Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 169.4 | ||
Character | \(\chi\) | \(=\) | 177.169 |
Dual form | 177.2.e.b.22.4 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{16}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.276207 | − | 1.68479i | 0.195308 | − | 1.19132i | −0.689120 | − | 0.724647i | \(-0.742003\pi\) |
0.884428 | − | 0.466677i | \(-0.154549\pi\) | |||||||
\(3\) | −0.267528 | + | 0.963550i | −0.154458 | + | 0.556306i | ||||
\(4\) | −0.866914 | − | 0.292097i | −0.433457 | − | 0.146049i | ||||
\(5\) | −2.40908 | − | 3.55313i | −1.07737 | − | 1.58901i | −0.770707 | − | 0.637189i | \(-0.780097\pi\) |
−0.306666 | − | 0.951817i | \(-0.599213\pi\) | |||||||
\(6\) | 1.54948 | + | 0.716868i | 0.632574 | + | 0.292660i | ||||
\(7\) | 0.331175 | − | 0.0728972i | 0.125172 | − | 0.0275525i | −0.151942 | − | 0.988389i | \(-0.548553\pi\) |
0.277115 | + | 0.960837i | \(0.410622\pi\) | |||||||
\(8\) | 0.867838 | − | 1.63692i | 0.306827 | − | 0.578737i | ||||
\(9\) | −0.856857 | − | 0.515554i | −0.285619 | − | 0.171851i | ||||
\(10\) | −6.65167 | + | 3.07739i | −2.10344 | + | 0.973156i | ||||
\(11\) | 0.00152925 | − | 0.00116250i | 0.000461085 | − | 0.000350508i | −0.604944 | − | 0.796268i | \(-0.706804\pi\) |
0.605405 | + | 0.795918i | \(0.293011\pi\) | |||||||
\(12\) | 0.513374 | − | 0.757170i | 0.148198 | − | 0.218576i | ||||
\(13\) | 1.61209 | − | 0.969960i | 0.447112 | − | 0.269019i | −0.274142 | − | 0.961689i | \(-0.588394\pi\) |
0.721254 | + | 0.692671i | \(0.243566\pi\) | |||||||
\(14\) | −0.0313434 | − | 0.578095i | −0.00837687 | − | 0.154502i | ||||
\(15\) | 4.06811 | − | 1.37071i | 1.05038 | − | 0.353915i | ||||
\(16\) | −3.97469 | − | 3.02148i | −0.993672 | − | 0.755370i | ||||
\(17\) | −1.13865 | − | 0.250635i | −0.276163 | − | 0.0607880i | 0.0747297 | − | 0.997204i | \(-0.476191\pi\) |
−0.350892 | + | 0.936416i | \(0.614122\pi\) | |||||||
\(18\) | −1.10527 | + | 1.30122i | −0.260514 | + | 0.306701i | ||||
\(19\) | 3.48773 | − | 0.379314i | 0.800141 | − | 0.0870205i | 0.301093 | − | 0.953595i | \(-0.402649\pi\) |
0.499048 | + | 0.866574i | \(0.333683\pi\) | |||||||
\(20\) | 1.05061 | + | 3.78394i | 0.234923 | + | 0.846115i | ||||
\(21\) | −0.0183587 | + | 0.338606i | −0.00400619 | + | 0.0738899i | ||||
\(22\) | −0.00153618 | − | 0.00289755i | −0.000327515 | − | 0.000617759i | ||||
\(23\) | 2.65197 | + | 3.12214i | 0.552973 | + | 0.651010i | 0.965644 | − | 0.259870i | \(-0.0836797\pi\) |
−0.412670 | + | 0.910880i | \(0.635404\pi\) | |||||||
\(24\) | 1.34508 | + | 1.27413i | 0.274563 | + | 0.260080i | ||||
\(25\) | −4.97035 | + | 12.4746i | −0.994071 | + | 2.49493i | ||||
\(26\) | −1.18891 | − | 2.98393i | −0.233164 | − | 0.585197i | ||||
\(27\) | 0.725995 | − | 0.687699i | 0.139718 | − | 0.132348i | ||||
\(28\) | −0.308393 | − | 0.0335398i | −0.0582809 | − | 0.00633843i | ||||
\(29\) | 1.38624 | + | 8.45568i | 0.257418 | + | 1.57018i | 0.726589 | + | 0.687073i | \(0.241105\pi\) |
−0.469171 | + | 0.883107i | \(0.655447\pi\) | |||||||
\(30\) | −1.18571 | − | 7.23250i | −0.216480 | − | 1.32047i | ||||
\(31\) | 9.43823 | + | 1.02647i | 1.69516 | + | 0.184359i | 0.904081 | − | 0.427361i | \(-0.140557\pi\) |
0.791074 | + | 0.611720i | \(0.209522\pi\) | |||||||
\(32\) | −3.49823 | + | 3.31370i | −0.618405 | + | 0.585784i | ||||
\(33\) | 0.000711013 | 0.00178451i | 0.000123771 | 0.000310643i | ||||||
\(34\) | −0.736769 | + | 1.84915i | −0.126355 | + | 0.317127i | ||||
\(35\) | −1.05684 | − | 1.00109i | −0.178639 | − | 0.169215i | ||||
\(36\) | 0.592229 | + | 0.697226i | 0.0987049 | + | 0.116204i | ||||
\(37\) | −3.16402 | − | 5.96797i | −0.520162 | − | 0.981129i | −0.994887 | − | 0.100995i | \(-0.967797\pi\) |
0.474725 | − | 0.880134i | \(-0.342547\pi\) | |||||||
\(38\) | 0.324273 | − | 5.98086i | 0.0526040 | − | 0.970223i | ||||
\(39\) | 0.503326 | + | 1.81282i | 0.0805967 | + | 0.290283i | ||||
\(40\) | −7.90686 | + | 0.859923i | −1.25018 | + | 0.135966i | ||||
\(41\) | 6.48244 | − | 7.63171i | 1.01239 | − | 1.19187i | 0.0310612 | − | 0.999517i | \(-0.490111\pi\) |
0.981325 | − | 0.192356i | \(-0.0616128\pi\) | |||||||
\(42\) | 0.565408 | + | 0.124456i | 0.0872444 | + | 0.0192039i | ||||
\(43\) | −1.69305 | − | 1.28703i | −0.258188 | − | 0.196270i | 0.468070 | − | 0.883691i | \(-0.344949\pi\) |
−0.726259 | + | 0.687422i | \(0.758743\pi\) | |||||||
\(44\) | −0.00166529 | 0.000561101i | −0.000251052 | 8.45892e-5i | ||||||
\(45\) | 0.232409 | + | 4.28653i | 0.0346455 | + | 0.638998i | ||||
\(46\) | 5.99263 | − | 3.60565i | 0.883565 | − | 0.531623i | ||||
\(47\) | 0.206692 | − | 0.304848i | 0.0301491 | − | 0.0444666i | −0.812316 | − | 0.583218i | \(-0.801793\pi\) |
0.842465 | + | 0.538751i | \(0.181104\pi\) | |||||||
\(48\) | 3.97469 | − | 3.02148i | 0.573697 | − | 0.436113i | ||||
\(49\) | −6.24866 | + | 2.89094i | −0.892666 | + | 0.412991i | ||||
\(50\) | 19.6443 | + | 11.8196i | 2.77812 | + | 1.67154i | ||||
\(51\) | 0.546120 | − | 1.03009i | 0.0764721 | − | 0.144242i | ||||
\(52\) | −1.68086 | + | 0.369986i | −0.233094 | + | 0.0513078i | ||||
\(53\) | 9.03443 | + | 4.17977i | 1.24097 | + | 0.574136i | 0.926917 | − | 0.375268i | \(-0.122449\pi\) |
0.314058 | + | 0.949404i | \(0.398311\pi\) | |||||||
\(54\) | −0.958103 | − | 1.41310i | −0.130381 | − | 0.192298i | ||||
\(55\) | −0.00781460 | − | 0.00263304i | −0.00105372 | − | 0.000355040i | ||||
\(56\) | 0.168080 | − | 0.605369i | 0.0224606 | − | 0.0808958i | ||||
\(57\) | −0.567579 | + | 3.46208i | −0.0751777 | + | 0.458564i | ||||
\(58\) | 14.6289 | 1.92087 | ||||||||
\(59\) | −7.10706 | − | 2.91370i | −0.925261 | − | 0.379332i | ||||
\(60\) | −3.92708 | −0.506984 | ||||||||
\(61\) | 0.0632710 | − | 0.385936i | 0.00810103 | − | 0.0494141i | −0.982467 | − | 0.186438i | \(-0.940306\pi\) |
0.990568 | + | 0.137024i | \(0.0437538\pi\) | |||||||
\(62\) | 4.33629 | − | 15.6179i | 0.550709 | − | 1.98347i | ||||
\(63\) | −0.321352 | − | 0.108276i | −0.0404866 | − | 0.0136415i | ||||
\(64\) | −0.987081 | − | 1.45584i | −0.123385 | − | 0.181980i | ||||
\(65\) | −7.33003 | − | 3.39124i | −0.909179 | − | 0.420631i | ||||
\(66\) | 0.00320290 | 0.000705013i | 0.000394250 | 8.67810e-5i | ||||||
\(67\) | 2.23312 | − | 4.21210i | 0.272819 | − | 0.514590i | −0.708808 | − | 0.705401i | \(-0.750767\pi\) |
0.981627 | + | 0.190811i | \(0.0611117\pi\) | |||||||
\(68\) | 0.913899 | + | 0.549875i | 0.110827 | + | 0.0666821i | ||||
\(69\) | −3.71781 | + | 1.72004i | −0.447572 | + | 0.207069i | ||||
\(70\) | −1.97853 | + | 1.50404i | −0.236480 | + | 0.179768i | ||||
\(71\) | −7.04255 | + | 10.3870i | −0.835797 | + | 1.23271i | 0.134530 | + | 0.990910i | \(0.457048\pi\) |
−0.970327 | + | 0.241798i | \(0.922263\pi\) | |||||||
\(72\) | −1.58753 | + | 0.955186i | −0.187092 | + | 0.112570i | ||||
\(73\) | −0.205393 | − | 3.78824i | −0.0240394 | − | 0.443380i | −0.985633 | − | 0.168902i | \(-0.945978\pi\) |
0.961593 | − | 0.274478i | \(-0.0885050\pi\) | |||||||
\(74\) | −10.9287 | + | 3.68231i | −1.27044 | + | 0.428059i | ||||
\(75\) | −10.6902 | − | 8.12650i | −1.23440 | − | 0.938368i | ||||
\(76\) | −3.13436 | − | 0.689925i | −0.359536 | − | 0.0791398i | ||||
\(77\) | 0.000421705 | 0 | 0.000496470i | 4.80578e−5 | 0 | 5.65780e-5i | ||||
\(78\) | 3.19324 | − | 0.347285i | 0.361563 | − | 0.0393223i | ||||
\(79\) | 1.63623 | + | 5.89317i | 0.184090 | + | 0.663034i | 0.996769 | + | 0.0803216i | \(0.0255947\pi\) |
−0.812679 | + | 0.582712i | \(0.801991\pi\) | |||||||
\(80\) | −1.16036 | + | 21.4015i | −0.129732 | + | 2.39277i | ||||
\(81\) | 0.468408 | + | 0.883512i | 0.0520454 | + | 0.0981680i | ||||
\(82\) | −11.0673 | − | 13.0295i | −1.22218 | − | 1.43886i | ||||
\(83\) | −6.90228 | − | 6.53818i | −0.757623 | − | 0.717659i | 0.207850 | − | 0.978161i | \(-0.433353\pi\) |
−0.965473 | + | 0.260502i | \(0.916112\pi\) | |||||||
\(84\) | 0.114821 | − | 0.288180i | 0.0125280 | − | 0.0314430i | ||||
\(85\) | 1.85255 | + | 4.64956i | 0.200938 | + | 0.504315i | ||||
\(86\) | −2.63600 | + | 2.49695i | −0.284247 | + | 0.269253i | ||||
\(87\) | −8.51833 | − | 0.926424i | −0.913261 | − | 0.0993231i | ||||
\(88\) | −0.000575782 | − | 0.00351211i | −6.13785e−5 | − | 0.000374392i | ||||
\(89\) | 1.15561 | + | 7.04894i | 0.122495 | + | 0.747186i | 0.974623 | + | 0.223852i | \(0.0718634\pi\) |
−0.852128 | + | 0.523333i | \(0.824688\pi\) | |||||||
\(90\) | 7.28609 | + | 0.792410i | 0.768021 | + | 0.0835274i | ||||
\(91\) | 0.463176 | − | 0.438743i | 0.0485540 | − | 0.0459928i | ||||
\(92\) | −1.38706 | − | 3.48126i | −0.144611 | − | 0.362946i | ||||
\(93\) | −3.51405 | + | 8.81959i | −0.364390 | + | 0.914549i | ||||
\(94\) | −0.456514 | − | 0.432433i | −0.0470858 | − | 0.0446021i | ||||
\(95\) | −9.74997 | − | 11.4786i | −1.00033 | − | 1.17767i | ||||
\(96\) | −2.25704 | − | 4.25722i | −0.230358 | − | 0.434501i | ||||
\(97\) | −0.336326 | + | 6.20316i | −0.0341487 | + | 0.629835i | 0.930499 | + | 0.366294i | \(0.119373\pi\) |
−0.964648 | + | 0.263542i | \(0.915109\pi\) | |||||||
\(98\) | 3.14470 | + | 11.3262i | 0.317662 | + | 1.14412i | ||||
\(99\) | −0.00190968 | 0.000207690i | −0.000191930 | 2.08736e-5i | ||||||
\(100\) | 7.95268 | − | 9.36261i | 0.795268 | − | 0.936261i | ||||
\(101\) | −19.0035 | − | 4.18300i | −1.89092 | − | 0.416224i | −0.891593 | − | 0.452837i | \(-0.850412\pi\) |
−0.999330 | + | 0.0366134i | \(0.988343\pi\) | |||||||
\(102\) | −1.58464 | − | 1.20461i | −0.156903 | − | 0.119275i | ||||
\(103\) | 10.7098 | − | 3.60854i | 1.05526 | − | 0.355560i | 0.262400 | − | 0.964959i | \(-0.415486\pi\) |
0.792863 | + | 0.609400i | \(0.208589\pi\) | |||||||
\(104\) | −0.188714 | − | 3.48062i | −0.0185049 | − | 0.341303i | ||||
\(105\) | 1.24734 | − | 0.750498i | 0.121728 | − | 0.0732411i | ||||
\(106\) | 9.53741 | − | 14.0666i | 0.926355 | − | 1.36627i | ||||
\(107\) | 9.53811 | − | 7.25068i | 0.922084 | − | 0.700950i | −0.0323172 | − | 0.999478i | \(-0.510289\pi\) |
0.954401 | + | 0.298528i | \(0.0964956\pi\) | |||||||
\(108\) | −0.830251 | + | 0.384115i | −0.0798909 | + | 0.0369615i | ||||
\(109\) | 7.15638 | + | 4.30585i | 0.685457 | + | 0.412426i | 0.815245 | − | 0.579116i | \(-0.196602\pi\) |
−0.129788 | + | 0.991542i | \(0.541430\pi\) | |||||||
\(110\) | −0.00659457 | + | 0.0124387i | −0.000628767 | + | 0.00118598i | ||||
\(111\) | 6.59691 | − | 1.45209i | 0.626151 | − | 0.137826i | ||||
\(112\) | −1.53657 | − | 0.710895i | −0.145193 | − | 0.0671733i | ||||
\(113\) | 0.966904 | + | 1.42608i | 0.0909587 | + | 0.134154i | 0.870446 | − | 0.492264i | \(-0.163831\pi\) |
−0.779487 | + | 0.626418i | \(0.784520\pi\) | |||||||
\(114\) | 5.67610 | + | 1.91250i | 0.531616 | + | 0.179122i | ||||
\(115\) | 4.70455 | − | 16.9442i | 0.438701 | − | 1.58006i | ||||
\(116\) | 1.26813 | − | 7.73526i | 0.117743 | − | 0.718201i | ||||
\(117\) | −1.88139 | −0.173935 | ||||||||
\(118\) | −6.87199 | + | 11.1691i | −0.632618 | + | 1.02820i | ||||
\(119\) | −0.395362 | −0.0362428 | ||||||||
\(120\) | 1.28673 | − | 7.84871i | 0.117462 | − | 0.716486i | ||||
\(121\) | −2.94281 | + | 10.5990i | −0.267528 | + | 0.963550i | ||||
\(122\) | −0.632745 | − | 0.213197i | −0.0572860 | − | 0.0193019i | ||||
\(123\) | 5.61930 | + | 8.28785i | 0.506675 | + | 0.747290i | ||||
\(124\) | −7.88230 | − | 3.64674i | −0.707851 | − | 0.327487i | ||||
\(125\) | 35.3356 | − | 7.77796i | 3.16052 | − | 0.695682i | ||||
\(126\) | −0.271182 | + | 0.511504i | −0.0241588 | + | 0.0455684i | ||||
\(127\) | −5.86741 | − | 3.53030i | −0.520648 | − | 0.313264i | 0.230860 | − | 0.972987i | \(-0.425846\pi\) |
−0.751509 | + | 0.659723i | \(0.770674\pi\) | |||||||
\(128\) | −11.4718 | + | 5.30740i | −1.01397 | + | 0.469113i | ||||
\(129\) | 1.69305 | − | 1.28703i | 0.149065 | − | 0.113316i | ||||
\(130\) | −7.73812 | + | 11.4129i | −0.678678 | + | 1.00097i | ||||
\(131\) | −2.55633 | + | 1.53809i | −0.223347 | + | 0.134384i | −0.622830 | − | 0.782357i | \(-0.714017\pi\) |
0.399483 | + | 0.916741i | \(0.369190\pi\) | |||||||
\(132\) | −9.51370e−5 | − | 0.00175470i | −8.28062e−6 | − | 0.000152727i | ||||
\(133\) | 1.12740 | − | 0.379865i | 0.0977579 | − | 0.0329385i | ||||
\(134\) | −6.47970 | − | 4.92574i | −0.559761 | − | 0.425519i | ||||
\(135\) | −4.19246 | − | 0.922831i | −0.360830 | − | 0.0794247i | ||||
\(136\) | −1.39843 | + | 1.64636i | −0.119914 | + | 0.141174i | ||||
\(137\) | −10.0101 | + | 1.08866i | −0.855217 | + | 0.0930104i | −0.525215 | − | 0.850970i | \(-0.676015\pi\) |
−0.330002 | + | 0.943980i | \(0.607049\pi\) | |||||||
\(138\) | 1.87102 | + | 6.73881i | 0.159272 | + | 0.573646i | ||||
\(139\) | 0.240137 | − | 4.42907i | 0.0203682 | − | 0.375669i | −0.970523 | − | 0.241007i | \(-0.922522\pi\) |
0.990892 | − | 0.134662i | \(-0.0429949\pi\) | |||||||
\(140\) | 0.623773 | + | 1.17656i | 0.0527184 | + | 0.0994375i | ||||
\(141\) | 0.238440 | + | 0.280713i | 0.0200803 | + | 0.0236403i | ||||
\(142\) | 15.5547 | + | 14.7342i | 1.30532 | + | 1.23646i | ||||
\(143\) | 0.00133770 | − | 0.00335736i | 0.000111864 | − | 0.000280757i | ||||
\(144\) | 1.84800 | + | 4.63814i | 0.154000 | + | 0.386512i | ||||
\(145\) | 26.7045 | − | 25.2959i | 2.21769 | − | 2.10071i | ||||
\(146\) | −6.43912 | − | 0.700296i | −0.532905 | − | 0.0579569i | ||||
\(147\) | −1.11387 | − | 6.79431i | −0.0918705 | − | 0.560385i | ||||
\(148\) | 0.999703 | + | 6.09792i | 0.0821751 | + | 0.501246i | ||||
\(149\) | 5.43777 | + | 0.591393i | 0.445479 | + | 0.0484488i | 0.328110 | − | 0.944640i | \(-0.393588\pi\) |
0.117369 | + | 0.993088i | \(0.462554\pi\) | |||||||
\(150\) | −16.6442 | + | 15.7662i | −1.35899 | + | 1.28730i | ||||
\(151\) | 5.13406 | + | 12.8855i | 0.417804 | + | 1.04861i | 0.975781 | + | 0.218751i | \(0.0701984\pi\) |
−0.557977 | + | 0.829856i | \(0.688422\pi\) | |||||||
\(152\) | 2.40588 | − | 6.03831i | 0.195143 | − | 0.489771i | ||||
\(153\) | 0.846442 | + | 0.801793i | 0.0684308 | + | 0.0648211i | ||||
\(154\) | −0.000719969 | 0 | 0.000847612i | −5.80167e−5 | 0 | 6.83026e-5i | ||||
\(155\) | −19.0903 | − | 36.0081i | −1.53337 | − | 2.89224i | ||||
\(156\) | 0.0931785 | − | 1.71858i | 0.00746025 | − | 0.137596i | ||||
\(157\) | 3.92623 | + | 14.1410i | 0.313347 | + | 1.12857i | 0.937704 | + | 0.347435i | \(0.112947\pi\) |
−0.624357 | + | 0.781139i | \(0.714639\pi\) | |||||||
\(158\) | 10.3807 | − | 1.12897i | 0.825843 | − | 0.0898158i | ||||
\(159\) | −6.44439 | + | 7.58692i | −0.511073 | + | 0.601682i | ||||
\(160\) | 20.2015 | + | 4.44668i | 1.59707 | + | 0.351541i | ||||
\(161\) | 1.10586 | + | 0.840653i | 0.0871540 | + | 0.0662528i | ||||
\(162\) | 1.61791 | − | 0.545137i | 0.127115 | − | 0.0428300i | ||||
\(163\) | −1.01350 | − | 18.6930i | −0.0793837 | − | 1.46415i | −0.718764 | − | 0.695255i | \(-0.755292\pi\) |
0.639380 | − | 0.768891i | \(-0.279191\pi\) | |||||||
\(164\) | −7.84891 | + | 4.72254i | −0.612897 | + | 0.368768i | ||||
\(165\) | 0.00462770 | − | 0.00682534i | 0.000360266 | − | 0.000531352i | ||||
\(166\) | −12.9219 | + | 9.82298i | −1.00293 | + | 0.762411i | ||||
\(167\) | −1.56726 | + | 0.725090i | −0.121278 | + | 0.0561091i | −0.479590 | − | 0.877493i | \(-0.659215\pi\) |
0.358312 | + | 0.933602i | \(0.383352\pi\) | |||||||
\(168\) | 0.538337 | + | 0.323907i | 0.0415336 | + | 0.0249899i | ||||
\(169\) | −4.43131 | + | 8.35834i | −0.340870 | + | 0.642949i | ||||
\(170\) | 8.34521 | − | 1.83692i | 0.640048 | − | 0.140885i | ||||
\(171\) | −3.18404 | − | 1.47310i | −0.243490 | − | 0.112650i | ||||
\(172\) | 1.09180 | + | 1.61028i | 0.0832486 | + | 0.122782i | ||||
\(173\) | 14.6720 | + | 4.94359i | 1.11550 | + | 0.375854i | 0.815889 | − | 0.578209i | \(-0.196248\pi\) |
0.299606 | + | 0.954063i | \(0.403145\pi\) | |||||||
\(174\) | −3.91365 | + | 14.0957i | −0.296693 | + | 1.06859i | ||||
\(175\) | −0.736691 | + | 4.49362i | −0.0556886 | + | 0.339686i | ||||
\(176\) | −0.00959075 | −0.000722930 | ||||||||
\(177\) | 4.70884 | − | 6.06851i | 0.353938 | − | 0.456137i | ||||
\(178\) | 12.1951 | 0.914065 | ||||||||
\(179\) | −2.56603 | + | 15.6521i | −0.191794 | + | 1.16989i | 0.698875 | + | 0.715243i | \(0.253684\pi\) |
−0.890670 | + | 0.454651i | \(0.849764\pi\) | |||||||
\(180\) | 1.05061 | − | 3.78394i | 0.0783075 | − | 0.282038i | ||||
\(181\) | 13.0145 | + | 4.38509i | 0.967358 | + | 0.325941i | 0.758259 | − | 0.651954i | \(-0.226050\pi\) |
0.209099 | + | 0.977894i | \(0.432947\pi\) | |||||||
\(182\) | −0.611257 | − | 0.901537i | −0.0453094 | − | 0.0668263i | ||||
\(183\) | 0.354942 | + | 0.164214i | 0.0262381 | + | 0.0121390i | ||||
\(184\) | 7.41215 | − | 1.63154i | 0.546431 | − | 0.120279i | ||||
\(185\) | −13.5826 | + | 25.6195i | −0.998612 | + | 1.88358i | ||||
\(186\) | 13.8885 | + | 8.35646i | 1.01836 | + | 0.612725i | ||||
\(187\) | −0.00203264 | 0.000940398i | −0.000148641 | 6.87687e-5i | ||||||
\(188\) | −0.268229 | + | 0.203902i | −0.0195626 | + | 0.0148711i | ||||
\(189\) | 0.190300 | − | 0.280672i | 0.0138423 | − | 0.0204159i | ||||
\(190\) | −22.0319 | + | 13.2562i | −1.59837 | + | 0.961704i | ||||
\(191\) | 1.27232 | + | 23.4665i | 0.0920616 | + | 1.69798i | 0.571662 | + | 0.820489i | \(0.306299\pi\) |
−0.479601 | + | 0.877487i | \(0.659218\pi\) | |||||||
\(192\) | 1.66684 | − | 0.561625i | 0.120294 | − | 0.0405318i | ||||
\(193\) | −9.61290 | − | 7.30753i | −0.691952 | − | 0.526008i | 0.199061 | − | 0.979987i | \(-0.436211\pi\) |
−0.891012 | + | 0.453979i | \(0.850004\pi\) | |||||||
\(194\) | 10.3581 | + | 2.27999i | 0.743669 | + | 0.163694i | ||||
\(195\) | 5.22862 | − | 6.15560i | 0.374429 | − | 0.440812i | ||||
\(196\) | 6.26149 | − | 0.680978i | 0.447249 | − | 0.0486413i | ||||
\(197\) | −6.05184 | − | 21.7968i | −0.431176 | − | 1.55296i | −0.786124 | − | 0.618069i | \(-0.787915\pi\) |
0.354948 | − | 0.934886i | \(-0.384499\pi\) | |||||||
\(198\) | −0.000177553 | 0.00327477i | −1.26181e−5 | 0.000232728i | ||||||
\(199\) | −5.53514 | − | 10.4404i | −0.392376 | − | 0.740100i | 0.606094 | − | 0.795393i | \(-0.292735\pi\) |
−0.998470 | + | 0.0552933i | \(0.982391\pi\) | |||||||
\(200\) | 16.1065 | + | 18.9620i | 1.13890 | + | 1.34082i | ||||
\(201\) | 3.46115 | + | 3.27858i | 0.244131 | + | 0.231253i | ||||
\(202\) | −12.2964 | + | 30.8616i | −0.865170 | + | 2.17141i | ||||
\(203\) | 1.07548 | + | 2.69926i | 0.0754841 | + | 0.189451i | ||||
\(204\) | −0.774326 | + | 0.733480i | −0.0542136 | + | 0.0513539i | ||||
\(205\) | −42.7331 | − | 4.64751i | −2.98461 | − | 0.324596i | ||||
\(206\) | −3.12151 | − | 19.0404i | −0.217486 | − | 1.32660i | ||||
\(207\) | −0.662727 | − | 4.04246i | −0.0460627 | − | 0.280970i | ||||
\(208\) | −9.33825 | − | 1.01560i | −0.647491 | − | 0.0704189i | ||||
\(209\) | 0.00489265 | − | 0.00463456i | 0.000338432 | − | 0.000320579i | ||||
\(210\) | −0.919907 | − | 2.30879i | −0.0634796 | − | 0.159322i | ||||
\(211\) | 4.98833 | − | 12.5198i | 0.343411 | − | 0.861897i | −0.651265 | − | 0.758850i | \(-0.725762\pi\) |
0.994676 | − | 0.103047i | \(-0.0328592\pi\) | |||||||
\(212\) | −6.61117 | − | 6.26244i | −0.454057 | − | 0.430106i | ||||
\(213\) | −8.12429 | − | 9.56466i | −0.556667 | − | 0.655360i | ||||
\(214\) | −9.58137 | − | 18.0724i | −0.654969 | − | 1.23540i | ||||
\(215\) | −0.494265 | + | 9.11618i | −0.0337086 | + | 0.621719i | ||||
\(216\) | −0.495660 | − | 1.78521i | −0.0337254 | − | 0.121468i | ||||
\(217\) | 3.20053 | − | 0.348079i | 0.217266 | − | 0.0236291i | ||||
\(218\) | 9.23109 | − | 10.8677i | 0.625208 | − | 0.736052i | ||||
\(219\) | 3.70511 | + | 0.815556i | 0.250368 | + | 0.0551102i | ||||
\(220\) | 0.00600548 | + | 0.00456524i | 0.000404889 | + | 0.000307789i | ||||
\(221\) | −2.07870 | + | 0.700397i | −0.139829 | + | 0.0471138i | ||||
\(222\) | −0.624350 | − | 11.5155i | −0.0419037 | − | 0.772868i | ||||
\(223\) | 5.15114 | − | 3.09934i | 0.344946 | − | 0.207547i | −0.332529 | − | 0.943093i | \(-0.607902\pi\) |
0.677475 | + | 0.735546i | \(0.263074\pi\) | |||||||
\(224\) | −0.916967 | + | 1.35243i | −0.0612674 | + | 0.0903627i | ||||
\(225\) | 10.6902 | − | 8.12650i | 0.712682 | − | 0.541767i | ||||
\(226\) | 2.66970 | − | 1.23514i | 0.177586 | − | 0.0821600i | ||||
\(227\) | 6.83096 | + | 4.11006i | 0.453387 | + | 0.272794i | 0.723877 | − | 0.689929i | \(-0.242358\pi\) |
−0.270490 | + | 0.962723i | \(0.587186\pi\) | |||||||
\(228\) | 1.50331 | − | 2.83554i | 0.0995589 | − | 0.187788i | ||||
\(229\) | −12.1422 | + | 2.67270i | −0.802378 | + | 0.176617i | −0.597184 | − | 0.802104i | \(-0.703714\pi\) |
−0.205194 | + | 0.978721i | \(0.565783\pi\) | |||||||
\(230\) | −27.2480 | − | 12.6063i | −1.79668 | − | 0.831234i | ||||
\(231\) | 0.000365555 | 0 | 0.000539154i | 2.40518e−5 | 0 | 3.54737e-5i | ||||
\(232\) | 15.0443 | + | 5.06900i | 0.987705 | + | 0.332796i | ||||
\(233\) | −6.70957 | + | 24.1657i | −0.439559 | + | 1.58315i | 0.329620 | + | 0.944114i | \(0.393080\pi\) |
−0.769178 | + | 0.639034i | \(0.779334\pi\) | |||||||
\(234\) | −0.519654 | + | 3.16975i | −0.0339709 | + | 0.207213i | ||||
\(235\) | −1.58110 | −0.103140 | ||||||||
\(236\) | 5.31013 | + | 4.60188i | 0.345660 | + | 0.299557i | ||||
\(237\) | −6.11611 | −0.397284 | ||||||||
\(238\) | −0.109202 | + | 0.666102i | −0.00707850 | + | 0.0431770i | ||||
\(239\) | −2.84668 | + | 10.2528i | −0.184137 | + | 0.663200i | 0.812625 | + | 0.582787i | \(0.198038\pi\) |
−0.996762 | + | 0.0804131i | \(0.974376\pi\) | |||||||
\(240\) | −20.3110 | − | 6.84358i | −1.31107 | − | 0.441751i | ||||
\(241\) | −2.78639 | − | 4.10961i | −0.179487 | − | 0.264723i | 0.727294 | − | 0.686326i | \(-0.240778\pi\) |
−0.906780 | + | 0.421603i | \(0.861468\pi\) | |||||||
\(242\) | 17.0443 | + | 7.88554i | 1.09565 | + | 0.506902i | ||||
\(243\) | −0.976621 | + | 0.214970i | −0.0626502 | + | 0.0137904i | ||||
\(244\) | −0.167581 | + | 0.316092i | −0.0107283 | + | 0.0202357i | ||||
\(245\) | 25.3254 | + | 15.2378i | 1.61798 | + | 0.973507i | ||||
\(246\) | 15.5154 | − | 7.17817i | 0.989223 | − | 0.457663i | ||||
\(247\) | 5.25460 | − | 3.99445i | 0.334342 | − | 0.254161i | ||||
\(248\) | 9.87110 | − | 14.5588i | 0.626815 | − | 0.924483i | ||||
\(249\) | 8.14642 | − | 4.90154i | 0.516258 | − | 0.310622i | ||||
\(250\) | −3.34427 | − | 61.6814i | −0.211510 | − | 3.90107i | ||||
\(251\) | 4.09479 | − | 1.37969i | 0.258461 | − | 0.0870855i | −0.187088 | − | 0.982343i | \(-0.559905\pi\) |
0.445549 | + | 0.895258i | \(0.353009\pi\) | |||||||
\(252\) | 0.246958 | + | 0.187732i | 0.0155569 | + | 0.0118260i | ||||
\(253\) | 0.00768500 | + | 0.00169160i | 0.000483152 | + | 0.000106350i | ||||
\(254\) | −7.56843 | + | 8.91025i | −0.474886 | + | 0.559079i | ||||
\(255\) | −4.97569 | + | 0.541139i | −0.311590 | + | 0.0338874i | ||||
\(256\) | 4.83215 | + | 17.4038i | 0.302009 | + | 1.08774i | ||||
\(257\) | 0.364601 | − | 6.72467i | 0.0227432 | − | 0.419474i | −0.964886 | − | 0.262668i | \(-0.915398\pi\) |
0.987629 | − | 0.156806i | \(-0.0501196\pi\) | |||||||
\(258\) | −1.70073 | − | 3.20792i | −0.105883 | − | 0.199717i | ||||
\(259\) | −1.48289 | − | 1.74580i | −0.0921425 | − | 0.108479i | ||||
\(260\) | 5.36394 | + | 5.08099i | 0.332657 | + | 0.315110i | ||||
\(261\) | 3.17155 | − | 7.95999i | 0.196314 | − | 0.492711i | ||||
\(262\) | 1.88528 | + | 4.73170i | 0.116473 | + | 0.292326i | ||||
\(263\) | 18.2605 | − | 17.2973i | 1.12599 | − | 1.06659i | 0.128801 | − | 0.991670i | \(-0.458887\pi\) |
0.997189 | − | 0.0749245i | \(-0.0238716\pi\) | |||||||
\(264\) | 0.00353813 | 0.000384795i | 0.000217757 | 2.36825e-5i | ||||||
\(265\) | −6.91340 | − | 42.1699i | −0.424687 | − | 2.59048i | ||||
\(266\) | −0.328597 | − | 2.00435i | −0.0201475 | − | 0.122895i | ||||
\(267\) | −7.10116 | − | 0.772298i | −0.434584 | − | 0.0472639i | ||||
\(268\) | −3.16626 | + | 2.99924i | −0.193410 | + | 0.183208i | ||||
\(269\) | −4.79710 | − | 12.0398i | −0.292484 | − | 0.734080i | −0.999635 | − | 0.0270170i | \(-0.991399\pi\) |
0.707151 | − | 0.707063i | \(-0.249980\pi\) | |||||||
\(270\) | −2.71276 | + | 6.80852i | −0.165093 | + | 0.414353i | ||||
\(271\) | 9.48807 | + | 8.98758i | 0.576359 | + | 0.545956i | 0.919380 | − | 0.393372i | \(-0.128691\pi\) |
−0.343020 | + | 0.939328i | \(0.611450\pi\) | |||||||
\(272\) | 3.76848 | + | 4.43659i | 0.228497 | + | 0.269008i | ||||
\(273\) | 0.298838 | + | 0.563669i | 0.0180865 | + | 0.0341148i | ||||
\(274\) | −0.930687 | + | 17.1655i | −0.0562249 | + | 1.03701i | ||||
\(275\) | 0.00690092 | + | 0.0248549i | 0.000416141 | + | 0.00149880i | ||||
\(276\) | 3.72544 | − | 0.405166i | 0.224245 | − | 0.0243881i | ||||
\(277\) | −4.82158 | + | 5.67640i | −0.289700 | + | 0.341062i | −0.887690 | − | 0.460443i | \(-0.847691\pi\) |
0.597989 | + | 0.801504i | \(0.295967\pi\) | |||||||
\(278\) | −7.39572 | − | 1.62792i | −0.443566 | − | 0.0976362i | ||||
\(279\) | −7.55801 | − | 5.74545i | −0.452486 | − | 0.343971i | ||||
\(280\) | −2.55587 | + | 0.861173i | −0.152742 | + | 0.0514649i | ||||
\(281\) | 0.882206 | + | 16.2713i | 0.0526280 | + | 0.970666i | 0.898966 | + | 0.438019i | \(0.144320\pi\) |
−0.846337 | + | 0.532647i | \(0.821197\pi\) | |||||||
\(282\) | 0.538801 | − | 0.324186i | 0.0320851 | − | 0.0193050i | ||||
\(283\) | −6.85150 | + | 10.1052i | −0.407279 | + | 0.600692i | −0.974912 | − | 0.222590i | \(-0.928549\pi\) |
0.567633 | + | 0.823282i | \(0.307859\pi\) | |||||||
\(284\) | 9.13929 | − | 6.94751i | 0.542317 | − | 0.412259i | ||||
\(285\) | 13.6686 | − | 6.32375i | 0.809655 | − | 0.374586i | ||||
\(286\) | −0.00528696 | − | 0.00318106i | −0.000312625 | − | 0.000188100i | ||||
\(287\) | 1.59049 | − | 2.99999i | 0.0938837 | − | 0.177084i | ||||
\(288\) | 4.70587 | − | 1.03584i | 0.277296 | − | 0.0610375i | ||||
\(289\) | −14.1951 | − | 6.56734i | −0.835005 | − | 0.386314i | ||||
\(290\) | −35.2422 | − | 51.9784i | −2.06949 | − | 3.05228i | ||||
\(291\) | −5.88708 | − | 1.98359i | −0.345107 | − | 0.116280i | ||||
\(292\) | −0.928478 | + | 3.34407i | −0.0543350 | + | 0.195697i | ||||
\(293\) | 1.53826 | − | 9.38295i | 0.0898659 | − | 0.548158i | −0.903069 | − | 0.429496i | \(-0.858691\pi\) |
0.992935 | − | 0.118662i | \(-0.0378604\pi\) | |||||||
\(294\) | −11.7546 | −0.685544 | ||||||||
\(295\) | 6.76873 | + | 32.2716i | 0.394091 | + | 1.87893i | ||||
\(296\) | −12.5149 | −0.727416 | ||||||||
\(297\) | 0.000310773 | − | 0.00189563i | 1.80329e−5 | − | 0.000109996i | ||||
\(298\) | 2.49832 | − | 8.99814i | 0.144724 | − | 0.521248i | ||||
\(299\) | 7.30355 | + | 2.46085i | 0.422375 | + | 0.142315i | ||||
\(300\) | 6.89378 | + | 10.1676i | 0.398013 | + | 0.587025i | ||||
\(301\) | −0.654518 | − | 0.302812i | −0.0377258 | − | 0.0174538i | ||||
\(302\) | 23.1274 | − | 5.09073i | 1.33083 | − | 0.292938i | ||||
\(303\) | 9.11451 | − | 17.1918i | 0.523615 | − | 0.987643i | ||||
\(304\) | −15.0087 | − | 9.03045i | −0.860810 | − | 0.517932i | ||||
\(305\) | −1.52371 | + | 0.704941i | −0.0872471 | + | 0.0403648i | ||||
\(306\) | 1.58464 | − | 1.20461i | 0.0905880 | − | 0.0688632i | ||||
\(307\) | −19.3450 | + | 28.5317i | −1.10408 | + | 1.62839i | −0.403198 | + | 0.915113i | \(0.632101\pi\) |
−0.700879 | + | 0.713280i | \(0.747209\pi\) | |||||||
\(308\) | −0.000510600 | 0 | 0.000307218i | −2.90941e−5 | 0 | 1.75053e-5i | ||||
\(309\) | 0.611842 | + | 11.2848i | 0.0348065 | + | 0.641968i | ||||
\(310\) | −65.9388 | + | 22.2174i | −3.74507 | + | 1.26186i | ||||
\(311\) | 1.35458 | + | 1.02972i | 0.0768109 | + | 0.0583901i | 0.642875 | − | 0.765971i | \(-0.277741\pi\) |
−0.566064 | + | 0.824361i | \(0.691535\pi\) | |||||||
\(312\) | 3.40424 | + | 0.749329i | 0.192727 | + | 0.0424224i | ||||
\(313\) | 3.35693 | − | 3.95209i | 0.189745 | − | 0.223385i | −0.659061 | − | 0.752089i | \(-0.729046\pi\) |
0.848806 | + | 0.528704i | \(0.177322\pi\) | |||||||
\(314\) | 24.9090 | − | 2.70902i | 1.40570 | − | 0.152879i | ||||
\(315\) | 0.389444 | + | 1.40265i | 0.0219427 | + | 0.0790304i | ||||
\(316\) | 0.302908 | − | 5.58681i | 0.0170399 | − | 0.314283i | ||||
\(317\) | 2.94637 | + | 5.55743i | 0.165484 | + | 0.312137i | 0.952361 | − | 0.304974i | \(-0.0986478\pi\) |
−0.786876 | + | 0.617111i | \(0.788303\pi\) | |||||||
\(318\) | 11.0024 | + | 12.9530i | 0.616982 | + | 0.726367i | ||||
\(319\) | 0.0119497 | + | 0.0113193i | 0.000669052 | + | 0.000633760i | ||||
\(320\) | −2.79481 | + | 7.01445i | −0.156235 | + | 0.392120i | ||||
\(321\) | 4.43468 | + | 11.1302i | 0.247520 | + | 0.621228i | ||||
\(322\) | 1.72177 | − | 1.63095i | 0.0959504 | − | 0.0908891i | ||||
\(323\) | −4.06637 | − | 0.442244i | −0.226259 | − | 0.0246071i | ||||
\(324\) | −0.147998 | − | 0.902750i | −0.00822213 | − | 0.0501528i | ||||
\(325\) | 4.08727 | + | 24.9312i | 0.226721 | + | 1.38294i | ||||
\(326\) | −31.7736 | − | 3.45559i | −1.75978 | − | 0.191387i | ||||
\(327\) | −6.06344 | + | 5.74359i | −0.335309 | + | 0.317622i | ||||
\(328\) | −6.86677 | − | 17.2343i | −0.379154 | − | 0.951605i | ||||
\(329\) | 0.0462287 | − | 0.116025i | 0.00254867 | − | 0.00639668i | ||||
\(330\) | −0.0102210 | − | 0.00968189i | −0.000562650 | − | 0.000532971i | ||||
\(331\) | 7.75066 | + | 9.12478i | 0.426015 | + | 0.501543i | 0.932733 | − | 0.360569i | \(-0.117417\pi\) |
−0.506718 | + | 0.862112i | \(0.669142\pi\) | |||||||
\(332\) | 4.07389 | + | 7.68418i | 0.223584 | + | 0.421724i | ||||
\(333\) | −0.365699 | + | 6.74492i | −0.0200402 | + | 0.369620i | ||||
\(334\) | 0.788736 | + | 2.84077i | 0.0431577 | + | 0.155440i | ||||
\(335\) | −20.3459 | + | 2.21275i | −1.11162 | + | 0.120895i | ||||
\(336\) | 1.09606 | − | 1.29038i | 0.0597950 | − | 0.0703961i | ||||
\(337\) | −10.5218 | − | 2.31603i | −0.573161 | − | 0.126162i | −0.0810739 | − | 0.996708i | \(-0.525835\pi\) |
−0.492088 | + | 0.870546i | \(0.663766\pi\) | |||||||
\(338\) | 12.8581 | + | 9.77445i | 0.699387 | + | 0.531660i | ||||
\(339\) | −1.63277 | + | 0.550144i | −0.0886799 | + | 0.0298797i | ||||
\(340\) | −0.247881 | − | 4.57189i | −0.0134432 | − | 0.247946i | ||||
\(341\) | 0.0156266 | − | 0.00940224i | 0.000846230 | − | 0.000509160i | ||||
\(342\) | −3.36131 | + | 4.95756i | −0.181759 | + | 0.268074i | ||||
\(343\) | −3.74837 | + | 2.84943i | −0.202393 | + | 0.153855i | ||||
\(344\) | −3.57605 | + | 1.65446i | −0.192808 | + | 0.0892024i | ||||
\(345\) | 15.0680 | + | 9.06613i | 0.811235 | + | 0.488104i | ||||
\(346\) | 12.3814 | − | 23.3538i | 0.665629 | − | 1.25551i | ||||
\(347\) | 26.7141 | − | 5.88023i | 1.43409 | − | 0.315667i | 0.571097 | − | 0.820882i | \(-0.306518\pi\) |
0.862993 | + | 0.505215i | \(0.168587\pi\) | |||||||
\(348\) | 7.11405 | + | 3.29131i | 0.381353 | + | 0.176433i | ||||
\(349\) | 5.15876 | + | 7.60861i | 0.276142 | + | 0.407279i | 0.940318 | − | 0.340297i | \(-0.110528\pi\) |
−0.664176 | + | 0.747577i | \(0.731217\pi\) | |||||||
\(350\) | 7.36731 | + | 2.48234i | 0.393799 | + | 0.132686i | ||||
\(351\) | 0.503326 | − | 1.81282i | 0.0268656 | − | 0.0967610i | ||||
\(352\) | −0.00149747 | + | 0.00913416i | −7.98154e−5 | + | 0.000486852i | ||||
\(353\) | −22.7009 | −1.20825 | −0.604123 | − | 0.796891i | \(-0.706477\pi\) | ||||
−0.604123 | + | 0.796891i | \(0.706477\pi\) | |||||||
\(354\) | −8.92354 | − | 9.60956i | −0.474281 | − | 0.510742i | ||||
\(355\) | 53.8723 | 2.85925 | ||||||||
\(356\) | 1.05716 | − | 6.44837i | 0.0560292 | − | 0.341763i | ||||
\(357\) | 0.105771 | − | 0.380951i | 0.00559798 | − | 0.0201621i | ||||
\(358\) | 25.6617 | + | 8.64645i | 1.35627 | + | 0.456979i | ||||
\(359\) | 5.33469 | + | 7.86809i | 0.281554 | + | 0.415262i | 0.942000 | − | 0.335612i | \(-0.108943\pi\) |
−0.660446 | + | 0.750874i | \(0.729633\pi\) | |||||||
\(360\) | 7.21839 | + | 3.33958i | 0.380442 | + | 0.176011i | ||||
\(361\) | −6.53540 | + | 1.43855i | −0.343968 | + | 0.0757131i | ||||
\(362\) | 10.9826 | − | 20.7154i | 0.577234 | − | 1.08878i | ||||
\(363\) | −9.42543 | − | 5.67109i | −0.494707 | − | 0.297655i | ||||
\(364\) | −0.529689 | + | 0.245060i | −0.0277632 | + | 0.0128446i | ||||
\(365\) | −12.9653 | + | 9.85596i | −0.678635 | + | 0.515885i | ||||
\(366\) | 0.374703 | − | 0.552645i | 0.0195860 | − | 0.0288872i | ||||
\(367\) | −24.2145 | + | 14.5694i | −1.26399 | + | 0.760516i | −0.980131 | − | 0.198351i | \(-0.936442\pi\) |
−0.283857 | + | 0.958867i | \(0.591614\pi\) | |||||||
\(368\) | −1.10727 | − | 20.4224i | −0.0577204 | − | 1.06459i | ||||
\(369\) | −9.48908 | + | 3.19724i | −0.493982 | + | 0.166442i | ||||
\(370\) | 39.4118 | + | 29.9601i | 2.04892 | + | 1.55755i | ||||
\(371\) | 3.29667 | + | 0.725653i | 0.171155 | + | 0.0376740i | ||||
\(372\) | 5.62255 | − | 6.61938i | 0.291516 | − | 0.343199i | ||||
\(373\) | −10.4377 | + | 1.13516i | −0.540441 | + | 0.0587765i | −0.374269 | − | 0.927320i | \(-0.622106\pi\) |
−0.166172 | + | 0.986097i | \(0.553141\pi\) | |||||||
\(374\) | 0.00102294 | + | 0.00368431i | 5.28951e−5 | + | 0.000190511i | ||||
\(375\) | −1.95883 | + | 36.1285i | −0.101154 | + | 1.86567i | ||||
\(376\) | −0.319635 | − | 0.602896i | −0.0164839 | − | 0.0310920i | ||||
\(377\) | 10.4364 | + | 12.2867i | 0.537502 | + | 0.632797i | ||||
\(378\) | −0.420311 | − | 0.398139i | −0.0216184 | − | 0.0204781i | ||||
\(379\) | −0.318365 | + | 0.799036i | −0.0163533 | + | 0.0410437i | −0.936927 | − | 0.349526i | \(-0.886343\pi\) |
0.920573 | + | 0.390570i | \(0.127722\pi\) | |||||||
\(380\) | 5.09953 | + | 12.7989i | 0.261600 | + | 0.656568i | ||||
\(381\) | 4.97132 | − | 4.70909i | 0.254689 | − | 0.241254i | ||||
\(382\) | 39.8875 | + | 4.33803i | 2.04082 | + | 0.221953i | ||||
\(383\) | −3.37226 | − | 20.5699i | −0.172315 | − | 1.05107i | −0.921405 | − | 0.388604i | \(-0.872957\pi\) |
0.749090 | − | 0.662468i | \(-0.230491\pi\) | |||||||
\(384\) | −2.04493 | − | 12.4735i | −0.104355 | − | 0.636536i | ||||
\(385\) | −0.00277994 | 0.000302337i | −0.000141679 | 1.54085e-5i | ||||||
\(386\) | −14.9668 | + | 14.1773i | −0.761790 | + | 0.721606i | ||||
\(387\) | 0.787174 | + | 1.97566i | 0.0400143 | + | 0.100428i | ||||
\(388\) | 2.10349 | − | 5.27936i | 0.106789 | − | 0.268019i | ||||
\(389\) | −8.09016 | − | 7.66341i | −0.410187 | − | 0.388550i | 0.454594 | − | 0.890699i | \(-0.349784\pi\) |
−0.864781 | + | 0.502149i | \(0.832543\pi\) | |||||||
\(390\) | −8.92671 | − | 10.5093i | −0.452021 | − | 0.532161i | ||||
\(391\) | −2.23714 | − | 4.21969i | −0.113137 | − | 0.213399i | ||||
\(392\) | −0.690602 | + | 12.7374i | −0.0348807 | + | 0.643336i | ||||
\(393\) | −0.798138 | − | 2.87463i | −0.0402607 | − | 0.145006i | ||||
\(394\) | −38.3945 | + | 4.17565i | −1.93429 | + | 0.210366i | ||||
\(395\) | 16.9974 | − | 20.0109i | 0.855231 | − | 1.00686i | ||||
\(396\) | 0.00171619 | 0.000377763i | 8.62419e−5 | 1.89833e-5i | ||||||
\(397\) | −6.64573 | − | 5.05196i | −0.333540 | − | 0.253550i | 0.424977 | − | 0.905204i | \(-0.360282\pi\) |
−0.758516 | + | 0.651654i | \(0.774075\pi\) | |||||||
\(398\) | −19.1187 | + | 6.44184i | −0.958333 | + | 0.322900i | ||||
\(399\) | 0.0644077 | + | 1.18793i | 0.00322442 | + | 0.0594709i | ||||
\(400\) | 57.4475 | − | 34.5650i | 2.87237 | − | 1.72825i | ||||
\(401\) | −6.11121 | + | 9.01336i | −0.305179 | + | 0.450106i | −0.949095 | − | 0.314991i | \(-0.897999\pi\) |
0.643915 | + | 0.765097i | \(0.277309\pi\) | |||||||
\(402\) | 6.47970 | − | 4.92574i | 0.323178 | − | 0.245674i | ||||
\(403\) | 16.2109 | − | 7.49995i | 0.807521 | − | 0.373599i | ||||
\(404\) | 15.2526 | + | 9.17718i | 0.758845 | + | 0.456582i | ||||
\(405\) | 2.01080 | − | 3.79277i | 0.0999173 | − | 0.188464i | ||||
\(406\) | 4.84473 | − | 1.06641i | 0.240440 | − | 0.0529249i | ||||
\(407\) | −0.0117764 | − | 0.00544832i | −0.000583732 | − | 0.000270063i | ||||
\(408\) | −1.21223 | − | 1.78791i | −0.0600143 | − | 0.0885145i | ||||
\(409\) | −13.1996 | − | 4.44746i | −0.652678 | − | 0.219913i | −0.0265674 | − | 0.999647i | \(-0.508458\pi\) |
−0.626111 | + | 0.779734i | \(0.715354\pi\) | |||||||
\(410\) | −19.6333 | + | 70.7126i | −0.969618 | + | 3.49225i | ||||
\(411\) | 1.62900 | − | 9.93643i | 0.0803524 | − | 0.490128i | ||||
\(412\) | −10.3385 | −0.509340 | ||||||||
\(413\) | −2.56608 | − | 0.446861i | −0.126269 | − | 0.0219886i | ||||
\(414\) | −6.99373 | −0.343723 | ||||||||
\(415\) | −6.60286 | + | 40.2757i | −0.324122 | + | 1.97705i | ||||
\(416\) | −2.42529 | + | 8.73511i | −0.118910 | + | 0.428274i | ||||
\(417\) | 4.20339 | + | 1.41629i | 0.205841 | + | 0.0693558i | ||||
\(418\) | −0.00645687 | − | 0.00952317i | −0.000315816 | − | 0.000465794i | ||||
\(419\) | −20.5246 | − | 9.49570i | −1.00269 | − | 0.463895i | −0.151337 | − | 0.988482i | \(-0.548358\pi\) |
−0.851357 | + | 0.524587i | \(0.824220\pi\) | |||||||
\(420\) | −1.30055 | + | 0.286273i | −0.0634604 | + | 0.0139687i | ||||
\(421\) | 2.04881 | − | 3.86447i | 0.0998530 | − | 0.188343i | −0.828552 | − | 0.559911i | \(-0.810835\pi\) |
0.928405 | + | 0.371569i | \(0.121180\pi\) | |||||||
\(422\) | −19.7154 | − | 11.8623i | −0.959728 | − | 0.577449i | ||||
\(423\) | −0.334271 | + | 0.154650i | −0.0162528 | + | 0.00751935i | ||||
\(424\) | 14.6824 | − | 11.1612i | 0.713039 | − | 0.542038i | ||||
\(425\) | 8.78606 | − | 12.9585i | 0.426187 | − | 0.628578i | ||||
\(426\) | −18.3584 | + | 11.0459i | −0.889468 | + | 0.535175i | ||||
\(427\) | −0.00717986 | − | 0.132425i | −0.000347458 | − | 0.00640848i | ||||
\(428\) | −10.3866 | + | 3.49966i | −0.502056 | + | 0.169162i | ||||
\(429\) | 0.00287712 | + | 0.00218713i | 0.000138908 | + | 0.000105595i | ||||
\(430\) | 15.2223 | + | 3.35069i | 0.734085 | + | 0.161584i | ||||
\(431\) | 17.0223 | − | 20.0402i | 0.819936 | − | 0.965304i | −0.179895 | − | 0.983686i | \(-0.557576\pi\) |
0.999831 | + | 0.0183823i | \(0.00585158\pi\) | |||||||
\(432\) | −4.96347 | + | 0.539810i | −0.238805 | + | 0.0259716i | ||||
\(433\) | −6.47493 | − | 23.3206i | −0.311165 | − | 1.12072i | −0.939437 | − | 0.342722i | \(-0.888651\pi\) |
0.628272 | − | 0.777994i | \(-0.283763\pi\) | |||||||
\(434\) | 0.297570 | − | 5.48836i | 0.0142838 | − | 0.263450i | ||||
\(435\) | 17.2296 | + | 32.4985i | 0.826097 | + | 1.55818i | ||||
\(436\) | −4.94624 | − | 5.82316i | −0.236882 | − | 0.278879i | ||||
\(437\) | 10.4336 | + | 9.88325i | 0.499108 | + | 0.472780i | ||||
\(438\) | 2.39742 | − | 6.01706i | 0.114553 | − | 0.287506i | ||||
\(439\) | −9.66992 | − | 24.2697i | −0.461520 | − | 1.15833i | −0.957098 | − | 0.289765i | \(-0.906423\pi\) |
0.495578 | − | 0.868564i | \(-0.334956\pi\) | |||||||
\(440\) | −0.0110919 | + | 0.0105068i | −0.000528784 | + | 0.000500891i | ||||
\(441\) | 6.84465 | + | 0.744400i | 0.325936 | + | 0.0354476i | ||||
\(442\) | 0.605868 | + | 3.69563i | 0.0288182 | + | 0.175783i | ||||
\(443\) | −1.62128 | − | 9.88937i | −0.0770293 | − | 0.469858i | −0.996969 | − | 0.0777984i | \(-0.975211\pi\) |
0.919940 | − | 0.392060i | \(-0.128237\pi\) | |||||||
\(444\) | −6.14310 | − | 0.668102i | −0.291539 | − | 0.0317067i | ||||
\(445\) | 22.2618 | − | 21.0875i | 1.05531 | − | 0.999643i | ||||
\(446\) | −3.79894 | − | 9.53463i | −0.179885 | − | 0.451478i | ||||
\(447\) | −2.02459 | + | 5.08135i | −0.0957600 | + | 0.240339i | ||||
\(448\) | −0.433023 | − | 0.410181i | −0.0204584 | − | 0.0193792i | ||||
\(449\) | −7.70867 | − | 9.07535i | −0.363795 | − | 0.428292i | 0.549562 | − | 0.835453i | \(-0.314795\pi\) |
−0.913356 | + | 0.407161i | \(0.866519\pi\) | |||||||
\(450\) | −10.7387 | − | 20.2554i | −0.506228 | − | 0.954848i | ||||
\(451\) | 0.00104135 | − | 0.0192066i | 4.90354e−5 | − | 0.000904404i | ||||
\(452\) | −0.421669 | − | 1.51872i | −0.0198337 | − | 0.0714344i | ||||
\(453\) | −13.7893 | + | 1.49968i | −0.647880 | + | 0.0704611i | ||||
\(454\) | 8.81133 | − | 10.3735i | 0.413536 | − | 0.486853i | ||||
\(455\) | −2.67474 | − | 0.588754i | −0.125394 | − | 0.0276012i | ||||
\(456\) | 5.17457 | + | 3.93361i | 0.242321 | + | 0.184208i | ||||
\(457\) | −14.6850 | + | 4.94796i | −0.686937 | + | 0.231456i | −0.641060 | − | 0.767491i | \(-0.721505\pi\) |
−0.0458772 | + | 0.998947i | \(0.514608\pi\) | |||||||
\(458\) | 1.14917 | + | 21.1952i | 0.0536973 | + | 0.990388i | ||||
\(459\) | −0.999014 | + | 0.601087i | −0.0466300 | + | 0.0280563i | ||||
\(460\) | −9.02780 | + | 13.3150i | −0.420924 | + | 0.620816i | ||||
\(461\) | −2.21203 | + | 1.68154i | −0.103025 | + | 0.0783173i | −0.655418 | − | 0.755266i | \(-0.727508\pi\) |
0.552394 | + | 0.833583i | \(0.313715\pi\) | |||||||
\(462\) | 0.00100933 | 0.000466965i | 4.69582e−5 | 2.17252e-5i | ||||||
\(463\) | −18.1513 | − | 10.9213i | −0.843562 | − | 0.507555i | 0.0269870 | − | 0.999636i | \(-0.491409\pi\) |
−0.870549 | + | 0.492081i | \(0.836236\pi\) | |||||||
\(464\) | 20.0388 | − | 37.7972i | 0.930277 | − | 1.75469i | ||||
\(465\) | 39.8027 | − | 8.76125i | 1.84581 | − | 0.406293i | ||||
\(466\) | 38.8609 | + | 17.9789i | 1.80019 | + | 0.832859i | ||||
\(467\) | 16.0410 | + | 23.6587i | 0.742289 | + | 1.09479i | 0.991971 | + | 0.126466i | \(0.0403635\pi\) |
−0.249682 | + | 0.968328i | \(0.580326\pi\) | |||||||
\(468\) | 1.63101 | + | 0.549550i | 0.0753933 | + | 0.0254030i | ||||
\(469\) | 0.432502 | − | 1.55773i | 0.0199711 | − | 0.0719294i | ||||
\(470\) | −0.436711 | + | 2.66382i | −0.0201440 | + | 0.122873i | ||||
\(471\) | −14.6759 | −0.676232 | ||||||||
\(472\) | −10.9373 | + | 9.10504i | −0.503428 | + | 0.419094i | ||||
\(473\) | −0.00408527 | −0.000187841 | ||||||||
\(474\) | −1.68931 | + | 10.3043i | −0.0775926 | + | 0.473294i | ||||
\(475\) | −12.6035 | + | 45.3935i | −0.578286 | + | 2.08280i | ||||
\(476\) | 0.342745 | + | 0.115484i | 0.0157097 | + | 0.00529321i | ||||
\(477\) | −5.58632 | − | 8.23921i | −0.255780 | − | 0.377247i | ||||
\(478\) | 16.4876 | + | 7.62796i | 0.754123 | + | 0.348895i | ||||
\(479\) | −31.8152 | + | 7.00306i | −1.45368 | + | 0.319978i | −0.870420 | − | 0.492310i | \(-0.836152\pi\) |
−0.583256 | + | 0.812289i | \(0.698221\pi\) | |||||||
\(480\) | −9.68908 | + | 18.2755i | −0.442244 | + | 0.834160i | ||||
\(481\) | −10.8894 | − | 6.55192i | −0.496513 | − | 0.298742i | ||||
\(482\) | −7.69344 | + | 3.55937i | −0.350427 | + | 0.162125i | ||||
\(483\) | −1.10586 | + | 0.840653i | −0.0503184 | + | 0.0382510i | ||||
\(484\) | 5.64712 | − | 8.32887i | 0.256687 | − | 0.378585i | ||||
\(485\) | 22.8508 | − | 13.7489i | 1.03760 | − | 0.624305i | ||||
\(486\) | 0.0924302 | + | 1.70477i | 0.00419272 | + | 0.0773302i | ||||
\(487\) | 10.9513 | − | 3.68992i | 0.496250 | − | 0.167206i | −0.0600370 | − | 0.998196i | \(-0.519122\pi\) |
0.556287 | + | 0.830990i | \(0.312225\pi\) | |||||||
\(488\) | −0.576836 | − | 0.438500i | −0.0261122 | − | 0.0198499i | ||||
\(489\) | 18.2827 | + | 4.02434i | 0.826774 | + | 0.181987i | ||||
\(490\) | 32.6675 | − | 38.4592i | 1.47577 | − | 1.73741i | ||||
\(491\) | 31.5610 | − | 3.43247i | 1.42433 | − | 0.154905i | 0.636727 | − | 0.771090i | \(-0.280288\pi\) |
0.787602 | + | 0.616185i | \(0.211322\pi\) | |||||||
\(492\) | −2.45059 | − | 8.82623i | −0.110481 | − | 0.397917i | ||||
\(493\) | 0.540855 | − | 9.97548i | 0.0243589 | − | 0.449273i | ||||
\(494\) | −5.27844 | − | 9.95619i | −0.237488 | − | 0.447950i | ||||
\(495\) | 0.00533852 | + | 0.00628499i | 0.000239948 | + | 0.000282489i | ||||
\(496\) | −34.4125 | − | 32.5973i | −1.54517 | − | 1.46366i | ||||
\(497\) | −1.57514 | + | 3.95329i | −0.0706545 | + | 0.177329i | ||||
\(498\) | −6.00795 | − | 15.0788i | −0.269223 | − | 0.675698i | ||||
\(499\) | 23.7677 | − | 22.5140i | 1.06399 | − | 1.00787i | 0.0640394 | − | 0.997947i | \(-0.479602\pi\) |
0.999951 | − | 0.00991770i | \(-0.00315695\pi\) | |||||||
\(500\) | −32.9049 | − | 3.57862i | −1.47155 | − | 0.160041i | ||||
\(501\) | −0.279375 | − | 1.70411i | −0.0124816 | − | 0.0761341i | ||||
\(502\) | −1.19348 | − | 7.27993i | −0.0532678 | − | 0.324919i | ||||
\(503\) | 42.5291 | + | 4.62532i | 1.89628 | + | 0.206233i | 0.980647 | − | 0.195786i | \(-0.0627259\pi\) |
0.915631 | + | 0.402019i | \(0.131691\pi\) | |||||||
\(504\) | −0.456121 | + | 0.432061i | −0.0203172 | + | 0.0192455i | ||||
\(505\) | 30.9183 | + | 77.5991i | 1.37585 | + | 3.45312i | ||||
\(506\) | 0.00497263 | − | 0.0124804i | 0.000221061 | − | 0.000554820i | ||||
\(507\) | −6.86818 | − | 6.50588i | −0.305026 | − | 0.288936i | ||||
\(508\) | 4.05535 | + | 4.77432i | 0.179927 | + | 0.211826i | ||||
\(509\) | −0.135468 | − | 0.255519i | −0.00600450 | − | 0.0113257i | 0.880492 | − | 0.474062i | \(-0.157213\pi\) |
−0.886496 | + | 0.462736i | \(0.846868\pi\) | |||||||
\(510\) | −0.462616 | + | 8.53245i | −0.0204850 | + | 0.377823i | ||||
\(511\) | −0.344173 | − | 1.23960i | −0.0152253 | − | 0.0548367i | ||||
\(512\) | 5.52459 | − | 0.600836i | 0.244155 | − | 0.0265534i | ||||
\(513\) | 2.27122 | − | 2.67389i | 0.100277 | − | 0.118055i | ||||
\(514\) | −11.2289 | − | 2.47168i | −0.495287 | − | 0.109021i | ||||
\(515\) | −38.6222 | − | 29.3599i | −1.70190 | − | 1.29375i | ||||
\(516\) | −1.84367 | + | 0.621204i | −0.0811630 | + | 0.0273470i | ||||
\(517\) | −3.83035e−5 | 0 | 0.000706467i | −1.68459e−6 | 0 | 3.10704e-5i | ||||
\(518\) | −3.35088 | + | 2.01616i | −0.147229 | + | 0.0885850i | ||||
\(519\) | −8.68858 | + | 12.8147i | −0.381386 | + | 0.562503i | ||||
\(520\) | −11.9125 | + | 9.05561i | −0.522395 | + | 0.397115i | ||||
\(521\) | −0.175161 | + | 0.0810379i | −0.00767393 | + | 0.00355034i | −0.423722 | − | 0.905792i | \(-0.639277\pi\) |
0.416048 | + | 0.909342i | \(0.363415\pi\) | |||||||
\(522\) | −12.5349 | − | 7.54199i | −0.548637 | − | 0.330104i | ||||
\(523\) | 3.28866 | − | 6.20307i | 0.143803 | − | 0.271241i | −0.801139 | − | 0.598478i | \(-0.795773\pi\) |
0.944943 | + | 0.327236i | \(0.106117\pi\) | |||||||
\(524\) | 2.66539 | − | 0.586696i | 0.116438 | − | 0.0256299i | ||||
\(525\) | −4.13274 | − | 1.91201i | −0.180368 | − | 0.0834469i | ||||
\(526\) | −24.0985 | − | 35.5427i | −1.05075 | − | 1.54973i | ||||
\(527\) | −10.4895 | − | 3.53434i | −0.456932 | − | 0.153958i | ||||
\(528\) | 0.00256580 | − | 0.00924117i | 0.000111662 | − | 0.000402170i | ||||
\(529\) | 1.00618 | − | 6.13741i | 0.0437468 | − | 0.266844i | ||||
\(530\) | −72.9569 | −3.16904 | ||||||||
\(531\) | 4.58757 | + | 6.16070i | 0.199083 | + | 0.267352i | ||||
\(532\) | −1.08832 | −0.0471845 | ||||||||
\(533\) | 3.04779 | − | 18.5907i | 0.132014 | − | 0.805252i | ||||
\(534\) | −3.26255 | + | 11.7506i | −0.141184 | + | 0.508500i | ||||
\(535\) | −48.7406 | − | 16.4226i | −2.10724 | − | 0.710012i | ||||
\(536\) | −4.95688 | − | 7.31085i | −0.214105 | − | 0.315781i | ||||
\(537\) | −14.3951 | − | 6.65989i | −0.621195 | − | 0.287395i | ||||
\(538\) | −21.6095 | + | 4.75661i | −0.931652 | + | 0.205072i | ||||
\(539\) | −0.00619502 | + | 0.0116851i | −0.000266839 | + | 0.000503311i | ||||
\(540\) | 3.36495 | + | 2.02462i | 0.144804 | + | 0.0871259i | ||||
\(541\) | −21.6073 | + | 9.99658i | −0.928968 | + | 0.429787i | −0.825216 | − | 0.564817i | \(-0.808947\pi\) |
−0.103752 | + | 0.994603i | \(0.533085\pi\) | |||||||
\(542\) | 17.7628 | − | 13.5030i | 0.762979 | − | 0.580001i | ||||
\(543\) | −7.70699 | + | 11.3670i | −0.330739 | + | 0.487803i | ||||
\(544\) | 4.81378 | − | 2.89635i | 0.206389 | − | 0.124180i | ||||
\(545\) | −1.94106 | − | 35.8007i | −0.0831457 | − | 1.53353i | ||||
\(546\) | 1.03220 | − | 0.347790i | 0.0441743 | − | 0.0148840i | ||||
\(547\) | 2.89779 | + | 2.20284i | 0.123901 | + | 0.0941868i | 0.665289 | − | 0.746586i | \(-0.268308\pi\) |
−0.541389 | + | 0.840772i | \(0.682101\pi\) | |||||||
\(548\) | 8.99585 | + | 1.98014i | 0.384284 | + | 0.0845872i | ||||
\(549\) | −0.253185 | + | 0.298073i | −0.0108057 | + | 0.0127214i | ||||
\(550\) | 0.0437812 | − | 0.00476150i | 0.00186684 | − | 0.000203031i | ||||
\(551\) | 8.04218 | + | 28.9653i | 0.342608 | + | 1.23396i | ||||
\(552\) | −0.410892 | + | 7.57846i | −0.0174887 | + | 0.322561i | ||||
\(553\) | 0.971475 | + | 1.83240i | 0.0413113 | + | 0.0779214i | ||||
\(554\) | 8.23177 | + | 9.69119i | 0.349735 | + | 0.411739i | ||||
\(555\) | −21.0519 | − | 19.9414i | −0.893605 | − | 0.846467i | ||||
\(556\) | −1.50190 | + | 3.76948i | −0.0636946 | + | 0.159862i | ||||
\(557\) | 2.22118 | + | 5.57473i | 0.0941143 | + | 0.236209i | 0.968496 | − | 0.249030i | \(-0.0801118\pi\) |
−0.874381 | + | 0.485239i | \(0.838733\pi\) | |||||||
\(558\) | −11.7674 | + | 11.1467i | −0.498156 | + | 0.471878i | ||||
\(559\) | −3.97771 | − | 0.432602i | −0.168239 | − | 0.0182971i | ||||
\(560\) | 1.17583 | + | 7.17225i | 0.0496879 | + | 0.303083i | ||||
\(561\) | −0.000362332 | − | 0.00221013i | −1.52977e−5 | − | 9.33118e-5i | ||||
\(562\) | 27.6574 | + | 3.00793i | 1.16666 | + | 0.126882i | ||||
\(563\) | −8.75412 | + | 8.29235i | −0.368942 | + | 0.349481i | −0.849600 | − | 0.527428i | \(-0.823157\pi\) |
0.480658 | + | 0.876908i | \(0.340398\pi\) | |||||||
\(564\) | −0.124711 | − | 0.313002i | −0.00525129 | − | 0.0131798i | ||||
\(565\) | 2.73768 | − | 6.87107i | 0.115175 | − | 0.289068i | ||||
\(566\) | 15.1327 | + | 14.3345i | 0.636075 | + | 0.602522i | ||||
\(567\) | 0.219531 | + | 0.258452i | 0.00921943 | + | 0.0108539i | ||||
\(568\) | 10.8908 | + | 20.5423i | 0.456969 | + | 0.861935i | ||||
\(569\) | 0.0723327 | − | 1.33410i | 0.00303235 | − | 0.0559283i | −0.996626 | − | 0.0820818i | \(-0.973843\pi\) |
0.999658 | + | 0.0261535i | \(0.00832587\pi\) | |||||||
\(570\) | −6.87882 | − | 24.7753i | −0.288122 | − | 1.03772i | ||||
\(571\) | 42.2210 | − | 4.59181i | 1.76689 | − | 0.192161i | 0.833867 | − | 0.551966i | \(-0.186122\pi\) |
0.933028 | + | 0.359805i | \(0.117157\pi\) | |||||||
\(572\) | −0.00214034 | + | 0.00251981i | −8.94922e−5 | + | 0.000105358i | ||||
\(573\) | −22.9515 | − | 5.05201i | −0.958814 | − | 0.211051i | ||||
\(574\) | −4.61503 | − | 3.50826i | −0.192628 | − | 0.146432i | ||||
\(575\) | −52.1288 | + | 17.5642i | −2.17392 | + | 0.732479i | ||||
\(576\) | 0.0952258 | + | 1.75634i | 0.00396774 | + | 0.0731807i | ||||
\(577\) | 2.73602 | − | 1.64621i | 0.113902 | − | 0.0685325i | −0.457463 | − | 0.889229i | \(-0.651242\pi\) |
0.571365 | + | 0.820696i | \(0.306414\pi\) | |||||||
\(578\) | −14.9854 | + | 22.1018i | −0.623309 | + | 0.919312i | ||||
\(579\) | 9.61290 | − | 7.30753i | 0.399498 | − | 0.303691i | ||||
\(580\) | −30.5394 | + | 14.1290i | −1.26808 | + | 0.586676i | ||||
\(581\) | −2.76248 | − | 1.66213i | −0.114607 | − | 0.0689567i | ||||
\(582\) | −4.96798 | + | 9.37060i | −0.205929 | + | 0.388424i | ||||
\(583\) | 0.0186749 | − | 0.00411065i | 0.000773434 | − | 0.000170246i | ||||
\(584\) | −6.37928 | − | 2.95137i | −0.263977 | − | 0.122129i | ||||
\(585\) | 4.53243 | + | 6.68483i | 0.187393 | + | 0.276384i | ||||
\(586\) | −15.3834 | − | 5.18327i | −0.635482 | − | 0.214119i | ||||
\(587\) | −9.60678 | + | 34.6005i | −0.396514 | + | 1.42812i | 0.448698 | + | 0.893684i | \(0.351888\pi\) |
−0.845212 | + | 0.534432i | \(0.820526\pi\) | |||||||
\(588\) | −1.01897 | + | 6.21544i | −0.0420216 | + | 0.256320i | ||||
\(589\) | 33.3074 | 1.37241 | ||||||||
\(590\) | 56.2404 | − | 2.49022i | 2.31538 | − | 0.102521i | ||||
\(591\) | 22.6213 | 0.930517 | ||||||||
\(592\) | −5.45612 | + | 33.2808i | −0.224245 | + | 1.36783i | ||||
\(593\) | −3.75262 | + | 13.5157i | −0.154102 | + | 0.555024i | 0.845671 | + | 0.533704i | \(0.179200\pi\) |
−0.999773 | + | 0.0213194i | \(0.993213\pi\) | |||||||
\(594\) | −0.00310790 | − | 0.00104717i | −0.000127519 | − | 4.29661e-5i | ||||
\(595\) | 0.952459 | + | 1.40477i | 0.0390470 | + | 0.0575901i | ||||
\(596\) | −4.54133 | − | 2.10104i | −0.186020 | − | 0.0860621i | ||||
\(597\) | 11.5406 | − | 2.54029i | 0.472327 | − | 0.103967i | ||||
\(598\) | 6.16330 | − | 11.6252i | 0.252036 | − | 0.475391i | ||||
\(599\) | −1.22340 | − | 0.736093i | −0.0499866 | − | 0.0300760i | 0.490341 | − | 0.871531i | \(-0.336872\pi\) |
−0.540328 | + | 0.841455i | \(0.681700\pi\) | |||||||
\(600\) | −22.5798 | + | 10.4465i | −0.921816 | + | 0.426478i | ||||
\(601\) | 15.8661 | − | 12.0611i | 0.647194 | − | 0.491984i | −0.229326 | − | 0.973350i | \(-0.573652\pi\) |
0.876520 | + | 0.481366i | \(0.159859\pi\) | |||||||
\(602\) | −0.690957 | + | 1.01909i | −0.0281613 | + | 0.0415348i | ||||
\(603\) | −4.08503 | + | 2.45788i | −0.166355 | + | 0.100093i | ||||
\(604\) | −0.686962 | − | 12.6703i | −0.0279521 | − | 0.515546i | ||||
\(605\) | 44.7492 | − | 15.0778i | 1.81931 | − | 0.612998i | ||||
\(606\) | −26.4470 | − | 20.1045i | −1.07434 | − | 0.816690i | ||||
\(607\) | 18.9494 | + | 4.17109i | 0.769134 | + | 0.169299i | 0.582169 | − | 0.813068i | \(-0.302204\pi\) |
0.186964 | + | 0.982367i | \(0.440135\pi\) | |||||||
\(608\) | −10.9439 | + | 12.8842i | −0.443836 | + | 0.522524i | ||||
\(609\) | −2.88859 | + | 0.314153i | −0.117052 | + | 0.0127301i | ||||
\(610\) | 0.766818 | + | 2.76183i | 0.0310476 | + | 0.111823i | ||||
\(611\) | 0.0375150 | − | 0.691923i | 0.00151769 | − | 0.0279922i | ||||
\(612\) | −0.499591 | − | 0.942328i | −0.0201948 | − | 0.0380914i | ||||
\(613\) | −27.5350 | − | 32.4167i | −1.11213 | − | 1.30930i | −0.946353 | − | 0.323135i | \(-0.895263\pi\) |
−0.165776 | − | 0.986163i | \(-0.553013\pi\) | |||||||
\(614\) | 42.7267 | + | 40.4729i | 1.72431 | + | 1.63335i | ||||
\(615\) | 15.9104 | − | 39.9322i | 0.641571 | − | 1.61022i | ||||
\(616\) | −0.000446708 | − | 0.00112115i | −1.79984e−5 | − | 4.51725e-5i | ||||
\(617\) | 9.35828 | − | 8.86464i | 0.376750 | − | 0.356877i | −0.475771 | − | 0.879569i | \(-0.657831\pi\) |
0.852521 | + | 0.522692i | \(0.175072\pi\) | |||||||
\(618\) | 19.1814 | + | 2.08611i | 0.771590 | + | 0.0839155i | ||||
\(619\) | −2.89227 | − | 17.6421i | −0.116250 | − | 0.709095i | −0.979061 | − | 0.203568i | \(-0.934746\pi\) |
0.862811 | − | 0.505527i | \(-0.168702\pi\) | |||||||
\(620\) | 6.03176 | + | 36.7921i | 0.242241 | + | 1.47761i | ||||
\(621\) | 4.07241 | + | 0.442901i | 0.163420 | + | 0.0177730i | ||||
\(622\) | 2.10901 | − | 1.99776i | 0.0845634 | − | 0.0801027i | ||||
\(623\) | 0.896558 | + | 2.25019i | 0.0359198 | + | 0.0901520i | ||||
\(624\) | 3.47682 | − | 8.72617i | 0.139184 | − | 0.349326i | ||||
\(625\) | −64.0178 | − | 60.6409i | −2.56071 | − | 2.42563i | ||||
\(626\) | −5.73122 | − | 6.74731i | −0.229066 | − | 0.269677i | ||||
\(627\) | 0.00315671 | + | 0.00595419i | 0.000126067 | + | 0.000237787i | ||||
\(628\) | 0.726845 | − | 13.4059i | 0.0290043 | − | 0.534952i | ||||
\(629\) | 2.10692 | + | 7.58843i | 0.0840083 | + | 0.302571i | ||||
\(630\) | 2.47074 | − | 0.268709i | 0.0984365 | − | 0.0107056i | ||||
\(631\) | 21.4358 | − | 25.2362i | 0.853346 | − | 1.00464i | −0.146535 | − | 0.989206i | \(-0.546812\pi\) |
0.999881 | − | 0.0154314i | \(-0.00491215\pi\) | |||||||
\(632\) | 11.0666 | + | 2.43595i | 0.440206 | + | 0.0968967i | ||||
\(633\) | 10.7289 | + | 8.15591i | 0.426436 | + | 0.324168i | ||||
\(634\) | 10.1769 | − | 3.42900i | 0.404177 | − | 0.136183i | ||||
\(635\) | 1.59144 | + | 29.3524i | 0.0631545 | + | 1.16482i | ||||
\(636\) | 7.80285 | − | 4.69482i | 0.309403 | − | 0.186162i | ||||
\(637\) | −7.26929 | + | 10.7214i | −0.288020 | + | 0.424797i | ||||
\(638\) | 0.0223712 | − | 0.0170062i | 0.000885685 | − | 0.000673280i | ||||
\(639\) | 11.3895 | − | 5.26935i | 0.450562 | − | 0.208452i | ||||
\(640\) | 46.4943 | + | 27.9747i | 1.83785 | + | 1.10580i | ||||
\(641\) | 14.5856 | − | 27.5114i | 0.576097 | − | 1.08663i | −0.408658 | − | 0.912687i | \(-0.634003\pi\) |
0.984755 | − | 0.173946i | \(-0.0556520\pi\) | |||||||
\(642\) | 19.9769 | − | 4.39725i | 0.788426 | − | 0.173546i | ||||
\(643\) | −3.67081 | − | 1.69830i | −0.144762 | − | 0.0669742i | 0.346170 | − | 0.938172i | \(-0.387482\pi\) |
−0.490933 | + | 0.871197i | \(0.663344\pi\) | |||||||
\(644\) | −0.713133 | − | 1.05179i | −0.0281014 | − | 0.0414464i | ||||
\(645\) | −8.65167 | − | 2.91509i | −0.340659 | − | 0.114781i | ||||
\(646\) | −1.86825 | + | 6.72881i | −0.0735051 | + | 0.264742i | ||||
\(647\) | 4.69266 | − | 28.6239i | 0.184487 | − | 1.12532i | −0.718459 | − | 0.695570i | \(-0.755152\pi\) |
0.902946 | − | 0.429754i | \(-0.141400\pi\) | |||||||
\(648\) | 1.85274 | 0.0727824 | ||||||||
\(649\) | −0.0142556 | + | 0.00380621i | −0.000559583 | + | 0.000149407i | ||||
\(650\) | 43.1328 | 1.69181 | ||||||||
\(651\) | −0.520842 | + | 3.17699i | −0.0204134 | + | 0.124516i | ||||
\(652\) | −4.58154 | + | 16.5012i | −0.179427 | + | 0.646238i | ||||
\(653\) | 8.45241 | + | 2.84795i | 0.330768 | + | 0.111449i | 0.479786 | − | 0.877386i | \(-0.340714\pi\) |
−0.149017 | + | 0.988835i | \(0.547611\pi\) | |||||||
\(654\) | 8.00198 | + | 11.8020i | 0.312902 | + | 0.461496i | ||||
\(655\) | 11.6234 | + | 5.37757i | 0.454165 | + | 0.210119i | ||||
\(656\) | −48.8247 | + | 10.7471i | −1.90628 | + | 0.419605i | ||||
\(657\) | −1.77705 | + | 3.35187i | −0.0693294 | + | 0.130769i | ||||
\(658\) | −0.182709 | − | 0.109932i | −0.00712275 | − | 0.00428561i | ||||
\(659\) | 1.90985 | − | 0.883588i | 0.0743970 | − | 0.0344197i | −0.382338 | − | 0.924023i | \(-0.624881\pi\) |
0.456735 | + | 0.889603i | \(0.349019\pi\) | |||||||
\(660\) | −0.00600548 | + | 0.00456524i | −0.000233763 | + | 0.000177702i | ||||
\(661\) | 6.69506 | − | 9.87448i | 0.260408 | − | 0.384073i | −0.674899 | − | 0.737910i | \(-0.735813\pi\) |
0.935307 | + | 0.353837i | \(0.115123\pi\) | |||||||
\(662\) | 17.5141 | − | 10.5379i | 0.680705 | − | 0.409566i | ||||
\(663\) | −0.118755 | − | 2.19031i | −0.00461207 | − | 0.0850646i | ||||
\(664\) | −16.6925 | + | 5.62436i | −0.647795 | + | 0.218268i | ||||
\(665\) | −4.06570 | − | 3.09067i | −0.157661 | − | 0.119851i | ||||
\(666\) | 11.2628 | + | 2.47912i | 0.436423 | + | 0.0960640i | ||||
\(667\) | −22.7235 | + | 26.7522i | −0.879858 | + | 1.03585i | ||||
\(668\) | 1.57047 | − | 0.170799i | 0.0607634 | − | 0.00660842i | ||||
\(669\) | 1.60829 | + | 5.79254i | 0.0621801 | + | 0.223952i | ||||
\(670\) | −1.89166 | + | 34.8897i | −0.0730814 | + | 1.34791i | ||||
\(671\) | −0.000351895 | 0 | 0.000663744i | −1.35848e−5 | 0 | 2.56236e-5i | ||||
\(672\) | −1.05781 | − | 1.24536i | −0.0408061 | − | 0.0480406i | ||||
\(673\) | 6.91469 | + | 6.54995i | 0.266542 | + | 0.252482i | 0.809284 | − | 0.587417i | \(-0.199855\pi\) |
−0.542742 | + | 0.839899i | \(0.682614\pi\) | |||||||
\(674\) | −6.80823 | + | 17.0874i | −0.262243 | + | 0.658181i | ||||
\(675\) | 4.97035 | + | 12.4746i | 0.191309 | + | 0.480149i | ||||
\(676\) | 6.28301 | − | 5.95158i | 0.241654 | − | 0.228907i | ||||
\(677\) | −9.94176 | − | 1.08123i | −0.382093 | − | 0.0415551i | −0.0849426 | − | 0.996386i | \(-0.527071\pi\) |
−0.297150 | + | 0.954831i | \(0.596036\pi\) | |||||||
\(678\) | 0.475894 | + | 2.90283i | 0.0182766 | + | 0.111482i | ||||
\(679\) | 0.340810 | + | 2.07885i | 0.0130791 | + | 0.0797789i | ||||
\(680\) | 9.21865 | + | 1.00259i | 0.353519 | + | 0.0384475i | ||||
\(681\) | −5.78772 | + | 5.48242i | −0.221786 | + | 0.210087i | ||||
\(682\) | −0.0115246 | − | 0.0289246i | −0.000441300 | − | 0.00110758i | ||||
\(683\) | −0.944767 | + | 2.37119i | −0.0361505 | + | 0.0907309i | −0.945944 | − | 0.324331i | \(-0.894861\pi\) |
0.909793 | + | 0.415062i | \(0.136240\pi\) | |||||||
\(684\) | 2.33000 | + | 2.20710i | 0.0890900 | + | 0.0843905i | ||||
\(685\) | 27.9832 | + | 32.9443i | 1.06918 | + | 1.25874i | ||||
\(686\) | 3.76537 | + | 7.10223i | 0.143762 | + | 0.271165i | ||||
\(687\) | 0.673101 | − | 12.4146i | 0.0256804 | − | 0.473648i | ||||
\(688\) | 2.84064 | + | 10.2311i | 0.108298 | + | 0.390055i | ||||
\(689\) | 18.6185 | − | 2.02488i | 0.709308 | − | 0.0771419i | ||||
\(690\) | 19.4364 | − | 22.8823i | 0.739931 | − | 0.871115i | ||||
\(691\) | −4.67820 | − | 1.02975i | −0.177967 | − | 0.0391735i | 0.125093 | − | 0.992145i | \(-0.460077\pi\) |
−0.303060 | + | 0.952972i | \(0.598008\pi\) | |||||||
\(692\) | −11.2754 | − | 8.57133i | −0.428626 | − | 0.325833i | ||||
\(693\) | −0.000617298 | 0 | 0.000207992i | −2.34492e−5 | 0 | 7.90096e-6i | ||||
\(694\) | −2.52830 | − | 46.6318i | −0.0959731 | − | 1.77012i | ||||
\(695\) | −16.3156 | + | 9.81675i | −0.618884 | + | 0.372370i | ||||
\(696\) | −8.90901 | + | 13.1398i | −0.337695 | + | 0.498063i | ||||
\(697\) | −9.29398 | + | 7.06510i | −0.352035 | + | 0.267610i | ||||
\(698\) | 14.2438 | − | 6.58987i | 0.539135 | − | 0.249430i | ||||
\(699\) | −21.4899 | − | 12.9300i | −0.812821 | − | 0.489058i | ||||
\(700\) | 1.95122 | − | 3.68039i | 0.0737492 | − | 0.139106i | ||||
\(701\) | −42.1185 | + | 9.27099i | −1.59079 | + | 0.350160i | −0.920134 | − | 0.391604i | \(-0.871920\pi\) |
−0.670661 | + | 0.741764i | \(0.733989\pi\) | |||||||
\(702\) | −2.91519 | − | 1.34871i | −0.110027 | − | 0.0509038i | ||||
\(703\) | −13.2990 | − | 19.6145i | −0.501581 | − | 0.739776i | ||||
\(704\) | −0.00320190 | − | 0.00107885i | −0.000120676 | − | 4.06606e-5i | ||||
\(705\) | 0.422989 | − | 1.52347i | 0.0159307 | − | 0.0573771i | ||||
\(706\) | −6.27015 | + | 38.2462i | −0.235980 | + | 1.43941i | ||||
\(707\) | −6.59843 | −0.248159 | ||||||||
\(708\) | −5.85475 | + | 3.88544i | −0.220035 | + | 0.146024i | ||||
\(709\) | 7.36253 | 0.276506 | 0.138253 | − | 0.990397i | \(-0.455851\pi\) | ||||
0.138253 | + | 0.990397i | \(0.455851\pi\) | |||||||
\(710\) | 14.8799 | − | 90.7634i | 0.558433 | − | 3.40629i | ||||
\(711\) | 1.63623 | − | 5.89317i | 0.0613635 | − | 0.221011i | ||||
\(712\) | 12.5414 | + | 4.22569i | 0.470009 | + | 0.158364i | ||||
\(713\) | 21.8251 | + | 32.1896i | 0.817356 | + | 1.20551i | ||||
\(714\) | −0.612608 | − | 0.283422i | −0.0229263 | − | 0.0106068i | ||||
\(715\) | −0.0151518 | + | 0.00333515i | −0.000566643 | + | 0.000124728i | ||||
\(716\) | 6.79647 | − | 12.8195i | 0.253996 | − | 0.479087i | ||||
\(717\) | −9.11754 | − | 5.48584i | −0.340501 | − | 0.204873i | ||||
\(718\) | 14.7295 | − | 6.81461i | 0.549701 | − | 0.254319i | ||||
\(719\) | −8.52795 | + | 6.48278i | −0.318039 | + | 0.241767i | −0.751998 | − | 0.659166i | \(-0.770910\pi\) |
0.433959 | + | 0.900933i | \(0.357116\pi\) | |||||||
\(720\) | 12.0279 | − | 17.7398i | 0.448254 | − | 0.661125i | ||||
\(721\) | 3.28375 | − | 1.97577i | 0.122293 | − | 0.0735814i | ||||
\(722\) | 0.618529 | + | 11.4081i | 0.0230193 | + | 0.424565i | ||||
\(723\) | 4.70525 | − | 1.58538i | 0.174990 | − | 0.0589611i | ||||
\(724\) | −10.0016 | − | 7.60298i | −0.371705 | − | 0.282563i | ||||
\(725\) | −112.372 | − | 24.7349i | −4.17338 | − | 0.918630i | ||||
\(726\) | −12.1580 | + | 14.3134i | −0.451224 | + | 0.531222i | ||||
\(727\) | 37.9787 | − | 4.13043i | 1.40855 | − | 0.153189i | 0.627968 | − | 0.778239i | \(-0.283887\pi\) |
0.780585 | + | 0.625050i | \(0.214921\pi\) | |||||||
\(728\) | −0.316224 | − | 1.13894i | −0.0117201 | − | 0.0422118i | ||||
\(729\) | 0.0541389 | − | 0.998533i | 0.00200514 | − | 0.0369827i | ||||
\(730\) | 13.0241 | + | 24.5661i | 0.482044 | + | 0.909231i | ||||
\(731\) | 1.60522 | + | 1.88981i | 0.0593711 | + | 0.0698971i | ||||
\(732\) | −0.259738 | − | 0.246037i | −0.00960018 | − | 0.00909378i | ||||
\(733\) | −0.104894 | + | 0.263265i | −0.00387436 | + | 0.00972392i | −0.930901 | − | 0.365271i | \(-0.880976\pi\) |
0.927027 | + | 0.374995i | \(0.122356\pi\) | |||||||
\(734\) | 17.8581 | + | 44.8205i | 0.659155 | + | 1.65435i | ||||
\(735\) | −21.4576 | + | 20.3258i | −0.791477 | + | 0.749727i | ||||
\(736\) | −19.6230 | − | 2.13413i | −0.723313 | − | 0.0786651i | ||||
\(737\) | −0.00148160 | − | 0.00903735i | −5.45754e−5 | − | 0.000332895i | ||||
\(738\) | 2.76573 | + | 16.8702i | 0.101808 | + | 0.621000i | ||||
\(739\) | −16.4792 | − | 1.79222i | −0.606196 | − | 0.0659278i | −0.200127 | − | 0.979770i | \(-0.564135\pi\) |
−0.406069 | + | 0.913842i | \(0.633101\pi\) | |||||||
\(740\) | 19.2583 | − | 18.2424i | 0.707950 | − | 0.670606i | ||||
\(741\) | 2.44309 | + | 6.13170i | 0.0897493 | + | 0.225254i | ||||
\(742\) | 2.13314 | − | 5.35377i | 0.0783099 | − | 0.196543i | ||||
\(743\) | 15.2183 | + | 14.4155i | 0.558305 | + | 0.528855i | 0.913982 | − | 0.405754i | \(-0.132991\pi\) |
−0.355677 | + | 0.934609i | \(0.615750\pi\) | |||||||
\(744\) | 11.3873 | + | 13.4062i | 0.417479 | + | 0.491494i | ||||
\(745\) | −10.9987 | − | 20.7458i | −0.402962 | − | 0.760067i | ||||
\(746\) | −0.970443 | + | 17.8988i | −0.0355304 | + | 0.655320i | ||||
\(747\) | 2.54348 | + | 9.16078i | 0.0930610 | + | 0.335176i | ||||
\(748\) | 0.00203681 | 0.000221516i | 7.44731e−5 | 8.09944e-6i | ||||||
\(749\) | 2.63023 | − | 3.09655i | 0.0961065 | − | 0.113145i | ||||
\(750\) | 60.3278 | + | 13.2792i | 2.20286 | + | 0.484886i | ||||
\(751\) | 20.1116 | + | 15.2884i | 0.733882 | + | 0.557883i | 0.903996 | − | 0.427542i | \(-0.140620\pi\) |
−0.170114 | + | 0.985424i | \(0.554413\pi\) | |||||||
\(752\) | −1.74263 | + | 0.587159i | −0.0635470 | + | 0.0214115i | ||||
\(753\) | 0.233933 | + | 4.31464i | 0.00852499 | + | 0.157234i | ||||
\(754\) | 23.5831 | − | 14.1895i | 0.858845 | − | 0.516750i | ||||
\(755\) | 33.4155 | − | 49.2842i | 1.21611 | − | 1.79363i | ||||
\(756\) | −0.246958 | + | 0.187732i | −0.00898176 | + | 0.00682775i | ||||
\(757\) | −21.4796 | + | 9.93751i | −0.780688 | + | 0.361185i | −0.769413 | − | 0.638752i | \(-0.779451\pi\) |
−0.0112752 | + | 0.999936i | \(0.503589\pi\) | |||||||
\(758\) | 1.25827 | + | 0.757077i | 0.0457025 | + | 0.0274983i | ||||
\(759\) | −0.00368589 | + | 0.00695233i | −0.000133789 | + | 0.000252354i | ||||
\(760\) | −27.2508 | + | 5.99836i | −0.988491 | + | 0.217583i | ||||
\(761\) | 37.3539 | + | 17.2817i | 1.35408 | + | 0.626462i | 0.956668 | − | 0.291180i | \(-0.0940478\pi\) |
0.397408 | + | 0.917642i | \(0.369910\pi\) | |||||||
\(762\) | −6.56070 | − | 9.67631i | −0.237669 | − | 0.350536i | ||||
\(763\) | 2.68390 | + | 0.904311i | 0.0971637 | + | 0.0327383i | ||||
\(764\) | 5.75151 | − | 20.7151i | 0.208082 | − | 0.749445i | ||||
\(765\) | 0.809724 | − | 4.93910i | 0.0292756 | − | 0.178573i | ||||
\(766\) | −35.5873 | −1.28582 | ||||||||
\(767\) | −14.2834 | + | 2.19643i | −0.515743 | + | 0.0793084i | ||||
\(768\) | −18.0622 | −0.651763 | ||||||||
\(769\) | −1.10865 | + | 6.76250i | −0.0399791 | + | 0.243862i | −0.999254 | − | 0.0386114i | \(-0.987707\pi\) |
0.959275 | + | 0.282473i | \(0.0911548\pi\) | |||||||
\(770\) | −0.00127721 | + | 0.00460011i | −4.60276e−5 | + | 0.000165776i | ||||
\(771\) | 6.38202 | + | 2.15035i | 0.229843 | + | 0.0774430i | ||||
\(772\) | 6.19904 | + | 9.14290i | 0.223108 | + | 0.329060i | ||||
\(773\) | −26.1455 | − | 12.0962i | −0.940387 | − | 0.435070i | −0.111048 | − | 0.993815i | \(-0.535421\pi\) |
−0.829339 | + | 0.558746i | \(0.811283\pi\) | |||||||
\(774\) | 3.54599 | − | 0.780531i | 0.127458 | − | 0.0280556i | ||||
\(775\) | −59.7162 | + | 112.637i | −2.14507 | + | 4.04603i | ||||
\(776\) | 9.86218 | + | 5.93387i | 0.354032 | + | 0.213014i | ||||
\(777\) | 2.07888 | − | 0.961792i | 0.0745794 | − | 0.0345041i | ||||
\(778\) | −15.1458 | + | 11.5135i | −0.543002 | + | 0.412780i | ||||
\(779\) | 19.7142 | − | 29.0762i | 0.706334 | − | 1.04176i | ||||
\(780\) | −6.33079 | + | 3.80911i | −0.226679 | + | 0.136388i | ||||
\(781\) | 0.00130510 | + | 0.0240712i | 4.67003e−5 | + | 0.000861337i | ||||
\(782\) | −7.72719 | + | 2.60359i | −0.276324 | + | 0.0931043i | ||||
\(783\) | 6.82137 | + | 5.18547i | 0.243776 | + | 0.185314i | ||||
\(784\) | 33.5714 | + | 7.38962i | 1.19898 | + | 0.263915i | ||||
\(785\) | 40.7862 | − | 48.0172i | 1.45572 | − | 1.71381i | ||||
\(786\) | −5.06360 | + | 0.550699i | −0.180613 | + | 0.0196428i | ||||
\(787\) | 6.92310 | + | 24.9348i | 0.246782 | + | 0.888829i | 0.978332 | + | 0.207041i | \(0.0663833\pi\) |
−0.731550 | + | 0.681788i | \(0.761203\pi\) | |||||||
\(788\) | −1.12035 | + | 20.6636i | −0.0399108 | + | 0.736112i | ||||
\(789\) | 11.7816 | + | 22.2224i | 0.419435 | + | 0.791139i | ||||
\(790\) | −29.0193 | − | 34.1641i | −1.03246 | − | 1.21550i | ||||
\(791\) | 0.424172 | + | 0.401797i | 0.0150818 | + | 0.0142862i | ||||
\(792\) | −0.00131732 | + | 0.00330623i | −4.68089e−5 | + | 0.000117482i | ||||
\(793\) | −0.272344 | − | 0.683533i | −0.00967123 | − | 0.0242730i | ||||
\(794\) | −10.3471 | + | 9.80127i | −0.367204 | + | 0.347834i | ||||
\(795\) | 42.4823 | + | 4.62023i | 1.50669 | + | 0.163863i | ||||
\(796\) | 1.74888 | + | 10.6677i | 0.0619875 | + | 0.378107i | ||||
\(797\) | −3.64207 | − | 22.2156i | −0.129009 | − | 0.786917i | −0.969500 | − | 0.245092i | \(-0.921182\pi\) |
0.840491 | − | 0.541825i | \(-0.182267\pi\) | |||||||
\(798\) | 2.01920 | + | 0.219601i | 0.0714789 | + | 0.00777380i | ||||
\(799\) | −0.311755 | + | 0.295310i | −0.0110291 | + | 0.0104473i | ||||
\(800\) | −23.9498 | − | 60.1094i | −0.846752 | − | 2.12519i | ||||
\(801\) | 2.64391 | − | 6.63571i | 0.0934179 | − | 0.234461i | ||||
\(802\) | 13.4976 | + | 12.7856i | 0.476618 | + | 0.451477i | ||||
\(803\) | −0.00471794 | − | 0.00555439i | −0.000166492 | − | 0.000196010i | ||||
\(804\) | −2.04286 | − | 3.85324i | −0.0720460 | − | 0.135893i | ||||
\(805\) | 0.322842 | − | 5.95446i | 0.0113787 | − | 0.209867i | ||||
\(806\) | −8.15826 | − | 29.3834i | −0.287363 | − | 1.03499i | ||||
\(807\) | 12.8843 | − | 1.40125i | 0.453549 | − | 0.0493265i | ||||
\(808\) | −23.3392 | + | 27.4770i | −0.821070 | + | 0.966639i | ||||
\(809\) | −4.37069 | − | 0.962061i | −0.153665 | − | 0.0338243i | 0.137472 | − | 0.990506i | \(-0.456102\pi\) |
−0.291137 | + | 0.956681i | \(0.594033\pi\) | |||||||
\(810\) | −5.83461 | − | 4.43535i | −0.205007 | − | 0.155842i | ||||
\(811\) | −25.7151 | + | 8.66443i | −0.902979 | + | 0.304249i | −0.732224 | − | 0.681064i | \(-0.761517\pi\) |
−0.170756 | + | 0.985313i | \(0.554621\pi\) | |||||||
\(812\) | −0.143905 | − | 2.65417i | −0.00505007 | − | 0.0931431i | ||||
\(813\) | −11.1983 | + | 6.73780i | −0.392742 | + | 0.236305i | ||||
\(814\) | −0.0124320 | + | 0.0183358i | −0.000435741 | + | 0.000642669i | ||||
\(815\) | −63.9768 | + | 48.6339i | −2.24101 | + | 1.70357i | ||||
\(816\) | −5.28305 | + | 2.44420i | −0.184944 | + | 0.0855642i | ||||
\(817\) | −6.39311 | − | 3.84660i | −0.223666 | − | 0.134576i | ||||
\(818\) | −11.1389 | + | 21.0101i | −0.389461 | + | 0.734601i | ||||
\(819\) | −0.623071 | + | 0.137148i | −0.0217719 | + | 0.00479235i | ||||
\(820\) | 35.6884 | + | 16.5112i | 1.24629 | + | 0.576597i | ||||
\(821\) | 7.38535 | + | 10.8926i | 0.257751 | + | 0.380154i | 0.934443 | − | 0.356112i | \(-0.115898\pi\) |
−0.676693 | + | 0.736266i | \(0.736587\pi\) | |||||||
\(822\) | −16.2908 | − | 5.48902i | −0.568208 | − | 0.191452i | ||||
\(823\) | −7.04119 | + | 25.3601i | −0.245441 | + | 0.883997i | 0.733472 | + | 0.679719i | \(0.237898\pi\) |
−0.978913 | + | 0.204278i | \(0.934515\pi\) | |||||||
\(824\) | 3.38746 | − | 20.6626i | 0.118008 | − | 0.719815i | ||||
\(825\) | −0.0257951 | −0.000898070 | ||||||||
\(826\) | −1.46164 | + | 4.19988i | −0.0508568 | + | 0.146133i | ||||
\(827\) | −41.4753 | −1.44224 | −0.721119 | − | 0.692811i | \(-0.756372\pi\) | ||||
−0.721119 | + | 0.692811i | \(0.756372\pi\) | |||||||
\(828\) | −0.606263 | + | 3.69804i | −0.0210691 | + | 0.128516i | ||||
\(829\) | 10.5117 | − | 37.8598i | 0.365087 | − | 1.31492i | −0.521852 | − | 0.853036i | \(-0.674759\pi\) |
0.886938 | − | 0.461888i | \(-0.152828\pi\) | |||||||
\(830\) | 66.0322 | + | 22.2488i | 2.29201 | + | 0.772268i | ||||
\(831\) | −4.17958 | − | 6.16443i | −0.144988 | − | 0.213842i | ||||
\(832\) | −3.00336 | − | 1.38950i | −0.104123 | − | 0.0481724i | ||||
\(833\) | 7.83960 | − | 1.72563i | 0.271626 | − | 0.0597894i | ||||
\(834\) | 3.54715 | − | 6.69063i | 0.122828 | − | 0.231678i | ||||
\(835\) | 6.35198 | + | 3.82186i | 0.219819 | + | 0.132261i | ||||
\(836\) | −0.00559525 | + | 0.00258864i | −0.000193516 | + | 8.95299e-5i | ||||
\(837\) | 7.55801 | − | 5.74545i | 0.261243 | − | 0.198592i | ||||
\(838\) | −21.6673 | + | 31.9569i | −0.748484 | + | 1.10393i | ||||
\(839\) | 35.3183 | − | 21.2503i | 1.21932 | − | 0.733643i | 0.247394 | − | 0.968915i | \(-0.420426\pi\) |
0.971930 | + | 0.235272i | \(0.0755982\pi\) | |||||||
\(840\) | −0.146015 | − | 2.69310i | −0.00503801 | − | 0.0929207i | ||||
\(841\) | −42.0949 | + | 14.1834i | −1.45155 | + | 0.489084i | ||||
\(842\) | −5.94492 | − | 4.51921i | −0.204875 | − | 0.155742i | ||||
\(843\) | −15.9143 | − | 3.50299i | −0.548116 | − | 0.120650i | ||||
\(844\) | −7.98145 | + | 9.39649i | −0.274733 | + | 0.323440i | ||||
\(845\) | 40.3736 | − | 4.39090i | 1.38889 | − | 0.151051i | ||||
\(846\) | 0.168225 | + | 0.605891i | 0.00578369 | + | 0.0208310i | ||||
\(847\) | −0.201945 | + | 3.72466i | −0.00693893 | + | 0.127981i | ||||
\(848\) | −23.2799 | − | 43.9106i | −0.799437 | − | 1.50790i | ||||
\(849\) | −7.90390 | − | 9.30519i | −0.271261 | − | 0.319353i | ||||
\(850\) | −19.4055 | − | 18.3819i | −0.665604 | − | 0.630493i | ||||
\(851\) | 10.2420 | − | 25.7054i | 0.351090 | − | 0.881169i | ||||
\(852\) | 4.24925 | + | 10.6648i | 0.145577 | + | 0.365371i | ||||
\(853\) | −24.2269 | + | 22.9489i | −0.829512 | + | 0.785755i | −0.979183 | − | 0.202981i | \(-0.934937\pi\) |
0.149671 | + | 0.988736i | \(0.452179\pi\) | |||||||
\(854\) | −0.225091 | − | 0.0244801i | −0.00770245 | − | 0.000837692i | ||||
\(855\) | 2.43652 | + | 14.8621i | 0.0833272 | + | 0.508274i | ||||
\(856\) | −3.59122 | − | 21.9055i | −0.122746 | − | 0.748715i | ||||
\(857\) | −19.6626 | − | 2.13844i | −0.671663 | − | 0.0730478i | −0.234069 | − | 0.972220i | \(-0.575204\pi\) |
−0.437595 | + | 0.899172i | \(0.644170\pi\) | |||||||
\(858\) | 0.00447952 | − | 0.00424323i | 0.000152928 | − | 0.000144861i | ||||
\(859\) | −16.7001 | − | 41.9142i | −0.569801 | − | 1.43009i | −0.877949 | − | 0.478755i | \(-0.841088\pi\) |
0.308147 | − | 0.951339i | \(-0.400291\pi\) | |||||||
\(860\) | 3.09130 | − | 7.75857i | 0.105412 | − | 0.264565i | ||||
\(861\) | 2.46513 | + | 2.33510i | 0.0840116 | + | 0.0795800i | ||||
\(862\) | −29.0618 | − | 34.2142i | −0.989850 | − | 1.16534i | ||||
\(863\) | −7.49848 | − | 14.1436i | −0.255251 | − | 0.481455i | 0.722459 | − | 0.691414i | \(-0.243012\pi\) |
−0.977710 | + | 0.209959i | \(0.932667\pi\) | |||||||
\(864\) | −0.260870 | + | 4.81146i | −0.00887497 | + | 0.163689i | ||||
\(865\) | −17.7809 | − | 64.0411i | −0.604570 | − | 2.17746i | ||||
\(866\) | −41.0787 | + | 4.46757i | −1.39591 | + | 0.151814i | ||||
\(867\) | 10.1256 | − | 11.9207i | 0.343882 | − | 0.404849i | ||||
\(868\) | −2.87626 | − | 0.633112i | −0.0976266 | − | 0.0214892i | ||||
\(869\) | 0.00935303 | + | 0.00710999i | 0.000317280 | + | 0.000241190i | ||||
\(870\) | 59.5121 | − | 20.0519i | 2.01765 | − | 0.679825i | ||||
\(871\) | −0.485597 | − | 8.95631i | −0.0164538 | − | 0.303473i | ||||
\(872\) | 13.2589 | − | 7.97762i | 0.449003 | − | 0.270156i | ||||
\(873\) | 3.48625 | − | 5.14183i | 0.117992 | − | 0.174025i | ||||
\(874\) | 19.5330 | − | 14.8486i | 0.660714 | − | 0.502262i | ||||
\(875\) | 11.1353 | − | 5.15174i | 0.376442 | − | 0.174161i | ||||
\(876\) | −2.97379 | − | 1.78927i | −0.100475 | − | 0.0604538i | ||||
\(877\) | −16.1724 | + | 30.5043i | −0.546102 | + | 1.03006i | 0.444820 | + | 0.895620i | \(0.353268\pi\) |
−0.990922 | + | 0.134437i | \(0.957077\pi\) | |||||||
\(878\) | −43.5602 | + | 9.58832i | −1.47008 | + | 0.323590i | ||||
\(879\) | 8.62941 | + | 3.99239i | 0.291063 | + | 0.134660i | ||||
\(880\) | 0.0231049 | + | 0.0340772i | 0.000778866 | + | 0.00114874i | ||||
\(881\) | 42.7982 | + | 14.4204i | 1.44191 | + | 0.485835i | 0.928184 | − | 0.372121i | \(-0.121369\pi\) |
0.513723 | + | 0.857956i | \(0.328266\pi\) | |||||||
\(882\) | 3.14470 | − | 11.3262i | 0.105887 | − | 0.381372i | ||||
\(883\) | 3.81148 | − | 23.2490i | 0.128267 | − | 0.782391i | −0.841843 | − | 0.539723i | \(-0.818529\pi\) |
0.970109 | − | 0.242668i | \(-0.0780227\pi\) | |||||||
\(884\) | 2.00664 | 0.0674906 | ||||||||
\(885\) | −32.9062 | − | 2.11157i | −1.10613 | − | 0.0709796i | ||||
\(886\) | −17.1093 | −0.574798 | ||||||||
\(887\) | −3.29702 | + | 20.1109i | −0.110703 | + | 0.675259i | 0.871920 | + | 0.489648i | \(0.162875\pi\) |
−0.982623 | + | 0.185611i | \(0.940574\pi\) | |||||||
\(888\) | 3.34810 | − | 12.0588i | 0.112355 | − | 0.404666i | ||||
\(889\) | −2.20049 | − | 0.741431i | −0.0738021 | − | 0.0248668i | ||||
\(890\) | −29.3791 | − | 43.3309i | −0.984789 | − | 1.45246i | ||||
\(891\) | 0.00174340 | 0.000806581i | 5.84060e−5 | 2.70215e-5i | ||||||
\(892\) | −5.37090 | + | 1.18222i | −0.179831 | + | 0.0395838i | ||||
\(893\) | 0.605253 | − | 1.14163i | 0.0202540 | − | 0.0382031i | ||||
\(894\) | 8.00179 | + | 4.81451i | 0.267620 | + | 0.161021i | ||||
\(895\) | 61.7957 | − | 28.5898i | 2.06560 | − | 0.955650i | ||||
\(896\) | −3.41227 | + | 2.59394i | −0.113996 | + | 0.0866574i | ||||
\(897\) | −4.32506 | + | 6.37898i | −0.144410 | + | 0.212988i | ||||
\(898\) | −17.4192 | + | 10.4808i | −0.581287 | + | 0.349749i | ||||
\(899\) | 4.40414 | + | 81.2295i | 0.146886 | + | 2.70916i | ||||
\(900\) | −11.6412 | + | 3.92239i | −0.388041 | + | 0.130746i | ||||
\(901\) | −9.23943 | − | 7.02363i | −0.307810 | − | 0.233991i | ||||
\(902\) | −0.0320715 | − | 0.00705946i | −0.00106786 | − | 0.000235054i | ||||
\(903\) | 0.466877 | − | 0.549650i | 0.0155367 | − | 0.0182912i | ||||
\(904\) | 3.17348 | − | 0.345137i | 0.105549 | − | 0.0114791i | ||||
\(905\) | −15.7721 | − | 56.8061i | −0.524283 | − | 1.88830i | ||||
\(906\) | −1.28207 | + | 23.6463i | −0.0425938 | + | 0.785597i | ||||
\(907\) | −18.6505 | − | 35.1787i | −0.619281 | − | 1.16809i | −0.972578 | − | 0.232577i | \(-0.925284\pi\) |
0.353297 | − | 0.935511i | \(-0.385061\pi\) | |||||||
\(908\) | −4.72132 | − | 5.55837i | −0.156683 | − | 0.184461i | ||||
\(909\) | 14.1268 | + | 13.3816i | 0.468555 | + | 0.443839i | ||||
\(910\) | −1.73071 | + | 4.34375i | −0.0573724 | + | 0.143994i | ||||
\(911\) | 15.6750 | + | 39.3412i | 0.519335 | + | 1.30343i | 0.921682 | + | 0.387946i | \(0.126815\pi\) |
−0.402347 | + | 0.915487i | \(0.631805\pi\) | |||||||
\(912\) | 12.7166 | − | 12.0458i | 0.421087 | − | 0.398875i | ||||
\(913\) | −0.0181559 | − | 0.00197458i | −0.000600874 | − | 6.53490e-5i | ||||
\(914\) | 4.28016 | + | 26.1078i | 0.141575 | + | 0.863570i | ||||
\(915\) | −0.271612 | − | 1.65676i | −0.00897921 | − | 0.0547707i | ||||
\(916\) | 11.3069 | + | 1.22970i | 0.373591 | + | 0.0406305i | ||||
\(917\) | −0.734470 | + | 0.695727i | −0.0242543 | + | 0.0229749i | ||||
\(918\) | 0.736769 | + | 1.84915i | 0.0243170 | + | 0.0610311i | ||||
\(919\) | −9.38227 | + | 23.5477i | −0.309493 | + | 0.776768i | 0.689147 | + | 0.724622i | \(0.257985\pi\) |
−0.998639 | + | 0.0521461i | \(0.983394\pi\) | |||||||
\(920\) | −23.6535 | − | 22.4058i | −0.779834 | − | 0.738698i | ||||
\(921\) | −22.3164 | − | 26.2729i | −0.735351 | − | 0.865722i | ||||
\(922\) | 2.22207 | + | 4.19126i | 0.0731798 | + | 0.138032i | ||||
\(923\) | −1.27824 | + | 23.5757i | −0.0420737 | + | 0.776004i | ||||
\(924\) | −0.000159420 | 0 | 0.000574178i | −5.24452e−6 | 0 | 1.88891e-5i | ||||
\(925\) | 90.1747 | − | 9.80709i | 2.96492 | − | 0.322455i | ||||
\(926\) | −23.4135 | + | 27.5646i | −0.769417 | + | 0.905827i | ||||
\(927\) | −11.0371 | − | 2.42945i | −0.362507 | − | 0.0797937i | ||||
\(928\) | −32.8689 | − | 24.9863i | −1.07898 | − | 0.820216i | ||||
\(929\) | −12.2633 | + | 4.13198i | −0.402345 | + | 0.135566i | −0.513196 | − | 0.858271i | \(-0.671539\pi\) |
0.110851 | + | 0.993837i | \(0.464642\pi\) | |||||||
\(930\) | −3.76705 | − | 69.4791i | −0.123526 | − | 2.27831i | ||||
\(931\) | −20.6971 | + | 12.4530i | −0.678320 | + | 0.408132i | ||||
\(932\) | 12.8754 | − | 18.9897i | 0.421746 | − | 0.622029i | ||||
\(933\) | −1.35458 | + | 1.02972i | −0.0443468 | + | 0.0337116i | ||||
\(934\) | 44.2905 | − | 20.4910i | 1.44923 | − | 0.670485i | ||||
\(935\) | 0.00823814 | + | 0.00495672i | 0.000269416 | + | 0.000162102i | ||||
\(936\) | −1.63275 | + | 3.07968i | −0.0533680 | + | 0.100663i | ||||
\(937\) | 12.0053 | − | 2.64256i | 0.392195 | − | 0.0863287i | −0.0144947 | − | 0.999895i | \(-0.504614\pi\) |
0.406690 | + | 0.913566i | \(0.366683\pi\) | |||||||
\(938\) | −2.50499 | − | 1.15893i | −0.0817908 | − | 0.0378404i | ||||
\(939\) | 2.90996 | + | 4.29187i | 0.0949629 | + | 0.140060i | ||||
\(940\) | 1.37068 | + | 0.461835i | 0.0447065 | + | 0.0150634i | ||||
\(941\) | 13.2566 | − | 47.7461i | 0.432154 | − | 1.55648i | −0.352055 | − | 0.935979i | \(-0.614517\pi\) |
0.784209 | − | 0.620497i | \(-0.213069\pi\) | |||||||
\(942\) | −4.05360 | + | 24.7258i | −0.132073 | + | 0.805612i | ||||
\(943\) | 41.0185 | 1.33574 | ||||||||
\(944\) | 19.4447 | + | 33.0549i | 0.632870 | + | 1.07584i | ||||
\(945\) | −1.45571 | −0.0473543 | ||||||||
\(946\) | −0.00112838 | + | 0.00688281i | −3.66868e−5 | + | 0.000223780i | ||||
\(947\) | 12.3252 | − | 44.3915i | 0.400516 | − | 1.44253i | −0.438652 | − | 0.898657i | \(-0.644544\pi\) |
0.839168 | − | 0.543872i | \(-0.183042\pi\) | |||||||
\(948\) | 5.30214 | + | 1.78650i | 0.172205 | + | 0.0580227i | ||||
\(949\) | −4.00555 | − | 5.90775i | −0.130026 | − | 0.191774i | ||||
\(950\) | 72.9973 | + | 33.7722i | 2.36835 | + | 1.09571i | ||||
\(951\) | −6.14310 | + | 1.35220i | −0.199204 | + | 0.0438481i | ||||
\(952\) | −0.343110 | + | 0.647175i | −0.0111203 | + | 0.0209751i | ||||
\(953\) | −0.876104 | − | 0.527134i | −0.0283798 | − | 0.0170756i | 0.501293 | − | 0.865277i | \(-0.332858\pi\) |
−0.529673 | + | 0.848202i | \(0.677685\pi\) | |||||||
\(954\) | −15.4243 | + | 7.13604i | −0.499380 | + | 0.231038i | ||||
\(955\) | 80.3143 | − | 61.0534i | 2.59891 | − | 1.97564i | ||||
\(956\) | 5.46265 | − | 8.05680i | 0.176675 | − | 0.260576i | ||||
\(957\) | −0.0141036 | + | 0.00848585i | −0.000455904 | + | 0.000274309i | ||||
\(958\) | 3.01109 | + | 55.5362i | 0.0972838 | + | 1.79429i | ||||
\(959\) | −3.23572 | + | 1.09024i | −0.104487 | + | 0.0352057i | ||||
\(960\) | −6.01108 | − | 4.56951i | −0.194007 | − | 0.147480i | ||||
\(961\) | 57.7512 | + | 12.7120i | 1.86294 | + | 0.410065i | ||||
\(962\) | −14.0463 | + | 16.5366i | −0.452871 | + | 0.533161i | ||||
\(963\) | −11.9109 | + | 1.29539i | −0.383824 | + | 0.0417434i | ||||
\(964\) | 1.21515 | + | 4.37657i | 0.0391373 | + | 0.140960i | ||||
\(965\) | −2.80636 | + | 51.7603i | −0.0903399 | + | 1.66622i | ||||
\(966\) | 1.11088 | + | 2.09533i | 0.0357419 | + | 0.0674163i | ||||
\(967\) | 2.40489 | + | 2.83125i | 0.0773360 | + | 0.0910470i | 0.799469 | − | 0.600707i | \(-0.205114\pi\) |
−0.722133 | + | 0.691754i | \(0.756838\pi\) | |||||||
\(968\) | 14.7959 | + | 14.0154i | 0.475557 | + | 0.450472i | ||||
\(969\) | 1.51399 | − | 3.79983i | 0.0486364 | − | 0.122068i | ||||
\(970\) | −16.8524 | − | 42.2964i | −0.541098 | − | 1.35805i | ||||
\(971\) | −11.6011 | + | 10.9892i | −0.372299 | + | 0.352660i | −0.850858 | − | 0.525395i | \(-0.823918\pi\) |
0.478560 | + | 0.878055i | \(0.341159\pi\) | |||||||
\(972\) | 0.909438 | + | 0.0989073i | 0.0291702 | + | 0.00317245i | ||||
\(973\) | −0.243339 | − | 1.48430i | −0.00780110 | − | 0.0475846i | ||||
\(974\) | −3.19191 | − | 19.4698i | −0.102275 | − | 0.623852i | ||||
\(975\) | −25.1160 | − | 2.73153i | −0.804355 | − | 0.0874788i | ||||
\(976\) | −1.41758 | + | 1.34280i | −0.0453756 | + | 0.0429821i | ||||
\(977\) | −10.0365 | − | 25.1897i | −0.321097 | − | 0.805891i | −0.997586 | − | 0.0694393i | \(-0.977879\pi\) |
0.676490 | − | 0.736452i | \(-0.263500\pi\) | |||||||
\(978\) | 11.8300 | − | 29.6910i | 0.378281 | − | 0.949413i | ||||
\(979\) | 0.00996163 | + | 0.00943615i | 0.000318375 | + | 0.000301581i | ||||
\(980\) | −17.5040 | − | 20.6073i | −0.559146 | − | 0.658277i | ||||
\(981\) | −3.91210 | − | 7.37900i | −0.124904 | − | 0.235593i | ||||
\(982\) | 2.93439 | − | 54.1217i | 0.0936402 | − | 1.72709i | ||||
\(983\) | 8.03289 | + | 28.9318i | 0.256209 | + | 0.922783i | 0.974005 | + | 0.226528i | \(0.0727376\pi\) |
−0.717795 | + | 0.696254i | \(0.754849\pi\) | |||||||
\(984\) | 18.4432 | − | 2.00581i | 0.587946 | − | 0.0639430i | ||||
\(985\) | −62.8673 | + | 74.0131i | −2.00312 | + | 2.35825i | ||||
\(986\) | −16.6572 | − | 3.66652i | −0.530472 | − | 0.116766i | ||||
\(987\) | 0.0994286 | + | 0.0755837i | 0.00316485 | + | 0.00240585i | ||||
\(988\) | −5.72206 | + | 1.92799i | −0.182043 | + | 0.0613374i | ||||
\(989\) | −0.471651 | − | 8.69910i | −0.0149976 | − | 0.276615i | ||||
\(990\) | 0.0120634 | − | 0.00725831i | 0.000383400 | − | 0.000230684i | ||||
\(991\) | 5.34167 | − | 7.87838i | 0.169684 | − | 0.250265i | −0.733333 | − | 0.679869i | \(-0.762037\pi\) |
0.903017 | + | 0.429604i | \(0.141347\pi\) | |||||||
\(992\) | −36.4185 | + | 27.6846i | −1.15629 | + | 0.878987i | ||||
\(993\) | −10.8657 | + | 5.02701i | −0.344813 | + | 0.159527i | ||||
\(994\) | 6.22540 | + | 3.74570i | 0.197458 | + | 0.118806i | ||||
\(995\) | −23.7614 | + | 44.8188i | −0.753288 | + | 1.42085i | ||||
\(996\) | −8.49397 | + | 1.86966i | −0.269142 | + | 0.0592426i | ||||
\(997\) | −27.3768 | − | 12.6659i | −0.867033 | − | 0.401132i | −0.0646259 | − | 0.997910i | \(-0.520585\pi\) |
−0.802407 | + | 0.596778i | \(0.796447\pi\) | |||||||
\(998\) | −31.3665 | − | 46.2621i | −0.992889 | − | 1.46440i | ||||
\(999\) | −6.40124 | − | 2.15683i | −0.202526 | − | 0.0682390i |
(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 | 177.2.e.b.169.4 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.b.523.2 | 140 | |||
59.22 | even | 29 | inner | 177.2.e.b.22.4 | ✓ | 140 | |
177.140 | odd | 58 | 531.2.i.b.199.2 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.22.4 | ✓ | 140 | 59.22 | even | 29 | inner | |
177.2.e.b.169.4 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.b.199.2 | 140 | 177.140 | odd | 58 | |||
531.2.i.b.523.2 | 140 | 3.2 | odd | 2 |