Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,2,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), degree \(18\), 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: | \(1.29357651274\) |
Analytic rank: | \(0\) |
Dimension: | \(90\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 31.4 | ||
Character | \(\chi\) | \(=\) | 162.31 |
Dual form | 162.2.g.b.115.4 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{10}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.396080 | + | 0.918216i | 0.280071 | + | 0.649277i | ||||
\(3\) | 0.360138 | + | 1.69420i | 0.207926 | + | 0.978145i | ||||
\(4\) | −0.686242 | + | 0.727374i | −0.343121 | + | 0.363687i | ||||
\(5\) | −0.0437737 | + | 0.751566i | −0.0195762 | + | 0.336110i | 0.974273 | + | 0.225370i | \(0.0723592\pi\) |
−0.993849 | + | 0.110740i | \(0.964678\pi\) | |||||||
\(6\) | −1.41299 | + | 1.00172i | −0.576853 | + | 0.408951i | ||||
\(7\) | −2.40536 | + | 0.570080i | −0.909140 | + | 0.215470i | −0.658474 | − | 0.752603i | \(-0.728798\pi\) |
−0.250666 | + | 0.968074i | \(0.580650\pi\) | |||||||
\(8\) | −0.939693 | − | 0.342020i | −0.332232 | − | 0.120922i | ||||
\(9\) | −2.74060 | + | 1.22029i | −0.913534 | + | 0.406763i | ||||
\(10\) | −0.707437 | + | 0.257486i | −0.223711 | + | 0.0814243i | ||||
\(11\) | 5.40006 | − | 3.55167i | 1.62818 | − | 1.07087i | 0.690519 | − | 0.723314i | \(-0.257382\pi\) |
0.937659 | − | 0.347556i | \(-0.112988\pi\) | |||||||
\(12\) | −1.47946 | − | 0.900673i | −0.427082 | − | 0.260002i | ||||
\(13\) | 3.28090 | − | 0.383482i | 0.909957 | − | 0.106359i | 0.351782 | − | 0.936082i | \(-0.385576\pi\) |
0.558175 | + | 0.829723i | \(0.311502\pi\) | |||||||
\(14\) | −1.47617 | − | 1.98284i | −0.394523 | − | 0.529937i | ||||
\(15\) | −1.28906 | + | 0.196506i | −0.332835 | + | 0.0507376i | ||||
\(16\) | −0.0581448 | − | 0.998308i | −0.0145362 | − | 0.249577i | ||||
\(17\) | 2.19427 | + | 1.84121i | 0.532189 | + | 0.446559i | 0.868856 | − | 0.495064i | \(-0.164855\pi\) |
−0.336668 | + | 0.941623i | \(0.609300\pi\) | |||||||
\(18\) | −2.20598 | − | 2.03313i | −0.519956 | − | 0.479214i | ||||
\(19\) | −6.15342 | + | 5.16333i | −1.41169 | + | 1.18455i | −0.456073 | + | 0.889943i | \(0.650744\pi\) |
−0.955619 | + | 0.294607i | \(0.904811\pi\) | |||||||
\(20\) | −0.516630 | − | 0.547595i | −0.115522 | − | 0.122446i | ||||
\(21\) | −1.83209 | − | 3.86984i | −0.399795 | − | 0.844469i | ||||
\(22\) | 5.40006 | + | 3.55167i | 1.15130 | + | 0.757219i | ||||
\(23\) | 0.848522 | + | 0.201103i | 0.176929 | + | 0.0419329i | 0.318125 | − | 0.948049i | \(-0.396947\pi\) |
−0.141196 | + | 0.989982i | \(0.545095\pi\) | |||||||
\(24\) | 0.241030 | − | 1.71520i | 0.0492001 | − | 0.350113i | ||||
\(25\) | 4.40326 | + | 0.514667i | 0.880651 | + | 0.102933i | ||||
\(26\) | 1.65162 | + | 2.86068i | 0.323909 | + | 0.561026i | ||||
\(27\) | −3.05440 | − | 4.20365i | −0.587820 | − | 0.808992i | ||||
\(28\) | 1.23600 | − | 2.14081i | 0.233581 | − | 0.404575i | ||||
\(29\) | 4.55741 | − | 6.12166i | 0.846290 | − | 1.13676i | −0.142844 | − | 0.989745i | \(-0.545625\pi\) |
0.989134 | − | 0.147019i | \(-0.0469679\pi\) | |||||||
\(30\) | −0.691007 | − | 1.10581i | −0.126160 | − | 0.201892i | ||||
\(31\) | −0.595377 | − | 1.98870i | −0.106933 | − | 0.357181i | 0.887729 | − | 0.460366i | \(-0.152282\pi\) |
−0.994662 | + | 0.103185i | \(0.967097\pi\) | |||||||
\(32\) | 0.893633 | − | 0.448799i | 0.157973 | − | 0.0793372i | ||||
\(33\) | 7.96200 | + | 7.86966i | 1.38601 | + | 1.36993i | ||||
\(34\) | −0.821524 | + | 2.74408i | −0.140890 | + | 0.470606i | ||||
\(35\) | −0.323161 | − | 1.83274i | −0.0546242 | − | 0.309789i | ||||
\(36\) | 0.993110 | − | 2.83085i | 0.165518 | − | 0.471809i | ||||
\(37\) | 0.250792 | − | 1.42231i | 0.0412299 | − | 0.233826i | −0.957228 | − | 0.289333i | \(-0.906566\pi\) |
0.998458 | + | 0.0555070i | \(0.0176775\pi\) | |||||||
\(38\) | −7.17830 | − | 3.60508i | −1.16447 | − | 0.584821i | ||||
\(39\) | 1.83127 | + | 5.42038i | 0.293238 | + | 0.867955i | ||||
\(40\) | 0.298184 | − | 0.691269i | 0.0471471 | − | 0.109299i | ||||
\(41\) | 0.924810 | − | 2.14395i | 0.144431 | − | 0.334829i | −0.830610 | − | 0.556855i | \(-0.812008\pi\) |
0.975041 | + | 0.222026i | \(0.0712671\pi\) | |||||||
\(42\) | 2.82770 | − | 3.21502i | 0.436323 | − | 0.496088i | ||||
\(43\) | −2.95224 | − | 1.48267i | −0.450213 | − | 0.226105i | 0.209220 | − | 0.977869i | \(-0.432907\pi\) |
−0.659433 | + | 0.751763i | \(0.729204\pi\) | |||||||
\(44\) | −1.12235 | + | 6.36517i | −0.169201 | + | 0.959585i | ||||
\(45\) | −0.797160 | − | 2.11316i | −0.118834 | − | 0.315011i | ||||
\(46\) | 0.151426 | + | 0.858779i | 0.0223265 | + | 0.126620i | ||||
\(47\) | 1.12797 | − | 3.76767i | 0.164531 | − | 0.549571i | −0.835469 | − | 0.549537i | \(-0.814804\pi\) |
1.00000 | 3.36408e-5i | \(-1.07082e-5\pi\) | ||||||||
\(48\) | 1.67039 | − | 0.458037i | 0.241100 | − | 0.0661120i | ||||
\(49\) | −0.794670 | + | 0.399098i | −0.113524 | + | 0.0570140i | ||||
\(50\) | 1.27147 | + | 4.24699i | 0.179812 | + | 0.600615i | ||||
\(51\) | −2.32913 | + | 4.38061i | −0.326144 | + | 0.613408i | ||||
\(52\) | −1.97255 | + | 2.64960i | −0.273544 | + | 0.367433i | ||||
\(53\) | 1.31352 | − | 2.27508i | 0.180425 | − | 0.312506i | −0.761600 | − | 0.648047i | \(-0.775586\pi\) |
0.942025 | + | 0.335541i | \(0.108919\pi\) | |||||||
\(54\) | 2.65007 | − | 4.46958i | 0.360629 | − | 0.608233i | ||||
\(55\) | 2.43293 | + | 4.21397i | 0.328057 | + | 0.568211i | ||||
\(56\) | 2.45528 | + | 0.286981i | 0.328100 | + | 0.0383494i | ||||
\(57\) | −10.9638 | − | 8.56559i | −1.45219 | − | 1.13454i | ||||
\(58\) | 7.42611 | + | 1.76002i | 0.975096 | + | 0.231102i | ||||
\(59\) | −5.98538 | − | 3.93664i | −0.779230 | − | 0.512507i | 0.0964862 | − | 0.995334i | \(-0.469240\pi\) |
−0.875716 | + | 0.482827i | \(0.839610\pi\) | |||||||
\(60\) | 0.741676 | − | 1.07248i | 0.0957500 | − | 0.138457i | ||||
\(61\) | −6.33431 | − | 6.71397i | −0.811025 | − | 0.859636i | 0.181283 | − | 0.983431i | \(-0.441975\pi\) |
−0.992308 | + | 0.123795i | \(0.960493\pi\) | |||||||
\(62\) | 1.59024 | − | 1.33437i | 0.201960 | − | 0.169465i | ||||
\(63\) | 5.89647 | − | 4.49759i | 0.742885 | − | 0.566644i | ||||
\(64\) | 0.766044 | + | 0.642788i | 0.0957556 | + | 0.0803485i | ||||
\(65\) | 0.144595 | + | 2.48260i | 0.0179348 | + | 0.307928i | ||||
\(66\) | −4.07247 | + | 10.4278i | −0.501286 | + | 1.28358i | ||||
\(67\) | 5.81744 | + | 7.81417i | 0.710713 | + | 0.954653i | 0.999997 | − | 0.00259034i | \(-0.000824532\pi\) |
−0.289284 | + | 0.957243i | \(0.593417\pi\) | |||||||
\(68\) | −2.84505 | + | 0.332538i | −0.345013 | + | 0.0403262i | ||||
\(69\) | −0.0351238 | + | 1.50999i | −0.00422841 | + | 0.181781i | ||||
\(70\) | 1.55485 | − | 1.02264i | 0.185840 | − | 0.122229i | ||||
\(71\) | −14.3396 | + | 5.21918i | −1.70180 | + | 0.619403i | −0.996028 | − | 0.0890401i | \(-0.971620\pi\) |
−0.705768 | + | 0.708443i | \(0.749398\pi\) | |||||||
\(72\) | 2.99269 | − | 0.209355i | 0.352691 | − | 0.0246727i | ||||
\(73\) | −0.790323 | − | 0.287654i | −0.0925003 | − | 0.0336674i | 0.295355 | − | 0.955387i | \(-0.404562\pi\) |
−0.387856 | + | 0.921720i | \(0.626784\pi\) | |||||||
\(74\) | 1.40532 | − | 0.333067i | 0.163365 | − | 0.0387183i | ||||
\(75\) | 0.713832 | + | 7.64533i | 0.0824263 | + | 0.882807i | ||||
\(76\) | 0.467061 | − | 8.01913i | 0.0535756 | − | 0.919857i | ||||
\(77\) | −10.9643 | + | 11.6215i | −1.24950 | + | 1.32439i | ||||
\(78\) | −4.25175 | + | 3.82840i | −0.481416 | + | 0.433481i | ||||
\(79\) | −5.40670 | − | 12.5341i | −0.608302 | − | 1.41020i | −0.892329 | − | 0.451386i | \(-0.850930\pi\) |
0.284027 | − | 0.958816i | \(-0.408329\pi\) | |||||||
\(80\) | 0.752839 | 0.0841700 | ||||||||
\(81\) | 6.02179 | − | 6.68865i | 0.669088 | − | 0.743183i | ||||
\(82\) | 2.33491 | 0.257848 | ||||||||
\(83\) | 4.33897 | + | 10.0589i | 0.476264 | + | 1.10410i | 0.971862 | + | 0.235552i | \(0.0756897\pi\) |
−0.495598 | + | 0.868552i | \(0.665051\pi\) | |||||||
\(84\) | 4.07208 | + | 1.32303i | 0.444300 | + | 0.144355i | ||||
\(85\) | −1.47984 | + | 1.56854i | −0.160511 | + | 0.170132i | ||||
\(86\) | 0.192090 | − | 3.29805i | 0.0207136 | − | 0.355638i | ||||
\(87\) | 12.0126 | + | 5.51650i | 1.28789 | + | 0.591431i | ||||
\(88\) | −6.28914 | + | 1.49055i | −0.670424 | + | 0.158893i | ||||
\(89\) | 5.63087 | + | 2.04947i | 0.596871 | + | 0.217243i | 0.622749 | − | 0.782422i | \(-0.286016\pi\) |
−0.0258778 | + | 0.999665i | \(0.508238\pi\) | |||||||
\(90\) | 1.62460 | − | 1.56894i | 0.171248 | − | 0.165381i | ||||
\(91\) | −7.67312 | + | 2.79279i | −0.804362 | + | 0.292764i | ||||
\(92\) | −0.728568 | + | 0.479187i | −0.0759585 | + | 0.0499587i | ||||
\(93\) | 3.15483 | − | 1.72489i | 0.327140 | − | 0.178863i | ||||
\(94\) | 3.90630 | − | 0.456581i | 0.402904 | − | 0.0470927i | ||||
\(95\) | −3.61122 | − | 4.85072i | −0.370504 | − | 0.497673i | ||||
\(96\) | 1.08218 | + | 1.35236i | 0.110450 | + | 0.138025i | ||||
\(97\) | 0.314846 | + | 5.40570i | 0.0319678 | + | 0.548866i | 0.975831 | + | 0.218528i | \(0.0701256\pi\) |
−0.943863 | + | 0.330338i | \(0.892837\pi\) | |||||||
\(98\) | −0.681211 | − | 0.571604i | −0.0688127 | − | 0.0577407i | ||||
\(99\) | −10.4653 | + | 16.3233i | −1.05181 | + | 1.64056i | ||||
\(100\) | −3.39605 | + | 2.84963i | −0.339605 | + | 0.284963i | ||||
\(101\) | −1.59205 | − | 1.68748i | −0.158415 | − | 0.167910i | 0.643305 | − | 0.765610i | \(-0.277563\pi\) |
−0.801720 | + | 0.597700i | \(0.796081\pi\) | |||||||
\(102\) | −4.94487 | − | 0.403575i | −0.489615 | − | 0.0399599i | ||||
\(103\) | −13.1592 | − | 8.65495i | −1.29662 | − | 0.852797i | −0.301689 | − | 0.953406i | \(-0.597551\pi\) |
−0.994926 | + | 0.100609i | \(0.967921\pi\) | |||||||
\(104\) | −3.21419 | − | 0.761778i | −0.315178 | − | 0.0746985i | ||||
\(105\) | 2.98864 | − | 1.20754i | 0.291661 | − | 0.117844i | ||||
\(106\) | 2.60927 | + | 0.304980i | 0.253435 | + | 0.0296223i | ||||
\(107\) | 2.27898 | + | 3.94731i | 0.220317 | + | 0.381601i | 0.954904 | − | 0.296914i | \(-0.0959573\pi\) |
−0.734587 | + | 0.678515i | \(0.762624\pi\) | |||||||
\(108\) | 5.15368 | + | 0.663025i | 0.495913 | + | 0.0637996i | ||||
\(109\) | −1.42487 | + | 2.46795i | −0.136478 | + | 0.236387i | −0.926161 | − | 0.377128i | \(-0.876912\pi\) |
0.789683 | + | 0.613515i | \(0.210245\pi\) | |||||||
\(110\) | −2.90570 | + | 3.90303i | −0.277047 | + | 0.372139i | ||||
\(111\) | 2.49999 | − | 0.0873373i | 0.237289 | − | 0.00828969i | ||||
\(112\) | 0.708975 | + | 2.36814i | 0.0669919 | + | 0.223768i | ||||
\(113\) | 4.81742 | − | 2.41940i | 0.453185 | − | 0.227598i | −0.207540 | − | 0.978227i | \(-0.566546\pi\) |
0.660724 | + | 0.750629i | \(0.270249\pi\) | |||||||
\(114\) | 3.52253 | − | 13.4598i | 0.329915 | − | 1.26062i | ||||
\(115\) | −0.188285 | + | 0.628917i | −0.0175577 | + | 0.0586468i | ||||
\(116\) | 1.32525 | + | 7.51588i | 0.123047 | + | 0.697832i | ||||
\(117\) | −8.52368 | + | 5.05461i | −0.788014 | + | 0.467299i | ||||
\(118\) | 1.24400 | − | 7.05509i | 0.114520 | − | 0.649474i | ||||
\(119\) | −6.32764 | − | 3.17786i | −0.580054 | − | 0.291314i | ||||
\(120\) | 1.27853 | + | 0.256231i | 0.116714 | + | 0.0233906i | ||||
\(121\) | 12.1894 | − | 28.2581i | 1.10812 | − | 2.56892i | ||||
\(122\) | 3.65599 | − | 8.47553i | 0.330997 | − | 0.767338i | ||||
\(123\) | 3.96533 | + | 0.794692i | 0.357542 | + | 0.0716550i | ||||
\(124\) | 1.85510 | + | 0.931666i | 0.166593 | + | 0.0836661i | ||||
\(125\) | −1.23320 | + | 6.99382i | −0.110301 | + | 0.625546i | ||||
\(126\) | 6.46523 | + | 3.63283i | 0.575969 | + | 0.323638i | ||||
\(127\) | 1.58776 | + | 9.00462i | 0.140891 | + | 0.799031i | 0.970575 | + | 0.240798i | \(0.0774092\pi\) |
−0.829685 | + | 0.558233i | \(0.811480\pi\) | |||||||
\(128\) | −0.286803 | + | 0.957990i | −0.0253501 | + | 0.0846751i | ||||
\(129\) | 1.44872 | − | 5.53565i | 0.127553 | − | 0.487386i | ||||
\(130\) | −2.22229 | + | 1.11608i | −0.194908 | + | 0.0978863i | ||||
\(131\) | 3.92922 | + | 13.1245i | 0.343297 | + | 1.14669i | 0.939124 | + | 0.343579i | \(0.111639\pi\) |
−0.595826 | + | 0.803113i | \(0.703175\pi\) | |||||||
\(132\) | −11.1880 | + | 0.390854i | −0.973794 | + | 0.0340195i | ||||
\(133\) | 11.8577 | − | 15.9276i | 1.02819 | − | 1.38110i | ||||
\(134\) | −4.87093 | + | 8.43670i | −0.420784 | + | 0.728820i | ||||
\(135\) | 3.29302 | − | 2.11157i | 0.283418 | − | 0.181735i | ||||
\(136\) | −1.43221 | − | 2.48066i | −0.122811 | − | 0.212715i | ||||
\(137\) | 10.9828 | + | 1.28370i | 0.938323 | + | 0.109674i | 0.571487 | − | 0.820611i | \(-0.306367\pi\) |
0.366836 | + | 0.930286i | \(0.380441\pi\) | |||||||
\(138\) | −1.40041 | + | 0.565824i | −0.119210 | + | 0.0481661i | ||||
\(139\) | −4.26054 | − | 1.00977i | −0.361374 | − | 0.0856472i | 0.0459180 | − | 0.998945i | \(-0.485379\pi\) |
−0.407292 | + | 0.913298i | \(0.633527\pi\) | |||||||
\(140\) | 1.55485 | + | 1.02264i | 0.131409 | + | 0.0864291i | ||||
\(141\) | 6.78939 | + | 0.554116i | 0.571770 | + | 0.0466650i | ||||
\(142\) | −10.4720 | − | 11.0996i | −0.878787 | − | 0.931460i | ||||
\(143\) | 16.3550 | − | 13.7235i | 1.36768 | − | 1.14762i | ||||
\(144\) | 1.37758 | + | 2.66501i | 0.114798 | + | 0.222084i | ||||
\(145\) | 4.40134 | + | 3.69316i | 0.365511 | + | 0.306700i | ||||
\(146\) | −0.0489024 | − | 0.839621i | −0.00404719 | − | 0.0694875i | ||||
\(147\) | −0.962341 | − | 1.20260i | −0.0793726 | − | 0.0991885i | ||||
\(148\) | 0.862447 | + | 1.15847i | 0.0708927 | + | 0.0952255i | ||||
\(149\) | −15.8440 | + | 1.85189i | −1.29799 | + | 0.151713i | −0.736877 | − | 0.676027i | \(-0.763700\pi\) |
−0.561112 | + | 0.827740i | \(0.689626\pi\) | |||||||
\(150\) | −6.73733 | + | 3.68361i | −0.550101 | + | 0.300766i | ||||
\(151\) | 5.99091 | − | 3.94028i | 0.487533 | − | 0.320656i | −0.281833 | − | 0.959463i | \(-0.590942\pi\) |
0.769366 | + | 0.638808i | \(0.220572\pi\) | |||||||
\(152\) | 7.54829 | − | 2.74735i | 0.612247 | − | 0.222840i | ||||
\(153\) | −8.26043 | − | 2.36838i | −0.667816 | − | 0.191473i | ||||
\(154\) | −15.0138 | − | 5.46458i | −1.20985 | − | 0.440349i | ||||
\(155\) | 1.52070 | − | 0.360412i | 0.122146 | − | 0.0289490i | ||||
\(156\) | −5.19933 | − | 2.38767i | −0.416280 | − | 0.191167i | ||||
\(157\) | −0.911131 | + | 15.6435i | −0.0727162 | + | 1.24849i | 0.742704 | + | 0.669619i | \(0.233543\pi\) |
−0.815421 | + | 0.578869i | \(0.803494\pi\) | |||||||
\(158\) | 9.36757 | − | 9.92905i | 0.745244 | − | 0.789912i | ||||
\(159\) | 4.32748 | + | 1.40601i | 0.343191 | + | 0.111504i | ||||
\(160\) | 0.298184 | + | 0.691269i | 0.0235735 | + | 0.0546496i | ||||
\(161\) | −2.15564 | −0.169889 | ||||||||
\(162\) | 8.52673 | + | 2.88007i | 0.669923 | + | 0.226280i | ||||
\(163\) | 15.3379 | 1.20136 | 0.600680 | − | 0.799490i | \(-0.294897\pi\) | ||||
0.600680 | + | 0.799490i | \(0.294897\pi\) | |||||||
\(164\) | 0.924810 | + | 2.14395i | 0.0722156 | + | 0.167414i | ||||
\(165\) | −6.26310 | + | 5.63948i | −0.487581 | + | 0.439033i | ||||
\(166\) | −7.51763 | + | 7.96822i | −0.583481 | + | 0.618454i | ||||
\(167\) | 0.722182 | − | 12.3994i | 0.0558841 | − | 0.959493i | −0.847536 | − | 0.530737i | \(-0.821915\pi\) |
0.903421 | − | 0.428756i | \(-0.141048\pi\) | |||||||
\(168\) | 0.398036 | + | 4.26307i | 0.0307092 | + | 0.328903i | ||||
\(169\) | −2.03235 | + | 0.481676i | −0.156335 | + | 0.0370520i | ||||
\(170\) | −2.02639 | − | 0.737547i | −0.155417 | − | 0.0565673i | ||||
\(171\) | 10.5633 | − | 21.6596i | 0.807797 | − | 1.65635i | ||||
\(172\) | 3.10441 | − | 1.12991i | 0.236709 | − | 0.0861550i | ||||
\(173\) | −3.28114 | + | 2.15804i | −0.249460 | + | 0.164073i | −0.668081 | − | 0.744089i | \(-0.732884\pi\) |
0.418621 | + | 0.908161i | \(0.362514\pi\) | |||||||
\(174\) | −0.307397 | + | 13.2151i | −0.0233037 | + | 1.00184i | ||||
\(175\) | −10.8848 | + | 1.27225i | −0.822815 | + | 0.0961732i | ||||
\(176\) | −3.85965 | − | 5.18441i | −0.290932 | − | 0.390790i | ||||
\(177\) | 4.51389 | − | 11.5581i | 0.339285 | − | 0.868763i | ||||
\(178\) | 0.348418 | + | 5.98211i | 0.0261150 | + | 0.448378i | ||||
\(179\) | −6.40233 | − | 5.37219i | −0.478533 | − | 0.401537i | 0.371363 | − | 0.928488i | \(-0.378891\pi\) |
−0.849895 | + | 0.526951i | \(0.823335\pi\) | |||||||
\(180\) | 2.08410 | + | 0.870304i | 0.155340 | + | 0.0648686i | ||||
\(181\) | −1.40040 | + | 1.17507i | −0.104091 | + | 0.0873425i | −0.693348 | − | 0.720603i | \(-0.743865\pi\) |
0.589257 | + | 0.807946i | \(0.299421\pi\) | |||||||
\(182\) | −5.60355 | − | 5.93942i | −0.415363 | − | 0.440259i | ||||
\(183\) | 9.09356 | − | 13.1495i | 0.672216 | − | 0.972040i | ||||
\(184\) | −0.728568 | − | 0.479187i | −0.0537108 | − | 0.0353261i | ||||
\(185\) | 1.05798 | + | 0.250746i | 0.0777843 | + | 0.0184352i | ||||
\(186\) | 2.83339 | + | 2.21362i | 0.207754 | + | 0.162310i | ||||
\(187\) | 18.3886 | + | 2.14931i | 1.34470 | + | 0.157173i | ||||
\(188\) | 1.96644 | + | 3.40598i | 0.143418 | + | 0.248407i | ||||
\(189\) | 9.74335 | + | 8.37002i | 0.708724 | + | 0.608829i | ||||
\(190\) | 3.02367 | − | 5.23715i | 0.219360 | − | 0.379943i | ||||
\(191\) | 11.9595 | − | 16.0644i | 0.865360 | − | 1.16238i | −0.120149 | − | 0.992756i | \(-0.538337\pi\) |
0.985509 | − | 0.169624i | \(-0.0542553\pi\) | |||||||
\(192\) | −0.813127 | + | 1.52932i | −0.0586824 | + | 0.110369i | ||||
\(193\) | −0.952811 | − | 3.18261i | −0.0685849 | − | 0.229089i | 0.916824 | − | 0.399290i | \(-0.130743\pi\) |
−0.985409 | + | 0.170201i | \(0.945558\pi\) | |||||||
\(194\) | −4.83890 | + | 2.43019i | −0.347413 | + | 0.174477i | ||||
\(195\) | −4.15393 | + | 1.13905i | −0.297469 | + | 0.0815690i | ||||
\(196\) | 0.255042 | − | 0.851900i | 0.0182173 | − | 0.0608500i | ||||
\(197\) | −2.82045 | − | 15.9956i | −0.200949 | − | 1.13964i | −0.903689 | − | 0.428190i | \(-0.859151\pi\) |
0.702740 | − | 0.711447i | \(-0.251960\pi\) | |||||||
\(198\) | −19.1335 | − | 3.14410i | −1.35976 | − | 0.223441i | ||||
\(199\) | 0.723023 | − | 4.10047i | 0.0512538 | − | 0.290675i | −0.948397 | − | 0.317084i | \(-0.897296\pi\) |
0.999651 | + | 0.0264095i | \(0.00840738\pi\) | |||||||
\(200\) | −3.96168 | − | 1.98963i | −0.280133 | − | 0.140688i | ||||
\(201\) | −11.1437 | + | 12.6701i | −0.786013 | + | 0.893677i | ||||
\(202\) | 0.918888 | − | 2.13022i | 0.0646528 | − | 0.149882i | ||||
\(203\) | −7.47236 | + | 17.3229i | −0.524457 | + | 1.21583i | ||||
\(204\) | −1.58799 | − | 4.70031i | −0.111182 | − | 0.329087i | ||||
\(205\) | 1.57084 | + | 0.788904i | 0.109712 | + | 0.0550995i | ||||
\(206\) | 2.73502 | − | 15.5110i | 0.190558 | − | 1.08071i | ||||
\(207\) | −2.57086 | + | 0.484297i | −0.178687 | + | 0.0336609i | ||||
\(208\) | −0.573600 | − | 3.25305i | −0.0397720 | − | 0.225558i | ||||
\(209\) | −14.8903 | + | 49.7372i | −1.02999 | + | 3.44040i | ||||
\(210\) | 2.29252 | + | 2.26593i | 0.158199 | + | 0.156364i | ||||
\(211\) | −15.3028 | + | 7.68535i | −1.05349 | + | 0.529081i | −0.889289 | − | 0.457346i | \(-0.848800\pi\) |
−0.164199 | + | 0.986427i | \(0.552504\pi\) | |||||||
\(212\) | 0.753442 | + | 2.51667i | 0.0517466 | + | 0.172846i | ||||
\(213\) | −14.0065 | − | 22.4144i | −0.959713 | − | 1.53581i | ||||
\(214\) | −2.72183 | + | 3.65605i | −0.186060 | + | 0.249922i | ||||
\(215\) | 1.24356 | − | 2.15390i | 0.0848098 | − | 0.146895i | ||||
\(216\) | 1.43247 | + | 4.99480i | 0.0974670 | + | 0.339853i | ||||
\(217\) | 2.56581 | + | 4.44412i | 0.174179 | + | 0.301687i | ||||
\(218\) | −2.83048 | − | 0.330835i | −0.191704 | − | 0.0224070i | ||||
\(219\) | 0.202717 | − | 1.44256i | 0.0136984 | − | 0.0974790i | ||||
\(220\) | −4.73471 | − | 1.12215i | −0.319214 | − | 0.0756551i | ||||
\(221\) | 7.90525 | + | 5.19936i | 0.531764 | + | 0.349747i | ||||
\(222\) | 1.07039 | + | 2.26094i | 0.0718399 | + | 0.151744i | ||||
\(223\) | 17.8408 | + | 18.9101i | 1.19471 | + | 1.26631i | 0.955381 | + | 0.295375i | \(0.0954446\pi\) |
0.239325 | + | 0.970940i | \(0.423074\pi\) | |||||||
\(224\) | −1.89366 | + | 1.58897i | −0.126525 | + | 0.106167i | ||||
\(225\) | −12.6956 | + | 3.96274i | −0.846374 | + | 0.264183i | ||||
\(226\) | 4.12961 | + | 3.46516i | 0.274698 | + | 0.230499i | ||||
\(227\) | −0.874765 | − | 15.0191i | −0.0580602 | − | 0.996855i | −0.894009 | − | 0.448048i | \(-0.852119\pi\) |
0.835949 | − | 0.548807i | \(-0.184918\pi\) | |||||||
\(228\) | 13.7542 | − | 2.09670i | 0.910893 | − | 0.138857i | ||||
\(229\) | 17.1959 | + | 23.0981i | 1.13634 | + | 1.52637i | 0.815057 | + | 0.579381i | \(0.196706\pi\) |
0.321280 | + | 0.946984i | \(0.395887\pi\) | |||||||
\(230\) | −0.652057 | + | 0.0762146i | −0.0429954 | + | 0.00502544i | ||||
\(231\) | −23.6378 | − | 14.3904i | −1.55525 | − | 0.946818i | ||||
\(232\) | −6.37630 | + | 4.19376i | −0.418624 | + | 0.275334i | ||||
\(233\) | −8.70800 | + | 3.16945i | −0.570480 | + | 0.207638i | −0.611123 | − | 0.791536i | \(-0.709282\pi\) |
0.0406425 | + | 0.999174i | \(0.487060\pi\) | |||||||
\(234\) | −8.01728 | − | 5.82455i | −0.524106 | − | 0.380763i | ||||
\(235\) | 2.78227 | + | 1.01266i | 0.181496 | + | 0.0660590i | ||||
\(236\) | 6.97083 | − | 1.65212i | 0.453762 | − | 0.107544i | ||||
\(237\) | 19.2881 | − | 13.6740i | 1.25290 | − | 0.888224i | ||||
\(238\) | 0.411713 | − | 7.06883i | 0.0266874 | − | 0.458204i | ||||
\(239\) | −1.60822 | + | 1.70461i | −0.104027 | + | 0.110262i | −0.777295 | − | 0.629137i | \(-0.783409\pi\) |
0.673268 | + | 0.739399i | \(0.264890\pi\) | |||||||
\(240\) | 0.271126 | + | 1.27546i | 0.0175011 | + | 0.0823304i | ||||
\(241\) | 4.08841 | + | 9.47800i | 0.263358 | + | 0.610531i | 0.997666 | − | 0.0682847i | \(-0.0217526\pi\) |
−0.734308 | + | 0.678816i | \(0.762493\pi\) | |||||||
\(242\) | 30.7750 | 1.97829 | ||||||||
\(243\) | 13.5006 | + | 7.79327i | 0.866061 | + | 0.499938i | ||||
\(244\) | 9.23043 | 0.590918 | ||||||||
\(245\) | −0.265163 | − | 0.614716i | −0.0169406 | − | 0.0392728i | ||||
\(246\) | 0.840889 | + | 3.95579i | 0.0536131 | + | 0.252212i | ||||
\(247\) | −18.2087 | + | 19.3001i | −1.15859 | + | 1.22804i | ||||
\(248\) | −0.120703 | + | 2.07240i | −0.00766467 | + | 0.131597i | ||||
\(249\) | −15.4791 | + | 10.9736i | −0.980946 | + | 0.695426i | ||||
\(250\) | −6.91028 | + | 1.63777i | −0.437045 | + | 0.103581i | ||||
\(251\) | −5.31647 | − | 1.93504i | −0.335572 | − | 0.122138i | 0.168738 | − | 0.985661i | \(-0.446031\pi\) |
−0.504310 | + | 0.863523i | \(0.668253\pi\) | |||||||
\(252\) | −0.774970 | + | 7.37537i | −0.0488185 | + | 0.464605i | ||||
\(253\) | 5.29632 | − | 1.92770i | 0.332977 | − | 0.121194i | ||||
\(254\) | −7.63931 | + | 5.02445i | −0.479333 | + | 0.315262i | ||||
\(255\) | −3.19036 | − | 1.94225i | −0.199788 | − | 0.121629i | ||||
\(256\) | −0.993238 | + | 0.116093i | −0.0620774 | + | 0.00725581i | ||||
\(257\) | −0.549578 | − | 0.738211i | −0.0342817 | − | 0.0460483i | 0.784652 | − | 0.619937i | \(-0.212842\pi\) |
−0.818934 | + | 0.573888i | \(0.805434\pi\) | |||||||
\(258\) | 5.65673 | − | 0.862316i | 0.352173 | − | 0.0536854i | ||||
\(259\) | 0.207587 | + | 3.56414i | 0.0128989 | + | 0.221465i | ||||
\(260\) | −1.90500 | − | 1.59849i | −0.118143 | − | 0.0991339i | ||||
\(261\) | −5.01985 | + | 22.3384i | −0.310721 | + | 1.38271i | ||||
\(262\) | −10.4948 | + | 8.80622i | −0.648373 | + | 0.544050i | ||||
\(263\) | −17.1617 | − | 18.1903i | −1.05824 | − | 1.12166i | −0.992302 | − | 0.123840i | \(-0.960479\pi\) |
−0.0659335 | − | 0.997824i | \(-0.521003\pi\) | |||||||
\(264\) | −4.79025 | − | 10.1182i | −0.294819 | − | 0.622734i | ||||
\(265\) | 1.65237 | + | 1.08678i | 0.101504 | + | 0.0667605i | ||||
\(266\) | 19.3216 | + | 4.57930i | 1.18468 | + | 0.280775i | ||||
\(267\) | −1.44431 | + | 10.2779i | −0.0883906 | + | 0.628997i | ||||
\(268\) | −9.67599 | − | 1.13096i | −0.591055 | − | 0.0690844i | ||||
\(269\) | 0.263878 | + | 0.457050i | 0.0160889 | + | 0.0278668i | 0.873958 | − | 0.486002i | \(-0.161545\pi\) |
−0.857869 | + | 0.513869i | \(0.828212\pi\) | |||||||
\(270\) | 3.24318 | + | 2.18735i | 0.197374 | + | 0.133118i | ||||
\(271\) | −10.0670 | + | 17.4365i | −0.611524 | + | 1.05919i | 0.379460 | + | 0.925208i | \(0.376110\pi\) |
−0.990984 | + | 0.133982i | \(0.957224\pi\) | |||||||
\(272\) | 1.71051 | − | 2.29761i | 0.103715 | − | 0.139313i | ||||
\(273\) | −7.49491 | − | 11.9940i | −0.453613 | − | 0.725909i | ||||
\(274\) | 3.17134 | + | 10.5930i | 0.191588 | + | 0.639948i | ||||
\(275\) | 25.6058 | − | 12.8597i | 1.54409 | − | 0.775469i | ||||
\(276\) | −1.07422 | − | 1.06176i | −0.0646605 | − | 0.0639107i | ||||
\(277\) | −6.18487 | + | 20.6589i | −0.371613 | + | 1.24127i | 0.543957 | + | 0.839113i | \(0.316925\pi\) |
−0.915570 | + | 0.402159i | \(0.868260\pi\) | |||||||
\(278\) | −0.760329 | − | 4.31204i | −0.0456015 | − | 0.258619i | ||||
\(279\) | 4.05848 | + | 4.72370i | 0.242975 | + | 0.282800i | ||||
\(280\) | −0.323161 | + | 1.83274i | −0.0193126 | + | 0.109527i | ||||
\(281\) | 13.4228 | + | 6.74121i | 0.800740 | + | 0.402147i | 0.801606 | − | 0.597853i | \(-0.203979\pi\) |
−0.000865851 | 1.00000i | \(0.500276\pi\) | ||||||||
\(282\) | 2.18034 | + | 6.45360i | 0.129837 | + | 0.384306i | ||||
\(283\) | 3.86228 | − | 8.95378i | 0.229589 | − | 0.532247i | −0.764011 | − | 0.645203i | \(-0.776773\pi\) |
0.993600 | + | 0.112956i | \(0.0360320\pi\) | |||||||
\(284\) | 6.04413 | − | 14.0119i | 0.358653 | − | 0.831451i | ||||
\(285\) | 6.91753 | − | 7.86505i | 0.409759 | − | 0.465885i | ||||
\(286\) | 19.0790 | + | 9.58185i | 1.12817 | + | 0.566587i | ||||
\(287\) | −1.00228 | + | 5.68419i | −0.0591625 | + | 0.335527i | ||||
\(288\) | −1.90143 | + | 2.32047i | −0.112043 | + | 0.136735i | ||||
\(289\) | −1.52726 | − | 8.66151i | −0.0898387 | − | 0.509500i | ||||
\(290\) | −1.64784 | + | 5.50416i | −0.0967644 | + | 0.323216i | ||||
\(291\) | −9.04493 | + | 2.48021i | −0.530223 | + | 0.145392i | ||||
\(292\) | 0.751585 | − | 0.377460i | 0.0439832 | − | 0.0220892i | ||||
\(293\) | −3.86265 | − | 12.9022i | −0.225658 | − | 0.753752i | −0.993572 | − | 0.113199i | \(-0.963890\pi\) |
0.767914 | − | 0.640553i | \(-0.221295\pi\) | |||||||
\(294\) | 0.723079 | − | 1.35996i | 0.0421708 | − | 0.0793146i | ||||
\(295\) | 3.22065 | − | 4.32608i | 0.187513 | − | 0.251874i | ||||
\(296\) | −0.722126 | + | 1.25076i | −0.0419727 | + | 0.0726989i | ||||
\(297\) | −31.4239 | − | 11.8517i | −1.82340 | − | 0.687705i | ||||
\(298\) | −7.97592 | − | 13.8147i | −0.462032 | − | 0.800264i | ||||
\(299\) | 2.86103 | + | 0.334407i | 0.165458 | + | 0.0193392i | ||||
\(300\) | −6.05087 | − | 4.72732i | −0.349347 | − | 0.272932i | ||||
\(301\) | 7.94645 | + | 1.88334i | 0.458026 | + | 0.108554i | ||||
\(302\) | 5.99091 | + | 3.94028i | 0.344738 | + | 0.226738i | ||||
\(303\) | 2.28556 | − | 3.30497i | 0.131302 | − | 0.189866i | ||||
\(304\) | 5.51239 | + | 5.84279i | 0.316157 | + | 0.335107i | ||||
\(305\) | 5.32327 | − | 4.46675i | 0.304809 | − | 0.255765i | ||||
\(306\) | −1.09710 | − | 8.52293i | −0.0627170 | − | 0.487223i | ||||
\(307\) | −23.1294 | − | 19.4079i | −1.32007 | − | 1.10767i | −0.986291 | − | 0.165013i | \(-0.947233\pi\) |
−0.333774 | − | 0.942653i | \(-0.608322\pi\) | |||||||
\(308\) | −0.929001 | − | 15.9503i | −0.0529348 | − | 0.908855i | ||||
\(309\) | 9.92405 | − | 25.4113i | 0.564560 | − | 1.44560i | ||||
\(310\) | 0.933255 | + | 1.25358i | 0.0530053 | + | 0.0711985i | ||||
\(311\) | 29.5360 | − | 3.45226i | 1.67483 | − | 0.195760i | 0.774989 | − | 0.631975i | \(-0.217756\pi\) |
0.899842 | + | 0.436215i | \(0.143681\pi\) | |||||||
\(312\) | 0.133049 | − | 5.71982i | 0.00753241 | − | 0.323821i | ||||
\(313\) | −5.66875 | + | 3.72839i | −0.320416 | + | 0.210741i | −0.699520 | − | 0.714613i | \(-0.746603\pi\) |
0.379104 | + | 0.925354i | \(0.376232\pi\) | |||||||
\(314\) | −14.7250 | + | 5.35946i | −0.830980 | + | 0.302452i | ||||
\(315\) | 3.12213 | + | 4.62846i | 0.175912 | + | 0.260784i | ||||
\(316\) | 12.8273 | + | 4.66876i | 0.721593 | + | 0.262638i | ||||
\(317\) | 2.66487 | − | 0.631586i | 0.149674 | − | 0.0354734i | −0.155096 | − | 0.987899i | \(-0.549569\pi\) |
0.304770 | + | 0.952426i | \(0.401420\pi\) | |||||||
\(318\) | 0.423001 | + | 4.53045i | 0.0237207 | + | 0.254055i | ||||
\(319\) | 2.86812 | − | 49.2438i | 0.160584 | − | 2.75712i | ||||
\(320\) | −0.516630 | + | 0.547595i | −0.0288805 | + | 0.0306115i | ||||
\(321\) | −5.86677 | + | 5.28262i | −0.327451 | + | 0.294847i | ||||
\(322\) | −0.853807 | − | 1.97935i | −0.0475808 | − | 0.110305i | ||||
\(323\) | −23.0090 | −1.28026 | ||||||||
\(324\) | 0.732739 | + | 8.97012i | 0.0407077 | + | 0.498340i | ||||
\(325\) | 14.6440 | 0.812303 | ||||||||
\(326\) | 6.07504 | + | 14.0835i | 0.336465 | + | 0.780015i | ||||
\(327\) | −4.69435 | − | 1.52521i | −0.259598 | − | 0.0843444i | ||||
\(328\) | −1.60231 | + | 1.69835i | −0.0884729 | + | 0.0937758i | ||||
\(329\) | −0.565288 | + | 9.70562i | −0.0311653 | + | 0.535088i | ||||
\(330\) | −7.65894 | − | 3.51719i | −0.421611 | − | 0.193615i | ||||
\(331\) | −13.3505 | + | 3.16413i | −0.733811 | + | 0.173916i | −0.580498 | − | 0.814261i | \(-0.697142\pi\) |
−0.153313 | + | 0.988178i | \(0.548994\pi\) | |||||||
\(332\) | −10.2941 | − | 3.74676i | −0.564964 | − | 0.205630i | ||||
\(333\) | 1.04831 | + | 4.20402i | 0.0574469 | + | 0.230379i | ||||
\(334\) | 11.6714 | − | 4.24802i | 0.638628 | − | 0.232442i | ||||
\(335\) | −6.12751 | + | 4.03013i | −0.334782 | + | 0.220189i | ||||
\(336\) | −3.75677 | + | 2.05400i | −0.204949 | + | 0.112055i | ||||
\(337\) | −1.17950 | + | 0.137864i | −0.0642515 | + | 0.00750993i | −0.148158 | − | 0.988964i | \(-0.547334\pi\) |
0.0839064 | + | 0.996474i | \(0.473260\pi\) | |||||||
\(338\) | −1.24726 | − | 1.67536i | −0.0678418 | − | 0.0911273i | ||||
\(339\) | 5.83387 | + | 7.29033i | 0.316852 | + | 0.395957i | ||||
\(340\) | −0.125386 | − | 2.15280i | −0.00680002 | − | 0.116752i | ||||
\(341\) | −10.2783 | − | 8.62450i | −0.556600 | − | 0.467043i | ||||
\(342\) | 24.0721 | + | 1.12049i | 1.30167 | + | 0.0605891i | ||||
\(343\) | 14.9395 | − | 12.5358i | 0.806659 | − | 0.676867i | ||||
\(344\) | 2.26710 | + | 2.40298i | 0.122234 | + | 0.129560i | ||||
\(345\) | −1.13332 | − | 0.0924956i | −0.0610157 | − | 0.00497980i | ||||
\(346\) | −3.28114 | − | 2.15804i | −0.176395 | − | 0.116017i | ||||
\(347\) | −4.86042 | − | 1.15194i | −0.260921 | − | 0.0618394i | 0.0980732 | − | 0.995179i | \(-0.468732\pi\) |
−0.358994 | + | 0.933340i | \(0.616880\pi\) | |||||||
\(348\) | −12.2561 | + | 4.95199i | −0.656996 | + | 0.265454i | ||||
\(349\) | −30.0872 | − | 3.51669i | −1.61053 | − | 0.188244i | −0.737304 | − | 0.675561i | \(-0.763901\pi\) |
−0.873225 | + | 0.487317i | \(0.837976\pi\) | |||||||
\(350\) | −5.47946 | − | 9.49070i | −0.292889 | − | 0.507299i | ||||
\(351\) | −11.6332 | − | 12.6204i | −0.620934 | − | 0.673628i | ||||
\(352\) | 3.23168 | − | 5.59743i | 0.172249 | − | 0.298344i | ||||
\(353\) | −11.4732 | + | 15.4112i | −0.610659 | + | 0.820258i | −0.994674 | − | 0.103069i | \(-0.967134\pi\) |
0.384015 | + | 0.923327i | \(0.374541\pi\) | |||||||
\(354\) | 12.4007 | − | 0.433220i | 0.659091 | − | 0.0230254i | ||||
\(355\) | −3.29486 | − | 11.0056i | −0.174873 | − | 0.584117i | ||||
\(356\) | −5.35487 | + | 2.68931i | −0.283807 | + | 0.142533i | ||||
\(357\) | 3.10510 | − | 11.8647i | 0.164339 | − | 0.627949i | ||||
\(358\) | 2.39700 | − | 8.00654i | 0.126685 | − | 0.423159i | ||||
\(359\) | −1.66314 | − | 9.43215i | −0.0877773 | − | 0.497810i | −0.996723 | − | 0.0808946i | \(-0.974222\pi\) |
0.908945 | − | 0.416915i | \(-0.136889\pi\) | |||||||
\(360\) | 0.0263428 | + | 2.25836i | 0.00138839 | + | 0.119026i | ||||
\(361\) | 7.90526 | − | 44.8329i | 0.416066 | − | 2.35963i | ||||
\(362\) | −1.63364 | − | 0.820445i | −0.0858622 | − | 0.0431216i | ||||
\(363\) | 52.2646 | + | 10.4744i | 2.74318 | + | 0.549761i | ||||
\(364\) | 3.23421 | − | 7.49775i | 0.169519 | − | 0.392989i | ||||
\(365\) | 0.250786 | − | 0.581388i | 0.0131268 | − | 0.0304312i | ||||
\(366\) | 15.6759 | + | 3.14160i | 0.819391 | + | 0.164214i | ||||
\(367\) | 19.1592 | + | 9.62212i | 1.00010 | + | 0.502271i | 0.872008 | − | 0.489491i | \(-0.162817\pi\) |
0.128095 | + | 0.991762i | \(0.459114\pi\) | |||||||
\(368\) | 0.151426 | − | 0.858779i | 0.00789362 | − | 0.0447670i | ||||
\(369\) | 0.0817014 | + | 7.00425i | 0.00425320 | + | 0.364627i | ||||
\(370\) | 0.188806 | + | 1.07077i | 0.00981555 | + | 0.0556667i | ||||
\(371\) | −1.86250 | + | 6.22119i | −0.0966963 | + | 0.322988i | ||||
\(372\) | −0.910334 | + | 3.47843i | −0.0471986 | + | 0.180348i | ||||
\(373\) | −24.6525 | + | 12.3810i | −1.27646 | + | 0.641062i | −0.952364 | − | 0.304963i | \(-0.901356\pi\) |
−0.324095 | + | 0.946025i | \(0.605060\pi\) | |||||||
\(374\) | 5.30980 | + | 17.7360i | 0.274563 | + | 0.917105i | ||||
\(375\) | −12.2930 | + | 0.429457i | −0.634809 | + | 0.0221771i | ||||
\(376\) | −2.34856 | + | 3.15466i | −0.121118 | + | 0.162689i | ||||
\(377\) | 12.6048 | − | 21.8322i | 0.649183 | − | 1.12442i | ||||
\(378\) | −3.82634 | + | 12.2617i | −0.196806 | + | 0.630673i | ||||
\(379\) | 14.1459 | + | 24.5014i | 0.726625 | + | 1.25855i | 0.958302 | + | 0.285758i | \(0.0922454\pi\) |
−0.231677 | + | 0.972793i | \(0.574421\pi\) | |||||||
\(380\) | 6.00646 | + | 0.702054i | 0.308125 | + | 0.0360146i | ||||
\(381\) | −14.6838 | + | 5.93288i | −0.752273 | + | 0.303950i | ||||
\(382\) | 19.4875 | + | 4.61863i | 0.997068 | + | 0.236309i | ||||
\(383\) | 15.5208 | + | 10.2082i | 0.793077 | + | 0.521615i | 0.880212 | − | 0.474581i | \(-0.157401\pi\) |
−0.0871343 | + | 0.996197i | \(0.527771\pi\) | |||||||
\(384\) | −1.72631 | − | 0.140893i | −0.0880954 | − | 0.00718990i | ||||
\(385\) | −8.25438 | − | 8.74913i | −0.420682 | − | 0.445897i | ||||
\(386\) | 2.54494 | − | 2.13545i | 0.129534 | − | 0.108692i | ||||
\(387\) | 9.90021 | + | 0.460827i | 0.503256 | + | 0.0234252i | ||||
\(388\) | −4.14803 | − | 3.48061i | −0.210584 | − | 0.176701i | ||||
\(389\) | −0.236871 | − | 4.06691i | −0.0120098 | − | 0.206201i | −0.998975 | − | 0.0452664i | \(-0.985586\pi\) |
0.986965 | − | 0.160934i | \(-0.0514507\pi\) | |||||||
\(390\) | −2.69118 | − | 3.36305i | −0.136273 | − | 0.170295i | ||||
\(391\) | 1.49161 | + | 2.00358i | 0.0754340 | + | 0.101326i | ||||
\(392\) | 0.883245 | − | 0.103237i | 0.0446106 | − | 0.00521423i | ||||
\(393\) | −20.8204 | + | 11.3835i | −1.05025 | + | 0.574221i | ||||
\(394\) | 13.5703 | − | 8.92531i | 0.683660 | − | 0.449650i | ||||
\(395\) | 9.65691 | − | 3.51483i | 0.485892 | − | 0.176850i | ||||
\(396\) | −4.69142 | − | 18.8140i | −0.235753 | − | 0.945438i | ||||
\(397\) | 3.32233 | + | 1.20923i | 0.166743 | + | 0.0606895i | 0.424043 | − | 0.905642i | \(-0.360611\pi\) |
−0.257300 | + | 0.966332i | \(0.582833\pi\) | |||||||
\(398\) | 4.05149 | − | 0.960221i | 0.203083 | − | 0.0481315i | ||||
\(399\) | 31.2549 | + | 14.3531i | 1.56470 | + | 0.718553i | ||||
\(400\) | 0.257770 | − | 4.42573i | 0.0128885 | − | 0.221287i | ||||
\(401\) | −5.61322 | + | 5.94967i | −0.280311 | + | 0.297112i | −0.852197 | − | 0.523221i | \(-0.824730\pi\) |
0.571886 | + | 0.820333i | \(0.306212\pi\) | |||||||
\(402\) | −16.0476 | − | 5.21394i | −0.800383 | − | 0.260048i | ||||
\(403\) | −2.71600 | − | 6.29640i | −0.135294 | − | 0.313646i | ||||
\(404\) | 2.31996 | 0.115422 | ||||||||
\(405\) | 4.76336 | + | 4.81856i | 0.236693 | + | 0.239436i | ||||
\(406\) | −18.8658 | −0.936294 | ||||||||
\(407\) | −3.69729 | − | 8.57129i | −0.183268 | − | 0.424863i | ||||
\(408\) | 3.68693 | − | 3.31982i | 0.182530 | − | 0.164356i | ||||
\(409\) | −7.12185 | + | 7.54872i | −0.352153 | + | 0.373260i | −0.879100 | − | 0.476638i | \(-0.841855\pi\) |
0.526947 | + | 0.849898i | \(0.323337\pi\) | |||||||
\(410\) | −0.102208 | + | 1.75484i | −0.00504768 | + | 0.0866653i | ||||
\(411\) | 1.78047 | + | 19.0693i | 0.0878241 | + | 0.940620i | ||||
\(412\) | 15.3258 | − | 3.63228i | 0.755047 | − | 0.178949i | ||||
\(413\) | 16.6412 | + | 6.05689i | 0.818859 | + | 0.298040i | ||||
\(414\) | −1.46296 | − | 2.16879i | −0.0719004 | − | 0.106590i | ||||
\(415\) | −7.74983 | + | 2.82071i | −0.380424 | + | 0.138463i | ||||
\(416\) | 2.75981 | − | 1.81516i | 0.135311 | − | 0.0889954i | ||||
\(417\) | 0.176361 | − | 7.58184i | 0.00863645 | − | 0.371284i | ||||
\(418\) | −51.5673 | + | 6.02735i | −2.52224 | + | 0.294807i | ||||
\(419\) | 17.0344 | + | 22.8811i | 0.832183 | + | 1.11782i | 0.991438 | + | 0.130579i | \(0.0416835\pi\) |
−0.159255 | + | 0.987238i | \(0.550909\pi\) | |||||||
\(420\) | −1.17260 | + | 3.00252i | −0.0572169 | + | 0.146508i | ||||
\(421\) | 1.30460 | + | 22.3991i | 0.0635823 | + | 1.09167i | 0.867665 | + | 0.497149i | \(0.165620\pi\) |
−0.804083 | + | 0.594517i | \(0.797343\pi\) | |||||||
\(422\) | −13.1179 | − | 11.0073i | −0.638571 | − | 0.535825i | ||||
\(423\) | 1.50633 | + | 11.7021i | 0.0732405 | + | 0.568976i | ||||
\(424\) | −2.01242 | + | 1.68862i | −0.0977320 | + | 0.0820069i | ||||
\(425\) | 8.71432 | + | 9.23664i | 0.422707 | + | 0.448043i | ||||
\(426\) | 15.0336 | − | 21.7389i | 0.728380 | − | 1.05326i | ||||
\(427\) | 19.0638 | + | 12.5384i | 0.922561 | + | 0.606778i | ||||
\(428\) | −4.43510 | − | 1.05114i | −0.214379 | − | 0.0508087i | ||||
\(429\) | 29.1404 | + | 22.7663i | 1.40691 | + | 1.09917i | ||||
\(430\) | 2.47030 | + | 0.288736i | 0.119128 | + | 0.0139241i | ||||
\(431\) | 8.86370 | + | 15.3524i | 0.426949 | + | 0.739498i | 0.996600 | − | 0.0823886i | \(-0.0262549\pi\) |
−0.569651 | + | 0.821887i | \(0.692922\pi\) | |||||||
\(432\) | −4.01894 | + | 3.29365i | −0.193361 | + | 0.158466i | ||||
\(433\) | 11.5440 | − | 19.9948i | 0.554768 | − | 0.960887i | −0.443153 | − | 0.896446i | \(-0.646140\pi\) |
0.997922 | − | 0.0644409i | \(-0.0205264\pi\) | |||||||
\(434\) | −3.06440 | + | 4.11620i | −0.147096 | + | 0.197584i | ||||
\(435\) | −4.67185 | + | 8.78677i | −0.223998 | + | 0.421294i | ||||
\(436\) | −0.817317 | − | 2.73003i | −0.0391424 | − | 0.130745i | ||||
\(437\) | −6.25967 | + | 3.14373i | −0.299441 | + | 0.150385i | ||||
\(438\) | 1.40487 | − | 0.385230i | 0.0671274 | − | 0.0184070i | ||||
\(439\) | 6.97016 | − | 23.2819i | 0.332667 | − | 1.11119i | −0.614089 | − | 0.789236i | \(-0.710477\pi\) |
0.946757 | − | 0.321950i | \(-0.104338\pi\) | |||||||
\(440\) | −0.844949 | − | 4.79195i | −0.0402814 | − | 0.228447i | ||||
\(441\) | 1.69086 | − | 2.06350i | 0.0805171 | − | 0.0982617i | ||||
\(442\) | −1.64303 | + | 9.31809i | −0.0781510 | + | 0.443216i | ||||
\(443\) | −18.5681 | − | 9.32523i | −0.882195 | − | 0.443055i | −0.0507819 | − | 0.998710i | \(-0.516171\pi\) |
−0.831413 | + | 0.555655i | \(0.812468\pi\) | |||||||
\(444\) | −1.65207 | + | 1.87836i | −0.0784039 | + | 0.0891432i | ||||
\(445\) | −1.78679 | + | 4.14225i | −0.0847022 | + | 0.196362i | ||||
\(446\) | −10.2972 | + | 23.8716i | −0.487587 | + | 1.13035i | ||||
\(447\) | −8.84349 | − | 26.1759i | −0.418283 | − | 1.23808i | ||||
\(448\) | −2.20905 | − | 1.10943i | −0.104368 | − | 0.0524155i | ||||
\(449\) | 0.922756 | − | 5.23321i | 0.0435476 | − | 0.246970i | −0.955261 | − | 0.295763i | \(-0.904426\pi\) |
0.998809 | + | 0.0487924i | \(0.0155373\pi\) | |||||||
\(450\) | −8.66713 | − | 10.0878i | −0.408573 | − | 0.475541i | ||||
\(451\) | −2.62059 | − | 14.8621i | −0.123399 | − | 0.699828i | ||||
\(452\) | −1.54611 | + | 5.16435i | −0.0727227 | + | 0.242911i | ||||
\(453\) | 8.83317 | + | 8.73073i | 0.415018 | + | 0.410206i | ||||
\(454\) | 13.4443 | − | 6.75200i | 0.630974 | − | 0.316887i | ||||
\(455\) | −1.76308 | − | 5.88910i | −0.0826546 | − | 0.276085i | ||||
\(456\) | 7.37297 | + | 11.7989i | 0.345271 | + | 0.552532i | ||||
\(457\) | 3.16891 | − | 4.25659i | 0.148235 | − | 0.199115i | −0.721803 | − | 0.692098i | \(-0.756686\pi\) |
0.870039 | + | 0.492984i | \(0.164094\pi\) | |||||||
\(458\) | −14.3981 | + | 24.9382i | −0.672779 | + | 1.16529i | ||||
\(459\) | 1.03762 | − | 14.8477i | 0.0484318 | − | 0.693033i | ||||
\(460\) | −0.328248 | − | 0.568542i | −0.0153046 | − | 0.0265084i | ||||
\(461\) | −30.8435 | − | 3.60508i | −1.43652 | − | 0.167906i | −0.638078 | − | 0.769972i | \(-0.720270\pi\) |
−0.798446 | + | 0.602066i | \(0.794344\pi\) | |||||||
\(462\) | 3.85103 | − | 27.4043i | 0.179166 | − | 1.27497i | ||||
\(463\) | 19.6765 | + | 4.66342i | 0.914444 | + | 0.216727i | 0.660793 | − | 0.750568i | \(-0.270220\pi\) |
0.253652 | + | 0.967296i | \(0.418368\pi\) | |||||||
\(464\) | −6.37630 | − | 4.19376i | −0.296012 | − | 0.194690i | ||||
\(465\) | 1.15827 | + | 2.44657i | 0.0537135 | + | 0.113457i | ||||
\(466\) | −6.35930 | − | 6.74047i | −0.294589 | − | 0.312246i | ||||
\(467\) | −32.1972 | + | 27.0166i | −1.48991 | + | 1.25018i | −0.595161 | + | 0.803607i | \(0.702912\pi\) |
−0.894747 | + | 0.446574i | \(0.852644\pi\) | |||||||
\(468\) | 2.17271 | − | 9.66858i | 0.100434 | − | 0.446930i | ||||
\(469\) | −18.4477 | − | 15.4795i | −0.851837 | − | 0.714776i | ||||
\(470\) | 0.172157 | + | 2.95582i | 0.00794102 | + | 0.136342i | ||||
\(471\) | −26.8313 | + | 4.09019i | −1.23632 | + | 0.188466i | ||||
\(472\) | 4.27800 | + | 5.74635i | 0.196911 | + | 0.264497i | ||||
\(473\) | −21.2083 | + | 2.47889i | −0.975156 | + | 0.113979i | ||||
\(474\) | 20.1954 | + | 12.2947i | 0.927604 | + | 0.564713i | ||||
\(475\) | −29.7525 | + | 19.5685i | −1.36514 | + | 0.897865i | ||||
\(476\) | 6.65379 | − | 2.42178i | 0.304976 | − | 0.111002i | ||||
\(477\) | −0.823576 | + | 7.83795i | −0.0377090 | + | 0.358875i | ||||
\(478\) | −2.20218 | − | 0.801529i | −0.100725 | − | 0.0366611i | ||||
\(479\) | −14.0288 | + | 3.32489i | −0.640994 | + | 0.151918i | −0.538244 | − | 0.842789i | \(-0.680912\pi\) |
−0.102750 | + | 0.994707i | \(0.532764\pi\) | |||||||
\(480\) | −1.06376 | + | 0.754135i | −0.0485537 | + | 0.0344214i | ||||
\(481\) | 0.277392 | − | 4.76263i | 0.0126480 | − | 0.217157i | ||||
\(482\) | −7.08351 | + | 7.50808i | −0.322645 | + | 0.341984i | ||||
\(483\) | −0.776329 | − | 3.65208i | −0.0353242 | − | 0.166176i | ||||
\(484\) | 12.1894 | + | 28.2581i | 0.554062 | + | 1.28446i | ||||
\(485\) | −4.07652 | −0.185105 | ||||||||
\(486\) | −1.80861 | + | 15.4832i | −0.0820401 | + | 0.702331i | ||||
\(487\) | −28.2131 | −1.27846 | −0.639229 | − | 0.769016i | \(-0.720746\pi\) | ||||
−0.639229 | + | 0.769016i | \(0.720746\pi\) | |||||||
\(488\) | 3.65599 | + | 8.47553i | 0.165499 | + | 0.383669i | ||||
\(489\) | 5.52377 | + | 25.9855i | 0.249793 | + | 1.17510i | ||||
\(490\) | 0.459417 | − | 0.486954i | 0.0207543 | − | 0.0219983i | ||||
\(491\) | 1.26545 | − | 21.7270i | 0.0571091 | − | 0.980526i | −0.841078 | − | 0.540913i | \(-0.818079\pi\) |
0.898187 | − | 0.439613i | \(-0.144884\pi\) | |||||||
\(492\) | −3.29922 | + | 2.33893i | −0.148740 | + | 0.105447i | ||||
\(493\) | 21.2715 | − | 5.04143i | 0.958018 | − | 0.227054i | ||||
\(494\) | −24.9337 | − | 9.07514i | −1.12182 | − | 0.408310i | ||||
\(495\) | −11.8100 | − | 8.57992i | −0.530818 | − | 0.385639i | ||||
\(496\) | −1.95072 | + | 0.710003i | −0.0875897 | + | 0.0318801i | ||||
\(497\) | 31.5165 | − | 20.7287i | 1.41371 | − | 0.929810i | ||||
\(498\) | −16.2071 | − | 9.86669i | −0.726258 | − | 0.442137i | ||||
\(499\) | −25.3260 | + | 2.96018i | −1.13375 | + | 0.132516i | −0.662201 | − | 0.749326i | \(-0.730378\pi\) |
−0.471545 | + | 0.881842i | \(0.656303\pi\) | |||||||
\(500\) | −4.24085 | − | 5.69644i | −0.189656 | − | 0.254753i | ||||
\(501\) | 21.2671 | − | 3.24197i | 0.950143 | − | 0.144840i | ||||
\(502\) | −0.328964 | − | 5.64809i | −0.0146824 | − | 0.252087i | ||||
\(503\) | 26.4766 | + | 22.2165i | 1.18053 | + | 0.990583i | 0.999975 | + | 0.00701864i | \(0.00223412\pi\) |
0.180556 | + | 0.983565i | \(0.442210\pi\) | |||||||
\(504\) | −7.07913 | + | 2.20965i | −0.315330 | + | 0.0984254i | ||||
\(505\) | 1.33794 | − | 1.12266i | 0.0595375 | − | 0.0499579i | ||||
\(506\) | 3.86781 | + | 4.09964i | 0.171945 | + | 0.182251i | ||||
\(507\) | −1.54798 | − | 3.26973i | −0.0687482 | − | 0.145214i | ||||
\(508\) | −7.63931 | − | 5.02445i | −0.338940 | − | 0.222924i | ||||
\(509\) | 12.8322 | + | 3.04128i | 0.568777 | + | 0.134803i | 0.504935 | − | 0.863158i | \(-0.331517\pi\) |
0.0638418 | + | 0.997960i | \(0.479665\pi\) | |||||||
\(510\) | 0.519769 | − | 3.69873i | 0.0230157 | − | 0.163782i | ||||
\(511\) | 2.06500 | + | 0.241363i | 0.0913501 | + | 0.0106773i | ||||
\(512\) | −0.500000 | − | 0.866025i | −0.0220971 | − | 0.0382733i | ||||
\(513\) | 40.4998 | + | 10.0959i | 1.78811 | + | 0.445745i | ||||
\(514\) | 0.460161 | − | 0.797021i | 0.0202968 | − | 0.0351551i | ||||
\(515\) | 7.08079 | − | 9.51115i | 0.312017 | − | 0.419111i | ||||
\(516\) | 3.03231 | + | 4.85255i | 0.133490 | + | 0.213622i | ||||
\(517\) | −7.29045 | − | 24.3518i | −0.320633 | − | 1.07099i | ||||
\(518\) | −3.19043 | + | 1.60229i | −0.140179 | + | 0.0704007i | ||||
\(519\) | −4.83780 | − | 4.78170i | −0.212356 | − | 0.209893i | ||||
\(520\) | 0.713223 | − | 2.38233i | 0.0312769 | − | 0.104472i | ||||
\(521\) | −1.16259 | − | 6.59340i | −0.0509342 | − | 0.288862i | 0.948692 | − | 0.316202i | \(-0.102408\pi\) |
−0.999626 | + | 0.0273394i | \(0.991297\pi\) | |||||||
\(522\) | −22.4997 | + | 4.23848i | −0.984787 | + | 0.185513i | ||||
\(523\) | −4.33148 | + | 24.5651i | −0.189402 | + | 1.07415i | 0.730765 | + | 0.682629i | \(0.239164\pi\) |
−0.920167 | + | 0.391525i | \(0.871947\pi\) | |||||||
\(524\) | −12.2428 | − | 6.14857i | −0.534829 | − | 0.268601i | ||||
\(525\) | −6.07548 | − | 17.9828i | −0.265156 | − | 0.784835i | ||||
\(526\) | 9.90526 | − | 22.9630i | 0.431890 | − | 1.00123i | ||||
\(527\) | 2.35520 | − | 5.45996i | 0.102594 | − | 0.237839i | ||||
\(528\) | 7.39340 | − | 8.40611i | 0.321757 | − | 0.365829i | ||||
\(529\) | −19.8740 | − | 9.98110i | −0.864087 | − | 0.433961i | ||||
\(530\) | −0.343430 | + | 1.94769i | −0.0149176 | + | 0.0846022i | ||||
\(531\) | 21.2074 | + | 3.48489i | 0.920321 | + | 0.151231i | ||||
\(532\) | 3.44810 | + | 19.5551i | 0.149494 | + | 0.847823i | ||||
\(533\) | 2.21204 | − | 7.38873i | 0.0958142 | − | 0.320042i | ||||
\(534\) | −10.0094 | + | 2.74467i | −0.433148 | + | 0.118774i | ||||
\(535\) | −3.06642 | + | 1.54002i | −0.132573 | + | 0.0665807i | ||||
\(536\) | −2.79400 | − | 9.33260i | −0.120682 | − | 0.403107i | ||||
\(537\) | 6.79583 | − | 12.7815i | 0.293262 | − | 0.551564i | ||||
\(538\) | −0.315154 | + | 0.423325i | −0.0135873 | + | 0.0182509i | ||||
\(539\) | −2.87380 | + | 4.97756i | −0.123783 | + | 0.214399i | ||||
\(540\) | −0.723903 | + | 3.84430i | −0.0311518 | + | 0.165432i | ||||
\(541\) | −13.9209 | − | 24.1118i | −0.598508 | − | 1.03665i | −0.993042 | − | 0.117764i | \(-0.962427\pi\) |
0.394534 | − | 0.918881i | \(-0.370906\pi\) | |||||||
\(542\) | −19.9978 | − | 2.33740i | −0.858978 | − | 0.100400i | ||||
\(543\) | −2.49514 | − | 1.94936i | −0.107077 | − | 0.0836550i | ||||
\(544\) | 2.78720 | + | 0.660580i | 0.119500 | + | 0.0283221i | ||||
\(545\) | −1.79246 | − | 1.17892i | −0.0767804 | − | 0.0504993i | ||||
\(546\) | 8.04449 | − | 11.6325i | 0.344272 | − | 0.497826i | ||||
\(547\) | 7.76808 | + | 8.23369i | 0.332139 | + | 0.352047i | 0.871823 | − | 0.489821i | \(-0.162938\pi\) |
−0.539684 | + | 0.841868i | \(0.681456\pi\) | |||||||
\(548\) | −8.47058 | + | 7.10766i | −0.361845 | + | 0.303624i | ||||
\(549\) | 25.5528 | + | 10.6706i | 1.09057 | + | 0.455412i | ||||
\(550\) | 21.9499 | + | 18.4182i | 0.935947 | + | 0.785353i | ||||
\(551\) | 3.56453 | + | 61.2006i | 0.151854 | + | 2.60723i | ||||
\(552\) | 0.549452 | − | 1.40691i | 0.0233862 | − | 0.0598821i | ||||
\(553\) | 20.1505 | + | 27.0669i | 0.856888 | + | 1.15100i | ||||
\(554\) | −21.4190 | + | 2.50352i | −0.910007 | + | 0.106365i | ||||
\(555\) | −0.0437942 | + | 1.88273i | −0.00185896 | + | 0.0799175i | ||||
\(556\) | 3.65823 | − | 2.40606i | 0.155144 | − | 0.102040i | ||||
\(557\) | 4.04856 | − | 1.47356i | 0.171543 | − | 0.0624365i | −0.254821 | − | 0.966988i | \(-0.582017\pi\) |
0.426364 | + | 0.904552i | \(0.359794\pi\) | |||||||
\(558\) | −2.72990 | + | 5.59752i | −0.115566 | + | 0.236962i | ||||
\(559\) | −10.2546 | − | 3.73236i | −0.433723 | − | 0.157862i | ||||
\(560\) | −1.81085 | + | 0.429179i | −0.0765223 | + | 0.0181361i | ||||
\(561\) | 2.98105 | + | 31.9279i | 0.125860 | + | 1.34800i | ||||
\(562\) | −0.873367 | + | 14.9951i | −0.0368408 | + | 0.632531i | ||||
\(563\) | 6.83248 | − | 7.24200i | 0.287955 | − | 0.305214i | −0.567207 | − | 0.823575i | \(-0.691976\pi\) |
0.855162 | + | 0.518361i | \(0.173458\pi\) | |||||||
\(564\) | −5.06221 | + | 4.55817i | −0.213158 | + | 0.191933i | ||||
\(565\) | 1.60746 | + | 3.72651i | 0.0676264 | + | 0.156776i | ||||
\(566\) | 9.75127 | 0.409877 | ||||||||
\(567\) | −10.6715 | + | 19.5215i | −0.448161 | + | 0.819826i | ||||
\(568\) | 15.2599 | 0.640290 | ||||||||
\(569\) | −9.95294 | − | 23.0735i | −0.417249 | − | 0.967292i | −0.989142 | − | 0.146963i | \(-0.953050\pi\) |
0.571893 | − | 0.820328i | \(-0.306209\pi\) | |||||||
\(570\) | 9.96171 | + | 3.23660i | 0.417250 | + | 0.135566i | ||||
\(571\) | 9.17500 | − | 9.72494i | 0.383962 | − | 0.406976i | −0.506349 | − | 0.862329i | \(-0.669005\pi\) |
0.890311 | + | 0.455353i | \(0.150487\pi\) | |||||||
\(572\) | −1.24139 | + | 21.3139i | −0.0519052 | + | 0.891177i | ||||
\(573\) | 31.5233 | + | 14.4764i | 1.31691 | + | 0.604758i | ||||
\(574\) | −5.61629 | + | 1.33109i | −0.234420 | + | 0.0555585i | ||||
\(575\) | 3.63276 | + | 1.32222i | 0.151496 | + | 0.0551402i | ||||
\(576\) | −2.88381 | − | 0.826830i | −0.120159 | − | 0.0344512i | ||||
\(577\) | 1.93268 | − | 0.703437i | 0.0804584 | − | 0.0292845i | −0.301477 | − | 0.953473i | \(-0.597480\pi\) |
0.381936 | + | 0.924189i | \(0.375258\pi\) | |||||||
\(578\) | 7.34822 | − | 4.83300i | 0.305646 | − | 0.201026i | ||||
\(579\) | 5.04883 | − | 2.76043i | 0.209822 | − | 0.114719i | ||||
\(580\) | −5.70669 | + | 0.667016i | −0.236957 | + | 0.0276963i | ||||
\(581\) | −16.1711 | − | 21.7216i | −0.670892 | − | 0.901164i | ||||
\(582\) | −5.85988 | − | 7.32284i | −0.242900 | − | 0.303542i | ||||
\(583\) | −0.987268 | − | 16.9507i | −0.0408885 | − | 0.702028i | ||||
\(584\) | 0.644277 | + | 0.540613i | 0.0266604 | + | 0.0223707i | ||||
\(585\) | −3.42576 | − | 6.62736i | −0.141638 | − | 0.274008i | ||||
\(586\) | 10.3170 | − | 8.65703i | 0.426193 | − | 0.357619i | ||||
\(587\) | −3.86852 | − | 4.10039i | −0.159671 | − | 0.169241i | 0.642599 | − | 0.766202i | \(-0.277856\pi\) |
−0.802270 | + | 0.596961i | \(0.796375\pi\) | |||||||
\(588\) | 1.53514 | + | 0.125290i | 0.0633079 | + | 0.00516687i | ||||
\(589\) | 13.9319 | + | 9.16317i | 0.574055 | + | 0.377562i | ||||
\(590\) | 5.24791 | + | 1.24378i | 0.216053 | + | 0.0512055i | ||||
\(591\) | 26.0839 | − | 10.5390i | 1.07295 | − | 0.433517i | ||||
\(592\) | −1.43449 | − | 0.167667i | −0.0589570 | − | 0.00689109i | ||||
\(593\) | 7.18561 | + | 12.4458i | 0.295078 | + | 0.511090i | 0.975003 | − | 0.222192i | \(-0.0713211\pi\) |
−0.679925 | + | 0.733281i | \(0.737988\pi\) | |||||||
\(594\) | −1.56397 | − | 33.5482i | −0.0641703 | − | 1.37650i | ||||
\(595\) | 2.66536 | − | 4.61653i | 0.109269 | − | 0.189259i | ||||
\(596\) | 9.52577 | − | 12.7953i | 0.390191 | − | 0.524117i | ||||
\(597\) | 7.20739 | − | 0.251790i | 0.294979 | − | 0.0103051i | ||||
\(598\) | 0.826139 | + | 2.75950i | 0.0337834 | + | 0.112844i | ||||
\(599\) | 14.8418 | − | 7.45384i | 0.606420 | − | 0.304555i | −0.118966 | − | 0.992898i | \(-0.537958\pi\) |
0.725385 | + | 0.688343i | \(0.241662\pi\) | |||||||
\(600\) | 1.94407 | − | 7.42841i | 0.0793665 | − | 0.303263i | ||||
\(601\) | −2.21265 | + | 7.39076i | −0.0902558 | + | 0.301475i | −0.991184 | − | 0.132493i | \(-0.957702\pi\) |
0.900928 | + | 0.433968i | \(0.142887\pi\) | |||||||
\(602\) | 1.41811 | + | 8.04251i | 0.0577979 | + | 0.327788i | ||||
\(603\) | −25.4788 | − | 14.3166i | −1.03758 | − | 0.583016i | ||||
\(604\) | −1.24515 | + | 7.06162i | −0.0506646 | + | 0.287333i | ||||
\(605\) | 20.7042 | + | 10.3981i | 0.841747 | + | 0.422741i | ||||
\(606\) | 3.93994 | + | 0.789604i | 0.160049 | + | 0.0320755i | ||||
\(607\) | 11.6078 | − | 26.9099i | 0.471147 | − | 1.09224i | −0.502582 | − | 0.864529i | \(-0.667617\pi\) |
0.973729 | − | 0.227711i | \(-0.0731242\pi\) | |||||||
\(608\) | −3.18160 | + | 7.37577i | −0.129031 | + | 0.299127i | ||||
\(609\) | −32.0394 | − | 6.42102i | −1.29830 | − | 0.260193i | ||||
\(610\) | 6.20988 | + | 3.11872i | 0.251431 | + | 0.126273i | ||||
\(611\) | 2.25591 | − | 12.7939i | 0.0912642 | − | 0.517585i | ||||
\(612\) | 7.39135 | − | 4.38313i | 0.298778 | − | 0.177178i | ||||
\(613\) | 4.70375 | + | 26.6763i | 0.189983 | + | 1.07744i | 0.919385 | + | 0.393360i | \(0.128687\pi\) |
−0.729402 | + | 0.684085i | \(0.760202\pi\) | |||||||
\(614\) | 8.65954 | − | 28.9249i | 0.349470 | − | 1.16731i | ||||
\(615\) | −0.770841 | + | 2.94542i | −0.0310833 | + | 0.118771i | ||||
\(616\) | 14.2779 | − | 7.17063i | 0.575273 | − | 0.288913i | ||||
\(617\) | −3.70570 | − | 12.3779i | −0.149186 | − | 0.498315i | 0.850428 | − | 0.526091i | \(-0.176343\pi\) |
−0.999614 | + | 0.0277755i | \(0.991158\pi\) | |||||||
\(618\) | 27.2637 | − | 0.952460i | 1.09671 | − | 0.0383135i | ||||
\(619\) | 19.5260 | − | 26.2280i | 0.784817 | − | 1.05419i | −0.212217 | − | 0.977223i | \(-0.568068\pi\) |
0.997033 | − | 0.0769693i | \(-0.0245243\pi\) | |||||||
\(620\) | −0.781413 | + | 1.35345i | −0.0313823 | + | 0.0543557i | ||||
\(621\) | −1.74636 | − | 4.18113i | −0.0700790 | − | 0.167783i | ||||
\(622\) | 14.8685 | + | 25.7530i | 0.596173 | + | 1.03260i | ||||
\(623\) | −14.7126 | − | 1.71966i | −0.589449 | − | 0.0688967i | ||||
\(624\) | 5.30473 | − | 2.14334i | 0.212359 | − | 0.0858022i | ||||
\(625\) | 16.3663 | + | 3.87889i | 0.654654 | + | 0.155156i | ||||
\(626\) | −5.66875 | − | 3.72839i | −0.226569 | − | 0.149017i | ||||
\(627\) | −89.6272 | − | 7.31492i | −3.57937 | − | 0.292130i | ||||
\(628\) | −10.7534 | − | 11.3980i | −0.429108 | − | 0.454828i | ||||
\(629\) | 3.16908 | − | 2.65917i | 0.126359 | − | 0.106028i | ||||
\(630\) | −3.01331 | + | 4.70003i | −0.120053 | + | 0.187253i | ||||
\(631\) | 26.3422 | + | 22.1037i | 1.04867 | + | 0.879936i | 0.992953 | − | 0.118511i | \(-0.0378120\pi\) |
0.0557141 | + | 0.998447i | \(0.482256\pi\) | |||||||
\(632\) | 0.793709 | + | 13.6274i | 0.0315720 | + | 0.542071i | ||||
\(633\) | −18.5316 | − | 23.1581i | −0.736565 | − | 0.920454i | ||||
\(634\) | 1.63543 | + | 2.19677i | 0.0649514 | + | 0.0872448i | ||||
\(635\) | −6.83706 | + | 0.799138i | −0.271321 | + | 0.0317128i | ||||
\(636\) | −3.99239 | + | 2.18283i | −0.158309 | + | 0.0865547i | ||||
\(637\) | −2.45418 | + | 1.61414i | −0.0972383 | + | 0.0639546i | ||||
\(638\) | 46.3524 | − | 16.8709i | 1.83511 | − | 0.667925i | ||||
\(639\) | 32.9302 | − | 31.8021i | 1.30270 | − | 1.25807i | ||||
\(640\) | −0.707437 | − | 0.257486i | −0.0279639 | − | 0.0101780i | ||||
\(641\) | 8.21026 | − | 1.94587i | 0.324286 | − | 0.0768572i | −0.0652486 | − | 0.997869i | \(-0.520784\pi\) |
0.389534 | + | 0.921012i | \(0.372636\pi\) | |||||||
\(642\) | −7.17430 | − | 3.29463i | −0.283147 | − | 0.130029i | ||||
\(643\) | −1.74107 | + | 29.8930i | −0.0686610 | + | 1.17886i | 0.771392 | + | 0.636360i | \(0.219561\pi\) |
−0.840053 | + | 0.542504i | \(0.817476\pi\) | |||||||
\(644\) | 1.47929 | − | 1.56796i | 0.0582923 | − | 0.0617862i | ||||
\(645\) | 4.09698 | + | 1.33113i | 0.161319 | + | 0.0524131i | ||||
\(646\) | −9.11342 | − | 21.1273i | −0.358563 | − | 0.831241i | ||||
\(647\) | −18.1620 | −0.714022 | −0.357011 | − | 0.934100i | \(-0.616204\pi\) | ||||
−0.357011 | + | 0.934100i | \(0.616204\pi\) | |||||||
\(648\) | −7.94629 | + | 4.22570i | −0.312160 | + | 0.166001i | ||||
\(649\) | −46.3030 | −1.81755 | ||||||||
\(650\) | 5.80019 | + | 13.4464i | 0.227502 | + | 0.527410i | ||||
\(651\) | −6.60517 | + | 5.94749i | −0.258877 | + | 0.233100i | ||||
\(652\) | −10.5255 | + | 11.1564i | −0.412211 | + | 0.436918i | ||||
\(653\) | 1.14109 | − | 19.5917i | 0.0446543 | − | 0.766684i | −0.899447 | − | 0.437029i | \(-0.856031\pi\) |
0.944102 | − | 0.329655i | \(-0.106932\pi\) | |||||||
\(654\) | −0.458862 | − | 4.91453i | −0.0179429 | − | 0.192173i | ||||
\(655\) | −10.0359 | + | 2.37856i | −0.392136 | + | 0.0929379i | ||||
\(656\) | −2.19410 | − | 0.798586i | −0.0856651 | − | 0.0311795i | ||||
\(657\) | 2.51698 | − | 0.176077i | 0.0981968 | − | 0.00686940i | ||||
\(658\) | −9.13576 | + | 3.32514i | −0.356149 | + | 0.129628i | ||||
\(659\) | 31.8582 | − | 20.9535i | 1.24102 | − | 0.816232i | 0.252541 | − | 0.967586i | \(-0.418734\pi\) |
0.988480 | + | 0.151354i | \(0.0483632\pi\) | |||||||
\(660\) | 0.195989 | − | 8.42565i | 0.00762887 | − | 0.327968i | ||||
\(661\) | −10.0831 | + | 1.17854i | −0.392187 | + | 0.0458401i | −0.309901 | − | 0.950769i | \(-0.600296\pi\) |
−0.0822855 | + | 0.996609i | \(0.526222\pi\) | |||||||
\(662\) | −8.19323 | − | 11.0054i | −0.318439 | − | 0.427738i | ||||
\(663\) | −5.96176 | + | 15.2655i | −0.231536 | + | 0.592864i | ||||
\(664\) | −0.636964 | − | 10.9363i | −0.0247190 | − | 0.424409i | ||||
\(665\) | 11.4516 | + | 9.60902i | 0.444074 | + | 0.372622i | ||||
\(666\) | −3.44499 | + | 2.62770i | −0.133491 | + | 0.101821i | ||||
\(667\) | 5.09815 | − | 4.27785i | 0.197401 | − | 0.165639i | ||||
\(668\) | 8.52339 | + | 9.03427i | 0.329780 | + | 0.349546i | ||||
\(669\) | −25.6123 | + | 37.0360i | −0.990229 | + | 1.43189i | ||||
\(670\) | −6.12751 | − | 4.03013i | −0.236726 | − | 0.155697i | ||||
\(671\) | −58.0514 | − | 13.7584i | −2.24105 | − | 0.531139i | ||||
\(672\) | −3.37400 | − | 2.63598i | −0.130155 | − | 0.101685i | ||||
\(673\) | −15.1316 | − | 1.76863i | −0.583282 | − | 0.0681758i | −0.180665 | − | 0.983545i | \(-0.557825\pi\) |
−0.402616 | + | 0.915369i | \(0.631899\pi\) | |||||||
\(674\) | −0.593766 | − | 1.02843i | −0.0228710 | − | 0.0396137i | ||||
\(675\) | −11.2858 | − | 20.0817i | −0.434392 | − | 0.772946i | ||||
\(676\) | 1.04433 | − | 1.80882i | 0.0401664 | − | 0.0695702i | ||||
\(677\) | 10.4389 | − | 14.0219i | 0.401200 | − | 0.538905i | −0.554911 | − | 0.831910i | \(-0.687248\pi\) |
0.956111 | + | 0.293005i | \(0.0946552\pi\) | |||||||
\(678\) | −4.38342 | + | 8.24431i | −0.168344 | + | 0.316621i | ||||
\(679\) | −3.83900 | − | 12.8232i | −0.147327 | − | 0.492108i | ||||
\(680\) | 1.92707 | − | 0.967811i | 0.0738997 | − | 0.0371138i | ||||
\(681\) | 25.1303 | − | 6.89098i | 0.962997 | − | 0.264063i | ||||
\(682\) | 3.84814 | − | 12.8537i | 0.147353 | − | 0.492193i | ||||
\(683\) | 4.00733 | + | 22.7267i | 0.153336 | + | 0.869612i | 0.960291 | + | 0.278999i | \(0.0900028\pi\) |
−0.806955 | + | 0.590613i | \(0.798886\pi\) | |||||||
\(684\) | 8.50562 | + | 22.5472i | 0.325220 | + | 0.862113i | ||||
\(685\) | −1.44555 | + | 8.19809i | −0.0552314 | + | 0.313233i | ||||
\(686\) | 17.4278 | + | 8.75256i | 0.665396 | + | 0.334174i | ||||
\(687\) | −32.9398 | + | 37.4517i | −1.25673 | + | 1.42887i | ||||
\(688\) | −1.30851 | + | 3.03346i | −0.0498863 | + | 0.115650i | ||||
\(689\) | 3.43706 | − | 7.96801i | 0.130942 | − | 0.303557i | ||||
\(690\) | −0.363953 | − | 1.07727i | −0.0138554 | − | 0.0410108i | ||||
\(691\) | −24.0112 | − | 12.0589i | −0.913430 | − | 0.458742i | −0.0709561 | − | 0.997479i | \(-0.522605\pi\) |
−0.842473 | + | 0.538738i | \(0.818901\pi\) | |||||||
\(692\) | 0.681953 | − | 3.86755i | 0.0259240 | − | 0.147022i | ||||
\(693\) | 15.8673 | − | 45.2296i | 0.602748 | − | 1.71813i | ||||
\(694\) | −0.867384 | − | 4.91918i | −0.0329254 | − | 0.186729i | ||||
\(695\) | 0.945405 | − | 3.15787i | 0.0358612 | − | 0.119785i | ||||
\(696\) | −9.40139 | − | 9.29237i | −0.356359 | − | 0.352226i | ||||
\(697\) | 5.97675 | − | 3.00164i | 0.226386 | − | 0.113695i | ||||
\(698\) | −8.68784 | − | 29.0194i | −0.328840 | − | 1.09840i | ||||
\(699\) | −8.50575 | − | 13.6116i | −0.321717 | − | 0.514839i | ||||
\(700\) | 6.54421 | − | 8.79040i | 0.247348 | − | 0.332246i | ||||
\(701\) | 8.80982 | − | 15.2590i | 0.332742 | − | 0.576326i | −0.650306 | − | 0.759672i | \(-0.725359\pi\) |
0.983048 | + | 0.183346i | \(0.0586928\pi\) | |||||||
\(702\) | 6.98060 | − | 15.6805i | 0.263466 | − | 0.591822i | ||||
\(703\) | 5.80063 | + | 10.0470i | 0.218775 | + | 0.378930i | ||||
\(704\) | 6.41966 | + | 0.750350i | 0.241950 | + | 0.0282799i | ||||
\(705\) | −0.713651 | + | 5.07842i | −0.0268777 | + | 0.191264i | ||||
\(706\) | −18.6952 | − | 4.43084i | −0.703602 | − | 0.166757i | ||||
\(707\) | 4.79145 | + | 3.15139i | 0.180201 | + | 0.118520i | ||||
\(708\) | 5.30947 | + | 11.2150i | 0.199542 | + | 0.421484i | ||||
\(709\) | −0.916771 | − | 0.971721i | −0.0344301 | − | 0.0364937i | 0.709930 | − | 0.704273i | \(-0.248727\pi\) |
−0.744360 | + | 0.667779i | \(0.767245\pi\) | |||||||
\(710\) | 8.80049 | − | 7.38449i | 0.330277 | − | 0.277135i | ||||
\(711\) | 30.1129 | + | 27.7534i | 1.12932 | + | 1.04083i | ||||
\(712\) | −4.59033 | − | 3.85174i | −0.172030 | − | 0.144350i | ||||
\(713\) | −0.105257 | − | 1.80719i | −0.00394189 | − | 0.0676797i | ||||
\(714\) | 12.1243 | − | 1.84823i | 0.453739 | − | 0.0691683i | ||||
\(715\) | 9.59819 | + | 12.8926i | 0.358952 | + | 0.482156i | ||||
\(716\) | 8.30114 | − | 0.970264i | 0.310228 | − | 0.0362605i | ||||
\(717\) | −3.46712 | − | 2.11074i | −0.129482 | − | 0.0788270i | ||||
\(718\) | 8.00202 | − | 5.26301i | 0.298633 | − | 0.196414i | ||||
\(719\) | −15.3237 | + | 5.57739i | −0.571479 | + | 0.208001i | −0.611564 | − | 0.791195i | \(-0.709459\pi\) |
0.0400850 | + | 0.999196i | \(0.487237\pi\) | |||||||
\(720\) | −2.06323 | + | 0.918681i | −0.0768921 | + | 0.0342372i | ||||
\(721\) | 36.5866 | + | 13.3164i | 1.36256 | + | 0.495930i | ||||
\(722\) | 44.2974 | − | 10.4987i | 1.64858 | − | 0.390721i | ||||
\(723\) | −14.5852 | + | 10.3399i | −0.542429 | + | 0.384547i | ||||
\(724\) | 0.106294 | − | 1.82500i | 0.00395038 | − | 0.0678254i | ||||
\(725\) | 23.2181 | − | 24.6097i | 0.862297 | − | 0.913982i | ||||
\(726\) | 11.0832 | + | 52.1389i | 0.411338 | + | 1.93506i | ||||
\(727\) | −3.11630 | − | 7.22440i | −0.115577 | − | 0.267938i | 0.850602 | − | 0.525810i | \(-0.176238\pi\) |
−0.966179 | + | 0.257872i | \(0.916979\pi\) | |||||||
\(728\) | 8.16556 | 0.302636 | ||||||||
\(729\) | −8.34126 | + | 25.6792i | −0.308936 | + | 0.951083i | ||||
\(730\) | 0.633171 | 0.0234347 | ||||||||
\(731\) | −3.74811 | − | 8.68909i | −0.138629 | − | 0.321377i | ||||
\(732\) | 3.32423 | + | 15.6382i | 0.122867 | + | 0.578003i | ||||
\(733\) | 6.12571 | − | 6.49288i | 0.226258 | − | 0.239820i | −0.604293 | − | 0.796762i | \(-0.706544\pi\) |
0.830551 | + | 0.556943i | \(0.188026\pi\) | |||||||
\(734\) | −1.24661 | + | 21.4034i | −0.0460131 | + | 0.790015i | ||||
\(735\) | 0.945955 | − | 0.670620i | 0.0348921 | − | 0.0247362i | ||||
\(736\) | 0.848522 | − | 0.201103i | 0.0312769 | − | 0.00741277i | ||||
\(737\) | 59.1679 | + | 21.5353i | 2.17948 | + | 0.793265i | ||||
\(738\) | −6.39906 | + | 2.84926i | −0.235553 | + | 0.104883i | ||||
\(739\) | 0.858569 | − | 0.312494i | 0.0315830 | − | 0.0114953i | −0.326180 | − | 0.945308i | \(-0.605762\pi\) |
0.357763 | + | 0.933812i | \(0.383539\pi\) | |||||||
\(740\) | −0.908417 | + | 0.597475i | −0.0333941 | + | 0.0219636i | ||||
\(741\) | −39.2558 | − | 23.8984i | −1.44210 | − | 0.877930i | ||||
\(742\) | −6.45010 | + | 0.753908i | −0.236790 | + | 0.0276768i | ||||
\(743\) | 17.9644 | + | 24.1304i | 0.659050 | + | 0.885258i | 0.998465 | − | 0.0553789i | \(-0.0176367\pi\) |
−0.339415 | + | 0.940637i | \(0.610229\pi\) | |||||||
\(744\) | −3.55452 | + | 0.541853i | −0.130315 | + | 0.0198653i | ||||
\(745\) | −0.698271 | − | 11.9888i | −0.0255827 | − | 0.439237i | ||||
\(746\) | −21.1328 | − | 17.7325i | −0.773725 | − | 0.649233i | ||||
\(747\) | −24.1661 | − | 22.2725i | −0.884191 | − | 0.814910i | ||||
\(748\) | −14.1824 | + | 11.9004i | −0.518558 | + | 0.435122i | ||||
\(749\) | −7.73205 | − | 8.19550i | −0.282523 | − | 0.299457i | ||||
\(750\) | −5.26335 | − | 11.1175i | −0.192190 | − | 0.405956i | ||||
\(751\) | 10.0362 | + | 6.60094i | 0.366228 | + | 0.240872i | 0.719262 | − | 0.694738i | \(-0.244480\pi\) |
−0.353035 | + | 0.935610i | \(0.614850\pi\) | |||||||
\(752\) | −3.82688 | − | 0.906987i | −0.139552 | − | 0.0330744i | ||||
\(753\) | 1.36367 | − | 9.70402i | 0.0496949 | − | 0.353634i | ||||
\(754\) | 25.0392 | + | 2.92667i | 0.911875 | + | 0.106583i | ||||
\(755\) | 2.69914 | + | 4.67504i | 0.0982317 | + | 0.170142i | ||||
\(756\) | −12.7744 | + | 1.34320i | −0.464601 | + | 0.0488516i | ||||
\(757\) | −24.9224 | + | 43.1669i | −0.905820 | + | 1.56893i | −0.0860076 | + | 0.996294i | \(0.527411\pi\) |
−0.819813 | + | 0.572632i | \(0.805922\pi\) | |||||||
\(758\) | −16.8947 | + | 22.6935i | −0.613642 | + | 0.824264i | ||||
\(759\) | 5.17331 | + | 8.27876i | 0.187779 | + | 0.300500i | ||||
\(760\) | 1.73440 | + | 5.79329i | 0.0629132 | + | 0.210145i | ||||
\(761\) | −21.5309 | + | 10.8132i | −0.780496 | + | 0.391980i | −0.793991 | − | 0.607929i | \(-0.792001\pi\) |
0.0134952 | + | 0.999909i | \(0.495704\pi\) | |||||||
\(762\) | −11.2636 | − | 11.1330i | −0.408038 | − | 0.403306i | ||||
\(763\) | 2.02040 | − | 6.74861i | 0.0731434 | − | 0.244316i | ||||
\(764\) | 3.47771 | + | 19.7231i | 0.125819 | + | 0.713557i | ||||
\(765\) | 2.14159 | − | 6.10458i | 0.0774292 | − | 0.220712i | ||||
\(766\) | −3.22586 | + | 18.2947i | −0.116555 | + | 0.661016i | ||||
\(767\) | −21.1470 | − | 10.6204i | −0.763575 | − | 0.383482i | ||||
\(768\) | −0.554387 | − | 1.64093i | −0.0200047 | − | 0.0592120i | ||||
\(769\) | 5.56322 | − | 12.8970i | 0.200615 | − | 0.465077i | −0.787976 | − | 0.615706i | \(-0.788871\pi\) |
0.988590 | + | 0.150629i | \(0.0481300\pi\) | |||||||
\(770\) | 4.76420 | − | 11.0447i | 0.171690 | − | 0.398022i | ||||
\(771\) | 1.05275 | − | 1.19695i | 0.0379139 | − | 0.0431071i | ||||
\(772\) | 2.96881 | + | 1.49099i | 0.106850 | + | 0.0536619i | ||||
\(773\) | −2.15644 | + | 12.2298i | −0.0775616 | + | 0.439874i | 0.921154 | + | 0.389199i | \(0.127248\pi\) |
−0.998715 | + | 0.0506746i | \(0.983863\pi\) | |||||||
\(774\) | 3.49813 | + | 9.27306i | 0.125738 | + | 0.333313i | ||||
\(775\) | −1.59808 | − | 9.06317i | −0.0574048 | − | 0.325559i | ||||
\(776\) | 1.55300 | − | 5.18738i | 0.0557495 | − | 0.186216i | ||||
\(777\) | −5.96359 | + | 1.63527i | −0.213943 | + | 0.0586651i | ||||
\(778\) | 3.64048 | − | 1.82832i | 0.130518 | − | 0.0655484i | ||||
\(779\) | 5.37919 | + | 17.9677i | 0.192729 | + | 0.643761i | ||||
\(780\) | 2.02209 | − | 3.80312i | 0.0724023 | − | 0.136174i | ||||
\(781\) | −58.8978 | + | 79.1134i | −2.10753 | + | 2.83090i | ||||
\(782\) | −1.24892 | + | 2.16320i | −0.0446614 | + | 0.0773559i | ||||
\(783\) | −39.6535 | − | 0.459716i | −1.41710 | − | 0.0164289i | ||||
\(784\) | 0.444629 | + | 0.770120i | 0.0158796 | + | 0.0275043i | ||||
\(785\) | −11.7172 | − | 1.36955i | −0.418206 | − | 0.0488813i | ||||
\(786\) | −18.6990 | − | 14.6089i | −0.666973 | − | 0.521081i | ||||
\(787\) | 37.0744 | + | 8.78680i | 1.32156 | + | 0.313216i | 0.830066 | − | 0.557665i | \(-0.188303\pi\) |
0.491495 | + | 0.870881i | \(0.336451\pi\) | |||||||
\(788\) | 13.5703 | + | 8.92531i | 0.483421 | + | 0.317951i | ||||
\(789\) | 24.6374 | − | 35.6263i | 0.877116 | − | 1.26833i | ||||
\(790\) | 7.05228 | + | 7.47498i | 0.250909 | + | 0.265948i | ||||
\(791\) | −10.2084 | + | 8.56584i | −0.362968 | + | 0.304566i | ||||
\(792\) | 15.4171 | − | 11.7596i | 0.547823 | − | 0.417858i | ||||
\(793\) | −23.3569 | − | 19.5988i | −0.829428 | − | 0.695973i | ||||
\(794\) | 0.205574 | + | 3.52957i | 0.00729555 | + | 0.125260i | ||||
\(795\) | −1.24614 | + | 3.19084i | −0.0441961 | + | 0.113167i | ||||
\(796\) | 2.48640 | + | 3.33982i | 0.0881283 | + | 0.118377i | ||||
\(797\) | 32.6660 | − | 3.81810i | 1.15709 | − | 0.135244i | 0.484178 | − | 0.874969i | \(-0.339119\pi\) |
0.672909 | + | 0.739725i | \(0.265044\pi\) | |||||||
\(798\) | −0.799800 | + | 34.3837i | −0.0283126 | + | 1.21717i | ||||
\(799\) | 9.41213 | − | 6.19046i | 0.332977 | − | 0.219003i | ||||
\(800\) | 4.16588 | − | 1.51626i | 0.147286 | − | 0.0536077i | ||||
\(801\) | −17.9329 | + | 1.25450i | −0.633628 | + | 0.0443257i | ||||
\(802\) | −7.68637 | − | 2.79761i | −0.271415 | − | 0.0987870i | ||||
\(803\) | −5.28944 | + | 1.25362i | −0.186660 | + | 0.0442393i | ||||
\(804\) | −1.56862 | − | 16.8003i | −0.0553209 | − | 0.592502i | ||||
\(805\) | 0.0943605 | − | 1.62011i | 0.00332577 | − | 0.0571013i | ||||
\(806\) | 4.70570 | − | 4.98775i | 0.165751 | − | 0.175686i | ||||
\(807\) | −0.679300 | + | 0.611662i | −0.0239125 | + | 0.0215315i | ||||
\(808\) | 0.918888 | + | 2.13022i | 0.0323264 | + | 0.0749410i | ||||
\(809\) | 32.5043 | 1.14279 | 0.571394 | − | 0.820676i | \(-0.306403\pi\) | ||||
0.571394 | + | 0.820676i | \(0.306403\pi\) | |||||||
\(810\) | −2.53781 | + | 6.28233i | −0.0891695 | + | 0.220739i | ||||
\(811\) | 21.4512 | 0.753253 | 0.376626 | − | 0.926365i | \(-0.377084\pi\) | ||||
0.376626 | + | 0.926365i | \(0.377084\pi\) | |||||||
\(812\) | −7.47236 | − | 17.3229i | −0.262229 | − | 0.607914i | ||||
\(813\) | −33.1663 | − | 10.7759i | −1.16319 | − | 0.377926i | ||||
\(814\) | 6.40587 | − | 6.78983i | 0.224526 | − | 0.237983i | ||||
\(815\) | −0.671398 | + | 11.5275i | −0.0235180 | + | 0.403789i | ||||
\(816\) | 4.50863 | + | 2.07048i | 0.157834 | + | 0.0724814i | ||||
\(817\) | 25.8219 | − | 6.11991i | 0.903395 | − | 0.214108i | ||||
\(818\) | −9.75217 | − | 3.54950i | −0.340977 | − | 0.124105i | ||||
\(819\) | 17.6210 | − | 17.0173i | 0.615726 | − | 0.594634i | ||||
\(820\) | −1.65180 | + | 0.601207i | −0.0576834 | + | 0.0209951i | ||||
\(821\) | −41.2643 | + | 27.1400i | −1.44013 | + | 0.947192i | −0.441379 | + | 0.897321i | \(0.645511\pi\) |
−0.998756 | + | 0.0498710i | \(0.984119\pi\) | |||||||
\(822\) | −16.8045 | + | 9.18782i | −0.586126 | + | 0.320462i | ||||
\(823\) | −45.2777 | + | 5.29221i | −1.57828 | + | 0.184475i | −0.859639 | − | 0.510903i | \(-0.829311\pi\) |
−0.718645 | + | 0.695378i | \(0.755237\pi\) | |||||||
\(824\) | 9.40545 | + | 12.6337i | 0.327654 | + | 0.440116i | ||||
\(825\) | 31.0085 | + | 38.7499i | 1.07958 | + | 1.34910i | ||||
\(826\) | 1.02970 | + | 17.6792i | 0.0358277 | + | 0.615138i | ||||
\(827\) | 24.3749 | + | 20.4530i | 0.847599 | + | 0.711220i | 0.959259 | − | 0.282527i | \(-0.0911725\pi\) |
−0.111661 | + | 0.993746i | \(0.535617\pi\) | |||||||
\(828\) | 1.41197 | − | 2.20232i | 0.0490693 | − | 0.0765360i | ||||
\(829\) | 19.2502 | − | 16.1528i | 0.668587 | − | 0.561011i | −0.244060 | − | 0.969760i | \(-0.578479\pi\) |
0.912647 | + | 0.408749i | \(0.134035\pi\) | |||||||
\(830\) | −5.65957 | − | 5.99879i | −0.196447 | − | 0.208221i | ||||
\(831\) | −37.2276 | − | 3.03833i | −1.29141 | − | 0.105398i | ||||
\(832\) | 2.75981 | + | 1.81516i | 0.0956792 | + | 0.0629292i | ||||
\(833\) | −2.47854 | − | 0.587426i | −0.0858765 | − | 0.0203531i | ||||
\(834\) | 7.03162 | − | 2.84108i | 0.243485 | − | 0.0983784i | ||||
\(835\) | 9.28733 | + | 1.08553i | 0.321401 | + | 0.0375664i | ||||
\(836\) | −25.9592 | − | 44.9626i | −0.897817 | − | 1.55506i | ||||
\(837\) | −6.54126 | + | 8.57704i | −0.226099 | + | 0.296466i | ||||
\(838\) | −14.2629 | + | 24.7040i | −0.492702 | + | 0.853385i | ||||
\(839\) | 2.94611 | − | 3.95731i | 0.101711 | − | 0.136622i | −0.748354 | − | 0.663300i | \(-0.769155\pi\) |
0.850065 | + | 0.526678i | \(0.176563\pi\) | |||||||
\(840\) | −3.22140 | + | 0.112540i | −0.111149 | + | 0.00388299i | ||||
\(841\) | −8.38748 | − | 28.0161i | −0.289224 | − | 0.966074i | ||||
\(842\) | −20.0505 | + | 10.0697i | −0.690986 | + | 0.347026i | ||||
\(843\) | −6.58685 | + | 25.1687i | −0.226863 | + | 0.866856i | ||||
\(844\) | 4.91129 | − | 16.4049i | 0.169054 | − | 0.564678i | ||||
\(845\) | −0.273048 | − | 1.54853i | −0.00939312 | − | 0.0532710i | ||||
\(846\) | −10.1484 | + | 6.01811i | −0.348911 | + | 0.206907i | ||||
\(847\) | −13.2104 | + | 74.9198i | −0.453914 | + | 2.57427i | ||||
\(848\) | −2.34760 | − | 1.17901i | −0.0806170 | − | 0.0404874i | ||||
\(849\) | 16.5604 | + | 3.31887i | 0.568352 | + | 0.113903i | ||||
\(850\) | −5.02967 | + | 11.6601i | −0.172516 | + | 0.399937i | ||||
\(851\) | 0.498834 | − | 1.15643i | 0.0170998 | − | 0.0396418i | ||||
\(852\) | 25.9156 | + | 5.19374i | 0.887852 | + | 0.177934i | ||||
\(853\) | −14.9438 | − | 7.50506i | −0.511666 | − | 0.256968i | 0.174181 | − | 0.984714i | \(-0.444272\pi\) |
−0.685848 | + | 0.727745i | \(0.740568\pi\) | |||||||
\(854\) | −3.96223 | + | 22.4709i | −0.135585 | + | 0.768938i | ||||
\(855\) | 15.8162 | + | 8.88715i | 0.540903 | + | 0.303934i | ||||
\(856\) | −0.791482 | − | 4.48872i | −0.0270523 | − | 0.153421i | ||||
\(857\) | 8.19881 | − | 27.3859i | 0.280066 | − | 0.935485i | −0.696006 | − | 0.718036i | \(-0.745041\pi\) |
0.976072 | − | 0.217449i | \(-0.0697736\pi\) | |||||||
\(858\) | −9.36246 | + | 35.7744i | −0.319629 | + | 1.22132i | ||||
\(859\) | 6.12687 | − | 3.07703i | 0.209046 | − | 0.104987i | −0.341196 | − | 0.939992i | \(-0.610832\pi\) |
0.550242 | + | 0.835005i | \(0.314536\pi\) | |||||||
\(860\) | 0.713312 | + | 2.38263i | 0.0243237 | + | 0.0812469i | ||||
\(861\) | −9.99109 | + | 0.349039i | −0.340495 | + | 0.0118952i | ||||
\(862\) | −10.5861 | + | 14.2196i | −0.360563 | + | 0.484320i | ||||
\(863\) | 5.84540 | − | 10.1245i | 0.198980 | − | 0.344643i | −0.749218 | − | 0.662323i | \(-0.769571\pi\) |
0.948198 | + | 0.317680i | \(0.102904\pi\) | |||||||
\(864\) | −4.61611 | − | 2.38570i | −0.157043 | − | 0.0811632i | ||||
\(865\) | −1.47828 | − | 2.56046i | −0.0502630 | − | 0.0870581i | ||||
\(866\) | 22.9318 | + | 2.68035i | 0.779256 | + | 0.0910819i | ||||
\(867\) | 14.1243 | − | 5.70681i | 0.479685 | − | 0.193813i | ||||
\(868\) | −4.99331 | − | 1.18344i | −0.169484 | − | 0.0401684i | ||||
\(869\) | −73.7137 | − | 48.4823i | −2.50057 | − | 1.64465i | ||||
\(870\) | −9.91858 | − | 0.809505i | −0.336271 | − | 0.0274448i | ||||
\(871\) | 22.0830 | + | 23.4066i | 0.748254 | + | 0.793103i | ||||
\(872\) | 2.18303 | − | 1.83178i | 0.0739268 | − | 0.0620320i | ||||
\(873\) | −7.45938 | − | 14.4307i | −0.252462 | − | 0.488404i | ||||
\(874\) | −5.36595 | − | 4.50257i | −0.181506 | − | 0.152302i | ||||
\(875\) | −1.02075 | − | 17.5257i | −0.0345078 | − | 0.592475i | ||||
\(876\) | 0.910165 | + | 1.13739i | 0.0307516 | + | 0.0384290i | ||||
\(877\) | 18.1521 | + | 24.3825i | 0.612952 | + | 0.823337i | 0.994902 | − | 0.100846i | \(-0.0321549\pi\) |
−0.381950 | + | 0.924183i | \(0.624747\pi\) | |||||||
\(878\) | 24.1386 | − | 2.82140i | 0.814638 | − | 0.0952175i | ||||
\(879\) | 20.4677 | − | 11.1906i | 0.690358 | − | 0.377451i | ||||
\(880\) | 4.06537 | − | 2.67384i | 0.137044 | − | 0.0901351i | ||||
\(881\) | −17.1227 | + | 6.23215i | −0.576878 | + | 0.209966i | −0.613948 | − | 0.789346i | \(-0.710420\pi\) |
0.0370705 | + | 0.999313i | \(0.488197\pi\) | |||||||
\(882\) | 2.56445 | + | 0.735265i | 0.0863495 | + | 0.0247577i | ||||
\(883\) | 13.0764 | + | 4.75940i | 0.440054 | + | 0.160167i | 0.552539 | − | 0.833487i | \(-0.313659\pi\) |
−0.112485 | + | 0.993653i | \(0.535881\pi\) | |||||||
\(884\) | −9.20679 | + | 2.18205i | −0.309658 | + | 0.0733902i | ||||
\(885\) | 8.48911 | + | 3.89842i | 0.285358 | + | 0.131044i | ||||
\(886\) | 1.20814 | − | 20.7430i | 0.0405884 | − | 0.696876i | ||||
\(887\) | 5.30140 | − | 5.61915i | 0.178004 | − | 0.188673i | −0.632228 | − | 0.774782i | \(-0.717860\pi\) |
0.810232 | + | 0.586109i | \(0.199341\pi\) | |||||||
\(888\) | −2.37910 | − | 0.772978i | −0.0798372 | − | 0.0259394i | ||||
\(889\) | −8.95248 | − | 20.7542i | −0.300257 | − | 0.696073i | ||||
\(890\) | −4.51120 | −0.151216 | ||||||||
\(891\) | 8.76215 | − | 57.5065i | 0.293543 | − | 1.92654i | ||||
\(892\) | −25.9978 | −0.870470 | ||||||||
\(893\) | 12.5129 | + | 29.0081i | 0.418727 | + | 0.970719i | ||||
\(894\) | 20.5324 | − | 18.4880i | 0.686705 | − | 0.618330i | ||||
\(895\) | 4.31781 | − | 4.57661i | 0.144328 | − | 0.152979i | ||||
\(896\) | 0.143734 | − | 2.46781i | 0.00480180 | − | 0.0824437i | ||||
\(897\) | 0.463815 | + | 4.96758i | 0.0154863 | + | 0.165863i | ||||
\(898\) | 5.17070 | − | 1.22548i | 0.172549 | − | 0.0408948i | ||||
\(899\) | −14.8875 | − | 5.41862i | −0.496527 | − | 0.180721i | ||||
\(900\) | 5.82986 | − | 11.9539i | 0.194329 | − | 0.398462i | ||||
\(901\) | 7.07111 | − | 2.57367i | 0.235573 | − | 0.0857415i | ||||
\(902\) | 12.6086 | − | 8.29284i | 0.419822 | − | 0.276121i | ||||
\(903\) | −0.328936 | + | 14.1411i | −0.0109463 | + | 0.470586i | ||||
\(904\) | −5.35437 | + | 0.625837i | −0.178084 | + | 0.0208150i | ||||
\(905\) | −0.821844 | − | 1.10393i | −0.0273190 | − | 0.0366958i | ||||
\(906\) | −4.51806 | + | 11.5688i | −0.150103 | + | 0.384348i | ||||
\(907\) | −1.42826 | − | 24.5223i | −0.0474247 | − | 0.814251i | −0.935232 | − | 0.354035i | \(-0.884809\pi\) |
0.887807 | − | 0.460215i | \(-0.152228\pi\) | |||||||
\(908\) | 11.5248 | + | 9.67048i | 0.382465 | + | 0.320926i | ||||
\(909\) | 6.42239 | + | 2.68194i | 0.213017 | + | 0.0889543i | ||||
\(910\) | 4.70915 | − | 3.95145i | 0.156107 | − | 0.130989i | ||||
\(911\) | 17.6569 | + | 18.7152i | 0.584999 | + | 0.620063i | 0.950491 | − | 0.310752i | \(-0.100581\pi\) |
−0.365492 | + | 0.930814i | \(0.619099\pi\) | |||||||
\(912\) | −7.91361 | + | 11.4433i | −0.262046 | + | 0.378925i | ||||
\(913\) | 59.1565 | + | 38.9078i | 1.95779 | + | 1.28766i | ||||
\(914\) | 5.16361 | + | 1.22380i | 0.170797 | + | 0.0404796i | ||||
\(915\) | 9.48466 | + | 7.41001i | 0.313553 | + | 0.244967i | ||||
\(916\) | −28.6015 | − | 3.34303i | −0.945020 | − | 0.110457i | ||||
\(917\) | −16.9332 | − | 29.3292i | −0.559183 | − | 0.968534i | ||||
\(918\) | 14.0444 | − | 4.92813i | 0.463534 | − | 0.162652i | ||||
\(919\) | 12.2166 | − | 21.1598i | 0.402989 | − | 0.697998i | −0.591096 | − | 0.806601i | \(-0.701305\pi\) |
0.994085 | + | 0.108603i | \(0.0346379\pi\) | |||||||
\(920\) | 0.392032 | − | 0.526591i | 0.0129249 | − | 0.0173612i | ||||
\(921\) | 24.5510 | − | 46.1753i | 0.808982 | − | 1.52153i | ||||
\(922\) | −8.90623 | − | 29.7489i | −0.293311 | − | 0.979727i | ||||
\(923\) | −45.0453 | + | 22.6226i | −1.48268 | + | 0.744631i | ||||
\(924\) | 26.6884 | − | 7.31823i | 0.877985 | − | 0.240752i | ||||
\(925\) | 1.83632 | − | 6.13372i | 0.0603777 | − | 0.201676i | ||||
\(926\) | 3.51144 | + | 19.9144i | 0.115393 | + | 0.654427i | ||||
\(927\) | 46.6257 | + | 7.66174i | 1.53139 | + | 0.251645i | ||||
\(928\) | 1.32525 | − | 7.51588i | 0.0435035 | − | 0.246721i | ||||
\(929\) | 34.9071 | + | 17.5310i | 1.14526 | + | 0.575173i | 0.917182 | − | 0.398469i | \(-0.130458\pi\) |
0.228082 | + | 0.973642i | \(0.426755\pi\) | |||||||
\(930\) | −1.78771 | + | 2.03258i | −0.0586213 | + | 0.0666508i | ||||
\(931\) | 2.82926 | − | 6.55896i | 0.0927253 | − | 0.214961i | ||||
\(932\) | 3.67042 | − | 8.50898i | 0.120228 | − | 0.278721i | ||||
\(933\) | 16.4858 | + | 48.7964i | 0.539722 | + | 1.59752i | ||||
\(934\) | −37.5598 | − | 18.8632i | −1.22899 | − | 0.617223i | ||||
\(935\) | −2.42029 | + | 13.7261i | −0.0791518 | + | 0.448892i | ||||
\(936\) | 9.73841 | − | 1.83451i | 0.318310 | − | 0.0599629i | ||||
\(937\) | −3.69761 | − | 20.9702i | −0.120796 | − | 0.685067i | −0.983716 | − | 0.179727i | \(-0.942478\pi\) |
0.862921 | − | 0.505339i | \(-0.168633\pi\) | |||||||
\(938\) | 6.90674 | − | 23.0701i | 0.225513 | − | 0.753266i | ||||
\(939\) | −8.35816 | − | 8.26123i | −0.272758 | − | 0.269595i | ||||
\(940\) | −2.64590 | + | 1.32882i | −0.0862997 | + | 0.0433413i | ||||
\(941\) | −5.57259 | − | 18.6138i | −0.181661 | − | 0.606791i | −0.999508 | − | 0.0313554i | \(-0.990018\pi\) |
0.817847 | − | 0.575436i | \(-0.195168\pi\) | |||||||
\(942\) | −14.3830 | − | 23.0169i | −0.468624 | − | 0.749931i | ||||
\(943\) | 1.21588 | − | 1.63321i | 0.0395944 | − | 0.0531845i | ||||
\(944\) | −3.58196 | + | 6.20415i | −0.116583 | + | 0.201928i | ||||
\(945\) | −6.71712 | + | 6.95638i | −0.218508 | + | 0.226291i | ||||
\(946\) | −10.6763 | − | 18.4919i | −0.347117 | − | 0.601224i | ||||
\(947\) | 29.6708 | + | 3.46801i | 0.964170 | + | 0.112695i | 0.583586 | − | 0.812051i | \(-0.301649\pi\) |
0.380584 | + | 0.924746i | \(0.375723\pi\) | |||||||
\(948\) | −3.29020 | + | 23.4134i | −0.106861 | + | 0.760431i | ||||
\(949\) | −2.70328 | − | 0.640689i | −0.0877522 | − | 0.0207976i | ||||
\(950\) | −29.7525 | − | 19.5685i | −0.965298 | − | 0.634886i | ||||
\(951\) | 2.02975 | + | 4.28736i | 0.0658192 | + | 0.139027i | ||||
\(952\) | 4.85915 | + | 5.15040i | 0.157486 | + | 0.166925i | ||||
\(953\) | −32.5002 | + | 27.2709i | −1.05278 | + | 0.883391i | −0.993384 | − | 0.114844i | \(-0.963363\pi\) |
−0.0594004 | + | 0.998234i | \(0.518919\pi\) | |||||||
\(954\) | −7.52314 | + | 2.34823i | −0.243571 | + | 0.0760269i | ||||
\(955\) | 11.5499 | + | 9.69155i | 0.373747 | + | 0.313611i | ||||
\(956\) | −0.136263 | − | 2.33955i | −0.00440707 | − | 0.0756664i | ||||
\(957\) | 84.4615 | − | 12.8754i | 2.73025 | − | 0.416202i | ||||
\(958\) | −8.60951 | − | 11.5646i | −0.278161 | − | 0.373635i | ||||
\(959\) | −27.1494 | + | 3.17331i | −0.876699 | + | 0.102471i | ||||
\(960\) | −1.11379 | − | 0.678062i | −0.0359475 | − | 0.0218844i | ||||
\(961\) | 22.2997 | − | 14.6667i | 0.719344 | − | 0.473120i | ||||
\(962\) | 4.48299 | − | 1.63168i | 0.144537 | − | 0.0526073i | ||||
\(963\) | −11.0626 | − | 8.03700i | −0.356489 | − | 0.258989i | ||||
\(964\) | −9.69968 | − | 3.53039i | −0.312406 | − | 0.113706i | ||||
\(965\) | 2.43365 | − | 0.576786i | 0.0783420 | − | 0.0185674i | ||||
\(966\) | 3.04591 | − | 2.15935i | 0.0980007 | − | 0.0694761i | ||||
\(967\) | 0.269015 | − | 4.61881i | 0.00865095 | − | 0.148531i | −0.991216 | − | 0.132249i | \(-0.957780\pi\) |
0.999867 | − | 0.0162818i | \(-0.00518288\pi\) | |||||||
\(968\) | −21.1191 | + | 22.3849i | −0.678793 | + | 0.719479i | ||||
\(969\) | −8.28642 | − | 38.9818i | −0.266198 | − | 1.25228i | ||||
\(970\) | −1.61463 | − | 3.74313i | −0.0518426 | − | 0.120185i | ||||
\(971\) | −48.7769 | −1.56533 | −0.782663 | − | 0.622445i | \(-0.786139\pi\) | ||||
−0.782663 | + | 0.622445i | \(0.786139\pi\) | |||||||
\(972\) | −14.9333 | + | 4.47188i | −0.478985 | + | 0.143436i | ||||
\(973\) | 10.8238 | 0.346994 | ||||||||
\(974\) | −11.1746 | − | 25.9057i | −0.358059 | − | 0.830073i | ||||
\(975\) | 5.27386 | + | 24.8098i | 0.168899 | + | 0.794550i | ||||
\(976\) | −6.33431 | + | 6.71397i | −0.202756 | + | 0.214909i | ||||
\(977\) | −1.64039 | + | 28.1644i | −0.0524806 | + | 0.901058i | 0.864626 | + | 0.502416i | \(0.167555\pi\) |
−0.917107 | + | 0.398642i | \(0.869482\pi\) | |||||||
\(978\) | −21.6724 | + | 15.3643i | −0.693007 | + | 0.491297i | ||||
\(979\) | 37.6861 | − | 8.93176i | 1.20445 | − | 0.285460i | ||||
\(980\) | 0.629094 | + | 0.228972i | 0.0200957 | + | 0.00731423i | ||||
\(981\) | 0.893397 | − | 8.50243i | 0.0285240 | − | 0.271462i | ||||
\(982\) | 20.4513 | − | 7.44367i | 0.652627 | − | 0.237537i | ||||
\(983\) | −27.7263 | + | 18.2358i | −0.884330 | + | 0.581633i | −0.908412 | − | 0.418077i | \(-0.862704\pi\) |
0.0240815 | + | 0.999710i | \(0.492334\pi\) | |||||||
\(984\) | −3.45439 | − | 2.10299i | −0.110122 | − | 0.0670409i | ||||
\(985\) | 12.1452 | − | 1.41957i | 0.386978 | − | 0.0452312i | ||||
\(986\) | 13.0543 | + | 17.5350i | 0.415734 | + | 0.558428i | ||||
\(987\) | −16.6468 | + | 2.53765i | −0.529874 | + | 0.0807743i | ||||
\(988\) | −1.54281 | − | 26.4890i | −0.0490834 | − | 0.842729i | ||||
\(989\) | −2.20687 | − | 1.85179i | −0.0701744 | − | 0.0588834i | ||||
\(990\) | 3.20054 | − | 14.2424i | 0.101720 | − | 0.452654i | ||||
\(991\) | 9.12188 | − | 7.65417i | 0.289766 | − | 0.243143i | −0.486303 | − | 0.873790i | \(-0.661655\pi\) |
0.776069 | + | 0.630647i | \(0.217211\pi\) | |||||||
\(992\) | −1.42458 | − | 1.50996i | −0.0452303 | − | 0.0479413i | ||||
\(993\) | −10.1687 | − | 21.4789i | −0.322694 | − | 0.681612i | ||||
\(994\) | 31.5165 | + | 20.7287i | 0.999643 | + | 0.657475i | ||||
\(995\) | 3.05012 | + | 0.722892i | 0.0966954 | + | 0.0229172i | ||||
\(996\) | 2.64044 | − | 18.7896i | 0.0836655 | − | 0.595372i | ||||
\(997\) | −17.7411 | − | 2.07364i | −0.561868 | − | 0.0656729i | −0.169582 | − | 0.985516i | \(-0.554242\pi\) |
−0.392286 | + | 0.919843i | \(0.628316\pi\) | |||||||
\(998\) | −12.7492 | − | 22.0822i | −0.403569 | − | 0.699001i | ||||
\(999\) | −6.74491 | + | 3.29007i | −0.213399 | + | 0.104093i |
(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 | 162.2.g.b.31.4 | ✓ | 90 | |
3.2 | odd | 2 | 486.2.g.b.145.3 | 90 | |||
81.34 | even | 27 | inner | 162.2.g.b.115.4 | yes | 90 | |
81.47 | odd | 54 | 486.2.g.b.181.3 | 90 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.2.g.b.31.4 | ✓ | 90 | 1.1 | even | 1 | trivial | |
162.2.g.b.115.4 | yes | 90 | 81.34 | even | 27 | inner | |
486.2.g.b.145.3 | 90 | 3.2 | odd | 2 | |||
486.2.g.b.181.3 | 90 | 81.47 | odd | 54 |