Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 85.17 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.17 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30266 | + | 0.550520i | 0.921121 | + | 0.389276i | ||||
\(3\) | −1.71859 | − | 0.215523i | −0.992228 | − | 0.124432i | ||||
\(4\) | 1.39386 | + | 1.43428i | 0.696928 | + | 0.717141i | ||||
\(5\) | 2.73721 | − | 0.733432i | 1.22412 | − | 0.328001i | 0.411830 | − | 0.911261i | \(-0.364890\pi\) |
0.812286 | + | 0.583260i | \(0.198223\pi\) | |||||||
\(6\) | −2.12009 | − | 1.22687i | −0.865524 | − | 0.500868i | ||||
\(7\) | −1.14487 | + | 0.660988i | −0.432718 | + | 0.249830i | −0.700504 | − | 0.713648i | \(-0.747041\pi\) |
0.267786 | + | 0.963479i | \(0.413708\pi\) | |||||||
\(8\) | 1.02612 | + | 2.63573i | 0.362789 | + | 0.931871i | ||||
\(9\) | 2.90710 | + | 0.740791i | 0.969033 | + | 0.246930i | ||||
\(10\) | 3.96942 | + | 0.551472i | 1.25524 | + | 0.174391i | ||||
\(11\) | −0.343957 | + | 1.28367i | −0.103707 | + | 0.387040i | −0.998195 | − | 0.0600515i | \(-0.980874\pi\) |
0.894488 | + | 0.447092i | \(0.147540\pi\) | |||||||
\(12\) | −2.08635 | − | 2.76535i | −0.602276 | − | 0.798288i | ||||
\(13\) | −0.902174 | − | 3.36696i | −0.250218 | − | 0.933827i | −0.970689 | − | 0.240341i | \(-0.922741\pi\) |
0.720470 | − | 0.693486i | \(-0.243926\pi\) | |||||||
\(14\) | −1.85526 | + | 0.230773i | −0.495839 | + | 0.0616768i | ||||
\(15\) | −4.86220 | + | 0.670538i | −1.25542 | + | 0.173132i | ||||
\(16\) | −0.114331 | + | 3.99837i | −0.0285827 | + | 0.999591i | ||||
\(17\) | −7.60772 | −1.84514 | −0.922572 | − | 0.385825i | \(-0.873917\pi\) | ||||
−0.922572 | + | 0.385825i | \(0.873917\pi\) | |||||||
\(18\) | 3.37915 | + | 2.56542i | 0.796473 | + | 0.604674i | ||||
\(19\) | 4.32297 | − | 4.32297i | 0.991757 | − | 0.991757i | −0.00820954 | − | 0.999966i | \(-0.502613\pi\) |
0.999966 | + | 0.00820954i | \(0.00261321\pi\) | |||||||
\(20\) | 4.86722 | + | 2.90363i | 1.08834 | + | 0.649271i | ||||
\(21\) | 2.11001 | − | 0.889223i | 0.460442 | − | 0.194044i | ||||
\(22\) | −1.15474 | + | 1.48283i | −0.246192 | + | 0.316140i | ||||
\(23\) | −3.46087 | − | 1.99814i | −0.721642 | − | 0.416640i | 0.0937148 | − | 0.995599i | \(-0.470126\pi\) |
−0.815357 | + | 0.578959i | \(0.803459\pi\) | |||||||
\(24\) | −1.19542 | − | 4.75089i | −0.244015 | − | 0.969772i | ||||
\(25\) | 2.62424 | − | 1.51511i | 0.524849 | − | 0.303021i | ||||
\(26\) | 0.678350 | − | 4.88267i | 0.133035 | − | 0.957571i | ||||
\(27\) | −4.83645 | − | 1.89966i | −0.930776 | − | 0.365590i | ||||
\(28\) | −2.54382 | − | 0.720737i | −0.480737 | − | 0.136207i | ||||
\(29\) | −3.54658 | − | 0.950303i | −0.658583 | − | 0.176467i | −0.0859765 | − | 0.996297i | \(-0.527401\pi\) |
−0.572606 | + | 0.819830i | \(0.694068\pi\) | |||||||
\(30\) | −6.70295 | − | 1.80325i | −1.22379 | − | 0.329228i | ||||
\(31\) | 0.569129 | − | 0.985760i | 0.102219 | − | 0.177048i | −0.810380 | − | 0.585905i | \(-0.800739\pi\) |
0.912598 | + | 0.408857i | \(0.134073\pi\) | |||||||
\(32\) | −2.35011 | + | 5.14558i | −0.415445 | + | 0.909618i | ||||
\(33\) | 0.867781 | − | 2.13197i | 0.151061 | − | 0.371128i | ||||
\(34\) | −9.91029 | − | 4.18820i | −1.69960 | − | 0.718271i | ||||
\(35\) | −2.64894 | + | 2.64894i | −0.447753 | + | 0.447753i | ||||
\(36\) | 2.98958 | + | 5.20216i | 0.498263 | + | 0.867026i | ||||
\(37\) | 2.26014 | + | 2.26014i | 0.371565 | + | 0.371565i | 0.868047 | − | 0.496482i | \(-0.165375\pi\) |
−0.496482 | + | 0.868047i | \(0.665375\pi\) | |||||||
\(38\) | 8.01124 | − | 3.25149i | 1.29960 | − | 0.527461i | ||||
\(39\) | 0.824810 | + | 5.98086i | 0.132075 | + | 0.957704i | ||||
\(40\) | 4.74184 | + | 6.46194i | 0.749750 | + | 1.02172i | ||||
\(41\) | −1.42311 | − | 0.821634i | −0.222253 | − | 0.128318i | 0.384740 | − | 0.923025i | \(-0.374291\pi\) |
−0.606993 | + | 0.794707i | \(0.707624\pi\) | |||||||
\(42\) | 3.23817 | + | 0.00324637i | 0.499660 | + | 0.000500926i | ||||
\(43\) | 1.65438 | − | 6.17424i | 0.252291 | − | 0.941563i | −0.717287 | − | 0.696778i | \(-0.754616\pi\) |
0.969578 | − | 0.244784i | \(-0.0787172\pi\) | |||||||
\(44\) | −2.32057 | + | 1.29591i | −0.349839 | + | 0.195366i | ||||
\(45\) | 8.50065 | − | 0.104463i | 1.26720 | − | 0.0155724i | ||||
\(46\) | −3.40833 | − | 4.50817i | −0.502531 | − | 0.664694i | ||||
\(47\) | 4.58731 | + | 7.94546i | 0.669129 | + | 1.15896i | 0.978148 | + | 0.207909i | \(0.0666658\pi\) |
−0.309020 | + | 0.951056i | \(0.600001\pi\) | |||||||
\(48\) | 1.05823 | − | 6.84691i | 0.152742 | − | 0.988266i | ||||
\(49\) | −2.62619 | + | 4.54869i | −0.375170 | + | 0.649813i | ||||
\(50\) | 4.25260 | − | 0.528975i | 0.601408 | − | 0.0748084i | ||||
\(51\) | 13.0746 | + | 1.63964i | 1.83080 | + | 0.229595i | ||||
\(52\) | 3.57167 | − | 5.98703i | 0.495301 | − | 0.830252i | ||||
\(53\) | 7.72215 | + | 7.72215i | 1.06072 | + | 1.06072i | 0.998033 | + | 0.0626852i | \(0.0199664\pi\) |
0.0626852 | + | 0.998033i | \(0.480034\pi\) | |||||||
\(54\) | −5.25446 | − | 5.13718i | −0.715042 | − | 0.699082i | ||||
\(55\) | 3.76593i | 0.507798i | ||||||||
\(56\) | −2.91696 | − | 2.33930i | −0.389795 | − | 0.312602i | ||||
\(57\) | −8.36111 | + | 6.49771i | −1.10746 | + | 0.860642i | ||||
\(58\) | −4.09683 | − | 3.19038i | −0.537940 | − | 0.418918i | ||||
\(59\) | −4.80982 | + | 1.28879i | −0.626185 | + | 0.167786i | −0.557938 | − | 0.829883i | \(-0.688407\pi\) |
−0.0682473 | + | 0.997668i | \(0.521741\pi\) | |||||||
\(60\) | −7.73895 | − | 6.03914i | −0.999094 | − | 0.779649i | ||||
\(61\) | 9.92979 | + | 2.66068i | 1.27138 | + | 0.340665i | 0.830559 | − | 0.556931i | \(-0.188021\pi\) |
0.440820 | + | 0.897596i | \(0.354688\pi\) | |||||||
\(62\) | 1.28406 | − | 0.970795i | 0.163076 | − | 0.123291i | ||||
\(63\) | −3.81789 | + | 1.07345i | −0.481009 | + | 0.135242i | ||||
\(64\) | −5.89415 | + | 5.40916i | −0.736768 | + | 0.676145i | ||||
\(65\) | −4.93887 | − | 8.55438i | −0.612592 | − | 1.06104i | ||||
\(66\) | 2.30411 | − | 2.29950i | 0.283617 | − | 0.283049i | ||||
\(67\) | −3.73189 | − | 13.9276i | −0.455923 | − | 1.70153i | −0.685359 | − | 0.728205i | \(-0.740355\pi\) |
0.229436 | − | 0.973324i | \(-0.426312\pi\) | |||||||
\(68\) | −10.6041 | − | 10.9116i | −1.28593 | − | 1.32323i | ||||
\(69\) | 5.51718 | + | 4.17987i | 0.664190 | + | 0.503198i | ||||
\(70\) | −4.90897 | + | 1.99238i | −0.586734 | + | 0.238135i | ||||
\(71\) | 7.87498i | 0.934588i | 0.884102 | + | 0.467294i | \(0.154771\pi\) | ||||
−0.884102 | + | 0.467294i | \(0.845229\pi\) | |||||||
\(72\) | 1.03052 | + | 8.42247i | 0.121447 | + | 0.992598i | ||||
\(73\) | 0.577222i | 0.0675588i | 0.999429 | + | 0.0337794i | \(0.0107544\pi\) | ||||
−0.999429 | + | 0.0337794i | \(0.989246\pi\) | |||||||
\(74\) | 1.69995 | + | 4.18846i | 0.197615 | + | 0.486898i | ||||
\(75\) | −4.83654 | + | 2.03826i | −0.558475 | + | 0.235358i | ||||
\(76\) | 12.2259 | + | 0.174761i | 1.40241 | + | 0.0200464i | ||||
\(77\) | −0.454704 | − | 1.69698i | −0.0518183 | − | 0.193389i | ||||
\(78\) | −2.21813 | + | 8.24511i | −0.251154 | + | 0.933575i | ||||
\(79\) | 0.716890 | + | 1.24169i | 0.0806564 | + | 0.139701i | 0.903532 | − | 0.428521i | \(-0.140965\pi\) |
−0.822876 | + | 0.568221i | \(0.807632\pi\) | |||||||
\(80\) | 2.61958 | + | 11.0282i | 0.292878 | + | 1.23299i | ||||
\(81\) | 7.90246 | + | 4.30711i | 0.878051 | + | 0.478567i | ||||
\(82\) | −1.40151 | − | 1.85376i | −0.154771 | − | 0.204714i | ||||
\(83\) | 3.30414 | + | 0.885341i | 0.362676 | + | 0.0971788i | 0.435555 | − | 0.900162i | \(-0.356552\pi\) |
−0.0728790 | + | 0.997341i | \(0.523219\pi\) | |||||||
\(84\) | 4.21645 | + | 1.78690i | 0.460052 | + | 0.194967i | ||||
\(85\) | −20.8239 | + | 5.57975i | −2.25867 | + | 0.605208i | ||||
\(86\) | 5.55414 | − | 7.13218i | 0.598919 | − | 0.769082i | ||||
\(87\) | 5.89030 | + | 2.39755i | 0.631506 | + | 0.257044i | ||||
\(88\) | −3.73634 | + | 0.410620i | −0.398295 | + | 0.0437723i | ||||
\(89\) | − | 16.2114i | − | 1.71841i | −0.511635 | − | 0.859203i | \(-0.670960\pi\) | ||
0.511635 | − | 0.859203i | \(-0.329040\pi\) | |||||||
\(90\) | 11.1310 | + | 4.54369i | 1.17331 | + | 0.478947i | ||||
\(91\) | 3.25839 | + | 3.25839i | 0.341572 | + | 0.341572i | ||||
\(92\) | −1.95807 | − | 7.74898i | −0.204143 | − | 0.807887i | ||||
\(93\) | −1.19055 | + | 1.57146i | −0.123455 | + | 0.162952i | ||||
\(94\) | 1.60159 | + | 12.8757i | 0.165191 | + | 1.32802i | ||||
\(95\) | 8.66225 | − | 15.0035i | 0.888728 | − | 1.53932i | ||||
\(96\) | 5.14787 | − | 8.33663i | 0.525402 | − | 0.850854i | ||||
\(97\) | −0.648931 | − | 1.12398i | −0.0658889 | − | 0.114123i | 0.831199 | − | 0.555975i | \(-0.187655\pi\) |
−0.897088 | + | 0.441852i | \(0.854322\pi\) | |||||||
\(98\) | −5.92518 | + | 4.47964i | −0.598534 | + | 0.452512i | ||||
\(99\) | −1.95085 | + | 3.47695i | −0.196068 | + | 0.349446i | ||||
\(100\) | 5.83091 | + | 1.65206i | 0.583091 | + | 0.165206i | ||||
\(101\) | 2.60956 | − | 9.73900i | 0.259661 | − | 0.969067i | −0.705777 | − | 0.708434i | \(-0.749402\pi\) |
0.965438 | − | 0.260633i | \(-0.0839313\pi\) | |||||||
\(102\) | 16.1291 | + | 9.33369i | 1.59702 | + | 0.924173i | ||||
\(103\) | 8.04850 | + | 4.64680i | 0.793042 | + | 0.457863i | 0.841033 | − | 0.540985i | \(-0.181948\pi\) |
−0.0479901 | + | 0.998848i | \(0.515282\pi\) | |||||||
\(104\) | 7.94866 | − | 5.83280i | 0.779430 | − | 0.571953i | ||||
\(105\) | 5.12335 | − | 3.98154i | 0.499988 | − | 0.388558i | ||||
\(106\) | 5.80815 | + | 14.3105i | 0.564138 | + | 1.38996i | ||||
\(107\) | 1.89502 | + | 1.89502i | 0.183199 | + | 0.183199i | 0.792748 | − | 0.609549i | \(-0.208650\pi\) |
−0.609549 | + | 0.792748i | \(0.708650\pi\) | |||||||
\(108\) | −4.01667 | − | 9.58469i | −0.386504 | − | 0.922288i | ||||
\(109\) | −8.63272 | + | 8.63272i | −0.826864 | + | 0.826864i | −0.987082 | − | 0.160217i | \(-0.948780\pi\) |
0.160217 | + | 0.987082i | \(0.448780\pi\) | |||||||
\(110\) | −2.07322 | + | 4.90573i | −0.197674 | + | 0.467743i | ||||
\(111\) | −3.39715 | − | 4.37137i | −0.322443 | − | 0.414912i | ||||
\(112\) | −2.51198 | − | 4.65316i | −0.237360 | − | 0.439682i | ||||
\(113\) | −1.70180 | + | 2.94761i | −0.160092 | + | 0.277288i | −0.934902 | − | 0.354907i | \(-0.884512\pi\) |
0.774809 | + | 0.632195i | \(0.217846\pi\) | |||||||
\(114\) | −14.4688 | + | 3.86136i | −1.35513 | + | 0.361650i | ||||
\(115\) | −10.9386 | − | 2.93099i | −1.02003 | − | 0.273317i | ||||
\(116\) | −3.58042 | − | 6.41138i | −0.332433 | − | 0.595281i | ||||
\(117\) | −0.128497 | − | 10.4564i | −0.0118796 | − | 0.966695i | ||||
\(118\) | −6.97507 | − | 0.969047i | −0.642108 | − | 0.0892080i | ||||
\(119\) | 8.70982 | − | 5.02862i | 0.798428 | − | 0.460972i | ||||
\(120\) | −6.75657 | − | 12.1274i | −0.616788 | − | 1.10708i | ||||
\(121\) | 7.99679 | + | 4.61695i | 0.726981 | + | 0.419722i | ||||
\(122\) | 11.4704 | + | 8.93251i | 1.03848 | + | 0.808711i | ||||
\(123\) | 2.26866 | + | 1.71877i | 0.204559 | + | 0.154976i | ||||
\(124\) | 2.20714 | − | 0.557716i | 0.198207 | − | 0.0500844i | ||||
\(125\) | −3.94700 | + | 3.94700i | −0.353031 | + | 0.353031i | ||||
\(126\) | −5.56438 | − | 0.703478i | −0.495714 | − | 0.0626708i | ||||
\(127\) | −5.24504 | −0.465422 | −0.232711 | − | 0.972546i | \(-0.574760\pi\) | ||||
−0.232711 | + | 0.972546i | \(0.574760\pi\) | |||||||
\(128\) | −10.6559 | + | 3.80147i | −0.941860 | + | 0.336006i | ||||
\(129\) | −4.17390 | + | 10.2544i | −0.367491 | + | 0.902852i | ||||
\(130\) | −1.72433 | − | 13.8624i | −0.151233 | − | 1.21581i | ||||
\(131\) | 1.68026 | + | 6.27080i | 0.146805 | + | 0.547883i | 0.999668 | + | 0.0257490i | \(0.00819707\pi\) |
−0.852864 | + | 0.522134i | \(0.825136\pi\) | |||||||
\(132\) | 4.26740 | − | 1.72701i | 0.371430 | − | 0.150317i | ||||
\(133\) | −2.09178 | + | 7.80665i | −0.181381 | + | 0.676922i | ||||
\(134\) | 2.80603 | − | 20.1975i | 0.242404 | − | 1.74479i | ||||
\(135\) | −14.6316 | − | 1.65256i | −1.25929 | − | 0.142229i | ||||
\(136\) | −7.80646 | − | 20.0519i | −0.669398 | − | 1.71944i | ||||
\(137\) | −6.16622 | + | 3.56007i | −0.526816 | + | 0.304157i | −0.739719 | − | 0.672916i | \(-0.765042\pi\) |
0.212903 | + | 0.977073i | \(0.431708\pi\) | |||||||
\(138\) | 4.88591 | + | 8.48228i | 0.415916 | + | 0.722059i | ||||
\(139\) | 4.07133 | − | 1.09091i | 0.345326 | − | 0.0925298i | −0.0819876 | − | 0.996633i | \(-0.526127\pi\) |
0.427313 | + | 0.904104i | \(0.359460\pi\) | |||||||
\(140\) | −7.49157 | − | 0.107086i | −0.633154 | − | 0.00905045i | ||||
\(141\) | −6.17128 | − | 14.6437i | −0.519716 | − | 1.23322i | ||||
\(142\) | −4.33533 | + | 10.2584i | −0.363813 | + | 0.860869i | ||||
\(143\) | 4.63236 | 0.387378 | ||||||||
\(144\) | −3.29432 | + | 11.5390i | −0.274527 | + | 0.961579i | ||||
\(145\) | −10.4047 | −0.864063 | ||||||||
\(146\) | −0.317772 | + | 0.751925i | −0.0262990 | + | 0.0622298i | ||||
\(147\) | 5.49369 | − | 7.25133i | 0.453112 | − | 0.598080i | ||||
\(148\) | −0.0913688 | + | 6.39200i | −0.00751047 | + | 0.525419i | ||||
\(149\) | −8.40971 | + | 2.25338i | −0.688950 | + | 0.184604i | −0.586276 | − | 0.810111i | \(-0.699407\pi\) |
−0.102674 | + | 0.994715i | \(0.532740\pi\) | |||||||
\(150\) | −7.42248 | − | 0.00744129i | −0.606043 | − | 0.000607579i | ||||
\(151\) | 17.8103 | − | 10.2828i | 1.44938 | − | 0.836803i | 0.450940 | − | 0.892554i | \(-0.351089\pi\) |
0.998445 | + | 0.0557515i | \(0.0177554\pi\) | |||||||
\(152\) | 15.8301 | + | 6.95828i | 1.28399 | + | 0.564391i | ||||
\(153\) | −22.1164 | − | 5.63573i | −1.78801 | − | 0.455622i | ||||
\(154\) | 0.341894 | − | 2.46091i | 0.0275506 | − | 0.198306i | ||||
\(155\) | 0.834834 | − | 3.11564i | 0.0670555 | − | 0.250255i | ||||
\(156\) | −7.42858 | + | 9.51947i | −0.594762 | + | 0.762168i | ||||
\(157\) | −2.38710 | − | 8.90879i | −0.190512 | − | 0.710999i | −0.993383 | − | 0.114847i | \(-0.963362\pi\) |
0.802872 | − | 0.596152i | \(-0.203304\pi\) | |||||||
\(158\) | 0.250290 | + | 2.01216i | 0.0199120 | + | 0.160079i | ||||
\(159\) | −11.6069 | − | 14.9355i | −0.920487 | − | 1.18446i | ||||
\(160\) | −2.65881 | + | 15.8081i | −0.210198 | + | 1.24974i | ||||
\(161\) | 5.28298 | 0.416357 | ||||||||
\(162\) | 7.92308 | + | 9.96116i | 0.622496 | + | 0.782623i | ||||
\(163\) | −10.4053 | + | 10.4053i | −0.815004 | + | 0.815004i | −0.985379 | − | 0.170375i | \(-0.945502\pi\) |
0.170375 | + | 0.985379i | \(0.445502\pi\) | |||||||
\(164\) | −0.805158 | − | 3.18638i | −0.0628723 | − | 0.248815i | ||||
\(165\) | 0.811644 | − | 6.47209i | 0.0631864 | − | 0.503851i | ||||
\(166\) | 3.81678 | + | 2.97229i | 0.296239 | + | 0.230695i | ||||
\(167\) | −5.95392 | − | 3.43750i | −0.460728 | − | 0.266001i | 0.251622 | − | 0.967826i | \(-0.419036\pi\) |
−0.712350 | + | 0.701824i | \(0.752369\pi\) | |||||||
\(168\) | 4.50888 | + | 4.64897i | 0.347868 | + | 0.358676i | ||||
\(169\) | 0.735830 | − | 0.424832i | 0.0566023 | − | 0.0326794i | ||||
\(170\) | −30.1983 | − | 4.19544i | −2.31610 | − | 0.321776i | ||||
\(171\) | 15.7697 | − | 9.36488i | 1.20594 | − | 0.716150i | ||||
\(172\) | 11.1616 | − | 6.23315i | 0.851062 | − | 0.475273i | ||||
\(173\) | −3.07494 | − | 0.823927i | −0.233783 | − | 0.0626420i | 0.140025 | − | 0.990148i | \(-0.455282\pi\) |
−0.373808 | + | 0.927506i | \(0.621948\pi\) | |||||||
\(174\) | 6.35317 | + | 6.36592i | 0.481633 | + | 0.482599i | ||||
\(175\) | −2.00294 | + | 3.46919i | −0.151408 | + | 0.262246i | ||||
\(176\) | −5.09324 | − | 1.52203i | −0.383918 | − | 0.114727i | ||||
\(177\) | 8.54387 | − | 1.17827i | 0.642197 | − | 0.0885642i | ||||
\(178\) | 8.92470 | − | 21.1180i | 0.668934 | − | 1.58286i | ||||
\(179\) | −3.73648 | + | 3.73648i | −0.279278 | + | 0.279278i | −0.832821 | − | 0.553543i | \(-0.813275\pi\) |
0.553543 | + | 0.832821i | \(0.313275\pi\) | |||||||
\(180\) | 11.9985 | + | 12.0467i | 0.894316 | + | 0.897910i | ||||
\(181\) | 0.169132 | + | 0.169132i | 0.0125715 | + | 0.0125715i | 0.713365 | − | 0.700793i | \(-0.247170\pi\) |
−0.700793 | + | 0.713365i | \(0.747170\pi\) | |||||||
\(182\) | 2.45077 | + | 6.03839i | 0.181663 | + | 0.447595i | ||||
\(183\) | −16.4918 | − | 6.71271i | −1.21911 | − | 0.496218i | ||||
\(184\) | 1.71527 | − | 11.1723i | 0.126451 | − | 0.823630i | ||||
\(185\) | 7.84414 | + | 4.52882i | 0.576713 | + | 0.332965i | ||||
\(186\) | −2.41600 | + | 1.39165i | −0.177150 | + | 0.102041i | ||||
\(187\) | 2.61673 | − | 9.76578i | 0.191354 | − | 0.714145i | ||||
\(188\) | −5.00198 | + | 17.6543i | −0.364807 | + | 1.28757i | ||||
\(189\) | 6.79274 | − | 1.02198i | 0.494099 | − | 0.0743383i | ||||
\(190\) | 19.5437 | − | 14.7757i | 1.41785 | − | 1.07194i | ||||
\(191\) | 11.0451 | + | 19.1306i | 0.799194 | + | 1.38424i | 0.920142 | + | 0.391586i | \(0.128073\pi\) |
−0.120947 | + | 0.992659i | \(0.538593\pi\) | |||||||
\(192\) | 11.2954 | − | 8.02581i | 0.815176 | − | 0.579213i | ||||
\(193\) | 7.90683 | − | 13.6950i | 0.569146 | − | 0.985790i | −0.427505 | − | 0.904013i | \(-0.640607\pi\) |
0.996651 | − | 0.0817767i | \(-0.0260594\pi\) | |||||||
\(194\) | −0.226564 | − | 1.82142i | −0.0162663 | − | 0.130770i | ||||
\(195\) | 6.64423 | + | 15.7659i | 0.475803 | + | 1.12902i | ||||
\(196\) | −10.1846 | + | 2.57353i | −0.727474 | + | 0.183823i | ||||
\(197\) | 1.19611 | + | 1.19611i | 0.0852196 | + | 0.0852196i | 0.748432 | − | 0.663212i | \(-0.230807\pi\) |
−0.663212 | + | 0.748432i | \(0.730807\pi\) | |||||||
\(198\) | −4.45542 | + | 3.45531i | −0.316633 | + | 0.245558i | ||||
\(199\) | 6.39170i | 0.453095i | 0.974000 | + | 0.226548i | \(0.0727439\pi\) | ||||
−0.974000 | + | 0.226548i | \(0.927256\pi\) | |||||||
\(200\) | 6.68621 | + | 5.36211i | 0.472786 | + | 0.379158i | ||||
\(201\) | 3.41187 | + | 24.7402i | 0.240655 | + | 1.74504i | ||||
\(202\) | 8.76088 | − | 11.2500i | 0.616414 | − | 0.791548i | ||||
\(203\) | 4.68849 | − | 1.25628i | 0.329068 | − | 0.0881734i | ||||
\(204\) | 15.8723 | + | 21.0380i | 1.11129 | + | 1.47296i | ||||
\(205\) | −4.49796 | − | 1.20523i | −0.314151 | − | 0.0841766i | ||||
\(206\) | 7.92632 | + | 10.4841i | 0.552253 | + | 0.730460i | ||||
\(207\) | −8.58090 | − | 8.37256i | −0.596414 | − | 0.581933i | ||||
\(208\) | 13.5655 | − | 3.22228i | 0.940597 | − | 0.223425i | ||||
\(209\) | 4.06233 | + | 7.03617i | 0.280997 | + | 0.486702i | ||||
\(210\) | 8.86591 | − | 2.36609i | 0.611806 | − | 0.163276i | ||||
\(211\) | 0.539586 | + | 2.01376i | 0.0371466 | + | 0.138633i | 0.982009 | − | 0.188835i | \(-0.0604712\pi\) |
−0.944862 | + | 0.327468i | \(0.893805\pi\) | |||||||
\(212\) | −0.312176 | + | 21.8393i | −0.0214404 | + | 1.49993i | ||||
\(213\) | 1.69724 | − | 13.5339i | 0.116293 | − | 0.927324i | ||||
\(214\) | 1.42533 | + | 3.51182i | 0.0974333 | + | 0.240063i | ||||
\(215\) | − | 18.1135i | − | 1.23533i | ||||||
\(216\) | 0.0442025 | − | 14.6969i | 0.00300760 | − | 0.999995i | ||||
\(217\) | 1.50475i | 0.102149i | ||||||||
\(218\) | −15.9980 | + | 6.49303i | −1.08352 | + | 0.439764i | ||||
\(219\) | 0.124405 | − | 0.992008i | 0.00840649 | − | 0.0670337i | ||||
\(220\) | −5.40140 | + | 5.24916i | −0.364163 | + | 0.353898i | ||||
\(221\) | 6.86349 | + | 25.6149i | 0.461688 | + | 1.72304i | ||||
\(222\) | −2.01881 | − | 7.56462i | −0.135493 | − | 0.507704i | ||||
\(223\) | 13.6496 | + | 23.6417i | 0.914042 | + | 1.58317i | 0.808297 | + | 0.588775i | \(0.200389\pi\) |
0.105745 | + | 0.994393i | \(0.466277\pi\) | |||||||
\(224\) | −0.710603 | − | 7.44439i | −0.0474792 | − | 0.497399i | ||||
\(225\) | 8.75131 | − | 2.46055i | 0.583421 | − | 0.164037i | ||||
\(226\) | −3.83959 | + | 2.90286i | −0.255406 | + | 0.193095i | ||||
\(227\) | 2.80787 | + | 0.752368i | 0.186365 | + | 0.0499364i | 0.350794 | − | 0.936452i | \(-0.385912\pi\) |
−0.164429 | + | 0.986389i | \(0.552578\pi\) | |||||||
\(228\) | −20.9737 | − | 2.93531i | −1.38902 | − | 0.194396i | ||||
\(229\) | −6.48583 | + | 1.73787i | −0.428596 | + | 0.114842i | −0.466667 | − | 0.884433i | \(-0.654545\pi\) |
0.0380710 | + | 0.999275i | \(0.487879\pi\) | |||||||
\(230\) | −12.6357 | − | 9.84002i | −0.833177 | − | 0.648832i | ||||
\(231\) | 0.415712 | + | 3.01441i | 0.0273518 | + | 0.198333i | ||||
\(232\) | −1.13448 | − | 10.3229i | −0.0744824 | − | 0.677735i | ||||
\(233\) | − | 11.8159i | − | 0.774086i | −0.922062 | − | 0.387043i | \(-0.873497\pi\) | ||
0.922062 | − | 0.387043i | \(-0.126503\pi\) | |||||||
\(234\) | 5.58907 | − | 13.6919i | 0.365369 | − | 0.895068i | ||||
\(235\) | 18.3839 | + | 18.3839i | 1.19923 | + | 1.19923i | ||||
\(236\) | −8.55268 | − | 5.10226i | −0.556732 | − | 0.332129i | ||||
\(237\) | −0.964426 | − | 2.28846i | −0.0626462 | − | 0.148651i | ||||
\(238\) | 14.1143 | − | 1.75566i | 0.914894 | − | 0.113803i | ||||
\(239\) | −1.75364 | + | 3.03739i | −0.113433 | + | 0.196472i | −0.917152 | − | 0.398537i | \(-0.869518\pi\) |
0.803719 | + | 0.595009i | \(0.202852\pi\) | |||||||
\(240\) | −2.12516 | − | 19.5175i | −0.137178 | − | 1.25985i | ||||
\(241\) | −4.35635 | − | 7.54543i | −0.280617 | − | 0.486044i | 0.690920 | − | 0.722932i | \(-0.257206\pi\) |
−0.971537 | + | 0.236888i | \(0.923873\pi\) | |||||||
\(242\) | 7.87539 | + | 10.4167i | 0.506249 | + | 0.669611i | ||||
\(243\) | −12.6528 | − | 9.10531i | −0.811678 | − | 0.584106i | ||||
\(244\) | 10.0245 | + | 17.9507i | 0.641755 | + | 1.14918i | ||||
\(245\) | −3.85226 | + | 14.3768i | −0.246112 | + | 0.918502i | ||||
\(246\) | 2.00909 | + | 3.48791i | 0.128095 | + | 0.222381i | ||||
\(247\) | −18.4553 | − | 10.6552i | −1.17428 | − | 0.677973i | ||||
\(248\) | 3.18219 | + | 0.488559i | 0.202069 | + | 0.0310235i | ||||
\(249\) | −5.48765 | − | 2.23366i | −0.347766 | − | 0.141552i | ||||
\(250\) | −7.31451 | + | 2.96871i | −0.462610 | + | 0.187758i | ||||
\(251\) | −9.70213 | − | 9.70213i | −0.612393 | − | 0.612393i | 0.331176 | − | 0.943569i | \(-0.392555\pi\) |
−0.943569 | + | 0.331176i | \(0.892555\pi\) | |||||||
\(252\) | −6.86123 | − | 3.97970i | −0.432217 | − | 0.250697i | ||||
\(253\) | 3.75533 | − | 3.75533i | 0.236096 | − | 0.236096i | ||||
\(254\) | −6.83251 | − | 2.88750i | −0.428710 | − | 0.181178i | ||||
\(255\) | 36.9903 | − | 5.10127i | 2.31642 | − | 0.319454i | ||||
\(256\) | −15.9739 | − | 0.914271i | −0.998366 | − | 0.0571420i | ||||
\(257\) | −9.26857 | + | 16.0536i | −0.578158 | + | 1.00140i | 0.417533 | + | 0.908662i | \(0.362895\pi\) |
−0.995691 | + | 0.0927366i | \(0.970439\pi\) | |||||||
\(258\) | −11.0824 | + | 11.0602i | −0.689962 | + | 0.688580i | ||||
\(259\) | −4.08149 | − | 1.09363i | −0.253611 | − | 0.0679550i | ||||
\(260\) | 5.38531 | − | 19.0073i | 0.333983 | − | 1.17878i | ||||
\(261\) | −9.60628 | − | 5.38990i | −0.594614 | − | 0.333626i | ||||
\(262\) | −1.26339 | + | 9.09375i | −0.0780528 | + | 0.561814i | ||||
\(263\) | 3.42692 | − | 1.97853i | 0.211313 | − | 0.122002i | −0.390608 | − | 0.920557i | \(-0.627735\pi\) |
0.601922 | + | 0.798555i | \(0.294402\pi\) | |||||||
\(264\) | 6.50974 | + | 0.0995794i | 0.400647 | + | 0.00612869i | ||||
\(265\) | 26.8008 | + | 15.4734i | 1.64636 | + | 0.950525i | ||||
\(266\) | −7.02260 | + | 9.01785i | −0.430583 | + | 0.552920i | ||||
\(267\) | −3.49393 | + | 27.8608i | −0.213825 | + | 1.70505i | ||||
\(268\) | 14.7744 | − | 24.7657i | 0.902491 | − | 1.51280i | ||||
\(269\) | 17.6742 | − | 17.6742i | 1.07762 | − | 1.07762i | 0.0808951 | − | 0.996723i | \(-0.474222\pi\) |
0.996723 | − | 0.0808951i | \(-0.0257779\pi\) | |||||||
\(270\) | −18.1503 | − | 10.2077i | −1.10459 | − | 0.621222i | ||||
\(271\) | −26.9563 | −1.63748 | −0.818738 | − | 0.574167i | \(-0.805326\pi\) | ||||
−0.818738 | + | 0.574167i | \(0.805326\pi\) | |||||||
\(272\) | 0.869796 | − | 30.4185i | 0.0527391 | − | 1.84439i | ||||
\(273\) | −4.89758 | − | 6.30209i | −0.296415 | − | 0.381420i | ||||
\(274\) | −9.99239 | + | 1.24294i | −0.603662 | + | 0.0750888i | ||||
\(275\) | 1.04226 | + | 3.88979i | 0.0628509 | + | 0.234563i | ||||
\(276\) | 1.69503 | + | 13.7393i | 0.102029 | + | 0.827010i | ||||
\(277\) | 2.47723 | − | 9.24514i | 0.148842 | − | 0.555487i | −0.850712 | − | 0.525632i | \(-0.823829\pi\) |
0.999554 | − | 0.0298548i | \(-0.00950449\pi\) | |||||||
\(278\) | 5.90414 | + | 0.820261i | 0.354107 | + | 0.0491960i | ||||
\(279\) | 2.38476 | − | 2.44410i | 0.142772 | − | 0.146324i | ||||
\(280\) | −9.70003 | − | 4.26376i | −0.579688 | − | 0.254808i | ||||
\(281\) | 8.51476 | − | 4.91600i | 0.507948 | − | 0.293264i | −0.224042 | − | 0.974580i | \(-0.571925\pi\) |
0.731990 | + | 0.681316i | \(0.238592\pi\) | |||||||
\(282\) | 0.0225301 | − | 22.4731i | 0.00134165 | − | 1.33826i | ||||
\(283\) | −30.0988 | + | 8.06496i | −1.78919 | + | 0.479412i | −0.992208 | − | 0.124591i | \(-0.960238\pi\) |
−0.796982 | + | 0.604003i | \(0.793572\pi\) | |||||||
\(284\) | −11.2949 | + | 10.9766i | −0.670231 | + | 0.651341i | ||||
\(285\) | −18.1204 | + | 23.9179i | −1.07336 | + | 1.41677i | ||||
\(286\) | 6.03440 | + | 2.55021i | 0.356822 | + | 0.150797i | ||||
\(287\) | 2.17236 | 0.128231 | ||||||||
\(288\) | −10.6438 | + | 13.2178i | −0.627193 | + | 0.778864i | ||||
\(289\) | 40.8774 | 2.40456 | ||||||||
\(290\) | −13.5538 | − | 5.72799i | −0.795906 | − | 0.336359i | ||||
\(291\) | 0.873002 | + | 2.07152i | 0.0511763 | + | 0.121435i | ||||
\(292\) | −0.827900 | + | 0.804565i | −0.0484492 | + | 0.0470836i | ||||
\(293\) | 30.6204 | − | 8.20472i | 1.78886 | − | 0.479325i | 0.796711 | − | 0.604360i | \(-0.206571\pi\) |
0.992152 | + | 0.125035i | \(0.0399044\pi\) | |||||||
\(294\) | 11.1484 | − | 6.42165i | 0.650189 | − | 0.374518i | ||||
\(295\) | −12.2202 | + | 7.05535i | −0.711489 | + | 0.410778i | ||||
\(296\) | −3.63794 | + | 8.27631i | −0.211451 | + | 0.481051i | ||||
\(297\) | 4.10207 | − | 5.55499i | 0.238026 | − | 0.322333i | ||||
\(298\) | −12.1955 | − | 1.69433i | −0.706468 | − | 0.0981496i | ||||
\(299\) | −3.60533 | + | 13.4553i | −0.208502 | + | 0.778139i | ||||
\(300\) | −9.66488 | − | 4.09591i | −0.558002 | − | 0.236478i | ||||
\(301\) | 2.18706 | + | 8.16220i | 0.126060 | + | 0.470462i | ||||
\(302\) | 28.8617 | − | 3.59007i | 1.66081 | − | 0.206586i | ||||
\(303\) | −6.58374 | + | 16.1749i | −0.378226 | + | 0.929225i | ||||
\(304\) | 16.7906 | + | 17.7791i | 0.963005 | + | 1.01970i | ||||
\(305\) | 29.1313 | 1.66805 | ||||||||
\(306\) | −25.7076 | − | 19.5170i | −1.46961 | − | 1.11571i | ||||
\(307\) | 17.2513 | − | 17.2513i | 0.984581 | − | 0.984581i | −0.0153018 | − | 0.999883i | \(-0.504871\pi\) |
0.999883 | + | 0.0153018i | \(0.00487090\pi\) | |||||||
\(308\) | 1.80015 | − | 3.01752i | 0.102573 | − | 0.171939i | ||||
\(309\) | −12.8306 | − | 9.72059i | −0.729906 | − | 0.552985i | ||||
\(310\) | 2.80273 | − | 3.59904i | 0.159184 | − | 0.204412i | ||||
\(311\) | −8.53625 | − | 4.92841i | −0.484046 | − | 0.279464i | 0.238055 | − | 0.971252i | \(-0.423490\pi\) |
−0.722101 | + | 0.691787i | \(0.756824\pi\) | |||||||
\(312\) | −14.9176 | + | 8.31107i | −0.844542 | + | 0.470522i | ||||
\(313\) | −8.45774 | + | 4.88308i | −0.478060 | + | 0.276008i | −0.719608 | − | 0.694381i | \(-0.755678\pi\) |
0.241548 | + | 0.970389i | \(0.422345\pi\) | |||||||
\(314\) | 1.79488 | − | 12.9193i | 0.101291 | − | 0.729078i | ||||
\(315\) | −9.66305 | + | 5.73843i | −0.544451 | + | 0.323324i | ||||
\(316\) | −0.781692 | + | 2.75896i | −0.0439736 | + | 0.155204i | ||||
\(317\) | −12.8098 | − | 3.43237i | −0.719469 | − | 0.192781i | −0.119534 | − | 0.992830i | \(-0.538140\pi\) |
−0.599935 | + | 0.800049i | \(0.704807\pi\) | |||||||
\(318\) | −6.89758 | − | 25.8457i | −0.386797 | − | 1.44936i | ||||
\(319\) | 2.43974 | − | 4.22576i | 0.136599 | − | 0.236597i | ||||
\(320\) | −12.1662 | + | 19.1289i | −0.680113 | + | 1.06934i | ||||
\(321\) | −2.84834 | − | 3.66519i | −0.158979 | − | 0.204571i | ||||
\(322\) | 6.88194 | + | 2.90838i | 0.383515 | + | 0.162078i | ||||
\(323\) | −32.8879 | + | 32.8879i | −1.82993 | + | 1.82993i | ||||
\(324\) | 4.83728 | + | 17.3378i | 0.268738 | + | 0.963213i | ||||
\(325\) | −7.46883 | − | 7.46883i | −0.414296 | − | 0.414296i | ||||
\(326\) | −19.2829 | + | 7.82624i | −1.06798 | + | 0.433456i | ||||
\(327\) | 16.6966 | − | 12.9756i | 0.923327 | − | 0.717550i | ||||
\(328\) | 0.705318 | − | 4.59404i | 0.0389447 | − | 0.253663i | ||||
\(329\) | −10.5037 | − | 6.06432i | −0.579089 | − | 0.334337i | ||||
\(330\) | 4.62031 | − | 7.98411i | 0.254340 | − | 0.439511i | ||||
\(331\) | 0.274151 | − | 1.02314i | 0.0150687 | − | 0.0562371i | −0.957982 | − | 0.286828i | \(-0.907399\pi\) |
0.973051 | + | 0.230591i | \(0.0740659\pi\) | |||||||
\(332\) | 3.33566 | + | 5.97311i | 0.183068 | + | 0.327817i | ||||
\(333\) | 4.89617 | + | 8.24476i | 0.268308 | + | 0.451810i | ||||
\(334\) | −5.86353 | − | 7.75565i | −0.320838 | − | 0.424370i | ||||
\(335\) | −20.4299 | − | 35.3857i | −1.11621 | − | 1.93332i | ||||
\(336\) | 3.31420 | + | 8.53826i | 0.180804 | + | 0.465801i | ||||
\(337\) | −2.50387 | + | 4.33683i | −0.136395 | + | 0.236242i | −0.926129 | − | 0.377206i | \(-0.876885\pi\) |
0.789735 | + | 0.613448i | \(0.210218\pi\) | |||||||
\(338\) | 1.19242 | − | 0.148323i | 0.0648589 | − | 0.00806771i | ||||
\(339\) | 3.55998 | − | 4.69895i | 0.193351 | − | 0.255212i | ||||
\(340\) | −37.0284 | − | 22.0900i | −2.00815 | − | 1.19800i | ||||
\(341\) | 1.06963 | + | 1.06963i | 0.0579238 | + | 0.0579238i | ||||
\(342\) | 25.6982 | − | 3.51774i | 1.38960 | − | 0.190217i | ||||
\(343\) | − | 16.1974i | − | 0.874575i | ||||||
\(344\) | 17.9712 | − | 1.97502i | 0.968944 | − | 0.106486i | ||||
\(345\) | 18.1673 | + | 7.39470i | 0.978094 | + | 0.398117i | ||||
\(346\) | −3.55201 | − | 2.76611i | −0.190958 | − | 0.148707i | ||||
\(347\) | 5.88711 | − | 1.57745i | 0.316036 | − | 0.0846817i | −0.0973140 | − | 0.995254i | \(-0.531025\pi\) |
0.413350 | + | 0.910572i | \(0.364358\pi\) | |||||||
\(348\) | 4.77147 | + | 11.7902i | 0.255777 | + | 0.632020i | ||||
\(349\) | −5.42227 | − | 1.45289i | −0.290247 | − | 0.0777715i | 0.110758 | − | 0.993847i | \(-0.464672\pi\) |
−0.401005 | + | 0.916076i | \(0.631339\pi\) | |||||||
\(350\) | −4.51901 | + | 3.41652i | −0.241551 | + | 0.182621i | ||||
\(351\) | −2.03276 | + | 17.9980i | −0.108501 | + | 0.960661i | ||||
\(352\) | −5.79687 | − | 4.78662i | −0.308974 | − | 0.255128i | ||||
\(353\) | −5.06146 | − | 8.76671i | −0.269395 | − | 0.466605i | 0.699311 | − | 0.714817i | \(-0.253490\pi\) |
−0.968706 | + | 0.248212i | \(0.920157\pi\) | |||||||
\(354\) | 11.7784 | + | 3.16868i | 0.626017 | + | 0.168414i | ||||
\(355\) | 5.77576 | + | 21.5554i | 0.306546 | + | 1.14404i | ||||
\(356\) | 23.2517 | − | 22.5964i | 1.23234 | − | 1.19761i | ||||
\(357\) | −16.0524 | + | 6.76496i | −0.849582 | + | 0.358040i | ||||
\(358\) | −6.92438 | + | 2.81037i | −0.365965 | + | 0.148532i | ||||
\(359\) | − | 5.28081i | − | 0.278710i | −0.990242 | − | 0.139355i | \(-0.955497\pi\) | ||
0.990242 | − | 0.139355i | \(-0.0445030\pi\) | |||||||
\(360\) | 8.99804 | + | 22.2982i | 0.474238 | + | 1.17522i | ||||
\(361\) | − | 18.3761i | − | 0.967163i | ||||||
\(362\) | 0.127212 | + | 0.313433i | 0.00668610 | + | 0.0164737i | ||||
\(363\) | −12.7481 | − | 9.65813i | −0.669104 | − | 0.506920i | ||||
\(364\) | −0.131724 | + | 9.21518i | −0.00690421 | + | 0.483006i | ||||
\(365\) | 0.423353 | + | 1.57998i | 0.0221593 | + | 0.0826997i | ||||
\(366\) | −17.7877 | − | 17.8234i | −0.929780 | − | 0.931647i | ||||
\(367\) | 5.01941 | + | 8.69388i | 0.262011 | + | 0.453817i | 0.966776 | − | 0.255624i | \(-0.0822810\pi\) |
−0.704765 | + | 0.709441i | \(0.748948\pi\) | |||||||
\(368\) | 8.38496 | − | 13.6094i | 0.437096 | − | 0.709438i | ||||
\(369\) | −3.52847 | − | 3.44280i | −0.183685 | − | 0.179225i | ||||
\(370\) | 7.72506 | + | 10.2179i | 0.401607 | + | 0.531202i | ||||
\(371\) | −13.9451 | − | 3.73657i | −0.723992 | − | 0.193993i | ||||
\(372\) | −3.91337 | + | 0.482795i | −0.202899 | + | 0.0250318i | ||||
\(373\) | 25.1865 | − | 6.74869i | 1.30411 | − | 0.349434i | 0.461105 | − | 0.887346i | \(-0.347453\pi\) |
0.843001 | + | 0.537912i | \(0.180787\pi\) | |||||||
\(374\) | 8.78497 | − | 11.2809i | 0.454260 | − | 0.583324i | ||||
\(375\) | 7.63395 | − | 5.93261i | 0.394215 | − | 0.306359i | ||||
\(376\) | −16.2349 | + | 20.2439i | −0.837253 | + | 1.04400i | ||||
\(377\) | 12.7985i | 0.659157i | ||||||||
\(378\) | 9.41127 | + | 2.40824i | 0.484063 | + | 0.123867i | ||||
\(379\) | −11.3259 | − | 11.3259i | −0.581771 | − | 0.581771i | 0.353619 | − | 0.935390i | \(-0.384951\pi\) |
−0.935390 | + | 0.353619i | \(0.884951\pi\) | |||||||
\(380\) | 33.5931 | − | 8.48855i | 1.72329 | − | 0.435453i | ||||
\(381\) | 9.01407 | + | 1.13043i | 0.461805 | + | 0.0579135i | ||||
\(382\) | 3.85621 | + | 31.0013i | 0.197301 | + | 1.58616i | ||||
\(383\) | 2.50076 | − | 4.33145i | 0.127783 | − | 0.221327i | −0.795034 | − | 0.606564i | \(-0.792547\pi\) |
0.922817 | + | 0.385238i | \(0.125881\pi\) | |||||||
\(384\) | 19.1325 | − | 4.23657i | 0.976350 | − | 0.216196i | ||||
\(385\) | −2.48924 | − | 4.31148i | −0.126863 | − | 0.219733i | ||||
\(386\) | 17.8393 | − | 13.4871i | 0.907997 | − | 0.686477i | ||||
\(387\) | 9.38328 | − | 16.7236i | 0.476979 | − | 0.850107i | ||||
\(388\) | 0.707590 | − | 2.49742i | 0.0359224 | − | 0.126787i | ||||
\(389\) | −3.45749 | + | 12.9035i | −0.175302 | + | 0.654235i | 0.821198 | + | 0.570643i | \(0.193306\pi\) |
−0.996500 | + | 0.0835921i | \(0.973361\pi\) | |||||||
\(390\) | −0.0242567 | + | 24.1954i | −0.00122829 | + | 1.22518i | ||||
\(391\) | 26.3294 | + | 15.2013i | 1.33153 | + | 0.768761i | ||||
\(392\) | −14.6839 | − | 2.25441i | −0.741650 | − | 0.113865i | ||||
\(393\) | −1.53617 | − | 11.1391i | −0.0774895 | − | 0.561892i | ||||
\(394\) | 0.899647 | + | 2.21662i | 0.0453236 | + | 0.111671i | ||||
\(395\) | 2.87297 | + | 2.87297i | 0.144555 | + | 0.144555i | ||||
\(396\) | −7.70612 | + | 2.04830i | −0.387247 | + | 0.102931i | ||||
\(397\) | −18.7165 | + | 18.7165i | −0.939356 | + | 0.939356i | −0.998263 | − | 0.0589078i | \(-0.981238\pi\) |
0.0589078 | + | 0.998263i | \(0.481238\pi\) | |||||||
\(398\) | −3.51876 | + | 8.32622i | −0.176379 | + | 0.417356i | ||||
\(399\) | 5.27743 | − | 12.9656i | 0.264202 | − | 0.649092i | ||||
\(400\) | 5.75792 | + | 10.6659i | 0.287896 | + | 0.533295i | ||||
\(401\) | 6.66124 | − | 11.5376i | 0.332647 | − | 0.576161i | −0.650383 | − | 0.759606i | \(-0.725392\pi\) |
0.983030 | + | 0.183445i | \(0.0587250\pi\) | |||||||
\(402\) | −9.17543 | + | 34.1064i | −0.457629 | + | 1.70107i | ||||
\(403\) | −3.83247 | − | 1.02691i | −0.190909 | − | 0.0511538i | ||||
\(404\) | 17.6058 | − | 9.83193i | 0.875923 | − | 0.489157i | ||||
\(405\) | 24.7896 | + | 5.99352i | 1.23181 | + | 0.297820i | ||||
\(406\) | 6.79913 | + | 0.944602i | 0.337435 | + | 0.0468798i | ||||
\(407\) | −3.67866 | + | 2.12388i | −0.182345 | + | 0.105277i | ||||
\(408\) | 9.09445 | + | 36.1435i | 0.450242 | + | 1.78937i | ||||
\(409\) | −10.6037 | − | 6.12206i | −0.524320 | − | 0.302717i | 0.214380 | − | 0.976750i | \(-0.431227\pi\) |
−0.738701 | + | 0.674034i | \(0.764560\pi\) | |||||||
\(410\) | −5.19582 | − | 4.04622i | −0.256604 | − | 0.199829i | ||||
\(411\) | 11.3645 | − | 4.78934i | 0.560568 | − | 0.236241i | ||||
\(412\) | 4.55362 | + | 18.0208i | 0.224341 | + | 0.887821i | ||||
\(413\) | 4.65472 | − | 4.65472i | 0.229044 | − | 0.229044i | ||||
\(414\) | −6.56875 | − | 15.6306i | −0.322837 | − | 0.768201i | ||||
\(415\) | 9.69344 | 0.475832 | ||||||||
\(416\) | 19.4452 | + | 3.27053i | 0.953378 | + | 0.160351i | ||||
\(417\) | −7.23206 | + | 0.997361i | −0.354156 | + | 0.0488410i | ||||
\(418\) | 1.41830 | + | 11.4021i | 0.0693712 | + | 0.557697i | ||||
\(419\) | −8.58573 | − | 32.0424i | −0.419440 | − | 1.56537i | −0.775772 | − | 0.631013i | \(-0.782639\pi\) |
0.356332 | − | 0.934360i | \(-0.384027\pi\) | |||||||
\(420\) | 12.8519 | + | 1.79864i | 0.627107 | + | 0.0877648i | ||||
\(421\) | 6.61930 | − | 24.7035i | 0.322605 | − | 1.20398i | −0.594093 | − | 0.804396i | \(-0.702489\pi\) |
0.916698 | − | 0.399581i | \(-0.130844\pi\) | |||||||
\(422\) | −0.405718 | + | 2.92030i | −0.0197500 | + | 0.142158i | ||||
\(423\) | 7.44985 | + | 26.4965i | 0.362224 | + | 1.28830i | ||||
\(424\) | −12.4296 | + | 28.2774i | −0.603636 | + | 1.37327i | ||||
\(425\) | −19.9645 | + | 11.5265i | −0.968421 | + | 0.559118i | ||||
\(426\) | 9.66158 | − | 16.6957i | 0.468105 | − | 0.808908i | ||||
\(427\) | −13.1269 | + | 3.51736i | −0.635258 | + | 0.170217i | ||||
\(428\) | −0.0766084 | + | 5.35938i | −0.00370300 | + | 0.259056i | ||||
\(429\) | −7.96113 | − | 0.998381i | −0.384367 | − | 0.0482023i | ||||
\(430\) | 9.97186 | − | 23.5958i | 0.480886 | − | 1.13789i | ||||
\(431\) | −10.3041 | −0.496332 | −0.248166 | − | 0.968717i | \(-0.579828\pi\) | ||||
−0.248166 | + | 0.968717i | \(0.579828\pi\) | |||||||
\(432\) | 8.14850 | − | 19.1207i | 0.392045 | − | 0.919946i | ||||
\(433\) | −11.7692 | −0.565591 | −0.282795 | − | 0.959180i | \(-0.591262\pi\) | ||||
−0.282795 | + | 0.959180i | \(0.591262\pi\) | |||||||
\(434\) | −0.828394 | + | 1.96018i | −0.0397642 | + | 0.0940916i | ||||
\(435\) | 17.8814 | + | 2.24245i | 0.857347 | + | 0.107517i | ||||
\(436\) | −24.4145 | − | 0.348987i | −1.16924 | − | 0.0167135i | ||||
\(437\) | −23.5991 | + | 6.32337i | −1.12890 | + | 0.302488i | ||||
\(438\) | 0.708177 | − | 1.22376i | 0.0338380 | − | 0.0584737i | ||||
\(439\) | −23.9893 | + | 13.8502i | −1.14494 | + | 0.661034i | −0.947650 | − | 0.319310i | \(-0.896549\pi\) |
−0.197294 | + | 0.980344i | \(0.563215\pi\) | |||||||
\(440\) | −9.92597 | + | 3.86430i | −0.473202 | + | 0.184223i | ||||
\(441\) | −11.0042 | + | 11.2780i | −0.524011 | + | 0.537050i | ||||
\(442\) | −5.16070 | + | 37.1460i | −0.245469 | + | 1.76686i | ||||
\(443\) | 6.50677 | − | 24.2836i | 0.309146 | − | 1.15375i | −0.620172 | − | 0.784466i | \(-0.712937\pi\) |
0.929317 | − | 0.369282i | \(-0.120396\pi\) | |||||||
\(444\) | 1.53465 | − | 10.9655i | 0.0728312 | − | 0.520401i | ||||
\(445\) | −11.8900 | − | 44.3739i | −0.563638 | − | 2.10353i | ||||
\(446\) | 4.76552 | + | 38.3115i | 0.225654 | + | 1.81410i | ||||
\(447\) | 14.9385 | − | 2.06014i | 0.706567 | − | 0.0974413i | ||||
\(448\) | 3.17261 | − | 10.0887i | 0.149892 | − | 0.476648i | ||||
\(449\) | −20.0988 | −0.948522 | −0.474261 | − | 0.880384i | \(-0.657285\pi\) | ||||
−0.474261 | + | 0.880384i | \(0.657285\pi\) | |||||||
\(450\) | 12.7546 | + | 1.61250i | 0.601257 | + | 0.0760141i | ||||
\(451\) | 1.54419 | − | 1.54419i | 0.0727133 | − | 0.0727133i | ||||
\(452\) | −6.59977 | + | 1.66768i | −0.310427 | + | 0.0784409i | ||||
\(453\) | −32.8248 | + | 13.8334i | −1.54225 | + | 0.649949i | ||||
\(454\) | 3.24352 | + | 2.52587i | 0.152226 | + | 0.118545i | ||||
\(455\) | 11.3087 | + | 6.52907i | 0.530159 | + | 0.306088i | ||||
\(456\) | −25.7057 | − | 15.3702i | −1.20378 | − | 0.719774i | ||||
\(457\) | −20.8270 | + | 12.0245i | −0.974244 | + | 0.562480i | −0.900527 | − | 0.434799i | \(-0.856819\pi\) |
−0.0737167 | + | 0.997279i | \(0.523486\pi\) | |||||||
\(458\) | −9.40558 | − | 1.30672i | −0.439494 | − | 0.0610589i | ||||
\(459\) | 36.7944 | + | 14.4521i | 1.71742 | + | 0.674566i | ||||
\(460\) | −11.0430 | − | 19.7744i | −0.514882 | − | 0.921988i | ||||
\(461\) | −3.90967 | − | 1.04759i | −0.182092 | − | 0.0487913i | 0.166621 | − | 0.986021i | \(-0.446714\pi\) |
−0.348713 | + | 0.937230i | \(0.613381\pi\) | |||||||
\(462\) | −1.11796 | + | 4.15561i | −0.0520122 | + | 0.193336i | ||||
\(463\) | 5.16489 | − | 8.94585i | 0.240033 | − | 0.415749i | −0.720691 | − | 0.693257i | \(-0.756175\pi\) |
0.960723 | + | 0.277508i | \(0.0895085\pi\) | |||||||
\(464\) | 4.20514 | − | 14.0719i | 0.195219 | − | 0.653270i | ||||
\(465\) | −2.10623 | + | 5.17459i | −0.0976741 | + | 0.239966i | ||||
\(466\) | 6.50489 | − | 15.3921i | 0.301333 | − | 0.713027i | ||||
\(467\) | 11.8966 | − | 11.8966i | 0.550509 | − | 0.550509i | −0.376079 | − | 0.926588i | \(-0.622728\pi\) |
0.926588 | + | 0.376079i | \(0.122728\pi\) | |||||||
\(468\) | 14.8183 | − | 14.7590i | 0.684978 | − | 0.682236i | ||||
\(469\) | 13.4785 | + | 13.4785i | 0.622380 | + | 0.622380i | ||||
\(470\) | 13.8273 | + | 34.0687i | 0.637805 | + | 1.57147i | ||||
\(471\) | 2.18240 | + | 15.8250i | 0.100560 | + | 0.729179i | ||||
\(472\) | −8.33236 | − | 11.3549i | −0.383528 | − | 0.522653i | ||||
\(473\) | 7.35663 | + | 4.24735i | 0.338258 | + | 0.195293i | ||||
\(474\) | 0.00352093 | − | 3.51203i | 0.000161722 | − | 0.161313i | ||||
\(475\) | 4.79476 | − | 17.8943i | 0.219999 | − | 0.821046i | ||||
\(476\) | 19.3527 | + | 5.48317i | 0.887029 | + | 0.251321i | ||||
\(477\) | 16.7286 | + | 28.1695i | 0.765948 | + | 1.28980i | ||||
\(478\) | −3.95654 | + | 2.99128i | −0.180968 | + | 0.136818i | ||||
\(479\) | −7.47878 | − | 12.9536i | −0.341714 | − | 0.591866i | 0.643037 | − | 0.765835i | \(-0.277674\pi\) |
−0.984751 | + | 0.173969i | \(0.944341\pi\) | |||||||
\(480\) | 7.97642 | − | 26.5947i | 0.364072 | − | 1.21388i | ||||
\(481\) | 5.57077 | − | 9.64886i | 0.254005 | − | 0.439950i | ||||
\(482\) | −1.52095 | − | 12.2274i | −0.0692774 | − | 0.556943i | ||||
\(483\) | −9.07927 | − | 1.13860i | −0.413121 | − | 0.0518082i | ||||
\(484\) | 4.52436 | + | 17.9050i | 0.205653 | + | 0.813864i | ||||
\(485\) | −2.60062 | − | 2.60062i | −0.118088 | − | 0.118088i | ||||
\(486\) | −11.4697 | − | 18.8268i | −0.520275 | − | 0.853999i | ||||
\(487\) | − | 27.0362i | − | 1.22513i | −0.790420 | − | 0.612565i | \(-0.790138\pi\) | ||
0.790420 | − | 0.612565i | \(-0.209862\pi\) | |||||||
\(488\) | 3.17635 | + | 28.9024i | 0.143787 | + | 1.30835i | ||||
\(489\) | 20.1250 | − | 15.6398i | 0.910082 | − | 0.707257i | ||||
\(490\) | −12.9329 | + | 16.6074i | −0.584250 | + | 0.750246i | ||||
\(491\) | 5.41853 | − | 1.45189i | 0.244535 | − | 0.0655229i | −0.134470 | − | 0.990918i | \(-0.542933\pi\) |
0.379005 | + | 0.925395i | \(0.376266\pi\) | |||||||
\(492\) | 0.696998 | + | 5.64962i | 0.0314231 | + | 0.254704i | ||||
\(493\) | 26.9814 | + | 7.22964i | 1.21518 | + | 0.325607i | ||||
\(494\) | −18.1752 | − | 24.0401i | −0.817739 | − | 1.08162i | ||||
\(495\) | −2.78977 | + | 10.9479i | −0.125391 | + | 0.492073i | ||||
\(496\) | 3.87636 | + | 2.38829i | 0.174054 | + | 0.107237i | ||||
\(497\) | −5.20527 | − | 9.01579i | −0.233488 | − | 0.404413i | ||||
\(498\) | −5.91888 | − | 5.93076i | −0.265231 | − | 0.265764i | ||||
\(499\) | 5.68146 | + | 21.2035i | 0.254337 | + | 0.949198i | 0.968458 | + | 0.249176i | \(0.0801598\pi\) |
−0.714121 | + | 0.700022i | \(0.753174\pi\) | |||||||
\(500\) | −11.1627 | − | 0.159562i | −0.499210 | − | 0.00713583i | ||||
\(501\) | 9.49148 | + | 7.19085i | 0.424048 | + | 0.321264i | ||||
\(502\) | −7.29738 | − | 17.9798i | −0.325698 | − | 0.802478i | ||||
\(503\) | 23.1955i | 1.03423i | 0.855915 | + | 0.517117i | \(0.172995\pi\) | ||||
−0.855915 | + | 0.517117i | \(0.827005\pi\) | |||||||
\(504\) | −6.74696 | − | 8.96144i | −0.300533 | − | 0.399174i | ||||
\(505\) | − | 28.5716i | − | 1.27142i | ||||||
\(506\) | 6.95932 | − | 2.82454i | 0.309379 | − | 0.125566i | ||||
\(507\) | −1.35615 | + | 0.571523i | −0.0602288 | + | 0.0253822i | ||||
\(508\) | −7.31083 | − | 7.52286i | −0.324366 | − | 0.333773i | ||||
\(509\) | −3.37049 | − | 12.5788i | −0.149394 | − | 0.557547i | −0.999520 | − | 0.0309681i | \(-0.990141\pi\) |
0.850126 | − | 0.526579i | \(-0.176526\pi\) | |||||||
\(510\) | 50.9942 | + | 13.7187i | 2.25806 | + | 0.607473i | ||||
\(511\) | −0.381537 | − | 0.660842i | −0.0168782 | − | 0.0292339i | ||||
\(512\) | −20.3052 | − | 9.98491i | −0.897372 | − | 0.441275i | ||||
\(513\) | −29.1200 | + | 12.6957i | −1.28568 | + | 0.560527i | ||||
\(514\) | −20.9117 | + | 15.8099i | −0.922374 | + | 0.697346i | ||||
\(515\) | 25.4385 | + | 6.81623i | 1.12095 | + | 0.300359i | ||||
\(516\) | −20.5256 | + | 8.30665i | −0.903587 | + | 0.365680i | ||||
\(517\) | −11.7772 | + | 3.15568i | −0.517959 | + | 0.138787i | ||||
\(518\) | −4.71473 | − | 3.67157i | −0.207154 | − | 0.161320i | ||||
\(519\) | 5.10698 | + | 2.07871i | 0.224171 | + | 0.0912453i | ||||
\(520\) | 17.4791 | − | 21.7954i | 0.766511 | − | 0.955790i | ||||
\(521\) | 21.4547i | 0.939949i | 0.882680 | + | 0.469974i | \(0.155737\pi\) | ||||
−0.882680 | + | 0.469974i | \(0.844263\pi\) | |||||||
\(522\) | −9.54649 | − | 12.3097i | −0.417838 | − | 0.538779i | ||||
\(523\) | 2.07495 | + | 2.07495i | 0.0907314 | + | 0.0907314i | 0.751016 | − | 0.660284i | \(-0.229564\pi\) |
−0.660284 | + | 0.751016i | \(0.729564\pi\) | |||||||
\(524\) | −6.65206 | + | 11.1506i | −0.290597 | + | 0.487114i | ||||
\(525\) | 4.18992 | − | 5.53043i | 0.182863 | − | 0.241368i | ||||
\(526\) | 5.55334 | − | 0.690773i | 0.242137 | − | 0.0301191i | ||||
\(527\) | −4.32977 | + | 7.49939i | −0.188608 | + | 0.326678i | ||||
\(528\) | 8.42516 | + | 3.71346i | 0.366658 | + | 0.161607i | ||||
\(529\) | −3.51490 | − | 6.08799i | −0.152822 | − | 0.264695i | ||||
\(530\) | 26.3939 | + | 34.9110i | 1.14648 | + | 1.51644i | ||||
\(531\) | −14.9374 | + | 0.183562i | −0.648226 | + | 0.00796593i | ||||
\(532\) | −14.1126 | + | 7.88113i | −0.611858 | + | 0.341690i | ||||
\(533\) | −1.48251 | + | 5.53282i | −0.0642148 | + | 0.239653i | ||||
\(534\) | −19.8893 | + | 34.3697i | −0.860694 | + | 1.48732i | ||||
\(535\) | 6.57693 | + | 3.79719i | 0.284346 | + | 0.164167i | ||||
\(536\) | 32.8801 | − | 24.1277i | 1.42020 | − | 1.04216i | ||||
\(537\) | 7.22677 | − | 5.61618i | 0.311858 | − | 0.242356i | ||||
\(538\) | 32.7536 | − | 13.2935i | 1.41211 | − | 0.573125i | ||||
\(539\) | −4.93571 | − | 4.93571i | −0.212596 | − | 0.212596i | ||||
\(540\) | −18.0242 | − | 23.2893i | −0.775637 | − | 1.00221i | ||||
\(541\) | 22.7947 | − | 22.7947i | 0.980022 | − | 0.980022i | −0.0197819 | − | 0.999804i | \(-0.506297\pi\) |
0.999804 | + | 0.0197819i | \(0.00629719\pi\) | |||||||
\(542\) | −35.1149 | − | 14.8399i | −1.50831 | − | 0.637430i | ||||
\(543\) | −0.254217 | − | 0.327121i | −0.0109095 | − | 0.0140381i | ||||
\(544\) | 17.8790 | − | 39.1461i | 0.766556 | − | 1.67838i | ||||
\(545\) | −17.2980 | + | 29.9610i | −0.740965 | + | 1.28339i | ||||
\(546\) | −2.91046 | − | 10.9057i | −0.124556 | − | 0.466721i | ||||
\(547\) | 13.3804 | + | 3.58528i | 0.572106 | + | 0.153295i | 0.533262 | − | 0.845950i | \(-0.320966\pi\) |
0.0388438 | + | 0.999245i | \(0.487633\pi\) | |||||||
\(548\) | −13.7010 | − | 3.88188i | −0.585276 | − | 0.165826i | ||||
\(549\) | 26.8959 | + | 15.0908i | 1.14789 | + | 0.644058i | ||||
\(550\) | −0.783685 | + | 5.64086i | −0.0334164 | + | 0.240527i | ||||
\(551\) | −19.4399 | + | 11.2236i | −0.828166 | + | 0.478142i | ||||
\(552\) | −5.35572 | + | 18.8308i | −0.227955 | + | 0.801494i | ||||
\(553\) | −1.64148 | − | 0.947711i | −0.0698030 | − | 0.0403008i | ||||
\(554\) | 8.31663 | − | 10.6795i | 0.353340 | − | 0.453730i | ||||
\(555\) | −12.5048 | − | 9.47377i | −0.530799 | − | 0.402139i | ||||
\(556\) | 7.23952 | + | 4.31887i | 0.307024 | + | 0.183161i | ||||
\(557\) | −8.62660 | + | 8.62660i | −0.365521 | + | 0.365521i | −0.865841 | − | 0.500320i | \(-0.833216\pi\) |
0.500320 | + | 0.865841i | \(0.333216\pi\) | |||||||
\(558\) | 4.45205 | − | 1.87098i | 0.188470 | − | 0.0792047i | ||||
\(559\) | −22.2810 | −0.942384 | ||||||||
\(560\) | −10.2886 | − | 10.8943i | −0.434772 | − | 0.460368i | ||||
\(561\) | −6.60184 | + | 16.2194i | −0.278730 | + | 0.684784i | ||||
\(562\) | 13.7982 | − | 1.71634i | 0.582042 | − | 0.0723995i | ||||
\(563\) | −5.46409 | − | 20.3923i | −0.230284 | − | 0.859432i | −0.980218 | − | 0.197920i | \(-0.936582\pi\) |
0.749934 | − | 0.661513i | \(-0.230085\pi\) | |||||||
\(564\) | 12.4013 | − | 29.2625i | 0.522187 | − | 1.23217i | ||||
\(565\) | −2.49631 | + | 9.31636i | −0.105021 | + | 0.391942i | ||||
\(566\) | −43.6485 | − | 6.06409i | −1.83468 | − | 0.254893i | ||||
\(567\) | −11.8942 | + | 0.292376i | −0.499509 | + | 0.0122786i | ||||
\(568\) | −20.7563 | + | 8.08069i | −0.870916 | + | 0.339058i | ||||
\(569\) | 21.4776 | − | 12.4001i | 0.900389 | − | 0.519840i | 0.0230625 | − | 0.999734i | \(-0.492658\pi\) |
0.877326 | + | 0.479894i | \(0.159325\pi\) | |||||||
\(570\) | −36.7721 | + | 21.1812i | −1.54021 | + | 0.887184i | ||||
\(571\) | 17.7063 | − | 4.74438i | 0.740985 | − | 0.198546i | 0.131469 | − | 0.991320i | \(-0.458031\pi\) |
0.609516 | + | 0.792774i | \(0.291364\pi\) | |||||||
\(572\) | 6.45685 | + | 6.64412i | 0.269974 | + | 0.277804i | ||||
\(573\) | −14.8589 | − | 35.2582i | −0.620738 | − | 1.47293i | ||||
\(574\) | 2.82985 | + | 1.19593i | 0.118116 | + | 0.0499171i | ||||
\(575\) | −12.1096 | −0.505004 | ||||||||
\(576\) | −21.1419 | + | 11.3586i | −0.880914 | + | 0.473277i | ||||
\(577\) | −23.4462 | −0.976078 | −0.488039 | − | 0.872822i | \(-0.662288\pi\) | ||||
−0.488039 | + | 0.872822i | \(0.662288\pi\) | |||||||
\(578\) | 53.2495 | + | 22.5038i | 2.21489 | + | 0.936036i | ||||
\(579\) | −16.5402 | + | 21.8320i | −0.687387 | + | 0.907308i | ||||
\(580\) | −14.5026 | − | 14.9233i | −0.602189 | − | 0.619655i | ||||
\(581\) | −4.36800 | + | 1.17040i | −0.181215 | + | 0.0485564i | ||||
\(582\) | −0.00318715 | + | 3.17910i | −0.000132112 | + | 0.131778i | ||||
\(583\) | −12.5688 | + | 7.25657i | −0.520545 | + | 0.300537i | ||||
\(584\) | −1.52140 | + | 0.592301i | −0.0629561 | + | 0.0245096i | ||||
\(585\) | −8.02079 | − | 28.5271i | −0.331619 | − | 1.17945i | ||||
\(586\) | 44.4049 | + | 6.16917i | 1.83435 | + | 0.254846i | ||||
\(587\) | 4.33159 | − | 16.1657i | 0.178784 | − | 0.667230i | −0.817092 | − | 0.576507i | \(-0.804415\pi\) |
0.995876 | − | 0.0907235i | \(-0.0289180\pi\) | |||||||
\(588\) | 18.0579 | − | 2.22781i | 0.744694 | − | 0.0918735i | ||||
\(589\) | −1.80108 | − | 6.72173i | −0.0742123 | − | 0.276964i | ||||
\(590\) | −19.8029 | + | 2.46326i | −0.815274 | + | 0.101411i | ||||
\(591\) | −1.79784 | − | 2.31342i | −0.0739532 | − | 0.0951613i | ||||
\(592\) | −9.29528 | + | 8.77848i | −0.382034 | + | 0.360793i | ||||
\(593\) | 6.18675 | 0.254059 | 0.127030 | − | 0.991899i | \(-0.459456\pi\) | ||||
0.127030 | + | 0.991899i | \(0.459456\pi\) | |||||||
\(594\) | 8.40174 | − | 4.97801i | 0.344728 | − | 0.204250i | ||||
\(595\) | 20.1524 | − | 20.1524i | 0.826168 | − | 0.826168i | ||||
\(596\) | −14.9539 | − | 8.92102i | −0.612536 | − | 0.365419i | ||||
\(597\) | 1.37756 | − | 10.9847i | 0.0563797 | − | 0.449574i | ||||
\(598\) | −12.1039 | + | 15.5429i | −0.494967 | + | 0.635596i | ||||
\(599\) | 7.98730 | + | 4.61147i | 0.326352 | + | 0.188420i | 0.654220 | − | 0.756304i | \(-0.272997\pi\) |
−0.327868 | + | 0.944723i | \(0.606330\pi\) | |||||||
\(600\) | −10.3352 | − | 10.6563i | −0.421932 | − | 0.435041i | ||||
\(601\) | −15.0097 | + | 8.66586i | −0.612259 | + | 0.353488i | −0.773849 | − | 0.633370i | \(-0.781671\pi\) |
0.161590 | + | 0.986858i | \(0.448338\pi\) | |||||||
\(602\) | −1.64446 | + | 11.8366i | −0.0670232 | + | 0.482424i | ||||
\(603\) | −0.531535 | − | 43.2535i | −0.0216458 | − | 1.76142i | ||||
\(604\) | 39.5735 | + | 11.2123i | 1.61022 | + | 0.456222i | ||||
\(605\) | 25.2751 | + | 6.77243i | 1.02758 | + | 0.275339i | ||||
\(606\) | −17.4810 | + | 17.4460i | −0.710117 | + | 0.708695i | ||||
\(607\) | 11.8418 | − | 20.5106i | 0.480643 | − | 0.832498i | −0.519110 | − | 0.854707i | \(-0.673737\pi\) |
0.999753 | + | 0.0222090i | \(0.00706992\pi\) | |||||||
\(608\) | 12.0847 | + | 32.4036i | 0.490099 | + | 1.31414i | ||||
\(609\) | −8.32835 | + | 1.14855i | −0.337482 | + | 0.0465415i | ||||
\(610\) | 37.9482 | + | 16.0374i | 1.53648 | + | 0.649333i | ||||
\(611\) | 22.6135 | − | 22.6135i | 0.914844 | − | 0.914844i | ||||
\(612\) | −22.7439 | − | 39.5766i | −0.919366 | − | 1.59979i | ||||
\(613\) | 15.4110 | + | 15.4110i | 0.622445 | + | 0.622445i | 0.946156 | − | 0.323711i | \(-0.104930\pi\) |
−0.323711 | + | 0.946156i | \(0.604930\pi\) | |||||||
\(614\) | 31.9697 | − | 12.9754i | 1.29019 | − | 0.523644i | ||||
\(615\) | 7.47040 | + | 3.04070i | 0.301236 | + | 0.122613i | ||||
\(616\) | 4.00619 | − | 2.93978i | 0.161414 | − | 0.118447i | ||||
\(617\) | −11.9979 | − | 6.92700i | −0.483018 | − | 0.278870i | 0.238655 | − | 0.971104i | \(-0.423293\pi\) |
−0.721673 | + | 0.692234i | \(0.756627\pi\) | |||||||
\(618\) | −11.3625 | − | 19.7261i | −0.457068 | − | 0.793501i | ||||
\(619\) | −10.3518 | + | 38.6333i | −0.416072 | + | 1.55280i | 0.366606 | + | 0.930376i | \(0.380520\pi\) |
−0.782678 | + | 0.622427i | \(0.786147\pi\) | |||||||
\(620\) | 5.63235 | − | 3.14537i | 0.226201 | − | 0.126321i | ||||
\(621\) | 12.9426 | + | 16.2384i | 0.519367 | + | 0.651624i | ||||
\(622\) | −8.40666 | − | 11.1194i | −0.337076 | − | 0.445848i | ||||
\(623\) | 10.7156 | + | 18.5599i | 0.429310 | + | 0.743586i | ||||
\(624\) | −24.0080 | + | 2.61410i | −0.961088 | + | 0.104648i | ||||
\(625\) | −15.4844 | + | 26.8198i | −0.619377 | + | 1.07279i | ||||
\(626\) | −13.7058 | + | 1.70485i | −0.547794 | + | 0.0681394i | ||||
\(627\) | −5.46503 | − | 12.9678i | −0.218252 | − | 0.517884i | ||||
\(628\) | 9.45044 | − | 15.8414i | 0.377114 | − | 0.632139i | ||||
\(629\) | −17.1945 | − | 17.1945i | −0.685591 | − | 0.685591i | ||||
\(630\) | −15.7468 | + | 2.15553i | −0.627368 | + | 0.0858783i | ||||
\(631\) | 16.7956i | 0.668624i | 0.942462 | + | 0.334312i | \(0.108504\pi\) | ||||
−0.942462 | + | 0.334312i | \(0.891496\pi\) | |||||||
\(632\) | −2.53714 | + | 3.16365i | −0.100922 | + | 0.125843i | ||||
\(633\) | −0.493315 | − | 3.57712i | −0.0196075 | − | 0.142178i | ||||
\(634\) | −14.7972 | − | 11.5233i | −0.587673 | − | 0.457647i | ||||
\(635\) | −14.3567 | + | 3.84688i | −0.569730 | + | 0.152659i | ||||
\(636\) | 5.24337 | − | 37.4655i | 0.207913 | − | 1.48560i | ||||
\(637\) | 17.6845 | + | 4.73856i | 0.700687 | + | 0.187749i | ||||
\(638\) | 5.50452 | − | 4.16161i | 0.217926 | − | 0.164760i | ||||
\(639\) | −5.83371 | + | 22.8933i | −0.230778 | + | 0.905647i | ||||
\(640\) | −26.3793 | + | 18.2208i | −1.04274 | + | 0.720240i | ||||
\(641\) | 20.0246 | + | 34.6837i | 0.790925 | + | 1.36992i | 0.925395 | + | 0.379005i | \(0.123734\pi\) |
−0.134470 | + | 0.990918i | \(0.542933\pi\) | |||||||
\(642\) | −1.69267 | − | 6.34257i | −0.0668044 | − | 0.250321i | ||||
\(643\) | −0.289008 | − | 1.07859i | −0.0113974 | − | 0.0425356i | 0.959993 | − | 0.280024i | \(-0.0903425\pi\) |
−0.971390 | + | 0.237489i | \(0.923676\pi\) | |||||||
\(644\) | 7.36371 | + | 7.57728i | 0.290171 | + | 0.298587i | ||||
\(645\) | −3.90388 | + | 31.1297i | −0.153715 | + | 1.22573i | ||||
\(646\) | −60.9473 | + | 24.7364i | −2.39794 | + | 0.973241i | ||||
\(647\) | 31.9272i | 1.25519i | 0.778541 | + | 0.627594i | \(0.215960\pi\) | ||||
−0.778541 | + | 0.627594i | \(0.784040\pi\) | |||||||
\(648\) | −3.24348 | + | 25.2484i | −0.127416 | + | 0.991849i | ||||
\(649\) | − | 6.61750i | − | 0.259759i | ||||||
\(650\) | −5.61762 | − | 13.8411i | −0.220341 | − | 0.542893i | ||||
\(651\) | 0.324308 | − | 2.58605i | 0.0127106 | − | 0.101355i | ||||
\(652\) | −29.4275 | − | 0.420645i | −1.15247 | − | 0.0164737i | ||||
\(653\) | −3.36682 | − | 12.5651i | −0.131754 | − | 0.491712i | 0.868236 | − | 0.496151i | \(-0.165254\pi\) |
−0.999990 | + | 0.00443888i | \(0.998587\pi\) | |||||||
\(654\) | 28.8934 | − | 7.71092i | 1.12982 | − | 0.301521i | ||||
\(655\) | 9.19841 | + | 15.9321i | 0.359412 | + | 0.622519i | ||||
\(656\) | 3.44790 | − | 5.59619i | 0.134618 | − | 0.218494i | ||||
\(657\) | −0.427601 | + | 1.67804i | −0.0166823 | + | 0.0654667i | ||||
\(658\) | −10.3443 | − | 13.6823i | −0.403261 | − | 0.533390i | ||||
\(659\) | 15.4883 | + | 4.15007i | 0.603337 | + | 0.161664i | 0.547541 | − | 0.836779i | \(-0.315564\pi\) |
0.0557954 | + | 0.998442i | \(0.482231\pi\) | |||||||
\(660\) | 10.4141 | − | 7.85703i | 0.405369 | − | 0.305834i | ||||
\(661\) | 21.9923 | − | 5.89283i | 0.855403 | − | 0.229204i | 0.195637 | − | 0.980676i | \(-0.437322\pi\) |
0.659765 | + | 0.751472i | \(0.270656\pi\) | |||||||
\(662\) | 0.920387 | − | 1.18189i | 0.0357719 | − | 0.0459353i | ||||
\(663\) | −6.27493 | − | 45.5007i | −0.243698 | − | 1.76710i | ||||
\(664\) | 1.05693 | + | 9.61729i | 0.0410169 | + | 0.373223i | ||||
\(665\) | 22.9026i | 0.888124i | ||||||||
\(666\) | 1.83915 | + | 13.4356i | 0.0712657 | + | 0.520618i | ||||
\(667\) | 10.3754 | + | 10.3754i | 0.401738 | + | 0.401738i | ||||
\(668\) | −3.36857 | − | 13.3310i | −0.130334 | − | 0.515791i | ||||
\(669\) | −18.3627 | − | 43.5722i | −0.709941 | − | 1.68460i | ||||
\(670\) | −7.13277 | − | 57.3426i | −0.275563 | − | 2.21534i | ||||
\(671\) | −6.83085 | + | 11.8314i | −0.263702 | + | 0.456745i | ||||
\(672\) | −0.383202 | + | 12.9470i | −0.0147823 | + | 0.499442i | ||||
\(673\) | 16.3212 | + | 28.2692i | 0.629136 | + | 1.08970i | 0.987725 | + | 0.156201i | \(0.0499246\pi\) |
−0.358589 | + | 0.933496i | \(0.616742\pi\) | |||||||
\(674\) | −5.64921 | + | 4.27100i | −0.217599 | + | 0.164513i | ||||
\(675\) | −15.5702 | + | 2.34257i | −0.599298 | + | 0.0901656i | ||||
\(676\) | 1.63497 | + | 0.463234i | 0.0628835 | + | 0.0178167i | ||||
\(677\) | 3.84993 | − | 14.3681i | 0.147965 | − | 0.552212i | −0.851641 | − | 0.524126i | \(-0.824392\pi\) |
0.999606 | − | 0.0280861i | \(-0.00894127\pi\) | |||||||
\(678\) | 7.22431 | − | 4.16131i | 0.277448 | − | 0.159814i | ||||
\(679\) | 1.48588 | + | 0.857871i | 0.0570227 | + | 0.0329221i | ||||
\(680\) | −36.0746 | − | 49.1607i | −1.38340 | − | 1.88523i | ||||
\(681\) | −4.66343 | − | 1.89817i | −0.178703 | − | 0.0727381i | ||||
\(682\) | 0.804514 | + | 1.98222i | 0.0308065 | + | 0.0759031i | ||||
\(683\) | 21.4912 | + | 21.4912i | 0.822338 | + | 0.822338i | 0.986443 | − | 0.164105i | \(-0.0524736\pi\) |
−0.164105 | + | 0.986443i | \(0.552474\pi\) | |||||||
\(684\) | 35.4126 | + | 9.56492i | 1.35403 | + | 0.365724i | ||||
\(685\) | −14.2671 | + | 14.2671i | −0.545120 | + | 0.545120i | ||||
\(686\) | 8.91697 | − | 21.0997i | 0.340451 | − | 0.805590i | ||||
\(687\) | 11.5210 | − | 1.58885i | 0.439555 | − | 0.0606183i | ||||
\(688\) | 24.4977 | + | 7.32073i | 0.933967 | + | 0.279100i | ||||
\(689\) | 19.0334 | − | 32.9669i | 0.725116 | − | 1.25594i | ||||
\(690\) | 19.5949 | + | 19.6342i | 0.745966 | + | 0.747463i | ||||
\(691\) | −8.83775 | − | 2.36807i | −0.336204 | − | 0.0900855i | 0.0867676 | − | 0.996229i | \(-0.472346\pi\) |
−0.422971 | + | 0.906143i | \(0.639013\pi\) | |||||||
\(692\) | −3.10428 | − | 5.55876i | −0.118007 | − | 0.211312i | ||||
\(693\) | −0.0647636 | − | 5.27012i | −0.00246017 | − | 0.200195i | ||||
\(694\) | 8.53733 | + | 1.18609i | 0.324072 | + | 0.0450234i | ||||
\(695\) | 10.3440 | − | 5.97209i | 0.392369 | − | 0.226534i | ||||
\(696\) | −0.275123 | + | 17.9854i | −0.0104285 | + | 0.681735i | ||||
\(697\) | 10.8266 | + | 6.25077i | 0.410088 | + | 0.236765i | ||||
\(698\) | −6.26354 | − | 4.87769i | −0.237078 | − | 0.184623i | ||||
\(699\) | −2.54660 | + | 20.3067i | −0.0963212 | + | 0.768070i | ||||
\(700\) | −7.76760 | + | 1.96277i | −0.293588 | + | 0.0741858i | ||||
\(701\) | −4.05144 | + | 4.05144i | −0.153021 | + | 0.153021i | −0.779466 | − | 0.626445i | \(-0.784509\pi\) |
0.626445 | + | 0.779466i | \(0.284509\pi\) | |||||||
\(702\) | −12.5562 | + | 22.3262i | −0.473905 | + | 0.842648i | ||||
\(703\) | 19.5411 | 0.737005 | ||||||||
\(704\) | −4.91623 | − | 9.42664i | −0.185287 | − | 0.355280i | ||||
\(705\) | −27.6322 | − | 35.5565i | −1.04069 | − | 1.33913i | ||||
\(706\) | −1.76713 | − | 14.2065i | −0.0665067 | − | 0.534669i | ||||
\(707\) | 3.44978 | + | 12.8747i | 0.129742 | + | 0.484204i | ||||
\(708\) | 13.5989 | + | 10.6120i | 0.511078 | + | 0.398823i | ||||
\(709\) | −1.00775 | + | 3.76098i | −0.0378469 | + | 0.141247i | −0.982264 | − | 0.187503i | \(-0.939961\pi\) |
0.944417 | + | 0.328750i | \(0.106627\pi\) | |||||||
\(710\) | −4.34283 | + | 31.2591i | −0.162983 | + | 1.17313i | ||||
\(711\) | 1.16424 | + | 4.14078i | 0.0436623 | + | 0.155291i | ||||
\(712\) | 42.7289 | − | 16.6349i | 1.60133 | − | 0.623419i | ||||
\(713\) | −3.93936 | + | 2.27439i | −0.147530 | + | 0.0851767i | ||||
\(714\) | −24.6351 | − | 0.0246975i | −0.921945 | − | 0.000924281i | ||||
\(715\) | 12.6797 | − | 3.39752i | 0.474195 | − | 0.127060i | ||||
\(716\) | −10.5673 | − | 0.151051i | −0.394918 | − | 0.00564506i | ||||
\(717\) | 3.66841 | − | 4.84208i | 0.136999 | − | 0.180831i | ||||
\(718\) | 2.90719 | − | 6.87911i | 0.108495 | − | 0.256726i | ||||
\(719\) | −37.0063 | −1.38010 | −0.690050 | − | 0.723761i | \(-0.742412\pi\) | ||||
−0.690050 | + | 0.723761i | \(0.742412\pi\) | |||||||
\(720\) | −0.554203 | + | 34.0006i | −0.0206539 | + | 1.26713i | ||||
\(721\) | −12.2859 | −0.457552 | ||||||||
\(722\) | 10.1164 | − | 23.9378i | 0.376494 | − | 0.890874i | ||||
\(723\) | 5.86057 | + | 13.9064i | 0.217957 | + | 0.517184i | ||||
\(724\) | −0.00683737 | + | 0.478330i | −0.000254109 | + | 0.0177770i | ||||
\(725\) | −10.7469 | + | 2.87962i | −0.399129 | + | 0.106946i | ||||
\(726\) | −11.2895 | − | 19.5994i | −0.418993 | − | 0.727401i | ||||
\(727\) | 28.4066 | − | 16.4006i | 1.05354 | − | 0.608264i | 0.129905 | − | 0.991526i | \(-0.458533\pi\) |
0.923640 | + | 0.383262i | \(0.125199\pi\) | |||||||
\(728\) | −5.24473 | + | 11.9317i | −0.194383 | + | 0.442220i | ||||
\(729\) | 19.7826 | + | 18.3753i | 0.732688 | + | 0.680565i | ||||
\(730\) | −0.318322 | + | 2.29124i | −0.0117816 | + | 0.0848025i | ||||
\(731\) | −12.5861 | + | 46.9719i | −0.465513 | + | 1.73732i | ||||
\(732\) | −13.3593 | − | 33.0104i | −0.493772 | − | 1.22010i | ||||
\(733\) | 10.9743 | + | 40.9566i | 0.405345 | + | 1.51277i | 0.803419 | + | 0.595413i | \(0.203012\pi\) |
−0.398075 | + | 0.917353i | \(0.630322\pi\) | |||||||
\(734\) | 1.75245 | + | 14.0885i | 0.0646840 | + | 0.520015i | ||||
\(735\) | 9.71899 | − | 23.8776i | 0.358490 | − | 0.880740i | ||||
\(736\) | 18.4150 | − | 13.1123i | 0.678786 | − | 0.483327i | ||||
\(737\) | 19.1620 | 0.705842 | ||||||||
\(738\) | −2.70107 | − | 6.42730i | −0.0994279 | − | 0.236592i | ||||
\(739\) | −15.3761 | + | 15.3761i | −0.565620 | + | 0.565620i | −0.930898 | − | 0.365278i | \(-0.880974\pi\) |
0.365278 | + | 0.930898i | \(0.380974\pi\) | |||||||
\(740\) | 4.43800 | + | 17.5632i | 0.163144 | + | 0.645637i | ||||
\(741\) | 29.4207 | + | 22.2894i | 1.08080 | + | 0.818823i | ||||
\(742\) | −16.1087 | − | 12.5445i | −0.591367 | − | 0.460524i | ||||
\(743\) | 40.4824 | + | 23.3725i | 1.48516 | + | 0.857456i | 0.999857 | − | 0.0168926i | \(-0.00537734\pi\) |
0.485299 | + | 0.874348i | \(0.338711\pi\) | |||||||
\(744\) | −5.36359 | − | 1.52547i | −0.196639 | − | 0.0559264i | ||||
\(745\) | −21.3664 | + | 12.3359i | −0.782805 | + | 0.451952i | ||||
\(746\) | 36.5247 | + | 5.07438i | 1.33727 | + | 0.185786i | ||||
\(747\) | 8.94961 | + | 5.02145i | 0.327449 | + | 0.183725i | ||||
\(748\) | 17.6542 | − | 9.85896i | 0.645503 | − | 0.360479i | ||||
\(749\) | −3.42213 | − | 0.916958i | −0.125042 | − | 0.0335049i | ||||
\(750\) | 13.2105 | − | 3.52554i | 0.482378 | − | 0.128735i | ||||
\(751\) | 25.7074 | − | 44.5265i | 0.938077 | − | 1.62480i | 0.169023 | − | 0.985612i | \(-0.445939\pi\) |
0.769054 | − | 0.639184i | \(-0.220728\pi\) | |||||||
\(752\) | −32.2933 | + | 17.4334i | −1.17762 | + | 0.635729i | ||||
\(753\) | 14.5829 | + | 18.7650i | 0.531432 | + | 0.683835i | ||||
\(754\) | −7.04584 | + | 16.6721i | −0.256594 | + | 0.607164i | ||||
\(755\) | 41.2088 | − | 41.2088i | 1.49974 | − | 1.49974i | ||||
\(756\) | 10.9339 | + | 8.31821i | 0.397663 | + | 0.302531i | ||||
\(757\) | 25.4143 | + | 25.4143i | 0.923698 | + | 0.923698i | 0.997289 | − | 0.0735910i | \(-0.0234459\pi\) |
−0.0735910 | + | 0.997289i | \(0.523446\pi\) | |||||||
\(758\) | −8.51866 | − | 20.9889i | −0.309412 | − | 0.762351i | ||||
\(759\) | −7.26324 | + | 5.64452i | −0.263639 | + | 0.204883i | ||||
\(760\) | 48.4336 | + | 7.43596i | 1.75687 | + | 0.269731i | ||||
\(761\) | 20.2336 | + | 11.6819i | 0.733467 | + | 0.423467i | 0.819689 | − | 0.572808i | \(-0.194146\pi\) |
−0.0862220 | + | 0.996276i | \(0.527479\pi\) | |||||||
\(762\) | 11.1200 | + | 6.43498i | 0.402834 | + | 0.233115i | ||||
\(763\) | 4.17717 | − | 15.5894i | 0.151224 | − | 0.564375i | ||||
\(764\) | −12.0435 | + | 42.5071i | −0.435718 | + | 1.53785i | ||||
\(765\) | −64.6706 | + | 0.794725i | −2.33817 | + | 0.0287334i | ||||
\(766\) | 5.64219 | − | 4.26569i | 0.203861 | − | 0.154126i | ||||
\(767\) | 8.67859 | + | 15.0318i | 0.313366 | + | 0.542765i | ||||
\(768\) | 27.2555 | + | 5.01399i | 0.983497 | + | 0.180927i | ||||
\(769\) | −12.7645 | + | 22.1087i | −0.460299 | + | 0.797261i | −0.998976 | − | 0.0452513i | \(-0.985591\pi\) |
0.538677 | + | 0.842513i | \(0.318924\pi\) | |||||||
\(770\) | −0.869076 | − | 6.98678i | −0.0313193 | − | 0.251786i | ||||
\(771\) | 19.3888 | − | 25.5920i | 0.698270 | − | 0.921674i | ||||
\(772\) | 30.6635 | − | 7.74828i | 1.10360 | − | 0.278867i | ||||
\(773\) | −19.2256 | − | 19.2256i | −0.691496 | − | 0.691496i | 0.271065 | − | 0.962561i | \(-0.412624\pi\) |
−0.962561 | + | 0.271065i | \(0.912624\pi\) | |||||||
\(774\) | 21.4299 | − | 16.6195i | 0.770282 | − | 0.597375i | ||||
\(775\) | − | 3.44916i | − | 0.123898i | ||||||
\(776\) | 2.29663 | − | 2.86375i | 0.0824441 | − | 0.102803i | ||||
\(777\) | 6.77870 | + | 2.75916i | 0.243185 | + | 0.0989843i | ||||
\(778\) | −11.6076 | + | 14.9055i | −0.416152 | + | 0.534389i | ||||
\(779\) | −9.70397 | + | 2.60017i | −0.347681 | + | 0.0931608i | ||||
\(780\) | −13.3517 | + | 31.5051i | −0.478066 | + | 1.12806i | ||||
\(781\) | −10.1088 | − | 2.70866i | −0.361723 | − | 0.0969234i | ||||
\(782\) | 25.9297 | + | 34.2969i | 0.927243 | + | 1.22646i | ||||
\(783\) | 15.3476 | + | 11.3334i | 0.548479 | + | 0.405022i | ||||
\(784\) | −17.8871 | − | 11.0205i | −0.638824 | − | 0.393590i | ||||
\(785\) | −13.0680 | − | 22.6344i | −0.466416 | − | 0.807857i | ||||
\(786\) | 4.13117 | − | 15.3561i | 0.147354 | − | 0.547735i | ||||
\(787\) | 5.16260 | + | 19.2671i | 0.184027 | + | 0.686797i | 0.994837 | + | 0.101488i | \(0.0323603\pi\) |
−0.810810 | + | 0.585309i | \(0.800973\pi\) | |||||||
\(788\) | −0.0483542 | + | 3.38277i | −0.00172255 | + | 0.120506i | ||||
\(789\) | −6.31589 | + | 2.66171i | −0.224852 | + | 0.0947593i | ||||
\(790\) | 2.16088 | + | 5.32413i | 0.0768807 | + | 0.189424i | ||||
\(791\) | − | 4.49949i | − | 0.159983i | ||||||
\(792\) | −11.1661 | − | 1.57413i | −0.396770 | − | 0.0559344i | ||||
\(793\) | − | 35.8336i | − | 1.27249i | ||||||
\(794\) | −34.6851 | + | 14.0775i | −1.23093 | + | 0.499591i | ||||
\(795\) | −42.7246 | − | 32.3687i | −1.51529 | − | 1.14800i | ||||
\(796\) | −9.16750 | + | 8.90911i | −0.324933 | + | 0.315775i | ||||
\(797\) | −3.02171 | − | 11.2772i | −0.107035 | − | 0.399458i | 0.891534 | − | 0.452955i | \(-0.149630\pi\) |
−0.998568 | + | 0.0534965i | \(0.982963\pi\) | |||||||
\(798\) | 14.0125 | − | 13.9845i | 0.496038 | − | 0.495044i | ||||
\(799\) | −34.8990 | − | 60.4469i | −1.23464 | − | 2.13846i | ||||
\(800\) | 1.62883 | + | 17.0639i | 0.0575880 | + | 0.603301i | ||||
\(801\) | 12.0093 | − | 47.1282i | 0.424326 | − | 1.66519i | ||||
\(802\) | 15.0290 | − | 11.3625i | 0.530694 | − | 0.401222i | ||||
\(803\) | −0.740961 | − | 0.198540i | −0.0261479 | − | 0.00700632i | ||||
\(804\) | −30.7287 | + | 39.3778i | −1.08372 | + | 1.38875i | ||||
\(805\) | 14.4606 | − | 3.87471i | 0.509669 | − | 0.136565i | ||||
\(806\) | −4.42708 | − | 3.44756i | −0.155937 | − | 0.121435i | ||||
\(807\) | −34.1840 | + | 26.5656i | −1.20333 | + | 0.935152i | ||||
\(808\) | 28.3471 | − | 3.11532i | 0.997248 | − | 0.109597i | ||||
\(809\) | − | 13.1110i | − | 0.460958i | −0.973077 | − | 0.230479i | \(-0.925971\pi\) | ||
0.973077 | − | 0.230479i | \(-0.0740292\pi\) | |||||||
\(810\) | 28.9929 | + | 21.4547i | 1.01871 | + | 0.753841i | ||||
\(811\) | −34.1945 | − | 34.1945i | −1.20073 | − | 1.20073i | −0.973944 | − | 0.226789i | \(-0.927177\pi\) |
−0.226789 | − | 0.973944i | \(-0.572823\pi\) | |||||||
\(812\) | 8.33694 | + | 4.97355i | 0.292569 | + | 0.174537i | ||||
\(813\) | 46.3267 | + | 5.80969i | 1.62475 | + | 0.203755i | ||||
\(814\) | −5.96129 | + | 0.741517i | −0.208943 | + | 0.0259902i | ||||
\(815\) | −20.8498 | + | 36.1129i | −0.730337 | + | 1.26498i | ||||
\(816\) | −8.05070 | + | 52.0894i | −0.281831 | + | 1.82349i | ||||
\(817\) | −19.5392 | − | 33.8429i | −0.683590 | − | 1.18401i | ||||
\(818\) | −10.4428 | − | 13.8125i | −0.365122 | − | 0.482944i | ||||
\(819\) | 7.05868 | + | 11.8862i | 0.246650 | + | 0.415339i | ||||
\(820\) | −4.54088 | − | 8.13126i | −0.158574 | − | 0.283956i | ||||
\(821\) | 6.39631 | − | 23.8714i | 0.223233 | − | 0.833116i | −0.759872 | − | 0.650073i | \(-0.774738\pi\) |
0.983105 | − | 0.183044i | \(-0.0585949\pi\) | |||||||
\(822\) | 17.4407 | + | 0.0174849i | 0.608314 | + | 0.000609856i | ||||
\(823\) | −16.2152 | − | 9.36184i | −0.565226 | − | 0.326333i | 0.190014 | − | 0.981781i | \(-0.439147\pi\) |
−0.755240 | + | 0.655448i | \(0.772480\pi\) | |||||||
\(824\) | −3.98897 | + | 25.9819i | −0.138962 | + | 0.905121i | ||||
\(825\) | −0.952888 | − | 6.90958i | −0.0331753 | − | 0.240561i | ||||
\(826\) | 8.62605 | − | 3.50101i | 0.300139 | − | 0.121816i | ||||
\(827\) | −24.1212 | − | 24.1212i | −0.838775 | − | 0.838775i | 0.149923 | − | 0.988698i | \(-0.452098\pi\) |
−0.988698 | + | 0.149923i | \(0.952098\pi\) | |||||||
\(828\) | 0.0480768 | − | 23.9776i | 0.00167078 | − | 0.833279i | ||||
\(829\) | −20.8683 | + | 20.8683i | −0.724787 | + | 0.724787i | −0.969576 | − | 0.244789i | \(-0.921281\pi\) |
0.244789 | + | 0.969576i | \(0.421281\pi\) | |||||||
\(830\) | 12.6273 | + | 5.33643i | 0.438299 | + | 0.185230i | ||||
\(831\) | −6.24988 | + | 15.3547i | −0.216806 | + | 0.532649i | ||||
\(832\) | 23.5300 | + | 14.9653i | 0.815755 | + | 0.518830i | ||||
\(833\) | 19.9793 | − | 34.6052i | 0.692242 | − | 1.19900i | ||||
\(834\) | −9.97000 | − | 2.68217i | −0.345233 | − | 0.0928759i | ||||
\(835\) | −18.8183 | − | 5.04234i | −0.651233 | − | 0.174497i | ||||
\(836\) | −4.42954 | + | 15.6339i | −0.153199 | + | 0.540711i | ||||
\(837\) | −4.62517 | + | 3.68643i | −0.159869 | + | 0.127422i | ||||
\(838\) | 6.45566 | − | 46.4670i | 0.223007 | − | 1.60518i | ||||
\(839\) | −5.01977 | + | 2.89816i | −0.173302 | + | 0.100056i | −0.584142 | − | 0.811652i | \(-0.698569\pi\) |
0.410840 | + | 0.911707i | \(0.365235\pi\) | |||||||
\(840\) | 15.7514 | + | 9.41823i | 0.543476 | + | 0.324960i | ||||
\(841\) | −13.4396 | − | 7.75936i | −0.463435 | − | 0.267564i | ||||
\(842\) | 22.2225 | − | 28.5363i | 0.765838 | − | 0.983426i | ||||
\(843\) | −15.6929 | + | 6.61346i | −0.540492 | + | 0.227780i | ||||
\(844\) | −2.13620 | + | 3.58081i | −0.0735309 | + | 0.123257i | ||||
\(845\) | 1.70253 | − | 1.70253i | 0.0585689 | − | 0.0585689i | ||||
\(846\) | −4.88220 | + | 38.6173i | −0.167853 | + | 1.32769i | ||||
\(847\) | −12.2070 | −0.419437 | ||||||||
\(848\) | −31.7588 | + | 29.9931i | −1.09060 | + | 1.02997i | ||||
\(849\) | 53.4657 | − | 7.37337i | 1.83494 | − | 0.253053i | ||||
\(850\) | −32.3526 | + | 4.02430i | −1.10968 | + | 0.138032i | ||||
\(851\) | −3.30600 | − | 12.3381i | −0.113328 | − | 0.422946i | ||||
\(852\) | 21.7771 | − | 16.4299i | 0.746070 | − | 0.562880i | ||||
\(853\) | −0.461332 | + | 1.72171i | −0.0157957 | + | 0.0589504i | −0.973374 | − | 0.229223i | \(-0.926381\pi\) |
0.957578 | + | 0.288174i | \(0.0930481\pi\) | |||||||
\(854\) | −19.0363 | − | 2.64472i | −0.651410 | − | 0.0905004i | ||||
\(855\) | 36.2964 | − | 37.1996i | 1.24131 | − | 1.27220i | ||||
\(856\) | −3.05024 | + | 6.93929i | −0.104255 | + | 0.237180i | ||||
\(857\) | 12.6918 | − | 7.32760i | 0.433543 | − | 0.250306i | −0.267312 | − | 0.963610i | \(-0.586135\pi\) |
0.700855 | + | 0.713304i | \(0.252802\pi\) | |||||||
\(858\) | −9.82103 | − | 5.68331i | −0.335285 | − | 0.194025i | ||||
\(859\) | −51.3859 | + | 13.7688i | −1.75327 | + | 0.469786i | −0.985318 | − | 0.170727i | \(-0.945388\pi\) |
−0.767947 | + | 0.640513i | \(0.778722\pi\) | |||||||
\(860\) | 25.9799 | − | 25.2477i | 0.885908 | − | 0.860938i | ||||
\(861\) | −3.73340 | − | 0.468194i | −0.127234 | − | 0.0159560i | ||||
\(862\) | −13.4228 | − | 5.67262i | −0.457182 | − | 0.193210i | ||||
\(863\) | 23.9467 | 0.815157 | 0.407578 | − | 0.913170i | \(-0.366373\pi\) | ||||
0.407578 | + | 0.913170i | \(0.366373\pi\) | |||||||
\(864\) | 21.1411 | − | 20.4219i | 0.719234 | − | 0.694768i | ||||
\(865\) | −9.02103 | −0.306724 | ||||||||
\(866\) | −15.3313 | − | 6.47917i | −0.520978 | − | 0.220171i | ||||
\(867\) | −70.2515 | − | 8.81003i | −2.38587 | − | 0.299204i | ||||
\(868\) | −2.15824 | + | 2.09740i | −0.0732553 | + | 0.0711905i | ||||
\(869\) | −1.84049 | + | 0.493159i | −0.0624345 | + | 0.0167293i | ||||
\(870\) | 22.0589 | + | 12.7652i | 0.747867 | + | 0.432781i | ||||
\(871\) | −43.5269 | + | 25.1303i | −1.47485 | + | 0.851507i | ||||
\(872\) | −31.6117 | − | 13.8953i | −1.07051 | − | 0.470554i | ||||
\(873\) | −1.05387 | − | 3.74825i | −0.0356681 | − | 0.126859i | ||||
\(874\) | −34.2228 | − | 4.75457i | −1.15760 | − | 0.160826i | ||||
\(875\) | 1.90986 | − | 7.12771i | 0.0645652 | − | 0.240961i | ||||
\(876\) | 1.59622 | − | 1.20429i | 0.0539313 | − | 0.0406890i | ||||
\(877\) | 10.6447 | + | 39.7266i | 0.359446 | + | 1.34147i | 0.874796 | + | 0.484492i | \(0.160996\pi\) |
−0.515349 | + | 0.856980i | \(0.672338\pi\) | |||||||
\(878\) | −38.8747 | + | 4.83557i | −1.31196 | + | 0.163193i | ||||
\(879\) | −54.3922 | + | 7.50114i | −1.83460 | + | 0.253007i | ||||
\(880\) | −15.0576 | − | 0.430561i | −0.507590 | − | 0.0145142i | ||||
\(881\) | −41.2335 | −1.38919 | −0.694597 | − | 0.719399i | \(-0.744417\pi\) | ||||
−0.694597 | + | 0.719399i | \(0.744417\pi\) | |||||||
\(882\) | −20.5436 | + | 8.63344i | −0.691738 | + | 0.290703i | ||||
\(883\) | −11.9719 | + | 11.9719i | −0.402885 | + | 0.402885i | −0.879248 | − | 0.476364i | \(-0.841955\pi\) |
0.476364 | + | 0.879248i | \(0.341955\pi\) | |||||||
\(884\) | −27.1723 | + | 45.5477i | −0.913902 | + | 1.53193i | ||||
\(885\) | 22.5221 | − | 9.49151i | 0.757074 | − | 0.319054i | ||||
\(886\) | 21.8447 | − | 28.0512i | 0.733887 | − | 0.942398i | ||||
\(887\) | −26.7452 | − | 15.4413i | −0.898016 | − | 0.518470i | −0.0214599 | − | 0.999770i | \(-0.506831\pi\) |
−0.876556 | + | 0.481300i | \(0.840165\pi\) | |||||||
\(888\) | 8.03587 | − | 13.4395i | 0.269666 | − | 0.451001i | ||||
\(889\) | 6.00486 | − | 3.46691i | 0.201397 | − | 0.116276i | ||||
\(890\) | 8.94013 | − | 64.3499i | 0.299674 | − | 2.15701i | ||||
\(891\) | −8.24700 | + | 8.66266i | −0.276285 | + | 0.290210i | ||||
\(892\) | −14.8834 | + | 52.5305i | −0.498333 | + | 1.75885i | ||||
\(893\) | 54.1788 | + | 14.5172i | 1.81302 | + | 0.485798i | ||||
\(894\) | 20.5940 | + | 5.54027i | 0.688765 | + | 0.185294i | ||||
\(895\) | −7.48706 | + | 12.9680i | −0.250265 | + | 0.433471i | ||||
\(896\) | 9.68688 | − | 11.3956i | 0.323616 | − | 0.380701i | ||||
\(897\) | 9.09601 | − | 22.3471i | 0.303707 | − | 0.746147i | ||||
\(898\) | −26.1820 | − | 11.0648i | −0.873704 | − | 0.369237i | ||||
\(899\) | −2.95523 | + | 2.95523i | −0.0985624 | + | 0.0985624i | ||||
\(900\) | 15.7272 | + | 9.12220i | 0.524240 | + | 0.304073i | ||||
\(901\) | −58.7480 | − | 58.7480i | −1.95718 | − | 1.95718i | ||||
\(902\) | 2.86167 | − | 1.16145i | 0.0952833 | − | 0.0386722i | ||||
\(903\) | −1.99951 | − | 14.4988i | −0.0665395 | − | 0.482491i | ||||
\(904\) | −9.51536 | − | 1.46088i | −0.316476 | − | 0.0485883i | ||||
\(905\) | 0.586997 | + | 0.338903i | 0.0195125 | + | 0.0112655i | ||||
\(906\) | −50.3752 | − | 0.0505029i | −1.67360 | − | 0.00167785i | ||||
\(907\) | 7.16365 | − | 26.7351i | 0.237865 | − | 0.887725i | −0.738971 | − | 0.673737i | \(-0.764688\pi\) |
0.976836 | − | 0.213988i | \(-0.0686453\pi\) | |||||||
\(908\) | 2.83466 | + | 5.07598i | 0.0940717 | + | 0.168452i | ||||
\(909\) | 14.8008 | − | 26.3791i | 0.490912 | − | 0.874940i | ||||
\(910\) | 11.1370 | + | 14.7308i | 0.369188 | + | 0.488322i | ||||
\(911\) | −4.83009 | − | 8.36596i | −0.160028 | − | 0.277177i | 0.774850 | − | 0.632145i | \(-0.217825\pi\) |
−0.934878 | + | 0.354968i | \(0.884492\pi\) | |||||||
\(912\) | −25.0243 | − | 34.1736i | −0.828637 | − | 1.13160i | ||||
\(913\) | −2.27297 | + | 3.93689i | −0.0752242 | + | 0.130292i | ||||
\(914\) | −33.7502 | + | 4.19814i | −1.11636 | + | 0.138862i | ||||
\(915\) | −50.0647 | − | 6.27846i | −1.65509 | − | 0.207560i | ||||
\(916\) | −11.5329 | − | 6.88017i | −0.381058 | − | 0.227327i | ||||
\(917\) | −6.06859 | − | 6.06859i | −0.200403 | − | 0.200403i | ||||
\(918\) | 39.9745 | + | 39.0822i | 1.31935 | + | 1.28991i | ||||
\(919\) | 12.5574i | 0.414229i | 0.978317 | + | 0.207115i | \(0.0664073\pi\) | ||||
−0.978317 | + | 0.207115i | \(0.933593\pi\) | |||||||
\(920\) | −3.49905 | − | 31.8388i | −0.115360 | − | 1.04969i | ||||
\(921\) | −33.3659 | + | 25.9298i | −1.09944 | + | 0.854415i | ||||
\(922\) | −4.51626 | − | 3.51701i | −0.148735 | − | 0.115827i | ||||
\(923\) | 26.5147 | − | 7.10460i | 0.872743 | − | 0.233851i | ||||
\(924\) | −3.74407 | + | 4.79790i | −0.123171 | + | 0.157839i | ||||
\(925\) | 9.35553 | + | 2.50681i | 0.307608 | + | 0.0824233i | ||||
\(926\) | 11.6530 | − | 8.81005i | 0.382941 | − | 0.289516i | ||||
\(927\) | 19.9555 | + | 19.4710i | 0.655424 | + | 0.639511i | ||||
\(928\) | 13.2247 | − | 16.0159i | 0.434122 | − | 0.525747i | ||||
\(929\) | 4.50031 | + | 7.79477i | 0.147650 | + | 0.255738i | 0.930359 | − | 0.366651i | \(-0.119496\pi\) |
−0.782708 | + | 0.622389i | \(0.786162\pi\) | |||||||
\(930\) | −5.59242 | + | 5.58122i | −0.183383 | + | 0.183015i | ||||
\(931\) | 8.31092 | + | 31.0168i | 0.272379 | + | 1.01653i | ||||
\(932\) | 16.9473 | − | 16.4697i | 0.555129 | − | 0.539482i | ||||
\(933\) | 13.6081 | + | 10.3097i | 0.445510 | + | 0.337523i | ||||
\(934\) | 22.0466 | − | 8.94793i | 0.721385 | − | 0.292785i | ||||
\(935\) | − | 28.6501i | − | 0.936960i | ||||||
\(936\) | 27.4284 | − | 11.0682i | 0.896526 | − | 0.361777i | ||||
\(937\) | 59.2265i | 1.93485i | 0.253166 | + | 0.967423i | \(0.418528\pi\) | ||||
−0.253166 | + | 0.967423i | \(0.581472\pi\) | |||||||
\(938\) | 10.1378 | + | 24.9781i | 0.331009 | + | 0.815565i | ||||
\(939\) | 15.5878 | − | 6.56917i | 0.508689 | − | 0.214377i | ||||
\(940\) | −0.743188 | + | 51.9921i | −0.0242401 | + | 1.69580i | ||||
\(941\) | −2.95446 | − | 11.0262i | −0.0963126 | − | 0.359443i | 0.900903 | − | 0.434021i | \(-0.142906\pi\) |
−0.997215 | + | 0.0745778i | \(0.976239\pi\) | |||||||
\(942\) | −5.86906 | + | 21.8161i | −0.191224 | + | 0.710808i | ||||
\(943\) | 3.28347 | + | 5.68714i | 0.106925 | + | 0.185199i | ||||
\(944\) | −4.60313 | − | 19.3788i | −0.149819 | − | 0.630725i | ||||
\(945\) | 17.8436 | − | 7.77939i | 0.580452 | − | 0.253064i | ||||
\(946\) | 7.24495 | + | 9.58283i | 0.235554 | + | 0.311565i | ||||
\(947\) | 8.32058 | + | 2.22949i | 0.270382 | + | 0.0724488i | 0.391463 | − | 0.920194i | \(-0.371969\pi\) |
−0.121080 | + | 0.992643i | \(0.538636\pi\) | |||||||
\(948\) | 1.93803 | − | 4.57304i | 0.0629442 | − | 0.148526i | ||||
\(949\) | 1.94348 | − | 0.520755i | 0.0630882 | − | 0.0169044i | ||||
\(950\) | 16.0971 | − | 20.6706i | 0.522259 | − | 0.670642i | ||||
\(951\) | 21.2750 | + | 8.65964i | 0.689889 | + | 0.280808i | ||||
\(952\) | 22.1914 | + | 17.7968i | 0.719228 | + | 0.576796i | ||||
\(953\) | 43.5260i | 1.40995i | 0.709234 | + | 0.704973i | \(0.249041\pi\) | ||||
−0.709234 | + | 0.704973i | \(0.750959\pi\) | |||||||
\(954\) | 6.28376 | + | 45.9048i | 0.203444 | + | 1.48622i | ||||
\(955\) | 44.2637 | + | 44.2637i | 1.43234 | + | 1.43234i | ||||
\(956\) | −6.80079 | + | 1.71847i | −0.219953 | + | 0.0555794i | ||||
\(957\) | −5.10367 | + | 6.73653i | −0.164978 | + | 0.217761i | ||||
\(958\) | −2.61109 | − | 20.9914i | −0.0843606 | − | 0.678201i | ||||
\(959\) | 4.70633 | − | 8.15160i | 0.151975 | − | 0.263229i | ||||
\(960\) | 25.0315 | − | 30.2527i | 0.807888 | − | 0.976402i | ||||
\(961\) | 14.8522 | + | 25.7247i | 0.479103 | + | 0.829830i | ||||
\(962\) | 12.5687 | − | 9.50238i | 0.405232 | − | 0.306369i | ||||
\(963\) | 4.10520 | + | 6.91283i | 0.132288 | + | 0.222763i | ||||
\(964\) | 4.75014 | − | 16.7655i | 0.152992 | − | 0.539980i | ||||
\(965\) | 11.5982 | − | 43.2852i | 0.373361 | − | 1.39340i | ||||
\(966\) | −11.2004 | − | 6.48153i | −0.360367 | − | 0.208540i | ||||
\(967\) | −26.2267 | − | 15.1420i | −0.843393 | − | 0.486933i | 0.0150229 | − | 0.999887i | \(-0.495218\pi\) |
−0.858416 | + | 0.512954i | \(0.828551\pi\) | |||||||
\(968\) | −3.96334 | + | 25.8149i | −0.127387 | + | 0.829723i | ||||
\(969\) | 63.6090 | − | 49.4328i | 2.04341 | − | 1.58801i | ||||
\(970\) | −1.95604 | − | 4.81942i | −0.0628045 | − | 0.154742i | ||||
\(971\) | 9.06755 | + | 9.06755i | 0.290992 | + | 0.290992i | 0.837472 | − | 0.546480i | \(-0.184033\pi\) |
−0.546480 | + | 0.837472i | \(0.684033\pi\) | |||||||
\(972\) | −4.57660 | − | 30.8392i | −0.146795 | − | 0.989167i | ||||
\(973\) | −3.94005 | + | 3.94005i | −0.126312 | + | 0.126312i | ||||
\(974\) | 14.8840 | − | 35.2191i | 0.476914 | − | 1.12849i | ||||
\(975\) | 11.2261 | + | 14.4456i | 0.359524 | + | 0.462628i | ||||
\(976\) | −11.7736 | + | 39.3987i | −0.376865 | + | 1.26112i | ||||
\(977\) | 10.4475 | − | 18.0956i | 0.334246 | − | 0.578931i | −0.649094 | − | 0.760708i | \(-0.724852\pi\) |
0.983340 | + | 0.181778i | \(0.0581851\pi\) | |||||||
\(978\) | 34.8261 | − | 9.29420i | 1.11361 | − | 0.297196i | ||||
\(979\) | 20.8100 | + | 5.57603i | 0.665092 | + | 0.178211i | ||||
\(980\) | −25.9899 | + | 14.5140i | −0.830218 | + | 0.463633i | ||||
\(981\) | −31.4912 | + | 18.7011i | −1.00544 | + | 0.597081i | ||||
\(982\) | 7.85781 | + | 1.09168i | 0.250753 | + | 0.0348371i | ||||
\(983\) | −1.14158 | + | 0.659092i | −0.0364108 | + | 0.0210218i | −0.518095 | − | 0.855323i | \(-0.673359\pi\) |
0.481684 | + | 0.876345i | \(0.340025\pi\) | |||||||
\(984\) | −2.20227 | + | 7.74325i | −0.0702059 | + | 0.246846i | ||||
\(985\) | 4.15128 | + | 2.39674i | 0.132271 | + | 0.0763665i | ||||
\(986\) | 31.1676 | + | 24.2716i | 0.992577 | + | 0.772964i | ||||
\(987\) | 16.7446 | + | 12.6859i | 0.532986 | + | 0.403796i | ||||
\(988\) | −10.4415 | − | 41.3219i | −0.332189 | − | 1.31463i | ||||
\(989\) | −18.0626 | + | 18.0626i | −0.574357 | + | 0.574357i | ||||
\(990\) | −9.66117 | + | 12.7256i | −0.307052 | + | 0.404447i | ||||
\(991\) | 2.51185 | 0.0797914 | 0.0398957 | − | 0.999204i | \(-0.487297\pi\) | ||||
0.0398957 | + | 0.999204i | \(0.487297\pi\) | |||||||
\(992\) | 3.73479 | + | 5.24514i | 0.118580 | + | 0.166533i | ||||
\(993\) | −0.691664 | + | 1.69928i | −0.0219493 | + | 0.0539250i | ||||
\(994\) | −1.81734 | − | 14.6101i | −0.0576424 | − | 0.463405i | ||||
\(995\) | 4.68788 | + | 17.4954i | 0.148616 | + | 0.554641i | ||||
\(996\) | −4.44530 | − | 10.9842i | −0.140855 | − | 0.348049i | ||||
\(997\) | 11.9030 | − | 44.4227i | 0.376973 | − | 1.40688i | −0.473468 | − | 0.880811i | \(-0.656998\pi\) |
0.850441 | − | 0.526071i | \(-0.176335\pi\) | |||||||
\(998\) | −4.27192 | + | 30.7487i | −0.135225 | + | 0.973334i | ||||
\(999\) | −6.63757 | − | 15.2246i | −0.210003 | − | 0.481685i |
(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 | 144.2.x.e.85.17 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.2 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.18 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.12 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.7 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.5 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.11 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.7 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.11 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.14 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.12 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.14 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.2 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.17 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.5 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.18 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.7 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.17 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.17 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.7 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.2 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.12 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.12 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.2 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.18 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.11 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.11 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.18 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.14 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.5 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.5 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.14 | 72 | 36.11 | even | 6 |