Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(13,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.s (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.15 | ||
Character | \(\chi\) | \(=\) | 175.13 |
Dual form | 175.2.s.a.27.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78879 | − | 0.283316i | 1.26486 | − | 0.200335i | 0.512273 | − | 0.858823i | \(-0.328804\pi\) |
0.752591 | + | 0.658488i | \(0.228804\pi\) | |||||||
\(3\) | −1.39081 | − | 0.708653i | −0.802985 | − | 0.409141i | 0.00379556 | − | 0.999993i | \(-0.498792\pi\) |
−0.806780 | + | 0.590852i | \(0.798792\pi\) | |||||||
\(4\) | 1.21738 | − | 0.395551i | 0.608691 | − | 0.197776i | ||||
\(5\) | 1.39172 | − | 1.75018i | 0.622395 | − | 0.782703i | ||||
\(6\) | −2.68864 | − | 0.873591i | −1.09763 | − | 0.356642i | ||||
\(7\) | 2.56523 | − | 0.647770i | 0.969565 | − | 0.244834i | ||||
\(8\) | −1.16181 | + | 0.591970i | −0.410760 | + | 0.209293i | ||||
\(9\) | −0.331192 | − | 0.455847i | −0.110397 | − | 0.151949i | ||||
\(10\) | 1.99363 | − | 3.52499i | 0.630442 | − | 1.11470i | ||||
\(11\) | 0.835425 | + | 0.606972i | 0.251890 | + | 0.183009i | 0.706564 | − | 0.707649i | \(-0.250244\pi\) |
−0.454674 | + | 0.890658i | \(0.650244\pi\) | |||||||
\(12\) | −1.97346 | − | 0.312565i | −0.569688 | − | 0.0902297i | ||||
\(13\) | −0.435041 | + | 2.74674i | −0.120659 | + | 0.761809i | 0.850956 | + | 0.525238i | \(0.176024\pi\) |
−0.971614 | + | 0.236571i | \(0.923976\pi\) | |||||||
\(14\) | 4.40513 | − | 1.88549i | 1.17732 | − | 0.503919i | ||||
\(15\) | −3.17588 | + | 1.44792i | −0.820010 | + | 0.373851i | ||||
\(16\) | −3.98164 | + | 2.89283i | −0.995411 | + | 0.723208i | ||||
\(17\) | 2.31556 | − | 1.17984i | 0.561606 | − | 0.286152i | −0.150053 | − | 0.988678i | \(-0.547944\pi\) |
0.711659 | + | 0.702526i | \(0.247944\pi\) | |||||||
\(18\) | −0.721581 | − | 0.721581i | −0.170078 | − | 0.170078i | ||||
\(19\) | −0.972420 | + | 2.99280i | −0.223089 | + | 0.686596i | 0.775391 | + | 0.631481i | \(0.217553\pi\) |
−0.998480 | + | 0.0551150i | \(0.982447\pi\) | |||||||
\(20\) | 1.00197 | − | 2.68113i | 0.224047 | − | 0.599519i | ||||
\(21\) | −4.02679 | − | 0.916932i | −0.878717 | − | 0.200091i | ||||
\(22\) | 1.66636 | + | 0.849054i | 0.355270 | + | 0.181019i | ||||
\(23\) | 0.827245 | + | 5.22302i | 0.172492 | + | 1.08907i | 0.910265 | + | 0.414025i | \(0.135878\pi\) |
−0.737773 | + | 0.675049i | \(0.764122\pi\) | |||||||
\(24\) | 2.03535 | 0.415465 | ||||||||
\(25\) | −1.12624 | − | 4.87151i | −0.225249 | − | 0.974301i | ||||
\(26\) | 5.03659i | 0.987757i | ||||||||
\(27\) | 0.870144 | + | 5.49387i | 0.167459 | + | 1.05730i | ||||
\(28\) | 2.86664 | − | 1.80326i | 0.541743 | − | 0.340785i | ||||
\(29\) | −3.00944 | + | 0.977826i | −0.558839 | + | 0.181578i | −0.574799 | − | 0.818295i | \(-0.694920\pi\) |
0.0159597 | + | 0.999873i | \(0.494920\pi\) | |||||||
\(30\) | −5.27076 | + | 3.48980i | −0.962305 | + | 0.637148i | ||||
\(31\) | −4.28899 | − | 1.39358i | −0.770326 | − | 0.250294i | −0.102622 | − | 0.994720i | \(-0.532723\pi\) |
−0.667705 | + | 0.744426i | \(0.732723\pi\) | |||||||
\(32\) | −4.45870 | + | 4.45870i | −0.788195 | + | 0.788195i | ||||
\(33\) | −0.731785 | − | 1.43621i | −0.127387 | − | 0.250012i | ||||
\(34\) | 3.80778 | − | 2.76651i | 0.653029 | − | 0.474453i | ||||
\(35\) | 2.43636 | − | 5.39112i | 0.411820 | − | 0.911265i | ||||
\(36\) | −0.583498 | − | 0.423936i | −0.0972497 | − | 0.0706560i | ||||
\(37\) | −0.886567 | + | 5.59756i | −0.145751 | + | 0.920233i | 0.801093 | + | 0.598540i | \(0.204252\pi\) |
−0.946844 | + | 0.321694i | \(0.895748\pi\) | |||||||
\(38\) | −0.891545 | + | 5.62899i | −0.144628 | + | 0.913143i | ||||
\(39\) | 2.55155 | − | 3.51190i | 0.408574 | − | 0.562354i | ||||
\(40\) | −0.580853 | + | 2.85722i | −0.0918410 | + | 0.451766i | ||||
\(41\) | −4.02952 | − | 5.54616i | −0.629306 | − | 0.866165i | 0.368683 | − | 0.929555i | \(-0.379809\pi\) |
−0.997989 | + | 0.0633901i | \(0.979809\pi\) | |||||||
\(42\) | −7.46285 | − | 0.499342i | −1.15154 | − | 0.0770502i | ||||
\(43\) | 3.90252 | + | 3.90252i | 0.595128 | + | 0.595128i | 0.939012 | − | 0.343884i | \(-0.111743\pi\) |
−0.343884 | + | 0.939012i | \(0.611743\pi\) | |||||||
\(44\) | 1.25712 | + | 0.408463i | 0.189518 | + | 0.0615781i | ||||
\(45\) | −1.25874 | − | 0.0547649i | −0.187642 | − | 0.00816387i | ||||
\(46\) | 2.95953 | + | 9.10850i | 0.436359 | + | 1.34297i | ||||
\(47\) | 1.39721 | − | 2.74217i | 0.203804 | − | 0.399987i | −0.766370 | − | 0.642400i | \(-0.777939\pi\) |
0.970173 | + | 0.242413i | \(0.0779388\pi\) | |||||||
\(48\) | 7.58773 | − | 1.20178i | 1.09519 | − | 0.173462i | ||||
\(49\) | 6.16079 | − | 3.32336i | 0.880113 | − | 0.474765i | ||||
\(50\) | −3.39479 | − | 8.39501i | −0.480096 | − | 1.18723i | ||||
\(51\) | −4.05660 | −0.568038 | ||||||||
\(52\) | 0.556866 | + | 3.51591i | 0.0772234 | + | 0.487569i | ||||
\(53\) | 6.47178 | − | 12.7016i | 0.888967 | − | 1.74470i | 0.263097 | − | 0.964769i | \(-0.415256\pi\) |
0.625870 | − | 0.779927i | \(-0.284744\pi\) | |||||||
\(54\) | 3.11301 | + | 9.58085i | 0.423626 | + | 1.30379i | ||||
\(55\) | 2.22498 | − | 0.617409i | 0.300017 | − | 0.0832514i | ||||
\(56\) | −2.59684 | + | 2.27112i | −0.347017 | + | 0.303491i | ||||
\(57\) | 3.47331 | − | 3.47331i | 0.460051 | − | 0.460051i | ||||
\(58\) | −5.10622 | + | 2.60175i | −0.670479 | + | 0.341626i | ||||
\(59\) | 1.04394 | − | 0.758468i | 0.135910 | − | 0.0987441i | −0.517753 | − | 0.855530i | \(-0.673231\pi\) |
0.653663 | + | 0.756786i | \(0.273231\pi\) | |||||||
\(60\) | −3.29354 | + | 3.01890i | −0.425194 | + | 0.389738i | ||||
\(61\) | 8.13838 | − | 11.2015i | 1.04201 | − | 1.43421i | 0.146480 | − | 0.989214i | \(-0.453206\pi\) |
0.895533 | − | 0.444995i | \(-0.146794\pi\) | |||||||
\(62\) | −8.06693 | − | 1.27768i | −1.02450 | − | 0.162265i | ||||
\(63\) | −1.14487 | − | 0.954815i | −0.144240 | − | 0.120295i | ||||
\(64\) | −0.926783 | + | 1.27561i | −0.115848 | + | 0.159451i | ||||
\(65\) | 4.20183 | + | 4.58409i | 0.521173 | + | 0.568586i | ||||
\(66\) | −1.71591 | − | 2.36175i | −0.211214 | − | 0.290711i | ||||
\(67\) | −1.12929 | − | 2.21636i | −0.137965 | − | 0.270772i | 0.811678 | − | 0.584105i | \(-0.198554\pi\) |
−0.949643 | + | 0.313333i | \(0.898554\pi\) | |||||||
\(68\) | 2.35223 | − | 2.35223i | 0.285250 | − | 0.285250i | ||||
\(69\) | 2.55077 | − | 7.85046i | 0.307076 | − | 0.945084i | ||||
\(70\) | 2.83074 | − | 10.3338i | 0.338338 | − | 1.23513i | ||||
\(71\) | 0.0383343 | + | 0.117981i | 0.00454945 | + | 0.0140018i | 0.953305 | − | 0.302008i | \(-0.0976568\pi\) |
−0.948756 | + | 0.316009i | \(0.897657\pi\) | |||||||
\(72\) | 0.654629 | + | 0.333550i | 0.0771487 | + | 0.0393092i | ||||
\(73\) | −11.0719 | + | 1.75361i | −1.29586 | + | 0.205245i | −0.766001 | − | 0.642839i | \(-0.777757\pi\) |
−0.529863 | + | 0.848084i | \(0.677757\pi\) | |||||||
\(74\) | 10.2640i | 1.19317i | ||||||||
\(75\) | −1.88582 | + | 7.57346i | −0.217755 | + | 0.874508i | ||||
\(76\) | 4.02803i | 0.462046i | ||||||||
\(77\) | 2.53623 | + | 1.01586i | 0.289031 | + | 0.115768i | ||||
\(78\) | 3.56920 | − | 7.00494i | 0.404132 | − | 0.793154i | ||||
\(79\) | −11.8629 | + | 3.85448i | −1.33468 | + | 0.433663i | −0.887511 | − | 0.460787i | \(-0.847567\pi\) |
−0.447167 | + | 0.894450i | \(0.647567\pi\) | |||||||
\(80\) | −0.478350 | + | 10.9946i | −0.0534812 | + | 1.22923i | ||||
\(81\) | 2.16069 | − | 6.64992i | 0.240077 | − | 0.738880i | ||||
\(82\) | −8.77928 | − | 8.77928i | −0.969509 | − | 0.969509i | ||||
\(83\) | 6.97088 | + | 13.6811i | 0.765153 | + | 1.50170i | 0.862284 | + | 0.506426i | \(0.169034\pi\) |
−0.0971307 | + | 0.995272i | \(0.530966\pi\) | |||||||
\(84\) | −5.26483 | + | 0.476546i | −0.574440 | + | 0.0519954i | ||||
\(85\) | 1.15768 | − | 5.69464i | 0.125568 | − | 0.617671i | ||||
\(86\) | 8.08642 | + | 5.87513i | 0.871982 | + | 0.633532i | ||||
\(87\) | 4.87850 | + | 0.772678i | 0.523030 | + | 0.0828398i | ||||
\(88\) | −1.32991 | − | 0.210637i | −0.141769 | − | 0.0224540i | ||||
\(89\) | −10.4349 | − | 7.58140i | −1.10610 | − | 0.803627i | −0.124053 | − | 0.992276i | \(-0.539589\pi\) |
−0.982045 | + | 0.188648i | \(0.939589\pi\) | |||||||
\(90\) | −2.26713 | + | 0.258658i | −0.238977 | + | 0.0272650i | ||||
\(91\) | 0.663277 | + | 7.32782i | 0.0695303 | + | 0.768164i | ||||
\(92\) | 3.07304 | + | 6.03119i | 0.320387 | + | 0.628795i | ||||
\(93\) | 4.97761 | + | 4.97761i | 0.516154 | + | 0.516154i | ||||
\(94\) | 1.72241 | − | 5.30102i | 0.177653 | − | 0.546759i | ||||
\(95\) | 3.88460 | + | 5.86704i | 0.398552 | + | 0.601946i | ||||
\(96\) | 9.36088 | − | 3.04153i | 0.955391 | − | 0.310425i | ||||
\(97\) | −7.97400 | + | 15.6499i | −0.809637 | + | 1.58900i | −0.00150578 | + | 0.999999i | \(0.500479\pi\) |
−0.808131 | + | 0.589003i | \(0.799521\pi\) | |||||||
\(98\) | 10.0788 | − | 7.69023i | 1.01811 | − | 0.776830i | ||||
\(99\) | − | 0.581850i | − | 0.0584781i | ||||||
\(100\) | −3.29800 | − | 5.48500i | −0.329800 | − | 0.548500i | ||||
\(101\) | 0.145556i | 0.0144833i | 0.999974 | + | 0.00724166i | \(0.00230511\pi\) | ||||
−0.999974 | + | 0.00724166i | \(0.997695\pi\) | |||||||
\(102\) | −7.25640 | + | 1.14930i | −0.718490 | + | 0.113798i | ||||
\(103\) | −12.5725 | − | 6.40603i | −1.23881 | − | 0.631205i | −0.293057 | − | 0.956095i | \(-0.594673\pi\) |
−0.945752 | + | 0.324890i | \(0.894673\pi\) | |||||||
\(104\) | −1.12055 | − | 3.44871i | −0.109879 | − | 0.338174i | ||||
\(105\) | −7.20895 | + | 5.77149i | −0.703521 | + | 0.563239i | ||||
\(106\) | 7.97808 | − | 24.5540i | 0.774899 | − | 2.38490i | ||||
\(107\) | 1.64423 | − | 1.64423i | 0.158954 | − | 0.158954i | −0.623149 | − | 0.782103i | \(-0.714147\pi\) |
0.782103 | + | 0.623149i | \(0.214147\pi\) | |||||||
\(108\) | 3.23241 | + | 6.34395i | 0.311038 | + | 0.610447i | ||||
\(109\) | −2.78458 | − | 3.83265i | −0.266715 | − | 0.367101i | 0.654562 | − | 0.756008i | \(-0.272853\pi\) |
−0.921277 | + | 0.388907i | \(0.872853\pi\) | |||||||
\(110\) | 3.80510 | − | 1.73479i | 0.362802 | − | 0.165406i | ||||
\(111\) | 5.19978 | − | 7.15688i | 0.493541 | − | 0.679301i | ||||
\(112\) | −8.33993 | + | 9.99997i | −0.788050 | + | 0.944908i | ||||
\(113\) | 8.11110 | + | 1.28467i | 0.763029 | + | 0.120852i | 0.525807 | − | 0.850604i | \(-0.323763\pi\) |
0.237221 | + | 0.971456i | \(0.423763\pi\) | |||||||
\(114\) | 5.22897 | − | 7.19706i | 0.489738 | − | 0.674067i | ||||
\(115\) | 10.2925 | + | 5.82114i | 0.959781 | + | 0.542824i | ||||
\(116\) | −3.27686 | + | 2.38078i | −0.304249 | + | 0.221050i | ||||
\(117\) | 1.39618 | − | 0.711387i | 0.129076 | − | 0.0657677i | ||||
\(118\) | 1.65250 | − | 1.65250i | 0.152125 | − | 0.152125i | ||||
\(119\) | 5.17568 | − | 4.52650i | 0.474453 | − | 0.414944i | ||||
\(120\) | 2.83264 | − | 3.56223i | 0.258583 | − | 0.325186i | ||||
\(121\) | −3.06967 | − | 9.44746i | −0.279061 | − | 0.858860i | ||||
\(122\) | 11.3843 | − | 22.3429i | 1.03068 | − | 2.02283i | ||||
\(123\) | 1.67400 | + | 10.5692i | 0.150939 | + | 0.952992i | ||||
\(124\) | −5.77258 | −0.518393 | ||||||||
\(125\) | −10.0934 | − | 4.80863i | −0.902783 | − | 0.430097i | ||||
\(126\) | −2.31844 | − | 1.38360i | −0.206543 | − | 0.123261i | ||||
\(127\) | 7.41986 | − | 1.17519i | 0.658406 | − | 0.104281i | 0.181714 | − | 0.983351i | \(-0.441836\pi\) |
0.476693 | + | 0.879070i | \(0.341836\pi\) | |||||||
\(128\) | 4.42891 | − | 8.69222i | 0.391464 | − | 0.768291i | ||||
\(129\) | −2.66213 | − | 8.19319i | −0.234387 | − | 0.721370i | ||||
\(130\) | 8.81493 | + | 7.00951i | 0.773120 | + | 0.614775i | ||||
\(131\) | 16.2128 | + | 5.26785i | 1.41652 | + | 0.460254i | 0.914494 | − | 0.404600i | \(-0.132589\pi\) |
0.502023 | + | 0.864854i | \(0.332589\pi\) | |||||||
\(132\) | −1.45896 | − | 1.45896i | −0.126986 | − | 0.126986i | ||||
\(133\) | −0.555833 | + | 8.30712i | −0.0481968 | + | 0.720319i | ||||
\(134\) | −2.64800 | − | 3.64466i | −0.228752 | − | 0.314850i | ||||
\(135\) | 10.8262 | + | 6.12301i | 0.931775 | + | 0.526985i | ||||
\(136\) | −1.99180 | + | 2.74148i | −0.170796 | + | 0.235080i | ||||
\(137\) | 0.224933 | − | 1.42017i | 0.0192174 | − | 0.121334i | −0.976215 | − | 0.216806i | \(-0.930436\pi\) |
0.995432 | + | 0.0954723i | \(0.0304361\pi\) | |||||||
\(138\) | 2.33862 | − | 14.7655i | 0.199077 | − | 1.25692i | ||||
\(139\) | −2.47073 | − | 1.79509i | −0.209565 | − | 0.152258i | 0.478052 | − | 0.878332i | \(-0.341343\pi\) |
−0.687617 | + | 0.726074i | \(0.741343\pi\) | |||||||
\(140\) | 0.833516 | − | 7.52675i | 0.0704450 | − | 0.636127i | ||||
\(141\) | −3.88650 | + | 2.82371i | −0.327302 | + | 0.237799i | ||||
\(142\) | 0.101998 | + | 0.200182i | 0.00855947 | + | 0.0167989i | ||||
\(143\) | −2.03064 | + | 2.03064i | −0.169810 | + | 0.169810i | ||||
\(144\) | 2.63738 | + | 0.856936i | 0.219782 | + | 0.0714113i | ||||
\(145\) | −2.47692 | + | 6.62791i | −0.205697 | + | 0.550418i | ||||
\(146\) | −19.3084 | + | 6.27368i | −1.59797 | + | 0.519213i | ||||
\(147\) | −10.9236 | + | 0.256294i | −0.900963 | + | 0.0211388i | ||||
\(148\) | 1.13483 | + | 7.16505i | 0.0932827 | + | 0.588964i | ||||
\(149\) | 12.9556i | 1.06137i | 0.847570 | + | 0.530684i | \(0.178065\pi\) | ||||
−0.847570 | + | 0.530684i | \(0.821935\pi\) | |||||||
\(150\) | −1.22764 | + | 14.0816i | −0.100236 | + | 1.14976i | ||||
\(151\) | −23.8651 | −1.94212 | −0.971058 | − | 0.238843i | \(-0.923232\pi\) | ||||
−0.971058 | + | 0.238843i | \(0.923232\pi\) | |||||||
\(152\) | −0.641884 | − | 4.05270i | −0.0520637 | − | 0.328717i | ||||
\(153\) | −1.30472 | − | 0.664788i | −0.105480 | − | 0.0537449i | ||||
\(154\) | 4.82459 | + | 1.09860i | 0.388777 | + | 0.0885276i | ||||
\(155\) | −8.40808 | + | 5.56704i | −0.675353 | + | 0.447155i | ||||
\(156\) | 1.71707 | − | 5.28459i | 0.137475 | − | 0.423106i | ||||
\(157\) | 9.66124 | + | 9.66124i | 0.771051 | + | 0.771051i | 0.978290 | − | 0.207239i | \(-0.0664479\pi\) |
−0.207239 | + | 0.978290i | \(0.566448\pi\) | |||||||
\(158\) | −20.1281 | + | 10.2558i | −1.60131 | + | 0.815907i | ||||
\(159\) | −18.0020 | + | 13.0792i | −1.42765 | + | 1.03725i | ||||
\(160\) | 1.59827 | + | 14.0088i | 0.126354 | + | 1.10749i | ||||
\(161\) | 5.50538 | + | 12.8624i | 0.433885 | + | 1.01370i | ||||
\(162\) | 1.98099 | − | 12.5075i | 0.155641 | − | 0.982679i | ||||
\(163\) | −17.6474 | − | 2.79507i | −1.38225 | − | 0.218927i | −0.579368 | − | 0.815066i | \(-0.696701\pi\) |
−0.802881 | + | 0.596139i | \(0.796701\pi\) | |||||||
\(164\) | −7.09926 | − | 5.15791i | −0.554359 | − | 0.402765i | ||||
\(165\) | −3.53206 | − | 0.718043i | −0.274970 | − | 0.0558996i | ||||
\(166\) | 16.3455 | + | 22.4977i | 1.26866 | + | 1.74616i | ||||
\(167\) | 22.7709 | − | 11.6024i | 1.76207 | − | 0.897817i | 0.813294 | − | 0.581853i | \(-0.197672\pi\) |
0.948771 | − | 0.315964i | \(-0.102328\pi\) | |||||||
\(168\) | 5.22114 | − | 1.31844i | 0.402820 | − | 0.101720i | ||||
\(169\) | 5.00841 | + | 1.62733i | 0.385262 | + | 0.125179i | ||||
\(170\) | 0.457462 | − | 10.5145i | 0.0350857 | − | 0.806425i | ||||
\(171\) | 1.68632 | − | 0.547918i | 0.128956 | − | 0.0419003i | ||||
\(172\) | 6.29450 | + | 3.20721i | 0.479951 | + | 0.244547i | ||||
\(173\) | 4.17243 | − | 0.660848i | 0.317224 | − | 0.0502433i | 0.00420777 | − | 0.999991i | \(-0.498661\pi\) |
0.313016 | + | 0.949748i | \(0.398661\pi\) | |||||||
\(174\) | 8.94551 | 0.678158 | ||||||||
\(175\) | −6.04469 | − | 11.7670i | −0.456936 | − | 0.889500i | ||||
\(176\) | −5.08223 | −0.383088 | ||||||||
\(177\) | −1.98942 | + | 0.315092i | −0.149534 | + | 0.0236838i | ||||
\(178\) | −20.8138 | − | 10.6051i | −1.56006 | − | 0.794889i | ||||
\(179\) | 0.493488 | − | 0.160344i | 0.0368850 | − | 0.0119847i | −0.290516 | − | 0.956870i | \(-0.593827\pi\) |
0.327401 | + | 0.944885i | \(0.393827\pi\) | |||||||
\(180\) | −1.55403 | + | 0.431226i | −0.115830 | + | 0.0321417i | ||||
\(181\) | 0.633159 | + | 0.205726i | 0.0470623 | + | 0.0152915i | 0.332454 | − | 0.943120i | \(-0.392124\pi\) |
−0.285391 | + | 0.958411i | \(0.592124\pi\) | |||||||
\(182\) | 3.26255 | + | 12.9200i | 0.241836 | + | 0.957694i | ||||
\(183\) | −19.2569 | + | 9.81190i | −1.42351 | + | 0.725317i | ||||
\(184\) | −4.05297 | − | 5.57843i | −0.298789 | − | 0.411247i | ||||
\(185\) | 8.56288 | + | 9.34187i | 0.629555 | + | 0.686828i | ||||
\(186\) | 10.3141 | + | 7.49366i | 0.756269 | + | 0.549462i | ||||
\(187\) | 2.65060 | + | 0.419814i | 0.193831 | + | 0.0306999i | ||||
\(188\) | 0.616265 | − | 3.89094i | 0.0449457 | − | 0.283776i | ||||
\(189\) | 5.79088 | + | 13.5294i | 0.421225 | + | 0.984118i | ||||
\(190\) | 8.61096 | + | 9.39433i | 0.624705 | + | 0.681536i | ||||
\(191\) | 3.83767 | − | 2.78823i | 0.277684 | − | 0.201749i | −0.440223 | − | 0.897889i | \(-0.645100\pi\) |
0.717907 | + | 0.696139i | \(0.245100\pi\) | |||||||
\(192\) | 2.19294 | − | 1.11736i | 0.158262 | − | 0.0806385i | ||||
\(193\) | −6.57906 | − | 6.57906i | −0.473571 | − | 0.473571i | 0.429497 | − | 0.903068i | \(-0.358691\pi\) |
−0.903068 | + | 0.429497i | \(0.858691\pi\) | |||||||
\(194\) | −9.82994 | + | 30.2534i | −0.705748 | + | 2.17207i | ||||
\(195\) | −2.59542 | − | 9.35323i | −0.185862 | − | 0.669799i | ||||
\(196\) | 6.18547 | − | 6.48270i | 0.441820 | − | 0.463050i | ||||
\(197\) | −8.15645 | − | 4.15592i | −0.581123 | − | 0.296097i | 0.138611 | − | 0.990347i | \(-0.455736\pi\) |
−0.719734 | + | 0.694250i | \(0.755736\pi\) | |||||||
\(198\) | −0.164848 | − | 1.04081i | −0.0117152 | − | 0.0739669i | ||||
\(199\) | −1.61670 | −0.114605 | −0.0573024 | − | 0.998357i | \(-0.518250\pi\) | ||||
−0.0573024 | + | 0.998357i | \(0.518250\pi\) | |||||||
\(200\) | 4.19226 | + | 4.99304i | 0.296438 | + | 0.353061i | ||||
\(201\) | 3.88282i | 0.273873i | ||||||||
\(202\) | 0.0412382 | + | 0.260368i | 0.00290151 | + | 0.0183194i | ||||
\(203\) | −7.08649 | + | 4.45777i | −0.497374 | + | 0.312874i | ||||
\(204\) | −4.93843 | + | 1.60459i | −0.345759 | + | 0.112344i | ||||
\(205\) | −15.3147 | − | 0.666310i | −1.06963 | − | 0.0465371i | ||||
\(206\) | −24.3045 | − | 7.89702i | −1.69338 | − | 0.550212i | ||||
\(207\) | 2.10692 | − | 2.10692i | 0.146441 | − | 0.146441i | ||||
\(208\) | −6.21369 | − | 12.1950i | −0.430842 | − | 0.845574i | ||||
\(209\) | −2.62893 | + | 1.91003i | −0.181847 | + | 0.132120i | ||||
\(210\) | −11.2601 | + | 12.3664i | −0.777022 | + | 0.853361i | ||||
\(211\) | 8.16884 | + | 5.93501i | 0.562366 | + | 0.408583i | 0.832324 | − | 0.554289i | \(-0.187010\pi\) |
−0.269958 | + | 0.962872i | \(0.587010\pi\) | |||||||
\(212\) | 2.85450 | − | 18.0226i | 0.196048 | − | 1.23780i | ||||
\(213\) | 0.0302918 | − | 0.191255i | 0.00207556 | − | 0.0131046i | ||||
\(214\) | 2.47534 | − | 3.40702i | 0.169211 | − | 0.232899i | ||||
\(215\) | 12.2613 | − | 1.39890i | 0.836214 | − | 0.0954040i | ||||
\(216\) | −4.26314 | − | 5.86771i | −0.290070 | − | 0.399247i | ||||
\(217\) | −11.9050 | − | 0.796565i | −0.808162 | − | 0.0540744i | ||||
\(218\) | −6.06688 | − | 6.06688i | −0.410901 | − | 0.410901i | ||||
\(219\) | 16.6416 | + | 5.40717i | 1.12453 | + | 0.365383i | ||||
\(220\) | 2.46444 | − | 1.63172i | 0.166152 | − | 0.110010i | ||||
\(221\) | 2.23334 | + | 6.87352i | 0.150231 | + | 0.462363i | ||||
\(222\) | 7.27364 | − | 14.2753i | 0.488175 | − | 0.958097i | ||||
\(223\) | −8.26776 | + | 1.30948i | −0.553650 | + | 0.0876895i | −0.426989 | − | 0.904257i | \(-0.640426\pi\) |
−0.126660 | + | 0.991946i | \(0.540426\pi\) | |||||||
\(224\) | −8.54937 | + | 14.3258i | −0.571229 | + | 0.957183i | ||||
\(225\) | −1.84766 | + | 2.12680i | −0.123177 | + | 0.141787i | ||||
\(226\) | 14.8730 | 0.989338 | ||||||||
\(227\) | −3.50330 | − | 22.1190i | −0.232522 | − | 1.46809i | −0.777100 | − | 0.629377i | \(-0.783310\pi\) |
0.544578 | − | 0.838710i | \(-0.316690\pi\) | |||||||
\(228\) | 2.85447 | − | 5.60222i | 0.189042 | − | 0.371016i | ||||
\(229\) | 4.76989 | + | 14.6802i | 0.315203 | + | 0.970096i | 0.975671 | + | 0.219241i | \(0.0703582\pi\) |
−0.660467 | + | 0.750855i | \(0.729642\pi\) | |||||||
\(230\) | 20.0603 | + | 7.49675i | 1.32274 | + | 0.494321i | ||||
\(231\) | −2.80753 | − | 3.21017i | −0.184722 | − | 0.211214i | ||||
\(232\) | 2.91754 | − | 2.91754i | 0.191546 | − | 0.191546i | ||||
\(233\) | 22.3931 | − | 11.4099i | 1.46702 | − | 0.747485i | 0.475782 | − | 0.879563i | \(-0.342165\pi\) |
0.991239 | + | 0.132078i | \(0.0421651\pi\) | |||||||
\(234\) | 2.29591 | − | 1.66808i | 0.150089 | − | 0.109046i | ||||
\(235\) | −2.85477 | − | 6.26169i | −0.186225 | − | 0.408468i | ||||
\(236\) | 0.970862 | − | 1.33628i | 0.0631978 | − | 0.0869843i | ||||
\(237\) | 19.2305 | + | 3.04581i | 1.24916 | + | 0.197847i | ||||
\(238\) | 7.97576 | − | 9.56330i | 0.516992 | − | 0.619897i | ||||
\(239\) | −7.38268 | + | 10.1614i | −0.477546 | + | 0.657285i | −0.978031 | − | 0.208460i | \(-0.933155\pi\) |
0.500485 | + | 0.865745i | \(0.333155\pi\) | |||||||
\(240\) | 8.45665 | − | 14.9524i | 0.545874 | − | 0.965174i | ||||
\(241\) | −0.473125 | − | 0.651201i | −0.0304767 | − | 0.0419475i | 0.793507 | − | 0.608561i | \(-0.208253\pi\) |
−0.823983 | + | 0.566614i | \(0.808253\pi\) | |||||||
\(242\) | −8.16760 | − | 16.0298i | −0.525033 | − | 1.03044i | ||||
\(243\) | 4.08193 | − | 4.08193i | 0.261856 | − | 0.261856i | ||||
\(244\) | 5.47674 | − | 16.8557i | 0.350613 | − | 1.07907i | ||||
\(245\) | 2.75761 | − | 15.4076i | 0.176178 | − | 0.984358i | ||||
\(246\) | 5.98885 | + | 18.4318i | 0.381835 | + | 1.17517i | ||||
\(247\) | −7.79741 | − | 3.97298i | −0.496137 | − | 0.252795i | ||||
\(248\) | 5.80794 | − | 0.919887i | 0.368804 | − | 0.0584129i | ||||
\(249\) | − | 23.9678i | − | 1.51890i | ||||||
\(250\) | −19.4173 | − | 5.74199i | −1.22806 | − | 0.363156i | ||||
\(251\) | 12.0091i | 0.758010i | 0.925395 | + | 0.379005i | \(0.123734\pi\) | ||||
−0.925395 | + | 0.379005i | \(0.876266\pi\) | |||||||
\(252\) | −1.77142 | − | 0.709520i | −0.111589 | − | 0.0446956i | ||||
\(253\) | −2.47912 | + | 4.86555i | −0.155861 | + | 0.305895i | ||||
\(254\) | 12.9396 | − | 4.20434i | 0.811904 | − | 0.263803i | ||||
\(255\) | −5.64564 | + | 7.09977i | −0.353544 | + | 0.444605i | ||||
\(256\) | 6.43421 | − | 19.8025i | 0.402138 | − | 1.23765i | ||||
\(257\) | −6.17225 | − | 6.17225i | −0.385014 | − | 0.385014i | 0.487891 | − | 0.872905i | \(-0.337767\pi\) |
−0.872905 | + | 0.487891i | \(0.837767\pi\) | |||||||
\(258\) | −7.08325 | − | 13.9017i | −0.440984 | − | 0.865480i | ||||
\(259\) | 1.35169 | + | 14.9333i | 0.0839897 | + | 0.927911i | ||||
\(260\) | 6.92847 | + | 3.91854i | 0.429686 | + | 0.243018i | ||||
\(261\) | 1.44244 | + | 1.04800i | 0.0892849 | + | 0.0648693i | ||||
\(262\) | 30.4937 | + | 4.82973i | 1.88391 | + | 0.298381i | ||||
\(263\) | 14.4215 | + | 2.28414i | 0.889268 | + | 0.140846i | 0.584320 | − | 0.811523i | \(-0.301361\pi\) |
0.304947 | + | 0.952369i | \(0.401361\pi\) | |||||||
\(264\) | 1.70038 | + | 1.23540i | 0.104651 | + | 0.0760337i | ||||
\(265\) | −13.2231 | − | 29.0038i | −0.812291 | − | 1.78169i | ||||
\(266\) | 1.35928 | + | 15.0172i | 0.0833426 | + | 0.920761i | ||||
\(267\) | 9.14039 | + | 17.9390i | 0.559383 | + | 1.09785i | ||||
\(268\) | −2.25147 | − | 2.25147i | −0.137530 | − | 0.137530i | ||||
\(269\) | 3.02741 | − | 9.31743i | 0.184585 | − | 0.568093i | −0.815356 | − | 0.578960i | \(-0.803459\pi\) |
0.999941 | + | 0.0108662i | \(0.00345888\pi\) | |||||||
\(270\) | 21.1006 | + | 7.88552i | 1.28414 | + | 0.479897i | ||||
\(271\) | 14.1169 | − | 4.58686i | 0.857541 | − | 0.278632i | 0.152940 | − | 0.988235i | \(-0.451126\pi\) |
0.704601 | + | 0.709603i | \(0.251126\pi\) | |||||||
\(272\) | −5.80666 | + | 11.3962i | −0.352081 | + | 0.690997i | ||||
\(273\) | 4.27039 | − | 10.6616i | 0.258456 | − | 0.645272i | ||||
\(274\) | − | 2.60412i | − | 0.157320i | ||||||
\(275\) | 2.01597 | − | 4.75338i | 0.121568 | − | 0.286639i | ||||
\(276\) | − | 10.5660i | − | 0.635996i | ||||||
\(277\) | 27.6441 | − | 4.37839i | 1.66097 | − | 0.263072i | 0.745810 | − | 0.666159i | \(-0.232063\pi\) |
0.915162 | + | 0.403087i | \(0.132063\pi\) | |||||||
\(278\) | −4.92820 | − | 2.51104i | −0.295574 | − | 0.150602i | ||||
\(279\) | 0.785223 | + | 2.41667i | 0.0470101 | + | 0.144682i | ||||
\(280\) | 0.360801 | + | 7.70568i | 0.0215620 | + | 0.460503i | ||||
\(281\) | −2.08590 | + | 6.41973i | −0.124434 | + | 0.382969i | −0.993798 | − | 0.111204i | \(-0.964529\pi\) |
0.869363 | + | 0.494173i | \(0.164529\pi\) | |||||||
\(282\) | −6.15213 | + | 6.15213i | −0.366354 | + | 0.366354i | ||||
\(283\) | −4.77650 | − | 9.37440i | −0.283933 | − | 0.557250i | 0.704355 | − | 0.709848i | \(-0.251236\pi\) |
−0.988288 | + | 0.152597i | \(0.951236\pi\) | |||||||
\(284\) | 0.0933350 | + | 0.128465i | 0.00553841 | + | 0.00762297i | ||||
\(285\) | −1.24504 | − | 10.9128i | −0.0737501 | − | 0.646417i | ||||
\(286\) | −3.05707 | + | 4.20769i | −0.180768 | + | 0.248806i | ||||
\(287\) | −13.9293 | − | 11.6170i | −0.822219 | − | 0.685728i | ||||
\(288\) | 3.50917 | + | 0.555798i | 0.206780 | + | 0.0327507i | ||||
\(289\) | −6.02255 | + | 8.28932i | −0.354267 | + | 0.487607i | ||||
\(290\) | −2.55289 | + | 12.5577i | −0.149911 | + | 0.737413i | ||||
\(291\) | 22.1806 | − | 16.1152i | 1.30025 | − | 0.944688i | ||||
\(292\) | −12.7850 | + | 6.51431i | −0.748188 | + | 0.381221i | ||||
\(293\) | −10.4962 | + | 10.4962i | −0.613196 | + | 0.613196i | −0.943777 | − | 0.330582i | \(-0.892755\pi\) |
0.330582 | + | 0.943777i | \(0.392755\pi\) | |||||||
\(294\) | −19.4674 | + | 3.55329i | −1.13536 | + | 0.207232i | ||||
\(295\) | 0.125418 | − | 2.88266i | 0.00730211 | − | 0.167835i | ||||
\(296\) | −2.28357 | − | 7.02810i | −0.132730 | − | 0.408500i | ||||
\(297\) | −2.60768 | + | 5.11787i | −0.151313 | + | 0.296969i | ||||
\(298\) | 3.67054 | + | 23.1749i | 0.212629 | + | 1.34249i | ||||
\(299\) | −14.7062 | −0.850479 | ||||||||
\(300\) | 0.699934 | + | 9.96573i | 0.0404107 | + | 0.575371i | ||||
\(301\) | 12.5388 | + | 7.48291i | 0.722723 | + | 0.431308i | ||||
\(302\) | −42.6896 | + | 6.76138i | −2.45651 | + | 0.389073i | ||||
\(303\) | 0.103148 | − | 0.202440i | 0.00592572 | − | 0.0116299i | ||||
\(304\) | −4.78585 | − | 14.7293i | −0.274487 | − | 0.844785i | ||||
\(305\) | −8.27833 | − | 29.8330i | −0.474016 | − | 1.70823i | ||||
\(306\) | −2.52221 | − | 0.819517i | −0.144185 | − | 0.0468486i | ||||
\(307\) | −2.90879 | − | 2.90879i | −0.166013 | − | 0.166013i | 0.619211 | − | 0.785224i | \(-0.287452\pi\) |
−0.785224 | + | 0.619211i | \(0.787452\pi\) | |||||||
\(308\) | 3.48939 | + | 0.233476i | 0.198826 | + | 0.0133035i | ||||
\(309\) | 12.9464 | + | 17.8191i | 0.736493 | + | 1.01370i | ||||
\(310\) | −13.4630 | + | 12.3404i | −0.764649 | + | 0.700887i | ||||
\(311\) | 0.646948 | − | 0.890448i | 0.0366851 | − | 0.0504927i | −0.790280 | − | 0.612745i | \(-0.790065\pi\) |
0.826966 | + | 0.562253i | \(0.190065\pi\) | |||||||
\(312\) | −0.885462 | + | 5.59059i | −0.0501294 | + | 0.316505i | ||||
\(313\) | 1.76305 | − | 11.1314i | 0.0996532 | − | 0.629186i | −0.886421 | − | 0.462880i | \(-0.846816\pi\) |
0.986074 | − | 0.166306i | \(-0.0531839\pi\) | |||||||
\(314\) | 20.0191 | + | 14.5447i | 1.12974 | + | 0.820806i | ||||
\(315\) | −3.26443 | + | 0.674889i | −0.183930 | + | 0.0380257i | ||||
\(316\) | −12.9170 | + | 9.38475i | −0.726638 | + | 0.527934i | ||||
\(317\) | 2.96805 | + | 5.82513i | 0.166702 | + | 0.327172i | 0.959212 | − | 0.282688i | \(-0.0912259\pi\) |
−0.792510 | + | 0.609859i | \(0.791226\pi\) | |||||||
\(318\) | −28.4963 | + | 28.4963i | −1.59799 | + | 1.59799i | ||||
\(319\) | −3.10767 | − | 1.00974i | −0.173996 | − | 0.0565348i | ||||
\(320\) | 0.942720 | + | 3.39732i | 0.0526996 | + | 0.189916i | ||||
\(321\) | −3.45200 | + | 1.12162i | −0.192672 | + | 0.0626029i | ||||
\(322\) | 13.4921 | + | 21.4483i | 0.751884 | + | 1.19527i | ||||
\(323\) | 1.27932 | + | 8.07731i | 0.0711833 | + | 0.449434i | ||||
\(324\) | − | 8.95016i | − | 0.497231i | ||||||
\(325\) | 13.8707 | − | 0.974198i | 0.769409 | − | 0.0540388i | ||||
\(326\) | −32.3593 | −1.79222 | ||||||||
\(327\) | 1.15681 | + | 7.30380i | 0.0639716 | + | 0.403901i | ||||
\(328\) | 7.96468 | + | 4.05821i | 0.439776 | + | 0.224077i | ||||
\(329\) | 1.80786 | − | 7.93937i | 0.0996704 | − | 0.437712i | ||||
\(330\) | −6.52154 | − | 0.283738i | −0.358999 | − | 0.0156192i | ||||
\(331\) | 1.12574 | − | 3.46467i | 0.0618763 | − | 0.190436i | −0.915340 | − | 0.402682i | \(-0.868078\pi\) |
0.977216 | + | 0.212246i | \(0.0680780\pi\) | |||||||
\(332\) | 13.8978 | + | 13.8978i | 0.762741 | + | 0.762741i | ||||
\(333\) | 2.84525 | − | 1.44973i | 0.155919 | − | 0.0794447i | ||||
\(334\) | 37.4452 | − | 27.2055i | 2.04891 | − | 1.48862i | ||||
\(335\) | −5.45069 | − | 1.10809i | −0.297803 | − | 0.0605413i | ||||
\(336\) | 18.6858 | − | 7.99794i | 1.01939 | − | 0.436323i | ||||
\(337\) | −1.05961 | + | 6.69008i | −0.0577204 | + | 0.364432i | 0.941874 | + | 0.335965i | \(0.109062\pi\) |
−0.999595 | + | 0.0284668i | \(0.990938\pi\) | |||||||
\(338\) | 9.42004 | + | 1.49199i | 0.512382 | + | 0.0811534i | ||||
\(339\) | −10.3706 | − | 7.53470i | −0.563255 | − | 0.409229i | ||||
\(340\) | −0.843183 | − | 7.39047i | −0.0457280 | − | 0.400805i | ||||
\(341\) | −2.73727 | − | 3.76753i | −0.148231 | − | 0.204023i | ||||
\(342\) | 2.86123 | − | 1.45787i | 0.154718 | − | 0.0788326i | ||||
\(343\) | 13.6511 | − | 12.5159i | 0.737088 | − | 0.675797i | ||||
\(344\) | −6.84414 | − | 2.22380i | −0.369011 | − | 0.119899i | ||||
\(345\) | −10.1897 | − | 15.3899i | −0.548597 | − | 0.828565i | ||||
\(346\) | 7.27636 | − | 2.36423i | 0.391180 | − | 0.127102i | ||||
\(347\) | −4.93289 | − | 2.51343i | −0.264812 | − | 0.134928i | 0.316544 | − | 0.948578i | \(-0.397477\pi\) |
−0.581356 | + | 0.813650i | \(0.697477\pi\) | |||||||
\(348\) | 6.24463 | − | 0.989052i | 0.334747 | − | 0.0530188i | ||||
\(349\) | −13.5112 | −0.723238 | −0.361619 | − | 0.932326i | \(-0.617776\pi\) | ||||
−0.361619 | + | 0.932326i | \(0.617776\pi\) | |||||||
\(350\) | −14.1464 | − | 19.3361i | −0.756159 | − | 1.03356i | ||||
\(351\) | −15.4688 | −0.825663 | ||||||||
\(352\) | −6.43122 | + | 1.01860i | −0.342785 | + | 0.0542918i | ||||
\(353\) | 26.5702 | + | 13.5382i | 1.41419 | + | 0.720565i | 0.983326 | − | 0.181852i | \(-0.0582091\pi\) |
0.430863 | + | 0.902417i | \(0.358209\pi\) | |||||||
\(354\) | −3.46937 | + | 1.12727i | −0.184395 | + | 0.0599136i | ||||
\(355\) | 0.259838 | + | 0.0971042i | 0.0137908 | + | 0.00515376i | ||||
\(356\) | −15.7021 | − | 5.10192i | −0.832210 | − | 0.270401i | ||||
\(357\) | −10.4061 | + | 2.62774i | −0.550749 | + | 0.139075i | ||||
\(358\) | 0.837318 | − | 0.426635i | 0.0442536 | − | 0.0225483i | ||||
\(359\) | −10.5750 | − | 14.5552i | −0.558126 | − | 0.768195i | 0.432960 | − | 0.901413i | \(-0.357469\pi\) |
−0.991087 | + | 0.133218i | \(0.957469\pi\) | |||||||
\(360\) | 1.49483 | − | 0.681509i | 0.0787844 | − | 0.0359187i | ||||
\(361\) | 7.36006 | + | 5.34740i | 0.387372 | + | 0.281442i | ||||
\(362\) | 1.19087 | + | 0.188616i | 0.0625909 | + | 0.00991342i | ||||
\(363\) | −2.42565 | + | 15.3150i | −0.127314 | + | 0.803827i | ||||
\(364\) | 3.70599 | + | 8.65840i | 0.194247 | + | 0.453823i | ||||
\(365\) | −12.3398 | + | 21.8183i | −0.645894 | + | 1.14202i | ||||
\(366\) | −31.6667 | + | 23.0072i | −1.65525 | + | 1.20261i | ||||
\(367\) | −16.9943 | + | 8.65901i | −0.887093 | + | 0.451996i | −0.837288 | − | 0.546762i | \(-0.815860\pi\) |
−0.0498052 | + | 0.998759i | \(0.515860\pi\) | |||||||
\(368\) | −18.4031 | − | 18.4031i | −0.959329 | − | 0.959329i | ||||
\(369\) | −1.19365 | + | 3.67369i | −0.0621392 | + | 0.191245i | ||||
\(370\) | 17.9639 | + | 14.2846i | 0.933898 | + | 0.742623i | ||||
\(371\) | 8.37389 | − | 36.7747i | 0.434750 | − | 1.90925i | ||||
\(372\) | 8.02856 | + | 4.09075i | 0.416261 | + | 0.212096i | ||||
\(373\) | 0.588178 | + | 3.71361i | 0.0304547 | + | 0.192284i | 0.998225 | − | 0.0595498i | \(-0.0189665\pi\) |
−0.967771 | + | 0.251833i | \(0.918967\pi\) | |||||||
\(374\) | 4.86031 | 0.251321 | ||||||||
\(375\) | 10.6304 | + | 13.8406i | 0.548950 | + | 0.714727i | ||||
\(376\) | 4.01298i | 0.206954i | ||||||||
\(377\) | −1.37661 | − | 8.69154i | −0.0708988 | − | 0.447637i | ||||
\(378\) | 14.1918 | + | 22.5605i | 0.729945 | + | 1.16039i | ||||
\(379\) | 9.69894 | − | 3.15138i | 0.498201 | − | 0.161875i | −0.0491285 | − | 0.998792i | \(-0.515644\pi\) |
0.547330 | + | 0.836917i | \(0.315644\pi\) | |||||||
\(380\) | 7.04976 | + | 5.60587i | 0.361645 | + | 0.287575i | ||||
\(381\) | −11.1524 | − | 3.62364i | −0.571356 | − | 0.185645i | ||||
\(382\) | 6.07483 | − | 6.07483i | 0.310815 | − | 0.310815i | ||||
\(383\) | 7.14326 | + | 14.0194i | 0.365003 | + | 0.716360i | 0.998345 | − | 0.0575129i | \(-0.0183170\pi\) |
−0.633341 | + | 0.773873i | \(0.718317\pi\) | |||||||
\(384\) | −12.3195 | + | 8.95067i | −0.628679 | + | 0.456762i | ||||
\(385\) | 5.30765 | − | 3.02507i | 0.270503 | − | 0.154172i | ||||
\(386\) | −13.6325 | − | 9.90458i | −0.693875 | − | 0.504130i | ||||
\(387\) | 0.486467 | − | 3.07143i | 0.0247285 | − | 0.156130i | ||||
\(388\) | −3.51708 | + | 22.2060i | −0.178553 | + | 1.12734i | ||||
\(389\) | −8.49388 | + | 11.6908i | −0.430657 | + | 0.592749i | −0.968104 | − | 0.250549i | \(-0.919389\pi\) |
0.537447 | + | 0.843298i | \(0.319389\pi\) | |||||||
\(390\) | −7.29258 | − | 15.9956i | −0.369274 | − | 0.809970i | ||||
\(391\) | 8.07784 | + | 11.1182i | 0.408514 | + | 0.562271i | ||||
\(392\) | −5.19032 | + | 7.50809i | −0.262151 | + | 0.379216i | ||||
\(393\) | −18.8158 | − | 18.8158i | −0.949132 | − | 0.949132i | ||||
\(394\) | −15.7676 | − | 5.12320i | −0.794360 | − | 0.258103i | ||||
\(395\) | −9.76374 | + | 26.1265i | −0.491267 | + | 1.31457i | ||||
\(396\) | −0.230152 | − | 0.708334i | −0.0115656 | − | 0.0355951i | ||||
\(397\) | −12.4825 | + | 24.4983i | −0.626478 | + | 1.22953i | 0.331707 | + | 0.943382i | \(0.392375\pi\) |
−0.958185 | + | 0.286150i | \(0.907625\pi\) | |||||||
\(398\) | −2.89193 | + | 0.458037i | −0.144960 | + | 0.0229593i | ||||
\(399\) | 6.65993 | − | 11.1597i | 0.333413 | − | 0.558686i | ||||
\(400\) | 18.5768 | + | 16.1386i | 0.928838 | + | 0.806928i | ||||
\(401\) | 24.2103 | 1.20900 | 0.604502 | − | 0.796604i | \(-0.293372\pi\) | ||||
0.604502 | + | 0.796604i | \(0.293372\pi\) | |||||||
\(402\) | 1.10007 | + | 6.94554i | 0.0548663 | + | 0.346412i | ||||
\(403\) | 5.69369 | − | 11.1745i | 0.283623 | − | 0.556641i | ||||
\(404\) | 0.0575747 | + | 0.177197i | 0.00286445 | + | 0.00881586i | ||||
\(405\) | −8.63148 | − | 13.0364i | −0.428901 | − | 0.647784i | ||||
\(406\) | −11.4133 | + | 9.98173i | −0.566431 | + | 0.495385i | ||||
\(407\) | −4.13822 | + | 4.13822i | −0.205124 | + | 0.205124i | ||||
\(408\) | 4.71298 | − | 2.40138i | 0.233327 | − | 0.118886i | ||||
\(409\) | 23.9488 | − | 17.3998i | 1.18419 | − | 0.860366i | 0.191554 | − | 0.981482i | \(-0.438647\pi\) |
0.992638 | + | 0.121116i | \(0.0386472\pi\) | |||||||
\(410\) | −27.5836 | + | 3.14702i | −1.36226 | + | 0.155420i | ||||
\(411\) | −1.31925 | + | 1.81579i | −0.0650738 | + | 0.0895664i | ||||
\(412\) | −17.8395 | − | 2.82550i | −0.878889 | − | 0.139202i | ||||
\(413\) | 2.18664 | − | 2.62188i | 0.107597 | − | 0.129014i | ||||
\(414\) | 3.17191 | − | 4.36576i | 0.155891 | − | 0.214565i | ||||
\(415\) | 33.6459 | + | 6.83997i | 1.65161 | + | 0.335761i | ||||
\(416\) | −10.3072 | − | 14.1866i | −0.505351 | − | 0.695556i | ||||
\(417\) | 2.16422 | + | 4.24753i | 0.105982 | + | 0.208002i | ||||
\(418\) | −4.16146 | + | 4.16146i | −0.203544 | + | 0.203544i | ||||
\(419\) | −2.77592 | + | 8.54341i | −0.135613 | + | 0.417373i | −0.995685 | − | 0.0927994i | \(-0.970418\pi\) |
0.860072 | + | 0.510173i | \(0.170418\pi\) | |||||||
\(420\) | −6.49312 | + | 9.87761i | −0.316832 | + | 0.481978i | ||||
\(421\) | 5.44962 | + | 16.7722i | 0.265598 | + | 0.817427i | 0.991555 | + | 0.129687i | \(0.0413972\pi\) |
−0.725957 | + | 0.687740i | \(0.758603\pi\) | |||||||
\(422\) | 16.2938 | + | 8.30211i | 0.793170 | + | 0.404140i | ||||
\(423\) | −1.71276 | + | 0.271274i | −0.0832770 | + | 0.0131898i | ||||
\(424\) | 18.5879i | 0.902707i | ||||||||
\(425\) | −8.35547 | − | 9.95148i | −0.405300 | − | 0.482718i | ||||
\(426\) | − | 0.350696i | − | 0.0169913i | ||||||
\(427\) | 13.6208 | − | 34.0063i | 0.659157 | − | 1.64568i | ||||
\(428\) | 1.35128 | − | 2.65203i | 0.0653165 | − | 0.128191i | ||||
\(429\) | 4.26325 | − | 1.38521i | 0.205832 | − | 0.0668788i | ||||
\(430\) | 21.5365 | − | 5.97616i | 1.03858 | − | 0.288196i | ||||
\(431\) | −2.12734 | + | 6.54728i | −0.102470 | + | 0.315372i | −0.989128 | − | 0.147054i | \(-0.953021\pi\) |
0.886658 | + | 0.462426i | \(0.153021\pi\) | |||||||
\(432\) | −19.3575 | − | 19.3575i | −0.931336 | − | 0.931336i | ||||
\(433\) | 4.48849 | + | 8.80915i | 0.215703 | + | 0.423341i | 0.973350 | − | 0.229323i | \(-0.0736513\pi\) |
−0.757647 | + | 0.652664i | \(0.773651\pi\) | |||||||
\(434\) | −21.5211 | + | 1.94798i | −1.03305 | + | 0.0935062i | ||||
\(435\) | 8.14182 | − | 7.46289i | 0.390370 | − | 0.357818i | ||||
\(436\) | −4.90591 | − | 3.56435i | −0.234951 | − | 0.170702i | ||||
\(437\) | −16.4359 | − | 2.60319i | −0.786235 | − | 0.124527i | ||||
\(438\) | 31.3002 | + | 4.95746i | 1.49558 | + | 0.236877i | ||||
\(439\) | −6.05381 | − | 4.39835i | −0.288933 | − | 0.209922i | 0.433872 | − | 0.900975i | \(-0.357147\pi\) |
−0.722804 | + | 0.691053i | \(0.757147\pi\) | |||||||
\(440\) | −2.21951 | + | 2.03443i | −0.105811 | + | 0.0969878i | ||||
\(441\) | −3.55535 | − | 1.70771i | −0.169302 | − | 0.0813194i | ||||
\(442\) | 5.94235 | + | 11.6625i | 0.282649 | + | 0.554730i | ||||
\(443\) | −18.9169 | − | 18.9169i | −0.898768 | − | 0.898768i | 0.0965590 | − | 0.995327i | \(-0.469216\pi\) |
−0.995327 | + | 0.0965590i | \(0.969216\pi\) | |||||||
\(444\) | 3.49920 | − | 10.7694i | 0.166065 | − | 0.511095i | ||||
\(445\) | −27.7912 | + | 7.71177i | −1.31743 | + | 0.365573i | ||||
\(446\) | −14.4183 | + | 4.68478i | −0.682725 | + | 0.221831i | ||||
\(447\) | 9.18106 | − | 18.0188i | 0.434249 | − | 0.852262i | ||||
\(448\) | −1.55111 | + | 3.87257i | −0.0732830 | + | 0.182962i | ||||
\(449\) | − | 32.9054i | − | 1.55290i | −0.630179 | − | 0.776450i | \(-0.717018\pi\) | ||
0.630179 | − | 0.776450i | \(-0.282982\pi\) | |||||||
\(450\) | −2.70251 | + | 4.32787i | −0.127398 | + | 0.204018i | ||||
\(451\) | − | 7.07921i | − | 0.333347i | ||||||
\(452\) | 10.3825 | − | 1.64442i | 0.488350 | − | 0.0773471i | ||||
\(453\) | 33.1919 | + | 16.9121i | 1.55949 | + | 0.794600i | ||||
\(454\) | −12.5333 | − | 38.5736i | −0.588218 | − | 1.81035i | ||||
\(455\) | 13.7481 | + | 9.03741i | 0.644520 | + | 0.423680i | ||||
\(456\) | −1.97922 | + | 6.09141i | −0.0926854 | + | 0.285256i | ||||
\(457\) | 9.81079 | − | 9.81079i | 0.458929 | − | 0.458929i | −0.439374 | − | 0.898304i | \(-0.644800\pi\) |
0.898304 | + | 0.439374i | \(0.144800\pi\) | |||||||
\(458\) | 12.6915 | + | 24.9084i | 0.593033 | + | 1.16389i | ||||
\(459\) | 8.49674 | + | 11.6948i | 0.396594 | + | 0.545865i | ||||
\(460\) | 14.8325 | + | 3.01534i | 0.691567 | + | 0.140591i | ||||
\(461\) | 14.9221 | − | 20.5385i | 0.694991 | − | 0.956573i | −0.305000 | − | 0.952352i | \(-0.598656\pi\) |
0.999991 | − | 0.00422073i | \(-0.00134350\pi\) | |||||||
\(462\) | −5.93157 | − | 4.94690i | −0.275961 | − | 0.230151i | ||||
\(463\) | 32.7169 | + | 5.18185i | 1.52048 | + | 0.240821i | 0.860107 | − | 0.510113i | \(-0.170396\pi\) |
0.660377 | + | 0.750934i | \(0.270396\pi\) | |||||||
\(464\) | 9.15383 | − | 12.5992i | 0.424956 | − | 0.584902i | ||||
\(465\) | 15.6391 | − | 1.78428i | 0.725248 | − | 0.0827439i | ||||
\(466\) | 36.8239 | − | 26.7542i | 1.70584 | − | 1.23936i | ||||
\(467\) | −26.9571 | + | 13.7353i | −1.24742 | + | 0.635595i | −0.947922 | − | 0.318501i | \(-0.896821\pi\) |
−0.299502 | + | 0.954096i | \(0.596821\pi\) | |||||||
\(468\) | 1.41829 | − | 1.41829i | 0.0655604 | − | 0.0655604i | ||||
\(469\) | −4.33259 | − | 4.95395i | −0.200060 | − | 0.228752i | ||||
\(470\) | −6.88063 | − | 10.3920i | −0.317380 | − | 0.479349i | ||||
\(471\) | −6.59048 | − | 20.2834i | −0.303673 | − | 0.934611i | ||||
\(472\) | −0.763867 | + | 1.49917i | −0.0351599 | + | 0.0690051i | ||||
\(473\) | 0.891543 | + | 5.62898i | 0.0409932 | + | 0.258821i | ||||
\(474\) | 35.2622 | 1.61965 | ||||||||
\(475\) | 15.6746 | + | 1.36652i | 0.719202 | + | 0.0627004i | ||||
\(476\) | 4.51031 | − | 7.55772i | 0.206730 | − | 0.346408i | ||||
\(477\) | −7.93338 | + | 1.25652i | −0.363244 | + | 0.0575323i | ||||
\(478\) | −10.3272 | + | 20.2682i | −0.472353 | + | 0.927045i | ||||
\(479\) | 2.96518 | + | 9.12589i | 0.135483 | + | 0.416973i | 0.995665 | − | 0.0930142i | \(-0.0296502\pi\) |
−0.860182 | + | 0.509987i | \(0.829650\pi\) | |||||||
\(480\) | 7.70448 | − | 20.6162i | 0.351660 | − | 0.940995i | ||||
\(481\) | −14.9894 | − | 4.87034i | −0.683456 | − | 0.222068i | ||||
\(482\) | −1.03082 | − | 1.03082i | −0.0469524 | − | 0.0469524i | ||||
\(483\) | 1.45801 | − | 21.7905i | 0.0663418 | − | 0.991503i | ||||
\(484\) | −7.47391 | − | 10.2870i | −0.339723 | − | 0.467589i | ||||
\(485\) | 16.2925 | + | 35.7361i | 0.739803 | + | 1.62269i | ||||
\(486\) | 6.14524 | − | 8.45819i | 0.278754 | − | 0.383671i | ||||
\(487\) | −6.60515 | + | 41.7033i | −0.299308 | + | 1.88976i | 0.137979 | + | 0.990435i | \(0.455939\pi\) |
−0.437287 | + | 0.899322i | \(0.644061\pi\) | |||||||
\(488\) | −2.82426 | + | 17.8317i | −0.127848 | + | 0.807202i | ||||
\(489\) | 22.5634 | + | 16.3933i | 1.02035 | + | 0.741330i | ||||
\(490\) | 0.567552 | − | 28.3423i | 0.0256394 | − | 1.28037i | ||||
\(491\) | 1.51194 | − | 1.09849i | 0.0682330 | − | 0.0495742i | −0.553146 | − | 0.833084i | \(-0.686573\pi\) |
0.621379 | + | 0.783510i | \(0.286573\pi\) | |||||||
\(492\) | 6.21855 | + | 12.2046i | 0.280354 | + | 0.550226i | ||||
\(493\) | −5.81486 | + | 5.81486i | −0.261888 | + | 0.261888i | ||||
\(494\) | −15.0735 | − | 4.89768i | −0.678190 | − | 0.220357i | ||||
\(495\) | −1.01834 | − | 0.809771i | −0.0457710 | − | 0.0363965i | ||||
\(496\) | 21.1086 | − | 6.85861i | 0.947806 | − | 0.307961i | ||||
\(497\) | 0.174761 | + | 0.277816i | 0.00783909 | + | 0.0124618i | ||||
\(498\) | −6.79046 | − | 42.8733i | −0.304288 | − | 1.92120i | ||||
\(499\) | − | 12.9373i | − | 0.579155i | −0.957155 | − | 0.289577i | \(-0.906485\pi\) | ||
0.957155 | − | 0.289577i | \(-0.0935147\pi\) | |||||||
\(500\) | −14.1896 | − | 1.86148i | −0.634578 | − | 0.0832477i | ||||
\(501\) | −39.8920 | −1.78225 | ||||||||
\(502\) | 3.40238 | + | 21.4818i | 0.151856 | + | 0.958780i | ||||
\(503\) | −11.1337 | − | 5.67288i | −0.496425 | − | 0.252941i | 0.187807 | − | 0.982206i | \(-0.439862\pi\) |
−0.684231 | + | 0.729265i | \(0.739862\pi\) | |||||||
\(504\) | 1.89533 | + | 0.431583i | 0.0844249 | + | 0.0192242i | ||||
\(505\) | 0.254748 | + | 0.202572i | 0.0113361 | + | 0.00901434i | ||||
\(506\) | −3.05614 | + | 9.40582i | −0.135862 | + | 0.418140i | ||||
\(507\) | −5.81254 | − | 5.81254i | −0.258144 | − | 0.258144i | ||||
\(508\) | 8.56796 | − | 4.36559i | 0.380142 | − | 0.193692i | ||||
\(509\) | 14.8404 | − | 10.7822i | 0.657791 | − | 0.477913i | −0.208125 | − | 0.978102i | \(-0.566736\pi\) |
0.865916 | + | 0.500189i | \(0.166736\pi\) | |||||||
\(510\) | −8.08737 | + | 14.2995i | −0.358115 | + | 0.633192i | ||||
\(511\) | −27.2659 | + | 11.6704i | −1.20617 | + | 0.516270i | ||||
\(512\) | 2.84688 | − | 17.9745i | 0.125816 | − | 0.794369i | ||||
\(513\) | −17.2882 | − | 2.73818i | −0.763293 | − | 0.120894i | ||||
\(514\) | −12.7895 | − | 9.29215i | −0.564122 | − | 0.409859i | ||||
\(515\) | −28.7091 | + | 13.0888i | −1.26507 | + | 0.576761i | ||||
\(516\) | −6.48166 | − | 8.92124i | −0.285339 | − | 0.392736i | ||||
\(517\) | 2.83168 | − | 1.44282i | 0.124537 | − | 0.0634549i | ||||
\(518\) | 6.64873 | + | 26.3296i | 0.292128 | + | 1.15686i | ||||
\(519\) | −6.27137 | − | 2.03769i | −0.275282 | − | 0.0894447i | ||||
\(520\) | −7.59535 | − | 2.83846i | −0.333078 | − | 0.124475i | ||||
\(521\) | −41.0960 | + | 13.3529i | −1.80045 | + | 0.585001i | −0.999898 | − | 0.0142665i | \(-0.995459\pi\) |
−0.800549 | + | 0.599267i | \(0.795459\pi\) | |||||||
\(522\) | 2.87714 | + | 1.46597i | 0.125929 | + | 0.0641640i | ||||
\(523\) | 24.2699 | − | 3.84398i | 1.06125 | − | 0.168085i | 0.398683 | − | 0.917089i | \(-0.369467\pi\) |
0.662566 | + | 0.749003i | \(0.269467\pi\) | |||||||
\(524\) | 21.8208 | 0.953248 | ||||||||
\(525\) | 0.0683117 | + | 20.6492i | 0.00298137 | + | 0.901206i | ||||
\(526\) | 26.4441 | 1.15302 | ||||||||
\(527\) | −11.5756 | + | 1.83340i | −0.504242 | + | 0.0798641i | ||||
\(528\) | 7.06842 | + | 3.60154i | 0.307614 | + | 0.156737i | ||||
\(529\) | −4.72127 | + | 1.53404i | −0.205273 | + | 0.0666972i | ||||
\(530\) | −31.8706 | − | 48.1353i | −1.38437 | − | 2.09086i | ||||
\(531\) | −0.691490 | − | 0.224679i | −0.0300081 | − | 0.00975023i | ||||
\(532\) | 2.60923 | + | 10.3328i | 0.113125 | + | 0.447984i | ||||
\(533\) | 16.9869 | − | 8.65525i | 0.735783 | − | 0.374900i | ||||
\(534\) | 21.4326 | + | 29.4995i | 0.927481 | + | 1.27657i | ||||
\(535\) | −0.589391 | − | 5.16600i | −0.0254816 | − | 0.223346i | ||||
\(536\) | 2.62404 | + | 1.90648i | 0.113341 | + | 0.0823473i | ||||
\(537\) | −0.799977 | − | 0.126704i | −0.0345215 | − | 0.00546767i | ||||
\(538\) | 2.77563 | − | 17.5246i | 0.119666 | − | 0.755540i | ||||
\(539\) | 7.16406 | + | 0.963011i | 0.308578 | + | 0.0414798i | ||||
\(540\) | 15.6016 | + | 3.17171i | 0.671388 | + | 0.136488i | ||||
\(541\) | −20.3053 | + | 14.7527i | −0.872995 | + | 0.634268i | −0.931389 | − | 0.364026i | \(-0.881402\pi\) |
0.0583940 | + | 0.998294i | \(0.481402\pi\) | |||||||
\(542\) | 23.9526 | − | 12.2045i | 1.02885 | − | 0.524227i | ||||
\(543\) | −0.734816 | − | 0.734816i | −0.0315340 | − | 0.0315340i | ||||
\(544\) | −5.06385 | + | 15.5849i | −0.217111 | + | 0.668198i | ||||
\(545\) | −10.5832 | − | 0.460450i | −0.453334 | − | 0.0197235i | ||||
\(546\) | 4.61821 | − | 20.2813i | 0.197641 | − | 0.867959i | ||||
\(547\) | −27.7002 | − | 14.1139i | −1.18437 | − | 0.603469i | −0.252977 | − | 0.967472i | \(-0.581410\pi\) |
−0.931398 | + | 0.364004i | \(0.881410\pi\) | |||||||
\(548\) | −0.287922 | − | 1.81787i | −0.0122994 | − | 0.0776554i | ||||
\(549\) | −7.80155 | −0.332962 | ||||||||
\(550\) | 2.25944 | − | 9.07394i | 0.0963429 | − | 0.386914i | ||||
\(551\) | − | 9.95752i | − | 0.424204i | ||||||
\(552\) | 1.68373 | + | 10.6307i | 0.0716645 | + | 0.452472i | ||||
\(553\) | −27.9342 | + | 17.5720i | −1.18788 | + | 0.747239i | ||||
\(554\) | 48.2089 | − | 15.6640i | 2.04820 | − | 0.665501i | ||||
\(555\) | −5.28919 | − | 19.0609i | −0.224514 | − | 0.809089i | ||||
\(556\) | −3.71788 | − | 1.20801i | −0.157673 | − | 0.0512311i | ||||
\(557\) | −18.8256 | + | 18.8256i | −0.797666 | + | 0.797666i | −0.982727 | − | 0.185061i | \(-0.940752\pi\) |
0.185061 | + | 0.982727i | \(0.440752\pi\) | |||||||
\(558\) | 2.08928 | + | 4.10044i | 0.0884462 | + | 0.173585i | ||||
\(559\) | −12.4170 | + | 9.02145i | −0.525181 | + | 0.381567i | ||||
\(560\) | 5.89489 | + | 28.5135i | 0.249105 | + | 1.20492i | ||||
\(561\) | −3.38898 | − | 2.46224i | −0.143083 | − | 0.103956i | ||||
\(562\) | −1.91241 | + | 12.0745i | −0.0806703 | + | 0.509332i | ||||
\(563\) | 4.89103 | − | 30.8807i | 0.206132 | − | 1.30147i | −0.639951 | − | 0.768416i | \(-0.721045\pi\) |
0.846083 | − | 0.533051i | \(-0.178955\pi\) | |||||||
\(564\) | −3.61443 | + | 4.97484i | −0.152195 | + | 0.209479i | ||||
\(565\) | 13.5368 | − | 12.4080i | 0.569496 | − | 0.522007i | ||||
\(566\) | −11.2001 | − | 15.4156i | −0.470774 | − | 0.647964i | ||||
\(567\) | 1.23504 | − | 18.4582i | 0.0518670 | − | 0.775171i | ||||
\(568\) | −0.114378 | − | 0.114378i | −0.00479920 | − | 0.00479920i | ||||
\(569\) | −0.884548 | − | 0.287407i | −0.0370822 | − | 0.0120487i | 0.290417 | − | 0.956900i | \(-0.406206\pi\) |
−0.327499 | + | 0.944851i | \(0.606206\pi\) | |||||||
\(570\) | −5.31889 | − | 19.1679i | −0.222784 | − | 0.802855i | ||||
\(571\) | 14.1796 | + | 43.6404i | 0.593399 | + | 1.82629i | 0.562540 | + | 0.826770i | \(0.309824\pi\) |
0.0308594 | + | 0.999524i | \(0.490176\pi\) | |||||||
\(572\) | −1.66884 | + | 3.27528i | −0.0697777 | + | 0.136946i | ||||
\(573\) | −7.31336 | + | 1.15832i | −0.305520 | + | 0.0483896i | ||||
\(574\) | −28.2078 | − | 16.8339i | −1.17737 | − | 0.702633i | ||||
\(575\) | 24.5123 | − | 9.91232i | 1.02223 | − | 0.413372i | ||||
\(576\) | 0.888425 | 0.0370177 | ||||||||
\(577\) | 3.18696 | + | 20.1216i | 0.132675 | + | 0.837675i | 0.960822 | + | 0.277165i | \(0.0893949\pi\) |
−0.828148 | + | 0.560510i | \(0.810605\pi\) | |||||||
\(578\) | −8.42456 | + | 16.5341i | −0.350415 | + | 0.687729i | ||||
\(579\) | 4.48795 | + | 13.8125i | 0.186513 | + | 0.574027i | ||||
\(580\) | −0.393678 | + | 9.04845i | −0.0163466 | + | 0.375716i | ||||
\(581\) | 26.7441 | + | 30.5796i | 1.10953 | + | 1.26866i | ||||
\(582\) | 35.1108 | − | 35.1108i | 1.45539 | − | 1.45539i | ||||
\(583\) | 13.1162 | − | 6.68303i | 0.543217 | − | 0.276783i | ||||
\(584\) | 11.8253 | − | 8.59157i | 0.489333 | − | 0.355522i | ||||
\(585\) | 0.698028 | − | 3.43360i | 0.0288599 | − | 0.141962i | ||||
\(586\) | −15.8018 | + | 21.7493i | −0.652765 | + | 0.898454i | ||||
\(587\) | 14.8376 | + | 2.35004i | 0.612412 | + | 0.0969965i | 0.454933 | − | 0.890526i | \(-0.349663\pi\) |
0.157479 | + | 0.987522i | \(0.449663\pi\) | |||||||
\(588\) | −13.1968 | + | 4.63285i | −0.544227 | + | 0.191055i | ||||
\(589\) | 8.34141 | − | 11.4810i | 0.343702 | − | 0.473065i | ||||
\(590\) | −0.592357 | − | 5.19199i | −0.0243870 | − | 0.213751i | ||||
\(591\) | 8.39897 | + | 11.5602i | 0.345487 | + | 0.475523i | ||||
\(592\) | −12.6628 | − | 24.8522i | −0.520439 | − | 1.02142i | ||||
\(593\) | 17.0323 | − | 17.0323i | 0.699433 | − | 0.699433i | −0.264855 | − | 0.964288i | \(-0.585324\pi\) |
0.964288 | + | 0.264855i | \(0.0853242\pi\) | |||||||
\(594\) | −3.21462 | + | 9.89358i | −0.131897 | + | 0.405939i | ||||
\(595\) | −0.719101 | − | 15.3580i | −0.0294803 | − | 0.629615i | ||||
\(596\) | 5.12462 | + | 15.7720i | 0.209913 | + | 0.646045i | ||||
\(597\) | 2.24852 | + | 1.14568i | 0.0920259 | + | 0.0468896i | ||||
\(598\) | −26.3062 | + | 4.16649i | −1.07574 | + | 0.170381i | ||||
\(599\) | 12.8570i | 0.525324i | 0.964888 | + | 0.262662i | \(0.0846005\pi\) | ||||
−0.964888 | + | 0.262662i | \(0.915400\pi\) | |||||||
\(600\) | −2.29231 | − | 9.91523i | −0.0935830 | − | 0.404788i | ||||
\(601\) | − | 0.0609317i | − | 0.00248545i | −0.999999 | − | 0.00124273i | \(-0.999604\pi\) | ||
0.999999 | − | 0.00124273i | \(-0.000395572\pi\) | |||||||
\(602\) | 24.5493 | + | 9.83291i | 1.00055 | + | 0.400759i | ||||
\(603\) | −0.636309 | + | 1.24883i | −0.0259125 | + | 0.0508562i | ||||
\(604\) | −29.0530 | + | 9.43988i | −1.18215 | + | 0.384103i | ||||
\(605\) | −20.8068 | − | 7.77574i | −0.845919 | − | 0.316129i | ||||
\(606\) | 0.127156 | − | 0.391346i | 0.00516536 | − | 0.0158973i | ||||
\(607\) | 12.2898 | + | 12.2898i | 0.498826 | + | 0.498826i | 0.911072 | − | 0.412246i | \(-0.135256\pi\) |
−0.412246 | + | 0.911072i | \(0.635256\pi\) | |||||||
\(608\) | −9.00828 | − | 17.6797i | −0.365334 | − | 0.717008i | ||||
\(609\) | 13.0150 | − | 1.17805i | 0.527394 | − | 0.0477370i | ||||
\(610\) | −23.2603 | − | 51.0195i | −0.941784 | − | 2.06572i | ||||
\(611\) | 6.92420 | + | 5.03073i | 0.280123 | + | 0.203521i | ||||
\(612\) | −1.85130 | − | 0.293217i | −0.0748344 | − | 0.0118526i | ||||
\(613\) | 10.5456 | + | 1.67026i | 0.425932 | + | 0.0674610i | 0.365721 | − | 0.930725i | \(-0.380823\pi\) |
0.0602113 | + | 0.998186i | \(0.480823\pi\) | |||||||
\(614\) | −6.02731 | − | 4.37910i | −0.243243 | − | 0.176726i | ||||
\(615\) | 20.8277 | + | 11.7795i | 0.839854 | + | 0.474997i | ||||
\(616\) | −3.54797 | + | 0.321144i | −0.142952 | + | 0.0129393i | ||||
\(617\) | 6.77414 | + | 13.2950i | 0.272717 | + | 0.535237i | 0.986225 | − | 0.165410i | \(-0.0528948\pi\) |
−0.713508 | + | 0.700647i | \(0.752895\pi\) | |||||||
\(618\) | 28.2068 | + | 28.2068i | 1.13464 | + | 1.13464i | ||||
\(619\) | 0.00890537 | − | 0.0274079i | 0.000357937 | − | 0.00110162i | −0.950877 | − | 0.309568i | \(-0.899816\pi\) |
0.951235 | + | 0.308466i | \(0.0998156\pi\) | |||||||
\(620\) | −8.03380 | + | 10.1030i | −0.322645 | + | 0.405748i | ||||
\(621\) | −27.9748 | + | 9.08955i | −1.12259 | + | 0.364751i | ||||
\(622\) | 0.904975 | − | 1.77611i | 0.0362862 | − | 0.0712156i | ||||
\(623\) | −31.6789 | − | 12.6886i | −1.26919 | − | 0.508358i | ||||
\(624\) | 21.3643i | 0.855258i | ||||||||
\(625\) | −22.4631 | + | 10.9730i | −0.898526 | + | 0.438921i | ||||
\(626\) | − | 20.4113i | − | 0.815798i | ||||||
\(627\) | 5.00989 | − | 0.793489i | 0.200076 | − | 0.0316889i | ||||
\(628\) | 15.5829 | + | 7.93990i | 0.621827 | + | 0.316837i | ||||
\(629\) | 4.55131 | + | 14.0075i | 0.181473 | + | 0.558515i | ||||
\(630\) | −5.64816 | + | 2.13210i | −0.225028 | + | 0.0849448i | ||||
\(631\) | 10.1114 | − | 31.1198i | 0.402529 | − | 1.23886i | −0.520411 | − | 0.853916i | \(-0.674221\pi\) |
0.922941 | − | 0.384942i | \(-0.125779\pi\) | |||||||
\(632\) | 11.5006 | − | 11.5006i | 0.457470 | − | 0.457470i | ||||
\(633\) | −7.15544 | − | 14.0433i | −0.284403 | − | 0.558173i | ||||
\(634\) | 6.95957 | + | 9.57902i | 0.276400 | + | 0.380432i | ||||
\(635\) | 8.26956 | − | 14.6216i | 0.328168 | − | 0.580241i | ||||
\(636\) | −16.7418 | + | 23.0432i | −0.663857 | + | 0.913721i | ||||
\(637\) | 6.44820 | + | 18.3679i | 0.255487 | + | 0.727762i | ||||
\(638\) | −5.84505 | − | 0.925764i | −0.231408 | − | 0.0366514i | ||||
\(639\) | 0.0410852 | − | 0.0565489i | 0.00162530 | − | 0.00223704i | ||||
\(640\) | −9.04914 | − | 19.8485i | −0.357699 | − | 0.784580i | ||||
\(641\) | 14.1008 | − | 10.2449i | 0.556949 | − | 0.404647i | −0.273392 | − | 0.961903i | \(-0.588146\pi\) |
0.830341 | + | 0.557255i | \(0.188146\pi\) | |||||||
\(642\) | −5.85712 | + | 2.98435i | −0.231162 | + | 0.117783i | ||||
\(643\) | −23.0067 | + | 23.0067i | −0.907297 | + | 0.907297i | −0.996053 | − | 0.0887563i | \(-0.971711\pi\) |
0.0887563 | + | 0.996053i | \(0.471711\pi\) | |||||||
\(644\) | 11.7899 | + | 13.4807i | 0.464586 | + | 0.531216i | ||||
\(645\) | −18.0445 | − | 6.74341i | −0.710501 | − | 0.265521i | ||||
\(646\) | 4.57687 | + | 14.0861i | 0.180074 | + | 0.554212i | ||||
\(647\) | 2.63781 | − | 5.17699i | 0.103703 | − | 0.203528i | −0.833325 | − | 0.552784i | \(-0.813565\pi\) |
0.937028 | + | 0.349256i | \(0.113565\pi\) | |||||||
\(648\) | 1.42625 | + | 9.00498i | 0.0560284 | + | 0.353749i | ||||
\(649\) | 1.33250 | 0.0523053 | ||||||||
\(650\) | 24.5358 | − | 5.67244i | 0.962373 | − | 0.222491i | ||||
\(651\) | 15.9931 | + | 9.54436i | 0.626817 | + | 0.374073i | ||||
\(652\) | −22.5892 | + | 3.57778i | −0.884661 | + | 0.140117i | ||||
\(653\) | −16.9833 | + | 33.3316i | −0.664608 | + | 1.30437i | 0.274779 | + | 0.961508i | \(0.411395\pi\) |
−0.939387 | + | 0.342859i | \(0.888605\pi\) | |||||||
\(654\) | 4.13857 | + | 12.7372i | 0.161831 | + | 0.498064i | ||||
\(655\) | 31.7833 | − | 21.0439i | 1.24188 | − | 0.822252i | ||||
\(656\) | 32.0882 | + | 10.4261i | 1.25284 | + | 0.407071i | ||||
\(657\) | 4.46629 | + | 4.46629i | 0.174247 | + | 0.174247i | ||||
\(658\) | 0.984522 | − | 14.7140i | 0.0383807 | − | 0.573613i | ||||
\(659\) | 8.12047 | + | 11.1769i | 0.316329 | + | 0.435389i | 0.937342 | − | 0.348411i | \(-0.113279\pi\) |
−0.621013 | + | 0.783800i | \(0.713279\pi\) | |||||||
\(660\) | −4.58389 | + | 0.522978i | −0.178428 | + | 0.0203569i | ||||
\(661\) | −14.8557 | + | 20.4471i | −0.577820 | + | 0.795302i | −0.993454 | − | 0.114230i | \(-0.963560\pi\) |
0.415634 | + | 0.909532i | \(0.363560\pi\) | |||||||
\(662\) | 1.03211 | − | 6.51651i | 0.0401142 | − | 0.253271i | ||||
\(663\) | 1.76479 | − | 11.1424i | 0.0685386 | − | 0.432736i | ||||
\(664\) | −16.1976 | − | 11.7683i | −0.628589 | − | 0.456697i | ||||
\(665\) | 13.7654 | + | 12.5340i | 0.533799 | + | 0.486047i | ||||
\(666\) | 4.67883 | − | 3.39937i | 0.181301 | − | 0.131723i | ||||
\(667\) | −7.59675 | − | 14.9095i | −0.294147 | − | 0.577296i | ||||
\(668\) | 23.1316 | − | 23.1316i | 0.894987 | − | 0.894987i | ||||
\(669\) | 12.4269 | + | 4.03773i | 0.480450 | + | 0.156108i | ||||
\(670\) | −10.0641 | − | 0.437865i | −0.388809 | − | 0.0169162i | ||||
\(671\) | 13.5980 | − | 4.41826i | 0.524946 | − | 0.170565i | ||||
\(672\) | 22.0426 | − | 13.8659i | 0.850311 | − | 0.534890i | ||||
\(673\) | −4.35946 | − | 27.5245i | −0.168045 | − | 1.06099i | −0.917150 | − | 0.398542i | \(-0.869516\pi\) |
0.749106 | − | 0.662451i | \(-0.230484\pi\) | |||||||
\(674\) | 12.2673i | 0.472521i | ||||||||
\(675\) | 25.7834 | − | 10.4264i | 0.992405 | − | 0.401311i | ||||
\(676\) | 6.74084 | 0.259263 | ||||||||
\(677\) | 6.24838 | + | 39.4507i | 0.240145 | + | 1.51621i | 0.753162 | + | 0.657835i | \(0.228528\pi\) |
−0.513017 | + | 0.858378i | \(0.671472\pi\) | |||||||
\(678\) | −20.6855 | − | 10.5398i | −0.794423 | − | 0.404779i | ||||
\(679\) | −10.3176 | + | 45.3108i | −0.395954 | + | 1.73887i | ||||
\(680\) | 2.02605 | + | 7.30138i | 0.0776956 | + | 0.279995i | ||||
\(681\) | −10.8022 | + | 33.2459i | −0.413943 | + | 1.27399i | ||||
\(682\) | −5.96380 | − | 5.96380i | −0.228366 | − | 0.228366i | ||||
\(683\) | −33.5003 | + | 17.0693i | −1.28185 | + | 0.653138i | −0.956300 | − | 0.292386i | \(-0.905551\pi\) |
−0.325554 | + | 0.945523i | \(0.605551\pi\) | |||||||
\(684\) | 1.83616 | − | 1.33405i | 0.0702074 | − | 0.0510087i | ||||
\(685\) | −2.17251 | − | 2.37015i | −0.0830075 | − | 0.0905589i | ||||
\(686\) | 20.8729 | − | 26.2559i | 0.796930 | − | 1.00246i | ||||
\(687\) | 3.76917 | − | 23.7976i | 0.143803 | − | 0.907935i | ||||
\(688\) | −26.8278 | − | 4.24910i | −1.02280 | − | 0.161995i | ||||
\(689\) | 32.0725 | + | 23.3020i | 1.22186 | + | 0.887736i | ||||
\(690\) | −22.5875 | − | 24.6424i | −0.859892 | − | 0.938119i | ||||
\(691\) | −29.5307 | − | 40.6455i | −1.12340 | − | 1.54623i | −0.800034 | − | 0.599954i | \(-0.795186\pi\) |
−0.323366 | − | 0.946274i | \(-0.604814\pi\) | |||||||
\(692\) | 4.81804 | − | 2.45491i | 0.183154 | − | 0.0933218i | ||||
\(693\) | −0.376905 | − | 1.49258i | −0.0143174 | − | 0.0566983i | ||||
\(694\) | −9.53600 | − | 3.09843i | −0.361981 | − | 0.117615i | ||||
\(695\) | −6.58029 | + | 1.82596i | −0.249605 | + | 0.0692626i | ||||
\(696\) | −6.12527 | + | 1.99022i | −0.232178 | + | 0.0754392i | ||||
\(697\) | −15.8742 | − | 8.08829i | −0.601277 | − | 0.306366i | ||||
\(698\) | −24.1687 | + | 3.82794i | −0.914798 | + | 0.144890i | ||||
\(699\) | −39.2302 | −1.48382 | ||||||||
\(700\) | −12.0131 | − | 11.9339i | −0.454054 | − | 0.451060i | ||||
\(701\) | 15.9234 | 0.601420 | 0.300710 | − | 0.953716i | \(-0.402776\pi\) | ||||
0.300710 | + | 0.953716i | \(0.402776\pi\) | |||||||
\(702\) | −27.6704 | + | 4.38256i | −1.04435 | + | 0.165409i | ||||
\(703\) | −15.8903 | − | 8.09650i | −0.599313 | − | 0.305365i | ||||
\(704\) | −1.54852 | + | 0.503143i | −0.0583619 | + | 0.0189629i | ||||
\(705\) | −0.466920 | + | 10.7319i | −0.0175852 | + | 0.404186i | ||||
\(706\) | 51.3641 | + | 16.6892i | 1.93311 | + | 0.628106i | ||||
\(707\) | 0.0942865 | + | 0.373383i | 0.00354601 | + | 0.0140425i | ||||
\(708\) | −2.29724 | + | 1.17050i | −0.0863357 | + | 0.0439902i | ||||
\(709\) | −5.03222 | − | 6.92626i | −0.188989 | − | 0.260121i | 0.704000 | − | 0.710200i | \(-0.251396\pi\) |
−0.892989 | + | 0.450079i | \(0.851396\pi\) | |||||||
\(710\) | 0.492306 | + | 0.100082i | 0.0184759 | + | 0.00375603i | ||||
\(711\) | 5.68594 | + | 4.13108i | 0.213240 | + | 0.154928i | ||||
\(712\) | 16.6113 | + | 2.63097i | 0.622535 | + | 0.0985998i | ||||
\(713\) | 3.73064 | − | 23.5543i | 0.139714 | − | 0.882116i | ||||
\(714\) | −17.8698 | + | 7.64869i | −0.668762 | + | 0.286245i | ||||
\(715\) | 0.727903 | + | 6.38005i | 0.0272220 | + | 0.238600i | ||||
\(716\) | 0.537339 | − | 0.390400i | 0.0200813 | − | 0.0145899i | ||||
\(717\) | 17.4688 | − | 8.90080i | 0.652384 | − | 0.332406i | ||||
\(718\) | −23.0401 | − | 23.0401i | −0.859850 | − | 0.859850i | ||||
\(719\) | 8.31040 | − | 25.5768i | 0.309925 | − | 0.953852i | −0.667868 | − | 0.744280i | \(-0.732793\pi\) |
0.977793 | − | 0.209572i | \(-0.0672072\pi\) | |||||||
\(720\) | 5.17028 | − | 3.42327i | 0.192685 | − | 0.127578i | ||||
\(721\) | −36.4011 | − | 8.28881i | −1.35565 | − | 0.308691i | ||||
\(722\) | 14.6806 | + | 7.48014i | 0.546355 | + | 0.278382i | ||||
\(723\) | 0.196552 | + | 1.24098i | 0.00730983 | + | 0.0461525i | ||||
\(724\) | 0.852172 | 0.0316707 | ||||||||
\(725\) | 8.15285 | + | 13.5592i | 0.302789 | + | 0.503577i | ||||
\(726\) | 28.0824i | 1.04224i | ||||||||
\(727\) | −6.67632 | − | 42.1526i | −0.247611 | − | 1.56335i | −0.727552 | − | 0.686053i | \(-0.759342\pi\) |
0.479941 | − | 0.877301i | \(-0.340658\pi\) | |||||||
\(728\) | −5.10845 | − | 8.12087i | −0.189332 | − | 0.300979i | ||||
\(729\) | −28.5196 | + | 9.26659i | −1.05628 | + | 0.343207i | ||||
\(730\) | −15.8918 | + | 42.5243i | −0.588181 | + | 1.57390i | ||||
\(731\) | 13.6408 | + | 4.43218i | 0.504525 | + | 0.163930i | ||||
\(732\) | −19.5619 | + | 19.5619i | −0.723030 | + | 0.723030i | ||||
\(733\) | 9.97623 | + | 19.5795i | 0.368480 | + | 0.723184i | 0.998577 | − | 0.0533333i | \(-0.0169846\pi\) |
−0.630096 | + | 0.776517i | \(0.716985\pi\) | |||||||
\(734\) | −27.9459 | + | 20.3039i | −1.03150 | + | 0.749430i | ||||
\(735\) | −14.7540 | + | 19.4749i | −0.544209 | + | 0.718343i | ||||
\(736\) | −26.9763 | − | 19.5994i | −0.994360 | − | 0.722445i | ||||
\(737\) | 0.401830 | − | 2.53705i | 0.0148016 | − | 0.0934536i | ||||
\(738\) | −1.09438 | + | 6.90964i | −0.0402846 | + | 0.254347i | ||||
\(739\) | −2.58090 | + | 3.55231i | −0.0949401 | + | 0.130674i | −0.853844 | − | 0.520528i | \(-0.825735\pi\) |
0.758904 | + | 0.651202i | \(0.225735\pi\) | |||||||
\(740\) | 14.1195 | + | 7.98557i | 0.519043 | + | 0.293555i | ||||
\(741\) | 8.02925 | + | 11.0513i | 0.294962 | + | 0.405980i | ||||
\(742\) | 4.56025 | − | 68.1546i | 0.167412 | − | 2.50203i | ||||
\(743\) | −0.532120 | − | 0.532120i | −0.0195216 | − | 0.0195216i | 0.697279 | − | 0.716800i | \(-0.254394\pi\) |
−0.716800 | + | 0.697279i | \(0.754394\pi\) | |||||||
\(744\) | −8.72962 | − | 2.83642i | −0.320043 | − | 0.103988i | ||||
\(745\) | 22.6747 | + | 18.0306i | 0.830736 | + | 0.660590i | ||||
\(746\) | 2.10425 | + | 6.47622i | 0.0770422 | + | 0.237111i | ||||
\(747\) | 3.92779 | − | 7.70873i | 0.143710 | − | 0.282048i | ||||
\(748\) | 3.39285 | − | 0.537375i | 0.124055 | − | 0.0196484i | ||||
\(749\) | 3.15274 | − | 5.28291i | 0.115199 | − | 0.193033i | ||||
\(750\) | 22.9368 | + | 21.7462i | 0.837532 | + | 0.794059i | ||||
\(751\) | 32.5837 | 1.18900 | 0.594498 | − | 0.804097i | \(-0.297351\pi\) | ||||
0.594498 | + | 0.804097i | \(0.297351\pi\) | |||||||
\(752\) | 2.36947 | + | 14.9603i | 0.0864057 | + | 0.545544i | ||||
\(753\) | 8.51031 | − | 16.7024i | 0.310133 | − | 0.608670i | ||||
\(754\) | −4.92491 | − | 15.1573i | −0.179355 | − | 0.551997i | ||||
\(755\) | −33.2135 | + | 41.7682i | −1.20876 | + | 1.52010i | ||||
\(756\) | 12.4013 | + | 14.1798i | 0.451030 | + | 0.515715i | ||||
\(757\) | −6.11615 | + | 6.11615i | −0.222295 | + | 0.222295i | −0.809464 | − | 0.587169i | \(-0.800242\pi\) |
0.587169 | + | 0.809464i | \(0.300242\pi\) | |||||||
\(758\) | 16.4565 | − | 8.38501i | 0.597728 | − | 0.304557i | ||||
\(759\) | 6.89598 | − | 5.01022i | 0.250308 | − | 0.181860i | ||||
\(760\) | −7.98627 | − | 4.51680i | −0.289692 | − | 0.163842i | ||||
\(761\) | −1.91544 | + | 2.63638i | −0.0694346 | + | 0.0955686i | −0.842322 | − | 0.538975i | \(-0.818812\pi\) |
0.772887 | + | 0.634543i | \(0.218812\pi\) | |||||||
\(762\) | −20.9760 | − | 3.32227i | −0.759879 | − | 0.120353i | ||||
\(763\) | −9.62577 | − | 8.02786i | −0.348476 | − | 0.290628i | ||||
\(764\) | 3.56902 | − | 4.91234i | 0.129123 | − | 0.177722i | ||||
\(765\) | −2.97930 | + | 1.35829i | −0.107717 | + | 0.0491093i | ||||
\(766\) | 16.7497 | + | 23.0540i | 0.605192 | + | 0.832975i | ||||
\(767\) | 1.62916 | + | 3.19740i | 0.0588255 | + | 0.115451i | ||||
\(768\) | −22.9818 | + | 22.9818i | −0.829285 | + | 0.829285i | ||||
\(769\) | 2.73439 | − | 8.41559i | 0.0986047 | − | 0.303474i | −0.889572 | − | 0.456796i | \(-0.848997\pi\) |
0.988176 | + | 0.153322i | \(0.0489971\pi\) | |||||||
\(770\) | 8.63721 | − | 6.91496i | 0.311264 | − | 0.249198i | ||||
\(771\) | 4.21044 | + | 12.9584i | 0.151635 | + | 0.466686i | ||||
\(772\) | −10.6116 | − | 5.40687i | −0.381919 | − | 0.194597i | ||||
\(773\) | 25.3212 | − | 4.01048i | 0.910739 | − | 0.144247i | 0.316553 | − | 0.948575i | \(-0.397474\pi\) |
0.594186 | + | 0.804328i | \(0.297474\pi\) | |||||||
\(774\) | − | 5.63197i | − | 0.202437i | ||||||
\(775\) | −1.95837 | + | 22.4634i | −0.0703467 | + | 0.806908i | ||||
\(776\) | − | 22.9025i | − | 0.822150i | ||||||
\(777\) | 8.70260 | − | 21.7273i | 0.312204 | − | 0.779462i | ||||
\(778\) | −11.8816 | + | 23.3189i | −0.425974 | + | 0.836022i | ||||
\(779\) | 20.5170 | − | 6.66636i | 0.735096 | − | 0.238847i | ||||
\(780\) | −6.85930 | − | 10.3598i | −0.245602 | − | 0.370942i | ||||
\(781\) | −0.0395856 | + | 0.121832i | −0.00141648 | + | 0.00435949i | ||||
\(782\) | 17.5995 | + | 17.5995i | 0.629357 | + | 0.629357i | ||||
\(783\) | −7.99070 | − | 15.6826i | −0.285564 | − | 0.560451i | ||||
\(784\) | −14.9162 | + | 31.0546i | −0.532720 | + | 1.10909i | ||||
\(785\) | 30.3546 | − | 3.46317i | 1.08340 | − | 0.123606i | ||||
\(786\) | −38.9883 | − | 28.3267i | −1.39067 | − | 1.01038i | ||||
\(787\) | 4.15733 | + | 0.658456i | 0.148193 | + | 0.0234714i | 0.230090 | − | 0.973169i | \(-0.426098\pi\) |
−0.0818973 | + | 0.996641i | \(0.526098\pi\) | |||||||
\(788\) | −11.5734 | − | 1.83305i | −0.412285 | − | 0.0652995i | ||||
\(789\) | −18.4389 | − | 13.3966i | −0.656442 | − | 0.476933i | ||||
\(790\) | −10.0632 | + | 49.5010i | −0.358033 | + | 1.76117i | ||||
\(791\) | 21.6390 | − | 1.95865i | 0.769394 | − | 0.0696416i | ||||
\(792\) | 0.344438 | + | 0.675997i | 0.0122391 | + | 0.0240205i | ||||
\(793\) | 27.2272 | + | 27.2272i | 0.966864 | + | 0.966864i | ||||
\(794\) | −15.3878 | + | 47.3587i | −0.546091 | + | 1.68070i | ||||
\(795\) | −2.16274 | + | 49.7094i | −0.0767046 | + | 1.76301i | ||||
\(796\) | −1.96814 | + | 0.639488i | −0.0697589 | + | 0.0226660i | ||||
\(797\) | 6.74605 | − | 13.2399i | 0.238957 | − | 0.468980i | −0.740118 | − | 0.672477i | \(-0.765231\pi\) |
0.979076 | + | 0.203496i | \(0.0652305\pi\) | |||||||
\(798\) | 8.75146 | − | 21.8493i | 0.309798 | − | 0.773456i | ||||
\(799\) | − | 7.99815i | − | 0.282954i | ||||||
\(800\) | 26.7422 | + | 16.6990i | 0.945479 | + | 0.590399i | ||||
\(801\) | 7.26762i | 0.256789i | ||||||||
\(802\) | 43.3071 | − | 6.85917i | 1.52923 | − | 0.242206i | ||||
\(803\) | −10.3141 | − | 5.25530i | −0.363977 | − | 0.185455i | ||||
\(804\) | 1.53585 | + | 4.72687i | 0.0541654 | + | 0.166704i | ||||
\(805\) | 30.1734 | + | 8.26538i | 1.06347 | + | 0.291316i | ||||
\(806\) | 7.01889 | − | 21.6019i | 0.247230 | − | 0.760895i | ||||
\(807\) | −10.8134 | + | 10.8134i | −0.380649 | + | 0.380649i | ||||
\(808\) | −0.0861645 | − | 0.169107i | −0.00303126 | − | 0.00594917i | ||||
\(809\) | −24.5445 | − | 33.7826i | −0.862938 | − | 1.18773i | −0.980861 | − | 0.194710i | \(-0.937624\pi\) |
0.117923 | − | 0.993023i | \(-0.462376\pi\) | |||||||
\(810\) | −19.1333 | − | 20.8739i | −0.672276 | − | 0.733435i | ||||
\(811\) | 10.3810 | − | 14.2883i | 0.364527 | − | 0.501728i | −0.586876 | − | 0.809677i | \(-0.699642\pi\) |
0.951403 | + | 0.307948i | \(0.0996424\pi\) | |||||||
\(812\) | −6.86369 | + | 8.22988i | −0.240868 | + | 0.288812i | ||||
\(813\) | −22.8844 | − | 3.62454i | −0.802592 | − | 0.127118i | ||||
\(814\) | −6.22998 | + | 8.57483i | −0.218361 | + | 0.300547i | ||||
\(815\) | −29.4520 | + | 26.9961i | −1.03166 | + | 0.945632i | ||||
\(816\) | 16.1519 | − | 11.7351i | 0.565431 | − | 0.410810i | ||||
\(817\) | −15.4744 | + | 7.88458i | −0.541379 | + | 0.275846i | ||||
\(818\) | 37.9097 | − | 37.9097i | 1.32548 | − | 1.32548i | ||||
\(819\) | 3.12069 | − | 2.72927i | 0.109046 | − | 0.0953684i | ||||
\(820\) | −18.9074 | + | 5.24661i | −0.660276 | + | 0.183219i | ||||
\(821\) | −9.20912 | − | 28.3428i | −0.321400 | − | 0.989169i | −0.973039 | − | 0.230640i | \(-0.925918\pi\) |
0.651639 | − | 0.758529i | \(-0.274082\pi\) | |||||||
\(822\) | −1.84542 | + | 3.62183i | −0.0643663 | + | 0.126326i | ||||
\(823\) | 2.98843 | + | 18.8682i | 0.104170 | + | 0.657705i | 0.983420 | + | 0.181344i | \(0.0580446\pi\) |
−0.879250 | + | 0.476361i | \(0.841955\pi\) | |||||||
\(824\) | 18.3990 | 0.640961 | ||||||||
\(825\) | −6.17233 | + | 5.18242i | −0.214893 | + | 0.180429i | ||||
\(826\) | 3.16861 | − | 5.30949i | 0.110250 | − | 0.184741i | ||||
\(827\) | −4.73597 | + | 0.750105i | −0.164686 | + | 0.0260837i | −0.238233 | − | 0.971208i | \(-0.576568\pi\) |
0.0735469 | + | 0.997292i | \(0.476568\pi\) | |||||||
\(828\) | 1.73153 | − | 3.39832i | 0.0601748 | − | 0.118100i | ||||
\(829\) | −2.39924 | − | 7.38410i | −0.0833290 | − | 0.256460i | 0.900708 | − | 0.434425i | \(-0.143049\pi\) |
−0.984037 | + | 0.177965i | \(0.943049\pi\) | |||||||
\(830\) | 62.1232 | + | 2.70284i | 2.15633 | + | 0.0938170i | ||||
\(831\) | −41.5504 | − | 13.5006i | −1.44137 | − | 0.468329i | ||||
\(832\) | −3.10057 | − | 3.10057i | −0.107493 | − | 0.107493i | ||||
\(833\) | 10.3447 | − | 14.9642i | 0.358421 | − | 0.518477i | ||||
\(834\) | 5.07473 | + | 6.98476i | 0.175723 | + | 0.241863i | ||||
\(835\) | 11.3845 | − | 56.0003i | 0.393976 | − | 1.93797i | ||||
\(836\) | −2.44490 | + | 3.36511i | −0.0845585 | + | 0.116385i | ||||
\(837\) | 3.92410 | − | 24.7758i | 0.135637 | − | 0.856377i | ||||
\(838\) | −2.54505 | + | 16.0688i | −0.0879173 | + | 0.555088i | ||||
\(839\) | −7.46240 | − | 5.42175i | −0.257631 | − | 0.187180i | 0.451471 | − | 0.892286i | \(-0.350899\pi\) |
−0.709102 | + | 0.705106i | \(0.750899\pi\) | |||||||
\(840\) | 4.95885 | − | 10.9728i | 0.171097 | − | 0.378599i | ||||
\(841\) | −15.3609 | + | 11.1604i | −0.529687 | + | 0.384840i | ||||
\(842\) | 14.5000 | + | 28.4579i | 0.499705 | + | 0.980726i | ||||
\(843\) | 7.45045 | − | 7.45045i | 0.256607 | − | 0.256607i | ||||
\(844\) | 12.2922 | + | 3.99398i | 0.423115 | + | 0.137478i | ||||
\(845\) | 9.81841 | − | 6.50083i | 0.337764 | − | 0.223635i | ||||
\(846\) | −2.98690 | + | 0.970503i | −0.102692 | + | 0.0333666i | ||||
\(847\) | −13.9942 | − | 22.2465i | −0.480846 | − | 0.764397i | ||||
\(848\) | 10.9752 | + | 69.2950i | 0.376891 | + | 2.37960i | ||||
\(849\) | 16.4229i | 0.563632i | ||||||||
\(850\) | −17.7656 | − | 15.4338i | −0.609354 | − | 0.529377i | ||||
\(851\) | −29.9696 | −1.02734 | ||||||||
\(852\) | −0.0387744 | − | 0.244812i | −0.00132839 | − | 0.00838712i | ||||
\(853\) | 33.6890 | + | 17.1654i | 1.15349 | + | 0.587733i | 0.922794 | − | 0.385293i | \(-0.125900\pi\) |
0.230696 | + | 0.973026i | \(0.425900\pi\) | |||||||
\(854\) | 14.7302 | − | 64.6890i | 0.504057 | − | 2.21361i | ||||
\(855\) | 1.38792 | − | 3.71390i | 0.0474660 | − | 0.127013i | ||||
\(856\) | −0.936942 | + | 2.88361i | −0.0320240 | + | 0.0985598i | ||||
\(857\) | −29.2478 | − | 29.2478i | −0.999086 | − | 0.999086i | 0.000913871 | − | 1.00000i | \(-0.499709\pi\) |
−1.00000 | 0.000913871i | \(0.999709\pi\) | ||||||||
\(858\) | 7.23360 | − | 3.68570i | 0.246951 | − | 0.125828i | ||||
\(859\) | 20.2921 | − | 14.7431i | 0.692359 | − | 0.503028i | −0.185076 | − | 0.982724i | \(-0.559253\pi\) |
0.877435 | + | 0.479696i | \(0.159253\pi\) | |||||||
\(860\) | 14.3734 | − | 6.55297i | 0.490127 | − | 0.223454i | ||||
\(861\) | 11.1406 | + | 26.0280i | 0.379670 | + | 0.887033i | ||||
\(862\) | −1.95041 | + | 12.3144i | −0.0664313 | + | 0.419431i | ||||
\(863\) | −30.8865 | − | 4.89193i | −1.05139 | − | 0.166523i | −0.393258 | − | 0.919428i | \(-0.628652\pi\) |
−0.658129 | + | 0.752905i | \(0.728652\pi\) | |||||||
\(864\) | −28.3752 | − | 20.6158i | −0.965346 | − | 0.701365i | ||||
\(865\) | 4.65024 | − | 8.22220i | 0.158113 | − | 0.279563i | ||||
\(866\) | 10.5247 | + | 14.4860i | 0.357645 | + | 0.492256i | ||||
\(867\) | 14.2505 | − | 7.26098i | 0.483972 | − | 0.246596i | ||||
\(868\) | −14.8080 | + | 3.73930i | −0.502615 | + | 0.126920i | ||||
\(869\) | −12.2501 | − | 3.98030i | −0.415556 | − | 0.135022i | ||||
\(870\) | 12.4496 | − | 15.6562i | 0.422082 | − | 0.530796i | ||||
\(871\) | 6.57906 | − | 2.13767i | 0.222923 | − | 0.0724321i | ||||
\(872\) | 5.50396 | + | 2.80441i | 0.186388 | + | 0.0949692i | ||||
\(873\) | 9.77486 | − | 1.54819i | 0.330829 | − | 0.0523981i | ||||
\(874\) | −30.1378 | −1.01943 | ||||||||
\(875\) | −29.0068 | − | 5.79702i | −0.980609 | − | 0.195975i | ||||
\(876\) | 22.3980 | 0.756757 | ||||||||
\(877\) | 34.9829 | − | 5.54075i | 1.18129 | − | 0.187098i | 0.465264 | − | 0.885172i | \(-0.345959\pi\) |
0.716026 | + | 0.698074i | \(0.245959\pi\) | |||||||
\(878\) | −12.0751 | − | 6.15258i | −0.407515 | − | 0.207639i | ||||
\(879\) | 22.0364 | − | 7.16007i | 0.743271 | − | 0.241503i | ||||
\(880\) | −7.07303 | + | 8.89481i | −0.238432 | + | 0.299844i | ||||
\(881\) | 9.68265 | + | 3.14608i | 0.326217 | + | 0.105994i | 0.467547 | − | 0.883968i | \(-0.345138\pi\) |
−0.141330 | + | 0.989963i | \(0.545138\pi\) | |||||||
\(882\) | −6.84358 | − | 2.04744i | −0.230435 | − | 0.0689408i | ||||
\(883\) | −7.49338 | + | 3.81807i | −0.252172 | + | 0.128488i | −0.575508 | − | 0.817796i | \(-0.695196\pi\) |
0.323336 | + | 0.946284i | \(0.395196\pi\) | |||||||
\(884\) | 5.43766 | + | 7.48430i | 0.182888 | + | 0.251724i | ||||
\(885\) | −2.21724 | + | 3.92035i | −0.0745316 | + | 0.131781i | ||||
\(886\) | −39.1978 | − | 28.4788i | −1.31687 | − | 0.956765i | ||||
\(887\) | −1.98578 | − | 0.314516i | −0.0666758 | − | 0.0105604i | 0.123007 | − | 0.992406i | \(-0.460746\pi\) |
−0.189683 | + | 0.981845i | \(0.560746\pi\) | |||||||
\(888\) | −1.80448 | + | 11.3930i | −0.0605543 | + | 0.382325i | ||||
\(889\) | 18.2724 | − | 7.82100i | 0.612836 | − | 0.262308i | ||||
\(890\) | −47.5278 | + | 21.6684i | −1.59313 | + | 0.726328i | ||||
\(891\) | 5.84141 | − | 4.24403i | 0.195695 | − | 0.142180i | ||||
\(892\) | −9.54705 | + | 4.86446i | −0.319659 | + | 0.162874i | ||||
\(893\) | 6.84811 | + | 6.84811i | 0.229163 | + | 0.229163i | ||||
\(894\) | 11.3179 | − | 34.8330i | 0.378529 | − | 1.16499i | ||||
\(895\) | 0.406165 | − | 1.08685i | 0.0135766 | − | 0.0363292i | ||||
\(896\) | 5.73060 | − | 25.1664i | 0.191446 | − | 0.840752i | ||||
\(897\) | 20.4535 | + | 10.4216i | 0.682922 | + | 0.347966i | ||||
\(898\) | −9.32262 | − | 58.8607i | −0.311100 | − | 1.96421i | ||||
\(899\) | 14.2701 | 0.475936 | ||||||||
\(900\) | −1.40805 | + | 3.31997i | −0.0469349 | + | 0.110666i | ||||
\(901\) | − | 37.0469i | − | 1.23421i | ||||||
\(902\) | −2.00565 | − | 12.6632i | −0.0667810 | − | 0.421639i | ||||
\(903\) | −12.1363 | − | 19.2930i | −0.403870 | − | 0.642029i | ||||
\(904\) | −10.1840 | + | 3.30899i | −0.338715 | + | 0.110055i | ||||
\(905\) | 1.24124 | − | 0.821829i | 0.0412601 | − | 0.0273185i | ||||
\(906\) | 64.1647 | + | 20.8484i | 2.13173 | + | 0.692641i | ||||
\(907\) | −1.24866 | + | 1.24866i | −0.0414612 | + | 0.0414612i | −0.727533 | − | 0.686072i | \(-0.759333\pi\) |
0.686072 | + | 0.727533i | \(0.259333\pi\) | |||||||
\(908\) | −13.0140 | − | 25.5415i | −0.431886 | − | 0.847624i | ||||
\(909\) | 0.0663510 | − | 0.0482068i | 0.00220072 | − | 0.00159892i | ||||
\(910\) | 27.1529 | + | 12.2709i | 0.900108 | + | 0.406778i | ||||
\(911\) | −35.8927 | − | 26.0776i | −1.18918 | − | 0.863988i | −0.196001 | − | 0.980604i | \(-0.562796\pi\) |
−0.993177 | + | 0.116615i | \(0.962796\pi\) | |||||||
\(912\) | −3.78178 | + | 23.8772i | −0.125227 | + | 0.790653i | ||||
\(913\) | −2.48041 | + | 15.6607i | −0.0820894 | + | 0.518292i | ||||
\(914\) | 14.7699 | − | 20.3290i | 0.488544 | − | 0.672423i | ||||
\(915\) | −9.62765 | + | 47.3585i | −0.318280 | + | 1.56562i | ||||
\(916\) | 11.6136 | + | 15.9847i | 0.383723 | + | 0.528149i | ||||
\(917\) | 45.0018 | + | 3.01109i | 1.48609 | + | 0.0994349i | ||||
\(918\) | 18.5122 | + | 18.5122i | 0.610993 | + | 0.610993i | ||||
\(919\) | 46.5921 | + | 15.1387i | 1.53693 | + | 0.499380i | 0.950528 | − | 0.310639i | \(-0.100543\pi\) |
0.586404 | + | 0.810019i | \(0.300543\pi\) | |||||||
\(920\) | −15.4038 | − | 0.670186i | −0.507849 | − | 0.0220954i | ||||
\(921\) | 1.98425 | + | 6.10689i | 0.0653833 | + | 0.201229i | ||||
\(922\) | 20.8736 | − | 40.9667i | 0.687434 | − | 1.34917i | ||||
\(923\) | −0.340740 | + | 0.0539679i | −0.0112156 | + | 0.00177637i | ||||
\(924\) | −4.68762 | − | 2.79749i | −0.154211 | − | 0.0920306i | ||||
\(925\) | 28.2670 | − | 1.98531i | 0.929415 | − | 0.0652766i | ||||
\(926\) | 59.9918 | 1.97145 | ||||||||
\(927\) | 1.24376 | + | 7.85278i | 0.0408504 | + | 0.257919i | ||||
\(928\) | 9.05836 | − | 17.7780i | 0.297355 | − | 0.583592i | ||||
\(929\) | −11.9075 | − | 36.6474i | −0.390672 | − | 1.20236i | −0.932281 | − | 0.361734i | \(-0.882185\pi\) |
0.541610 | − | 0.840630i | \(-0.317815\pi\) | |||||||
\(930\) | 27.4696 | − | 7.62252i | 0.900763 | − | 0.249952i | ||||
\(931\) | 3.95527 | + | 21.6697i | 0.129629 | + | 0.710196i | ||||
\(932\) | 22.7478 | − | 22.7478i | 0.745128 | − | 0.745128i | ||||
\(933\) | −1.53080 | + | 0.779982i | −0.0501162 | + | 0.0255355i | ||||
\(934\) | −44.3291 | + | 32.2069i | −1.45049 | + | 1.05384i | ||||
\(935\) | 4.42364 | − | 4.05476i | 0.144669 | − | 0.132605i | ||||
\(936\) | −1.20097 | + | 1.65299i | −0.0392548 | + | 0.0540296i | ||||
\(937\) | −25.6720 | − | 4.06605i | −0.838669 | − | 0.132832i | −0.277699 | − | 0.960668i | \(-0.589572\pi\) |
−0.560970 | + | 0.827836i | \(0.689572\pi\) | |||||||
\(938\) | −9.15362 | − | 7.63408i | −0.298876 | − | 0.249262i | ||||
\(939\) | −10.3404 | + | 14.2323i | −0.337446 | + | 0.464454i | ||||
\(940\) | −5.95217 | − | 6.49366i | −0.194138 | − | 0.211800i | ||||
\(941\) | −29.0782 | − | 40.0227i | −0.947921 | − | 1.30470i | −0.952445 | − | 0.304712i | \(-0.901440\pi\) |
0.00452323 | − | 0.999990i | \(-0.498560\pi\) | |||||||
\(942\) | −17.5356 | − | 34.4156i | −0.571341 | − | 1.12132i | ||||
\(943\) | 25.6343 | − | 25.6343i | 0.834768 | − | 0.834768i | ||||
\(944\) | −1.96248 | + | 6.03990i | −0.0638733 | + | 0.196582i | ||||
\(945\) | 31.7381 | + | 8.69400i | 1.03244 | + | 0.282816i | ||||
\(946\) | 3.18956 | + | 9.81646i | 0.103702 | + | 0.319161i | ||||
\(947\) | −35.9264 | − | 18.3054i | −1.16745 | − | 0.594847i | −0.240730 | − | 0.970592i | \(-0.577387\pi\) |
−0.926723 | + | 0.375745i | \(0.877387\pi\) | |||||||
\(948\) | 24.6156 | − | 3.89873i | 0.799479 | − | 0.126625i | ||||
\(949\) | − | 31.1744i | − | 1.01197i | ||||||
\(950\) | 28.4258 | − | 1.99646i | 0.922254 | − | 0.0647736i | ||||
\(951\) | − | 10.2050i | − | 0.330919i | ||||||
\(952\) | −3.33358 | + | 8.32276i | −0.108042 | + | 0.269742i | ||||
\(953\) | 5.80402 | − | 11.3910i | 0.188011 | − | 0.368992i | −0.777691 | − | 0.628647i | \(-0.783609\pi\) |
0.965701 | + | 0.259655i | \(0.0836090\pi\) | |||||||
\(954\) | −13.8351 | + | 4.49531i | −0.447929 | + | 0.145541i | ||||
\(955\) | 0.461053 | − | 10.5970i | 0.0149193 | − | 0.342912i | ||||
\(956\) | −4.96819 | + | 15.2905i | −0.160683 | + | 0.494530i | ||||
\(957\) | 3.60663 | + | 3.60663i | 0.116586 | + | 0.116586i | ||||
\(958\) | 7.88960 | + | 15.4842i | 0.254901 | + | 0.500272i | ||||
\(959\) | −0.342940 | − | 3.78877i | −0.0110741 | − | 0.122346i | ||||
\(960\) | 1.09638 | − | 5.39309i | 0.0353854 | − | 0.174061i | ||||
\(961\) | −8.62611 | − | 6.26724i | −0.278262 | − | 0.202169i | ||||
\(962\) | −28.1926 | − | 4.46527i | −0.908967 | − | 0.143966i | ||||
\(963\) | −1.29407 | − | 0.204961i | −0.0417009 | − | 0.00660477i | ||||
\(964\) | −0.833557 | − | 0.605615i | −0.0268471 | − | 0.0195055i | ||||
\(965\) | −20.6707 | + | 2.35833i | −0.665414 | + | 0.0759174i | ||||
\(966\) | −3.56553 | − | 39.3917i | −0.114719 | − | 1.26741i | ||||
\(967\) | 19.9758 | + | 39.2047i | 0.642378 | + | 1.26074i | 0.950893 | + | 0.309519i | \(0.100168\pi\) |
−0.308515 | + | 0.951219i | \(0.599832\pi\) | |||||||
\(968\) | 9.15897 | + | 9.15897i | 0.294380 | + | 0.294380i | ||||
\(969\) | 3.94472 | − | 12.1406i | 0.126723 | − | 0.390012i | ||||
\(970\) | 39.2684 | + | 59.3084i | 1.26083 | + | 1.90428i | ||||
\(971\) | 25.0717 | − | 8.14629i | 0.804589 | − | 0.261427i | 0.122285 | − | 0.992495i | \(-0.460978\pi\) |
0.682304 | + | 0.731068i | \(0.260978\pi\) | |||||||
\(972\) | 3.35466 | − | 6.58389i | 0.107601 | − | 0.211178i | ||||
\(973\) | −7.50080 | − | 3.00435i | −0.240465 | − | 0.0963152i | ||||
\(974\) | 76.4697i | 2.45025i | ||||||||
\(975\) | −19.9819 | − | 8.47461i | −0.639933 | − | 0.271405i | ||||
\(976\) | 68.1435i | 2.18122i | ||||||||
\(977\) | 20.5405 | − | 3.25330i | 0.657150 | − | 0.104082i | 0.181051 | − | 0.983474i | \(-0.442050\pi\) |
0.476099 | + | 0.879391i | \(0.342050\pi\) | |||||||
\(978\) | 45.0057 | + | 22.9315i | 1.43912 | + | 0.733270i | ||||
\(979\) | −4.11588 | − | 12.6674i | −0.131544 | − | 0.404851i | ||||
\(980\) | −2.73745 | − | 19.8478i | −0.0874445 | − | 0.634014i | ||||
\(981\) | −0.824870 | + | 2.53869i | −0.0263361 | + | 0.0810541i | ||||
\(982\) | 2.39332 | − | 2.39332i | 0.0763741 | − | 0.0763741i | ||||
\(983\) | −11.2786 | − | 22.1354i | −0.359730 | − | 0.706010i | 0.638230 | − | 0.769845i | \(-0.279667\pi\) |
−0.997960 | + | 0.0638356i | \(0.979667\pi\) | |||||||
\(984\) | −8.20150 | − | 11.2884i | −0.261454 | − | 0.359861i | ||||
\(985\) | −18.6251 | + | 8.49137i | −0.593444 | + | 0.270558i | ||||
\(986\) | −8.75411 | + | 12.0490i | −0.278788 | + | 0.383718i | ||||
\(987\) | −8.14065 | + | 9.76102i | −0.259120 | + | 0.310697i | ||||
\(988\) | −11.0639 | − | 1.75236i | −0.351991 | − | 0.0557499i | ||||
\(989\) | −17.1546 | + | 23.6113i | −0.545484 | + | 0.750794i | ||||
\(990\) | −2.05102 | − | 1.16000i | −0.0651856 | − | 0.0368671i | ||||
\(991\) | 10.8054 | − | 7.85061i | 0.343246 | − | 0.249383i | −0.402784 | − | 0.915295i | \(-0.631957\pi\) |
0.746030 | + | 0.665912i | \(0.231957\pi\) | |||||||
\(992\) | 25.3369 | − | 12.9098i | 0.804447 | − | 0.409886i | ||||
\(993\) | −4.02095 | + | 4.02095i | −0.127601 | + | 0.127601i | ||||
\(994\) | 0.391320 | + | 0.447441i | 0.0124119 | + | 0.0141920i | ||||
\(995\) | −2.24999 | + | 2.82951i | −0.0713295 | + | 0.0897016i | ||||
\(996\) | −9.48048 | − | 29.1779i | −0.300401 | − | 0.924538i | ||||
\(997\) | −10.6766 | + | 20.9540i | −0.338131 | + | 0.663619i | −0.995984 | − | 0.0895266i | \(-0.971465\pi\) |
0.657854 | + | 0.753146i | \(0.271465\pi\) | |||||||
\(998\) | −3.66536 | − | 23.1421i | −0.116025 | − | 0.732552i | ||||
\(999\) | −31.5237 | −0.997367 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 175.2.s.a.13.15 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.s.b.832.15 | 144 | |||
5.3 | odd | 4 | 875.2.s.a.832.4 | 144 | |||
5.4 | even | 2 | 875.2.s.c.293.4 | 144 | |||
7.6 | odd | 2 | inner | 175.2.s.a.13.16 | yes | 144 | |
25.2 | odd | 20 | inner | 175.2.s.a.27.16 | yes | 144 | |
25.11 | even | 5 | 875.2.s.b.468.16 | 144 | |||
25.14 | even | 10 | 875.2.s.a.468.3 | 144 | |||
25.23 | odd | 20 | 875.2.s.c.657.3 | 144 | |||
35.13 | even | 4 | 875.2.s.a.832.3 | 144 | |||
35.27 | even | 4 | 875.2.s.b.832.16 | 144 | |||
35.34 | odd | 2 | 875.2.s.c.293.3 | 144 | |||
175.27 | even | 20 | inner | 175.2.s.a.27.15 | yes | 144 | |
175.48 | even | 20 | 875.2.s.c.657.4 | 144 | |||
175.111 | odd | 10 | 875.2.s.b.468.15 | 144 | |||
175.139 | odd | 10 | 875.2.s.a.468.4 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.s.a.13.15 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.s.a.13.16 | yes | 144 | 7.6 | odd | 2 | inner | |
175.2.s.a.27.15 | yes | 144 | 175.27 | even | 20 | inner | |
175.2.s.a.27.16 | yes | 144 | 25.2 | odd | 20 | inner | |
875.2.s.a.468.3 | 144 | 25.14 | even | 10 | |||
875.2.s.a.468.4 | 144 | 175.139 | odd | 10 | |||
875.2.s.a.832.3 | 144 | 35.13 | even | 4 | |||
875.2.s.a.832.4 | 144 | 5.3 | odd | 4 | |||
875.2.s.b.468.15 | 144 | 175.111 | odd | 10 | |||
875.2.s.b.468.16 | 144 | 25.11 | even | 5 | |||
875.2.s.b.832.15 | 144 | 5.2 | odd | 4 | |||
875.2.s.b.832.16 | 144 | 35.27 | even | 4 | |||
875.2.s.c.293.3 | 144 | 35.34 | odd | 2 | |||
875.2.s.c.293.4 | 144 | 5.4 | even | 2 | |||
875.2.s.c.657.3 | 144 | 25.23 | odd | 20 | |||
875.2.s.c.657.4 | 144 | 175.48 | even | 20 |