.987773 | − | 0.155897i | \(-0.950173\pi\) |
−0.453506 | − | 0.891253i | \(-0.649827\pi\) | |||||||
\(380\) | 6.14634 | + | 4.46558i | 0.315301 | + | 0.229079i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.91566 | − | 18.2065i | −0.302672 | − | 0.931528i | ||||
\(383\) | 10.2885 | − | 7.47507i | 0.525720 | − | 0.381958i | −0.293034 | − | 0.956102i | \(-0.594665\pi\) |
0.818754 | + | 0.574144i | \(0.194665\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.24771 | + | 1.43446i | −0.114554 | + | 0.0731068i | ||||
\(386\) | 7.55786 | 0.384685 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.08842 | − | 21.8159i | −0.359860 | − | 1.10754i | ||||
\(389\) | −0.768678 | + | 2.36575i | −0.0389735 | + | 0.119948i | −0.968650 | − | 0.248428i | \(-0.920086\pi\) |
0.929677 | + | 0.368376i | \(0.120086\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 20.1404 | + | 14.6329i | 1.01855 | + | 0.740017i | ||||
\(392\) | 0.887104 | − | 2.73023i | 0.0448055 | − | 0.137897i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.98194 | + | 5.79922i | −0.402124 | + | 0.292160i | ||||
\(395\) | −6.73439 | −0.338844 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 19.1634 | 0.961781 | 0.480891 | − | 0.876781i | \(-0.340313\pi\) | ||||
0.480891 | + | 0.876781i | \(0.340313\pi\) | |||||||
\(398\) | 4.55807 | − | 3.31163i | 0.228476 | − | 0.165997i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.272484 | − | 0.838619i | 0.0136242 | − | 0.0419310i | ||||
\(401\) | −7.41873 | − | 5.39002i | −0.370474 | − | 0.269165i | 0.386934 | − | 0.922108i | \(-0.373534\pi\) |
−0.757407 | + | 0.652943i | \(0.773534\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.62813 | − | 11.1663i | 0.180730 | − | 0.556231i | ||||
\(404\) | 6.35582 | + | 19.5612i | 0.316214 | + | 0.973206i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.210965 | −0.0104700 | ||||||||
\(407\) | −0.650756 | + | 1.65589i | −0.0322568 | + | 0.0820795i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 23.9765 | − | 17.4200i | 1.18556 | − | 0.861361i | 0.192774 | − | 0.981243i | \(-0.438252\pi\) |
0.992788 | + | 0.119882i | \(0.0382516\pi\) | |||||||
\(410\) | −1.06958 | − | 3.29182i | −0.0528227 | − | 0.162572i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 13.8258 | + | 10.0451i | 0.681150 | + | 0.494884i | ||||
\(413\) | −4.25018 | − | 3.08794i | −0.209138 | − | 0.151947i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.80424 | + | 5.55287i | 0.0885666 | + | 0.272580i | ||||
\(416\) | 13.2543 | − | 9.62984i | 0.649847 | − | 0.472142i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 18.2940 | + | 15.0561i | 0.894789 | + | 0.736415i | ||||
\(419\) | −31.7616 | −1.55166 | −0.775828 | − | 0.630944i | \(-0.782668\pi\) | ||||
−0.775828 | + | 0.630944i | \(0.782668\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.83822 | + | 5.65747i | 0.0895895 | + | 0.275728i | 0.985806 | − | 0.167889i | \(-0.0536950\pi\) |
−0.896216 | + | 0.443617i | \(0.853695\pi\) | |||||||
\(422\) | −4.64928 | + | 14.3090i | −0.226324 | + | 0.696552i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 27.2465 | + | 19.7958i | 1.32321 | + | 0.961367i | ||||
\(425\) | 4.44503 | − | 13.6804i | 0.215616 | − | 0.663597i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.95649 | + | 2.14802i | −0.143075 | + | 0.103950i | ||||
\(428\) | 18.2358 | 0.881460 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.29069 | −0.110467 | ||||||||
\(431\) | 9.13425 | − | 6.63642i | 0.439981 | − | 0.319665i | −0.345646 | − | 0.938365i | \(-0.612340\pi\) |
0.785628 | + | 0.618700i | \(0.212340\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.31293 | − | 16.3515i | 0.255323 | − | 0.785804i | −0.738443 | − | 0.674316i | \(-0.764438\pi\) |
0.993766 | − | 0.111488i | \(-0.0355616\pi\) | |||||||
\(434\) | 2.90022 | + | 2.10713i | 0.139215 | + | 0.101145i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.02392 | − | 6.22898i | 0.0969281 | − | 0.298314i | ||||
\(437\) | 18.4849 | + | 56.8908i | 0.884254 | + | 2.72146i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −33.6983 | −1.60833 | −0.804167 | − | 0.594404i | \(-0.797388\pi\) | ||||
−0.804167 | + | 0.594404i | \(0.797388\pi\) | |||||||
\(440\) | 2.79978 | − | 7.12422i | 0.133474 | − | 0.339634i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.08832 | + | 5.14997i | −0.337157 | + | 0.244959i | ||||
\(443\) | 0.427271 | + | 1.31500i | 0.0203002 | + | 0.0624777i | 0.960693 | − | 0.277611i | \(-0.0895428\pi\) |
−0.940393 | + | 0.340089i | \(0.889543\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.22585 | + | 3.79680i | 0.247729 | + | 0.179986i | ||||
\(446\) | 9.53414 | + | 6.92696i | 0.451455 | + | 0.328001i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.67098 | + | 5.14274i | 0.0789463 | + | 0.242972i | ||||
\(449\) | −17.3559 | + | 12.6098i | −0.819076 | + | 0.595094i | −0.916448 | − | 0.400154i | \(-0.868956\pi\) |
0.0973716 | + | 0.995248i | \(0.468956\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.98531 | + | 15.3598i | 0.187661 | + | 0.723263i | ||||
\(452\) | −7.96886 | −0.374823 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.42187 | − | 13.6091i | −0.207529 | − | 0.638708i | ||||
\(455\) | 0.732158 | − | 2.25335i | 0.0343241 | − | 0.105639i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.86665 | + | 2.08274i | 0.134096 | + | 0.0974266i | 0.652811 | − | 0.757521i | \(-0.273589\pi\) |
−0.518715 | + | 0.854947i | \(0.673589\pi\) | |||||||
\(458\) | −2.50699 | + | 7.71572i | −0.117144 | + | 0.360532i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.83345 | − | 4.23825i | 0.271986 | − | 0.197609i | ||||
\(461\) | 20.0540 | 0.934006 | 0.467003 | − | 0.884256i | \(-0.345334\pi\) | ||||
0.467003 | + | 0.884256i | \(0.345334\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.80547 | −0.455699 | −0.227849 | − | 0.973696i | \(-0.573169\pi\) | ||||
−0.227849 | + | 0.973696i | \(0.573169\pi\) | |||||||
\(464\) | 0.0384162 | − | 0.0279110i | 0.00178343 | − | 0.00129574i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.706833 | − | 2.17541i | 0.0327434 | − | 0.100774i | ||||
\(467\) | −14.6630 | − | 10.6533i | −0.678520 | − | 0.492974i | 0.194346 | − | 0.980933i | \(-0.437742\pi\) |
−0.872867 | + | 0.487959i | \(0.837742\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.22538 | + | 13.0044i | −0.195110 | + | 0.600487i | ||||
\(470\) | −2.46160 | − | 7.57602i | −0.113545 | − | 0.349456i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.0814 | 0.694178 | ||||||||
\(473\) | 10.4828 | + | 0.632811i | 0.482001 | + | 0.0290967i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 27.9624 | − | 20.3159i | 1.28300 | − | 0.932155i | ||||
\(476\) | 1.21530 | + | 3.74030i | 0.0557030 | + | 0.171436i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.9589 | − | 10.1417i | −0.638464 | − | 0.463871i | ||||
\(479\) | −31.2418 | − | 22.6985i | −1.42747 | − | 1.03712i | −0.990480 | − | 0.137654i | \(-0.956044\pi\) |
−0.436992 | − | 0.899465i | \(-0.643956\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.488531 | − | 1.50354i | −0.0222751 | − | 0.0685557i | ||||
\(482\) | −5.46028 | + | 3.96712i | −0.248709 | + | 0.180698i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.51468 | + | 11.8754i | −0.250667 | + | 0.539792i | ||||
\(485\) | 15.4932 | 0.703511 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.07760 | + | 15.6272i | 0.230088 | + | 0.708138i | 0.997735 | + | 0.0672654i | \(0.0214274\pi\) |
−0.767647 | + | 0.640873i | \(0.778573\pi\) | |||||||
\(488\) | 3.24185 | − | 9.97740i | 0.146752 | − | 0.451656i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.585264 | + | 0.425219i | 0.0264395 | + | 0.0192094i | ||||
\(491\) | 8.06058 | − | 24.8079i | 0.363769 | − | 1.11957i | −0.586979 | − | 0.809602i | \(-0.699683\pi\) |
0.950748 | − | 0.309964i | \(-0.100317\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.626683 | − | 0.455312i | 0.0282244 | − | 0.0205062i | ||||
\(494\) | −21.0528 | −0.947210 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.806899 | −0.0362308 | ||||||||
\(497\) | −8.36286 | + | 6.07597i | −0.375125 | + | 0.272545i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.1147 | + | 31.1299i | −0.452797 | + | 1.39357i | 0.420904 | + | 0.907105i | \(0.361713\pi\) |
−0.873702 | + | 0.486462i | \(0.838287\pi\) | |||||||
\(500\) | −7.24159 | − | 5.26133i | −0.323854 | − | 0.235294i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.08482 | − | 12.5718i | 0.182314 | − | 0.561106i | ||||
\(503\) | 5.76094 | + | 17.7304i | 0.256868 | + | 0.790558i | 0.993456 | + | 0.114216i | \(0.0364356\pi\) |
−0.736588 | + | 0.676342i | \(0.763564\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.8920 | −0.618184 | ||||||||
\(506\) | 18.9556 | − | 12.0972i | 0.842678 | − | 0.537786i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.1163 | + | 8.07645i | −0.493205 | + | 0.358335i | ||||
\(509\) | 7.38282 | + | 22.7220i | 0.327238 | + | 1.00713i | 0.970420 | + | 0.241422i | \(0.0776137\pi\) |
−0.643182 | + | 0.765713i | \(0.722386\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.20783 | − | 5.23680i | −0.318856 | − | 0.231662i | ||||
\(512\) | −1.85168 | − | 1.34533i | −0.0818337 | − | 0.0594557i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.76981 | + | 17.7577i | 0.254496 | + | 0.783257i | ||||
\(515\) | −9.33826 | + | 6.78464i | −0.411493 | + | 0.298967i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.17206 | + | 35.3500i | 0.403387 | + | 1.55469i | ||||
\(518\) | 0.482705 | 0.0212088 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.10183 | + | 6.46876i | 0.0921713 | + | 0.283674i | ||||
\(521\) | 11.1315 | − | 34.2591i | 0.487678 | − | 1.50092i | −0.340385 | − | 0.940286i | \(-0.610557\pi\) |
0.828064 | − | 0.560634i | \(-0.189443\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.9277 | − | 16.6579i | −1.00256 | − | 0.728401i | −0.0399225 | − | 0.999203i | \(-0.512711\pi\) |
−0.962635 | + | 0.270802i | \(0.912711\pi\) | |||||||
\(524\) | 7.79821 | − | 24.0004i | 0.340666 | − | 1.04846i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 19.9073 | − | 14.4635i | 0.868001 | − | 0.630640i | ||||
\(527\) | −13.1629 | −0.573387 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 33.7733 | 1.46841 | ||||||||
\(530\) | −6.86615 | + | 4.98855i | −0.298247 | + | 0.216689i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.92016 | + | 8.98732i | −0.126605 | + | 0.389650i | ||||
\(533\) | −11.4073 | − | 8.28785i | −0.494103 | − | 0.358987i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.80611 | + | 11.7140i | −0.164553 | + | 0.506441i | ||||
\(536\) | −12.1299 | − | 37.3321i | −0.523933 | − | 1.61250i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.42087 | −0.0612581 | ||||||||
\(539\) | −2.56086 | − | 2.10760i | −0.110304 | − | 0.0907808i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.8075 | + | 15.1175i | −0.894582 | + | 0.649952i | −0.937069 | − | 0.349145i | \(-0.886472\pi\) |
0.0424864 | + | 0.999097i | \(0.486472\pi\) | |||||||
\(542\) | −4.19911 | − | 12.9235i | −0.180367 | − | 0.555114i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −14.8597 | − | 10.7962i | −0.637104 | − | 0.462883i | ||||
\(545\) | 3.57884 | + | 2.60018i | 0.153301 | + | 0.111380i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.2533 | + | 31.5563i | 0.438398 | + | 1.34925i | 0.889564 | + | 0.456810i | \(0.151008\pi\) |
−0.451166 | + | 0.892440i | \(0.648992\pi\) | |||||||
\(548\) | −0.784990 | + | 0.570329i | −0.0335331 | + | 0.0243632i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.0323 | − | 8.25659i | −0.427777 | − | 0.352062i | ||||
\(551\) | 1.86129 | 0.0792937 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.58848 | − | 7.96653i | −0.110073 | − | 0.338771i | ||||
\(554\) | 4.51427 | − | 13.8935i | 0.191793 | − | 0.590278i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.92938 | + | 6.48757i | 0.378690 | + | 0.275134i | ||||
\(557\) | −10.0097 | + | 30.8066i | −0.424123 | + | 1.30532i | 0.479709 | + | 0.877428i | \(0.340742\pi\) |
−0.903832 | + | 0.427888i | \(0.859258\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.54948 | + | 5.48502i | −0.319309 | + | 0.231992i | ||||
\(560\) | −0.162832 | −0.00688092 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.3750 | 0.648555 | ||||||||
\(563\) | −28.0446 | + | 20.3756i | −1.18194 | + | 0.858728i | −0.992389 | − | 0.123143i | \(-0.960702\pi\) |
−0.189549 | + | 0.981871i | \(0.560702\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.66323 | − | 5.11890i | 0.0699727 | − | 0.215354i | ||||
\(566\) | −0.0837365 | − | 0.0608381i | −0.00351971 | − | 0.00255722i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.17005 | − | 28.2225i | 0.384767 | − | 1.18419i | ||||
\(569\) | 5.70625 | + | 17.5620i | 0.239218 | + | 0.736239i | 0.996534 | + | 0.0831893i | \(0.0265106\pi\) |
−0.757315 | + | 0.653049i | \(0.773489\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.2034 | 0.594394 | 0.297197 | − | 0.954816i | \(-0.403948\pi\) | ||||
0.297197 | + | 0.954816i | \(0.403948\pi\) | |||||||
\(572\) | −2.92196 | − | 11.2615i | −0.122173 | − | 0.470867i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.48299 | − | 2.53054i | 0.145377 | − | 0.105623i | ||||
\(575\) | −10.1370 | − | 31.1984i | −0.422740 | − | 1.30106i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.6734 | − | 9.93428i | −0.569229 | − | 0.413569i | 0.265596 | − | 0.964084i | \(-0.414431\pi\) |
−0.834825 | + | 0.550515i | \(0.814431\pi\) | |||||||
\(578\) | −4.42873 | − | 3.21766i | −0.184211 | − | 0.133837i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0693313 | − | 0.213380i | −0.00287882 | − | 0.00886011i | ||||
\(581\) | −5.87535 | + | 4.26869i | −0.243751 | + | 0.177095i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.7995 | − | 20.9322i | 1.35842 | − | 0.866923i | ||||
\(584\) | 25.5764 | 1.05836 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.18866 | + | 15.9691i | 0.214342 | + | 0.659676i | ||||
\(587\) | −10.7356 | + | 33.0409i | −0.443107 | + | 1.36374i | 0.441440 | + | 0.897291i | \(0.354468\pi\) |
−0.884547 | + | 0.466451i | \(0.845532\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −25.5879 | − | 18.5907i | −1.05433 | − | 0.766016i | ||||
\(590\) | −1.17443 | + | 3.61452i | −0.0483504 | + | 0.148807i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.0878993 | + | 0.0638626i | −0.00361264 | + | 0.00262474i | ||||
\(593\) | −2.43045 | −0.0998068 | −0.0499034 | − | 0.998754i | \(-0.515891\pi\) | ||||
−0.0499034 | + | 0.998754i | \(0.515891\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.65628 | −0.108897 | ||||||||
\(596\) | −6.69126 | + | 4.86148i | −0.274084 | + | 0.199134i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.17449 | + | 19.0031i | −0.252494 | + | 0.777096i | ||||
\(599\) | −13.5264 | − | 9.82750i | −0.552674 | − | 0.401541i | 0.276097 | − | 0.961130i | \(-0.410959\pi\) |
−0.828770 | + | 0.559589i | \(0.810959\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.132866 | − | 0.408920i | 0.00541972 | − | 0.0166802i | −0.948310 | − | 0.317345i | \(-0.897209\pi\) |
0.953730 | + | 0.300665i | \(0.0972086\pi\) | |||||||
\(602\) | −0.880468 | − | 2.70980i | −0.0358852 | − | 0.110443i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −16.6980 | −0.679433 | ||||||||
\(605\) | −6.47734 | − | 6.02103i | −0.263341 | − | 0.244790i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.33931 | + | 6.78541i | −0.379071 | + | 0.275411i | −0.760962 | − | 0.648796i | \(-0.775273\pi\) |
0.381891 | + | 0.924207i | \(0.375273\pi\) | |||||||
\(608\) | −13.6383 | − | 41.9742i | −0.553104 | − | 1.70228i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.13880 | + | 1.55393i | 0.0865976 | + | 0.0629168i | ||||
\(611\) | −26.2534 | − | 19.0742i | −1.06210 | − | 0.771660i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.56380 | − | 17.1236i | −0.224720 | − | 0.691616i | −0.998320 | − | 0.0579424i | \(-0.981546\pi\) |
0.773600 | − | 0.633674i | \(-0.218454\pi\) | |||||||
\(614\) | 10.1380 | − | 7.36570i | 0.409137 | − | 0.297255i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.50383 | + | 0.573712i | 0.382920 | + | 0.0231155i | ||||
\(617\) | −32.1061 | −1.29254 | −0.646272 | − | 0.763107i | \(-0.723673\pi\) | ||||
−0.646272 | + | 0.763107i | \(0.723673\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.0866156 | − | 0.266575i | −0.00348137 | − | 0.0107146i | 0.949301 | − | 0.314369i | \(-0.101793\pi\) |
−0.952782 | + | 0.303655i | \(0.901793\pi\) | |||||||
\(620\) | −1.17813 | + | 3.62590i | −0.0473147 | + | 0.145620i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.39390 | + | 5.37198i | 0.296468 | + | 0.215397i | ||||
\(623\) | −2.48283 | + | 7.64136i | −0.0994724 | + | 0.306144i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.7197 | + | 9.24143i | −0.508790 | + | 0.369657i | ||||
\(626\) | −4.33613 | −0.173307 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.872952 | −0.0348346 | ||||||||
\(629\) | −1.43390 | + | 1.04179i | −0.0571734 | + | 0.0415389i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.37415 | − | 28.8507i | 0.373179 | − | 1.14853i | −0.571520 | − | 0.820588i | \(-0.693646\pi\) |
0.944699 | − | 0.327938i | \(-0.106354\pi\) | |||||||
\(632\) | 19.4542 | + | 14.1343i | 0.773845 | + | 0.562231i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.24484 | − | 6.90892i | 0.0891542 | − | 0.274388i | ||||
\(635\) | −2.86787 | − | 8.82639i | −0.113808 | − | 0.350264i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.94705 | 0.116766 | ||||||||
\(638\) | −0.175726 | − | 0.677265i | −0.00695706 | − | 0.0268132i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.06686 | + | 2.95475i | −0.160757 | + | 0.116797i | ||||
\(641\) | −1.21458 | − | 3.73810i | −0.0479731 | − | 0.147646i | 0.924200 | − | 0.381908i | \(-0.124733\pi\) |
−0.972174 | + | 0.234262i | \(0.924733\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.1032 | + | 8.06695i | 0.437867 | + | 0.318129i | 0.784787 | − | 0.619766i | \(-0.212772\pi\) |
−0.346920 | + | 0.937895i | \(0.612772\pi\) | |||||||
\(644\) | 7.25588 | + | 5.27171i | 0.285922 | + | 0.207734i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.29364 | + | 22.4475i | 0.286964 | + | 0.883185i | ||||
\(647\) | −1.62640 | + | 1.18165i | −0.0639403 | + | 0.0464553i | −0.619296 | − | 0.785157i | \(-0.712582\pi\) |
0.555356 | + | 0.831613i | \(0.312582\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.37303 | − | 16.2166i | 0.250163 | − | 0.636556i | ||||
\(650\) | 11.5452 | 0.452838 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.09008 | − | 3.35493i | −0.0426909 | − | 0.131389i | ||||
\(653\) | 0.245776 | − | 0.756421i | 0.00961797 | − | 0.0296011i | −0.946132 | − | 0.323780i | \(-0.895046\pi\) |
0.955750 | + | 0.294179i | \(0.0950462\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.7894 | + | 10.0186i | 0.538796 | + | 0.391458i | ||||
\(656\) | −0.299450 | + | 0.921611i | −0.0116915 | + | 0.0359829i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.01600 | − | 5.82396i | 0.312496 | − | 0.227042i | ||||
\(659\) | 21.9135 | 0.853628 | 0.426814 | − | 0.904340i | \(-0.359636\pi\) | ||||
0.426814 | + | 0.904340i | \(0.359636\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.4952 | −0.758276 | −0.379138 | − | 0.925340i | \(-0.623779\pi\) | ||||
−0.379138 | + | 0.925340i | \(0.623779\pi\) | |||||||
\(662\) | 0.565477 | − | 0.410843i | 0.0219779 | − | 0.0159679i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 6.44245 | − | 19.8278i | 0.250015 | − | 0.769468i | ||||
\(665\) | −5.16364 | − | 3.75161i | −0.200237 | − | 0.145481i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.545891 | − | 1.68008i | 0.0211370 | − | 0.0650529i | ||||
\(668\) | 2.95735 | + | 9.10180i | 0.114423 | + | 0.352159i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 9.89186 | 0.382156 | ||||||||
\(671\) | −9.35847 | − | 7.70207i | −0.361280 | − | 0.297335i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.66917 | − | 4.11889i | 0.218530 | − | 0.158772i | −0.473134 | − | 0.880990i | \(-0.656878\pi\) |
0.691665 | + | 0.722219i | \(0.256878\pi\) | |||||||
\(674\) | −0.0582818 | − | 0.179373i | −0.00224493 | − | 0.00690918i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.15517 | − | 3.01891i | −0.159814 | − | 0.116112i | ||||
\(677\) | −4.73782 | − | 3.44223i | −0.182089 | − | 0.132296i | 0.493007 | − | 0.870026i | \(-0.335898\pi\) |
−0.675096 | + | 0.737730i | \(0.735898\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.95510 | + | 18.3279i | 0.228536 | + | 0.703361i | ||||
\(680\) | 6.16913 | − | 4.48214i | 0.236576 | − | 0.171882i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −4.34879 | + | 11.0658i | −0.166524 | + | 0.423731i | ||||
\(683\) | −34.2255 | −1.30960 | −0.654802 | − | 0.755801i | \(-0.727248\pi\) | ||||
−0.654802 | + | 0.755801i | \(0.727248\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.202518 | − | 0.623286i | −0.00773782 | − | 0.0238145i | ||||
\(686\) | −0.278062 | + | 0.855786i | −0.0106165 | + | 0.0326741i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.518842 | + | 0.376961i | 0.0197807 | + | 0.0143715i | ||||
\(689\) | −10.6839 | + | 32.8818i | −0.407026 | + | 1.25270i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.1422 | + | 8.82184i | −0.461912 | + | 0.335598i | −0.794281 | − | 0.607551i | \(-0.792152\pi\) |
0.332369 | + | 0.943149i | \(0.392152\pi\) | |||||||
\(692\) | 6.13676 | 0.233285 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.5133 | 0.778675 | ||||||||
\(695\) | −6.03109 | + | 4.38184i | −0.228772 | + | 0.166213i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.88492 | + | 15.0342i | −0.185030 | + | 0.569463i | ||||
\(698\) | −10.2130 | − | 7.42021i | −0.386570 | − | 0.280859i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.60139 | − | 4.92856i | 0.0605267 | − | 0.186282i | ||||
\(701\) | −3.70534 | − | 11.4039i | −0.139949 | − | 0.430718i | 0.856378 | − | 0.516349i | \(-0.172709\pi\) |
−0.996327 | + | 0.0856309i | \(0.972709\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.25878 | −0.160623 | ||||||||
\(704\) | −15.1180 | + | 9.64810i | −0.569781 | + | 0.363626i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 16.2851 | − | 11.8318i | 0.612896 | − | 0.445295i | ||||
\(707\) | −5.33963 | − | 16.4337i | −0.200817 | − | 0.618052i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −32.0008 | − | 23.2499i | −1.20181 | − | 0.873169i | −0.207352 | − | 0.978266i | \(-0.566485\pi\) |
−0.994462 | + | 0.105098i | \(0.966485\pi\) | |||||||
\(710\) | 6.04991 | + | 4.39552i | 0.227049 | + | 0.164961i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.12752 | − | 21.9363i | −0.267115 | − | 0.822096i | ||||
\(713\) | −24.2853 | + | 17.6443i | −0.909492 | + | 0.660784i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.84385 | + | 0.473505i | 0.293343 | + | 0.0177081i | ||||
\(716\) | 7.15702 | 0.267470 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.751355 | − | 2.31243i | −0.0280403 | − | 0.0862992i | ||||
\(719\) | 13.7145 | − | 42.2089i | 0.511465 | − | 1.57413i | −0.278158 | − | 0.960535i | \(-0.589724\pi\) |
0.789623 | − | 0.613592i | \(-0.210276\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.6153 | − | 8.43902i | −0.432577 | − | 0.314285i | ||||
\(722\) | −12.2422 | + | 37.6777i | −0.455609 | + | 1.40222i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.35975 | − | 1.71446i | 0.0876994 | − | 0.0637173i | ||||
\(725\) | −1.02071 | −0.0379084 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −45.1325 | −1.67387 | −0.836935 | − | 0.547302i | \(-0.815655\pi\) | ||||
−0.836935 | + | 0.547302i | \(0.815655\pi\) | |||||||
\(728\) | −6.84443 | + | 4.97277i | −0.253671 | + | 0.184303i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.99170 | + | 6.12982i | −0.0737161 | + | 0.226875i | ||||
\(731\) | 8.46387 | + | 6.14936i | 0.313048 | + | 0.227442i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.26354 | − | 13.1218i | 0.157478 | − | 0.484666i | −0.840926 | − | 0.541150i | \(-0.817989\pi\) |
0.998404 | + | 0.0564840i | \(0.0179890\pi\) | |||||||
\(734\) | −7.86416 | − | 24.2034i | −0.290271 | − | 0.893364i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −41.8876 | −1.54400 | ||||||||
\(737\) | −45.2679 | − | 2.73266i | −1.66746 | − | 0.100659i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.5472 | − | 9.84263i | 0.498342 | − | 0.362067i | −0.310041 | − | 0.950723i | \(-0.600343\pi\) |
0.808383 | + | 0.588656i | \(0.200343\pi\) | |||||||
\(740\) | 0.158635 | + | 0.488230i | 0.00583156 | + | 0.0179477i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −8.54040 | − | 6.20496i | −0.313528 | − | 0.227791i | ||||
\(743\) | −8.81274 | − | 6.40283i | −0.323308 | − | 0.234897i | 0.414278 | − | 0.910151i | \(-0.364034\pi\) |
−0.737586 | + | 0.675253i | \(0.764034\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.72626 | − | 5.31289i | −0.0632454 | − | 0.194649i | ||||
\(746\) | 6.21587 | − | 4.51609i | 0.227579 | − | 0.165346i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.9953 | + | 7.01702i | −0.402027 | + | 0.256568i | ||||
\(749\) | −15.3202 | −0.559788 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.37184 | − | 25.7659i | −0.305493 | − | 0.940210i | −0.979493 | − | 0.201479i | \(-0.935425\pi\) |
0.674000 | − | 0.738731i | \(-0.264575\pi\) | |||||||
\(752\) | −0.689173 | + | 2.12106i | −0.0251316 | + | 0.0773470i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.502985 | + | 0.365440i | 0.0183176 | + | 0.0133086i | ||||
\(755\) | 3.48516 | − | 10.7262i | 0.126838 | − | 0.390367i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.4567 | + | 17.7688i | −0.888894 | + | 0.645820i | −0.935590 | − | 0.353090i | \(-0.885131\pi\) |
0.0466951 | + | 0.998909i | \(0.485131\pi\) | |||||||
\(758\) | −31.2082 | −1.13353 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 18.3227 | 0.664636 | ||||||||
\(761\) | 31.2246 | − | 22.6860i | 1.13189 | − | 0.822367i | 0.145922 | − | 0.989296i | \(-0.453385\pi\) |
0.985969 | + | 0.166930i | \(0.0533853\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.70033 | + | 5.23307i | −0.0615560 | + | 0.189450i | ||||
\(764\) | 20.4871 | + | 14.8847i | 0.741197 | + | 0.538511i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.53621 | − | 10.8833i | 0.127768 | − | 0.393231i | ||||
\(767\) | 4.78431 | + | 14.7246i | 0.172751 | + | 0.531674i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 40.5122 | 1.46091 | 0.730454 | − | 0.682962i | \(-0.239309\pi\) | ||||
0.730454 | + | 0.682962i | \(0.239309\pi\) | |||||||
\(770\) | −0.877587 | + | 2.23308i | −0.0316261 | + | 0.0804746i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −8.08831 | + | 5.87650i | −0.291105 | + | 0.211500i | ||||
\(773\) | 6.85839 | + | 21.1079i | 0.246679 | + | 0.759200i | 0.995356 | + | 0.0962647i | \(0.0306895\pi\) |
−0.748677 | + | 0.662935i | \(0.769310\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.0322 | + | 10.1950i | 0.504050 | + | 0.366214i | ||||
\(776\) | −44.7565 | − | 32.5175i | −1.60667 | − | 1.16731i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.691677 | + | 2.12876i | 0.0247978 | + | 0.0763199i | ||||
\(779\) | −30.7296 | + | 22.3264i | −1.10100 | + | 0.799925i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −26.4718 | − | 21.7864i | −0.947235 | − | 0.779579i | ||||
\(782\) | 22.4012 | 0.801064 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.0625875 | − | 0.192625i | −0.00223527 | − | 0.00687945i | ||||
\(785\) | 0.182200 | − | 0.560753i | 0.00650298 | − | 0.0200141i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.1985 | − | 8.86271i | −0.434829 | − | 0.315922i | 0.348748 | − | 0.937217i | \(-0.386607\pi\) |
−0.783577 | + | 0.621295i | \(0.786607\pi\) | |||||||
\(788\) | 4.03306 | − | 12.4125i | 0.143672 | − | 0.442176i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.90247 | + | 3.56185i | −0.174422 | + | 0.126725i | ||||
\(791\) | 6.69477 | 0.238039 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.7698 | 0.382446 | ||||||||
\(794\) | 13.9505 | − | 10.1356i | 0.495083 | − | 0.359699i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.30307 | + | 7.08813i | −0.0816302 | + | 0.251232i | ||||
\(797\) | 18.5731 | + | 13.4942i | 0.657894 | + | 0.477988i | 0.865951 | − | 0.500129i | \(-0.166714\pi\) |
−0.208057 | + | 0.978117i | \(0.566714\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.2425 | + | 34.6008i | −0.397731 | + | 1.22409i | ||||
\(800\) | 7.47908 | + | 23.0183i | 0.264426 | + | 0.813818i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.25146 | −0.291369 | ||||||||
\(803\) | 10.8079 | − | 27.5015i | 0.381404 | − | 0.970508i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.90078 | + | 3.56062i | −0.172730 | + | 0.125495i | ||||
\(806\) | −3.26469 | − | 10.0477i | −0.114994 | − | 0.353915i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 40.1308 | + | 29.1568i | 1.41180 | + | 1.02573i | ||||
\(809\) | 22.3327 | + | 16.2257i | 0.785176 | + | 0.570464i | 0.906528 | − | 0.422146i | \(-0.138723\pi\) |
−0.121352 | + | 0.992610i | \(0.538723\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.4600 | − | 47.5810i | −0.542874 | − | 1.67079i | −0.725992 | − | 0.687703i | \(-0.758619\pi\) |
0.183118 | − | 0.983091i | \(-0.441381\pi\) | |||||||
\(812\) | 0.225772 | − | 0.164033i | 0.00792303 | − | 0.00575642i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.402075 | + | 1.54964i | 0.0140927 | + | 0.0543148i | ||||
\(815\) | 2.38260 | 0.0834589 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.76815 | + | 23.9079i | 0.271773 | + | 0.836432i | ||||
\(818\) | 8.24081 | − | 25.3626i | 0.288133 | − | 0.886783i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.70416 | + | 2.69123i | 0.129355 | + | 0.0939817i | ||||
\(821\) | 8.39576 | − | 25.8395i | 0.293014 | − | 0.901804i | −0.690867 | − | 0.722982i | \(-0.742771\pi\) |
0.983881 | − | 0.178823i | \(-0.0572289\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.0981 | + | 10.2429i | −0.491429 | + | 0.357044i | −0.805734 | − | 0.592278i | \(-0.798229\pi\) |
0.314305 | + | 0.949322i | \(0.398229\pi\) | |||||||
\(824\) | 41.2159 | 1.43583 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.72725 | −0.164482 | ||||||||
\(827\) | 24.6382 | − | 17.9007i | 0.856754 | − | 0.622468i | −0.0702459 | − | 0.997530i | \(-0.522378\pi\) |
0.927000 | + | 0.375061i | \(0.122378\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.47131 | − | 26.0720i | 0.294221 | − | 0.905518i | −0.689262 | − | 0.724513i | \(-0.742065\pi\) |
0.983482 | − | 0.181005i | \(-0.0579351\pi\) | |||||||
\(830\) | 4.25039 | + | 3.08809i | 0.147533 | + | 0.107189i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.92446 | − | 15.1559i | 0.170725 | − | 0.525437i | ||||
\(833\) | −1.02099 | − | 3.14229i | −0.0353752 | − | 0.108874i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.46391 | −0.223693 | ||||||||
\(836\) | −31.2846 | − | 1.88854i | −1.08200 | − | 0.0653164i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −23.1217 | + | 16.7989i | −0.798725 | + | 0.580308i | ||||
\(839\) | 9.06745 | + | 27.9067i | 0.313043 | + | 0.963448i | 0.976552 | + | 0.215280i | \(0.0690663\pi\) |
−0.663509 | + | 0.748168i | \(0.730934\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4170 | + | 17.0135i | 0.807484 | + | 0.586671i | ||||
\(842\) | 4.33045 | + | 3.14625i | 0.149237 | + | 0.108427i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.15017 | − | 18.9283i | −0.211698 | − | 0.651539i | ||||
\(845\) | 2.80649 | − | 2.03903i | 0.0965461 | − | 0.0701449i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.63298 | − | 9.97675i | 0.159191 | − | 0.342805i | ||||
\(848\) | 2.37611 | 0.0815960 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.99976 | − | 12.3100i | −0.137191 | − | 0.422229i | ||||
\(851\) | −1.24904 | + | 3.84415i | −0.0428166 | + | 0.131776i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.7817 | + | 11.4661i | 0.540356 | + | 0.392591i | 0.824217 | − | 0.566274i | \(-0.191616\pi\) |
−0.283861 | + | 0.958865i | \(0.591616\pi\) | |||||||
\(854\) | −1.01616 | + | 3.12741i | −0.0347721 | + | 0.107018i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 35.5807 | − | 25.8509i | 1.21612 | − | 0.883564i | ||||
\(857\) | −10.9432 | −0.373811 | −0.186906 | − | 0.982378i | \(-0.559846\pi\) | ||||
−0.186906 | + | 0.982378i | \(0.559846\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.3191 | −0.522680 | −0.261340 | − | 0.965247i | \(-0.584164\pi\) | ||||
−0.261340 | + | 0.965247i | \(0.584164\pi\) | |||||||
\(860\) | 2.45146 | − | 1.78109i | 0.0835942 | − | 0.0607347i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.13947 | − | 9.66230i | 0.106931 | − | 0.329099i | ||||
\(863\) | 10.8904 | + | 7.91234i | 0.370714 | + | 0.269339i | 0.757507 | − | 0.652827i | \(-0.226417\pi\) |
−0.386793 | + | 0.922167i | \(0.626417\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.28084 | + | 3.94203i | −0.0435500 | + | 0.134033i | ||||
\(866\) | −4.78072 | − | 14.7135i | −0.162456 | − | 0.499987i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.74214 | −0.160959 | ||||||||
\(869\) | 23.4190 | − | 14.9457i | 0.794436 | − | 0.506998i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 32.6008 | − | 23.6859i | 1.10464 | − | 0.802566i | ||||
\(872\) | −4.88118 | − | 15.0227i | −0.165297 | − | 0.508733i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 43.5464 | + | 31.6383i | 1.47298 | + | 1.07018i | ||||
\(875\) | 6.08378 | + | 4.42013i | 0.205669 | + | 0.149428i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0.995286 | + | 3.06318i | 0.0336084 | + | 0.103436i | 0.966453 | − | 0.256842i | \(-0.0826819\pi\) |
−0.932845 | + | 0.360278i | \(0.882682\pi\) | |||||||
\(878\) | −24.5316 | + | 17.8232i | −0.827900 | + | 0.601504i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.135633 | − | 0.522744i | −0.00457220 | − | 0.0176217i | ||||
\(881\) | 19.3721 | 0.652661 | 0.326331 | − | 0.945256i | \(-0.394188\pi\) | ||||
0.326331 | + | 0.945256i | \(0.394188\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.906186 | − | 2.78895i | −0.0304956 | − | 0.0938557i | 0.934650 | − | 0.355568i | \(-0.115713\pi\) |
−0.965146 | + | 0.261713i | \(0.915713\pi\) | |||||||
\(884\) | 3.58154 | − | 11.0228i | 0.120460 | − | 0.370738i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.00655 | + | 0.731305i | 0.0338159 | + | 0.0245687i | ||||
\(887\) | −2.37525 | + | 7.31027i | −0.0797531 | + | 0.245455i | −0.982981 | − | 0.183706i | \(-0.941191\pi\) |
0.903228 | + | 0.429161i | \(0.141191\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.33897 | − | 6.78516i | 0.313219 | − | 0.227567i | ||||
\(890\) | 5.81244 | 0.194833 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −15.5893 | −0.521967 | ||||||||
\(893\) | −70.7232 | + | 51.3834i | −2.36666 | + | 1.71948i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.49379 | + | 4.59741i | −0.0499318 | + | 0.153674i | ||||
\(896\) | −5.05853 | − | 3.67524i | −0.168994 | − | 0.122781i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.96529 | + | 18.3593i | −0.199064 | + | 0.612656i | ||||
\(899\) | 0.288634 | + | 0.888323i | 0.00962647 | + | 0.0296272i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 38.7615 | 1.29133 | ||||||||
\(902\) | 11.0251 | + | 9.07368i | 0.367095 | + | 0.302121i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −15.5484 | + | 11.2966i | −0.517132 | + | 0.375718i | ||||
\(905\) | 0.608787 | + | 1.87365i | 0.0202368 | + | 0.0622824i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.3348 | + | 7.50870i | 0.343163 | + | 0.249322i | 0.745995 | − | 0.665951i | \(-0.231974\pi\) |
−0.402832 | + | 0.915274i | \(0.631974\pi\) | |||||||
\(908\) | 15.3138 | + | 11.1261i | 0.508206 | + | 0.369233i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.658816 | − | 2.02763i | −0.0218395 | − | 0.0672152i | ||||
\(911\) | 8.96644 | − | 6.51450i | 0.297071 | − | 0.215835i | −0.429258 | − | 0.903182i | \(-0.641225\pi\) |
0.726329 | + | 0.687347i | \(0.241225\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.5978 | − | 15.3061i | −0.615499 | − | 0.506558i | ||||
\(914\) | 3.18843 | 0.105464 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.31630 | − | 10.2065i | −0.109574 | − | 0.337233i | ||||
\(917\) | −6.55141 | + | 20.1632i | −0.216346 | + | 0.665846i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.9640 | − | 7.96579i | −0.361668 | − | 0.262767i | 0.392079 | − | 0.919931i | \(-0.371756\pi\) |
−0.753748 | + | 0.657164i | \(0.771756\pi\) | |||||||
\(920\) | 5.37380 | − | 16.5389i | 0.177169 | − | 0.545270i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.5988 | − | 10.6066i | 0.480786 | − | 0.349311i | ||||
\(923\) | 30.4638 | 1.00273 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.33548 | 0.0767900 | ||||||||
\(926\) | −7.13814 | + | 5.18616i | −0.234574 | + | 0.170428i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.402760 | + | 1.23957i | −0.0132212 | + | 0.0406908i | ||||
\(929\) | 34.8014 | + | 25.2847i | 1.14180 | + | 0.829565i | 0.987369 | − | 0.158439i | \(-0.0506461\pi\) |
0.154429 | + | 0.988004i | \(0.450646\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.45327 | − | 7.55040i | 0.0804027 | − | 0.247454i | ||||
\(932\) | 0.935014 | + | 2.87768i | 0.0306274 | + | 0.0942615i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.3088 | −0.533641 | ||||||||
\(935\) | −2.21259 | − | 8.52753i | −0.0723593 | − | 0.278880i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.07500 | − | 1.50757i | 0.0677872 | − | 0.0492503i | −0.553376 | − | 0.832932i | \(-0.686661\pi\) |
0.621163 | + | 0.783682i | \(0.286661\pi\) | |||||||
\(938\) | 3.80211 | + | 11.7017i | 0.124143 | + | 0.382074i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.52499 | + | 6.19377i | 0.278055 | + | 0.202018i | ||||
\(941\) | 13.4006 | + | 9.73609i | 0.436847 | + | 0.317388i | 0.784381 | − | 0.620280i | \(-0.212981\pi\) |
−0.347534 | + | 0.937667i | \(0.612981\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.1401 | + | 34.2858i | 0.362773 | + | 1.11650i | ||||
\(944\) | 0.860820 | − | 0.625423i | 0.0280173 | − | 0.0203558i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.96594 | − | 5.08375i | 0.258995 | − | 0.165287i | ||||
\(947\) | −46.5682 | −1.51326 | −0.756632 | − | 0.653841i | \(-0.773157\pi\) | ||||
−0.756632 | + | 0.653841i | \(0.773157\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.11366 | + | 24.9713i | 0.263381 | + | 0.810602i | ||||
\(950\) | 9.61076 | − | 29.5789i | 0.311814 | − | 0.959666i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.67342 | + | 5.57507i | 0.248697 | + | 0.180689i | ||||
\(953\) | 12.3450 | − | 37.9940i | 0.399894 | − | 1.23075i | −0.525190 | − | 0.850985i | \(-0.676006\pi\) |
0.925084 | − | 0.379763i | \(-0.123994\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.8374 | + | 10.0535i | −0.447768 | + | 0.325323i | ||||
\(956\) | 22.8241 | 0.738185 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −34.7486 | −1.12268 | ||||||||
\(959\) | 0.659483 | − | 0.479143i | 0.0212958 | − | 0.0154723i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.67486 | + | 14.3877i | −0.150802 | + | 0.464121i | ||||
\(962\) | −1.15087 | − | 0.836156i | −0.0371056 | − | 0.0269588i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.75893 | − | 8.49111i | 0.0888592 | − | 0.273480i | ||||
\(965\) | −2.08669 | − | 6.42216i | −0.0671728 | − | 0.206737i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 35.2572 | 1.13380 | 0.566898 | − | 0.823788i | \(-0.308143\pi\) | ||||
0.566898 | + | 0.823788i | \(0.308143\pi\) | |||||||
\(968\) | 6.07454 | + | 30.9882i | 0.195243 | + | 0.996000i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.2787 | − | 8.19445i | 0.362137 | − | 0.263108i | ||||
\(971\) | −10.7637 | − | 33.1271i | −0.345422 | − | 1.06310i | −0.961357 | − | 0.275304i | \(-0.911222\pi\) |
0.615935 | − | 0.787797i | \(-0.288778\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.50172 | − | 5.45032i | −0.240494 | − | 0.174729i | ||||
\(974\) | 11.9617 | + | 8.69068i | 0.383278 | + | 0.278467i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.228721 | − | 0.703932i | −0.00732119 | − | 0.0225323i | ||||
\(977\) | −18.7803 | + | 13.6447i | −0.600834 | + | 0.436532i | −0.846175 | − | 0.532905i | \(-0.821100\pi\) |
0.245341 | + | 0.969437i | \(0.421100\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −26.5993 | − | 1.60571i | −0.850118 | − | 0.0513186i | ||||
\(980\) | −0.956964 | −0.0305691 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −7.25313 | − | 22.3228i | −0.231457 | − | 0.712350i | ||||
\(983\) | 15.7217 | − | 48.3863i | 0.501444 | − | 1.54328i | −0.305225 | − | 0.952280i | \(-0.598732\pi\) |
0.806668 | − | 0.591004i | \(-0.201268\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.13156 | + | 5.18138i | 0.227230 | + | 0.165093i | ||||
\(986\) | 0.215393 | − | 0.662912i | 0.00685952 | − | 0.0211114i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 22.5304 | − | 16.3693i | 0.716788 | − | 0.520777i | ||||
\(989\) | 23.8586 | 0.758658 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −49.0338 | −1.55761 | −0.778805 | − | 0.627266i | \(-0.784174\pi\) | ||||
−0.778805 | + | 0.627266i | \(0.784174\pi\) | |||||||
\(992\) | 17.9178 | − | 13.0180i | 0.568890 | − | 0.413323i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.87434 | + | 8.84632i | −0.0911686 | + | 0.280588i | ||||
\(995\) | −4.07247 | − | 2.95882i | −0.129106 | − | 0.0938009i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.43407 | + | 4.41361i | −0.0454175 | + | 0.139781i | −0.971194 | − | 0.238291i | \(-0.923413\pi\) |
0.925776 | + | 0.378072i | \(0.123413\pi\) | |||||||
\(998\) | 9.10151 | + | 28.0116i | 0.288103 | + | 0.886691i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.k.190.6 | yes | 32 | |
3.2 | odd | 2 | inner | 693.2.m.k.190.3 | ✓ | 32 | |
11.2 | odd | 10 | 7623.2.a.db.1.11 | 16 | |||
11.4 | even | 5 | inner | 693.2.m.k.631.6 | yes | 32 | |
11.9 | even | 5 | 7623.2.a.dc.1.6 | 16 | |||
33.2 | even | 10 | 7623.2.a.db.1.6 | 16 | |||
33.20 | odd | 10 | 7623.2.a.dc.1.11 | 16 | |||
33.26 | odd | 10 | inner | 693.2.m.k.631.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
693.2.m.k.190.3 | ✓ | 32 | 3.2 | odd | 2 | inner | |
693.2.m.k.190.6 | yes | 32 | 1.1 | even | 1 | trivial | |
693.2.m.k.631.3 | yes | 32 | 33.26 | odd | 10 | inner | |
693.2.m.k.631.6 | yes | 32 | 11.4 | even | 5 | inner | |
7623.2.a.db.1.6 | 16 | 33.2 | even | 10 | |||
7623.2.a.db.1.11 | 16 | 11.2 | odd | 10 | |||
7623.2.a.dc.1.6 | 16 | 11.9 | even | 5 | |||
7623.2.a.dc.1.11 | 16 | 33.20 | odd | 10 |