Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 25.7 | ||
Character | \(\chi\) | \(=\) | 81.25 |
Dual form | 81.2.g.a.13.7 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{23}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38037 | − | 0.693250i | 0.976072 | − | 0.490202i | 0.112076 | − | 0.993700i | \(-0.464250\pi\) |
0.863996 | + | 0.503498i | \(0.167954\pi\) | |||||||
\(3\) | −0.395594 | + | 1.68627i | −0.228396 | + | 0.973568i | ||||
\(4\) | 0.230520 | − | 0.309643i | 0.115260 | − | 0.154821i | ||||
\(5\) | 0.145961 | − | 0.487543i | 0.0652757 | − | 0.218036i | −0.919128 | − | 0.393958i | \(-0.871106\pi\) |
0.984404 | + | 0.175922i | \(0.0562907\pi\) | |||||||
\(6\) | 0.622938 | + | 2.60193i | 0.254314 | + | 1.06223i | ||||
\(7\) | 1.57975 | − | 3.66226i | 0.597088 | − | 1.38420i | −0.304876 | − | 0.952392i | \(-0.598615\pi\) |
0.901963 | − | 0.431813i | \(-0.142126\pi\) | |||||||
\(8\) | −0.432916 | + | 2.45519i | −0.153059 | + | 0.868041i | ||||
\(9\) | −2.68701 | − | 1.33416i | −0.895670 | − | 0.444719i | ||||
\(10\) | −0.136509 | − | 0.774179i | −0.0431678 | − | 0.244817i | ||||
\(11\) | −3.72537 | − | 0.882929i | −1.12324 | − | 0.266213i | −0.373296 | − | 0.927712i | \(-0.621772\pi\) |
−0.749946 | + | 0.661499i | \(0.769921\pi\) | |||||||
\(12\) | 0.430949 | + | 0.511212i | 0.124404 | + | 0.147574i | ||||
\(13\) | −2.60109 | + | 1.71076i | −0.721412 | + | 0.474480i | −0.856365 | − | 0.516372i | \(-0.827282\pi\) |
0.134952 | + | 0.990852i | \(0.456912\pi\) | |||||||
\(14\) | −0.358223 | − | 6.15045i | −0.0957391 | − | 1.64378i | ||||
\(15\) | 0.764388 | + | 0.438998i | 0.197364 | + | 0.113349i | ||||
\(16\) | 1.32590 | + | 4.42882i | 0.331476 | + | 1.10721i | ||||
\(17\) | −1.41129 | − | 0.513668i | −0.342288 | − | 0.124583i | 0.165156 | − | 0.986268i | \(-0.447187\pi\) |
−0.507444 | + | 0.861685i | \(0.669410\pi\) | |||||||
\(18\) | −4.63398 | + | 0.0211340i | −1.09224 | + | 0.00498134i | ||||
\(19\) | 6.30242 | − | 2.29389i | 1.44587 | − | 0.526255i | 0.504439 | − | 0.863447i | \(-0.331699\pi\) |
0.941436 | + | 0.337192i | \(0.109477\pi\) | |||||||
\(20\) | −0.117317 | − | 0.157584i | −0.0262329 | − | 0.0352369i | ||||
\(21\) | 5.55062 | + | 4.11265i | 1.21125 | + | 0.897453i | ||||
\(22\) | −5.75450 | + | 1.36384i | −1.22686 | + | 0.290772i | ||||
\(23\) | −0.469931 | − | 1.08942i | −0.0979874 | − | 0.227160i | 0.862171 | − | 0.506618i | \(-0.169105\pi\) |
−0.960158 | + | 0.279458i | \(0.909845\pi\) | |||||||
\(24\) | −3.96885 | − | 1.70127i | −0.810139 | − | 0.347271i | ||||
\(25\) | 3.96105 | + | 2.60522i | 0.792209 | + | 0.521044i | ||||
\(26\) | −2.40449 | + | 4.16470i | −0.471559 | + | 0.816765i | ||||
\(27\) | 3.31271 | − | 4.00324i | 0.637532 | − | 0.770424i | ||||
\(28\) | −0.769829 | − | 1.33338i | −0.145484 | − | 0.251986i | ||||
\(29\) | −0.402098 | + | 6.90375i | −0.0746677 | + | 1.28199i | 0.728004 | + | 0.685573i | \(0.240448\pi\) |
−0.802671 | + | 0.596422i | \(0.796589\pi\) | |||||||
\(30\) | 1.35948 | + | 0.0760704i | 0.248205 | + | 0.0138885i | ||||
\(31\) | 0.0460395 | + | 0.00538124i | 0.00826893 | + | 0.000966499i | 0.120226 | − | 0.992747i | \(-0.461638\pi\) |
−0.111957 | + | 0.993713i | \(0.535712\pi\) | |||||||
\(32\) | 1.47883 | + | 1.56747i | 0.261423 | + | 0.277093i | ||||
\(33\) | 2.96259 | − | 5.93270i | 0.515721 | − | 1.03275i | ||||
\(34\) | −2.30421 | + | 0.269324i | −0.395169 | + | 0.0461886i | ||||
\(35\) | −1.55493 | − | 1.30474i | −0.262831 | − | 0.220541i | ||||
\(36\) | −1.03252 | + | 0.524463i | −0.172087 | + | 0.0874104i | ||||
\(37\) | −2.33905 | + | 1.96269i | −0.384537 | + | 0.322665i | −0.814481 | − | 0.580191i | \(-0.802978\pi\) |
0.429943 | + | 0.902856i | \(0.358533\pi\) | |||||||
\(38\) | 7.10946 | − | 7.53559i | 1.15331 | − | 1.22243i | ||||
\(39\) | −1.85583 | − | 5.06291i | −0.297171 | − | 0.810714i | ||||
\(40\) | 1.13382 | + | 0.569427i | 0.179273 | + | 0.0900343i | ||||
\(41\) | −5.30934 | − | 2.66645i | −0.829180 | − | 0.416430i | −0.0170132 | − | 0.999855i | \(-0.505416\pi\) |
−0.812167 | + | 0.583425i | \(0.801712\pi\) | |||||||
\(42\) | 10.5130 | + | 1.82902i | 1.62220 | + | 0.282224i | ||||
\(43\) | −0.163456 | + | 0.173253i | −0.0249268 | + | 0.0264208i | −0.739717 | − | 0.672918i | \(-0.765041\pi\) |
0.714790 | + | 0.699339i | \(0.246522\pi\) | |||||||
\(44\) | −1.13217 | + | 0.950001i | −0.170681 | + | 0.143218i | ||||
\(45\) | −1.04266 | + | 1.11530i | −0.155430 | + | 0.166259i | ||||
\(46\) | −1.40392 | − | 1.17803i | −0.206997 | − | 0.173691i | ||||
\(47\) | 4.70556 | − | 0.550002i | 0.686377 | − | 0.0802260i | 0.234246 | − | 0.972177i | \(-0.424738\pi\) |
0.452131 | + | 0.891951i | \(0.350664\pi\) | |||||||
\(48\) | −7.99271 | + | 0.483812i | −1.15365 | + | 0.0698323i | ||||
\(49\) | −6.11287 | − | 6.47927i | −0.873268 | − | 0.925610i | ||||
\(50\) | 7.27379 | + | 0.850185i | 1.02867 | + | 0.120234i | ||||
\(51\) | 1.42448 | − | 2.17661i | 0.199467 | − | 0.304787i | ||||
\(52\) | −0.0698789 | + | 1.19977i | −0.00969046 | + | 0.166379i | ||||
\(53\) | 6.81173 | + | 11.7983i | 0.935663 | + | 1.62062i | 0.773447 | + | 0.633860i | \(0.218531\pi\) |
0.162216 | + | 0.986755i | \(0.448136\pi\) | |||||||
\(54\) | 1.79754 | − | 7.82251i | 0.244614 | − | 1.06451i | ||||
\(55\) | −0.974224 | + | 1.68741i | −0.131364 | + | 0.227530i | ||||
\(56\) | 8.30765 | + | 5.46403i | 1.11016 | + | 0.730161i | ||||
\(57\) | 1.37492 | + | 11.5350i | 0.182113 | + | 1.52785i | ||||
\(58\) | 4.23098 | + | 9.80852i | 0.555555 | + | 1.28792i | ||||
\(59\) | −1.35914 | + | 0.322122i | −0.176945 | + | 0.0419368i | −0.318133 | − | 0.948046i | \(-0.603056\pi\) |
0.141188 | + | 0.989983i | \(0.454908\pi\) | |||||||
\(60\) | 0.312140 | − | 0.135489i | 0.0402971 | − | 0.0174915i | ||||
\(61\) | −0.187500 | − | 0.251856i | −0.0240069 | − | 0.0322469i | 0.789958 | − | 0.613161i | \(-0.210102\pi\) |
−0.813965 | + | 0.580914i | \(0.802695\pi\) | |||||||
\(62\) | 0.0672822 | − | 0.0244887i | 0.00854485 | − | 0.00311007i | ||||
\(63\) | −9.13082 | + | 7.73291i | −1.15038 | + | 0.974255i | ||||
\(64\) | −5.56048 | − | 2.02385i | −0.695060 | − | 0.252981i | ||||
\(65\) | 0.454414 | + | 1.51785i | 0.0563631 | + | 0.188266i | ||||
\(66\) | −0.0233577 | − | 10.2432i | −0.00287513 | − | 1.26085i | ||||
\(67\) | −0.319359 | − | 5.48318i | −0.0390159 | − | 0.669878i | −0.959952 | − | 0.280164i | \(-0.909611\pi\) |
0.920936 | − | 0.389713i | \(-0.127426\pi\) | |||||||
\(68\) | −0.484385 | + | 0.318585i | −0.0587403 | + | 0.0386341i | ||||
\(69\) | 2.02296 | − | 0.361461i | 0.243536 | − | 0.0435148i | ||||
\(70\) | −3.05090 | − | 0.723076i | −0.364652 | − | 0.0864241i | ||||
\(71\) | −2.03991 | − | 11.5689i | −0.242093 | − | 1.37298i | −0.827147 | − | 0.561985i | \(-0.810038\pi\) |
0.585054 | − | 0.810994i | \(-0.301073\pi\) | |||||||
\(72\) | 4.43886 | − | 6.01954i | 0.523125 | − | 0.709410i | ||||
\(73\) | 2.70207 | − | 15.3242i | 0.316253 | − | 1.79356i | −0.248853 | − | 0.968541i | \(-0.580053\pi\) |
0.565106 | − | 0.825019i | \(-0.308835\pi\) | |||||||
\(74\) | −1.86812 | + | 4.33080i | −0.217165 | + | 0.503445i | ||||
\(75\) | −5.96007 | + | 5.64878i | −0.688210 | + | 0.652265i | ||||
\(76\) | 0.742550 | − | 2.48029i | 0.0851763 | − | 0.284509i | ||||
\(77\) | −9.11866 | + | 12.2485i | −1.03917 | + | 1.39584i | ||||
\(78\) | −6.07160 | − | 5.70215i | −0.687474 | − | 0.645641i | ||||
\(79\) | −12.5080 | + | 6.28175i | −1.40726 | + | 0.706752i | −0.980299 | − | 0.197519i | \(-0.936712\pi\) |
−0.426960 | + | 0.904271i | \(0.640415\pi\) | |||||||
\(80\) | 2.35277 | 0.263048 | ||||||||
\(81\) | 5.44005 | + | 7.16979i | 0.604450 | + | 0.796643i | ||||
\(82\) | −9.17740 | −1.01347 | ||||||||
\(83\) | 0.628222 | − | 0.315505i | 0.0689563 | − | 0.0346312i | −0.413987 | − | 0.910283i | \(-0.635864\pi\) |
0.482943 | + | 0.875652i | \(0.339568\pi\) | |||||||
\(84\) | 2.55298 | − | 0.770661i | 0.278553 | − | 0.0840860i | ||||
\(85\) | −0.456428 | + | 0.613090i | −0.0495066 | + | 0.0664989i | ||||
\(86\) | −0.105523 | + | 0.352470i | −0.0113788 | + | 0.0380078i | ||||
\(87\) | −11.4825 | − | 3.40913i | −1.23106 | − | 0.365497i | ||||
\(88\) | 3.78053 | − | 8.76426i | 0.403006 | − | 0.934273i | ||||
\(89\) | 2.00921 | − | 11.3948i | 0.212976 | − | 1.20785i | −0.671408 | − | 0.741088i | \(-0.734310\pi\) |
0.884384 | − | 0.466760i | \(-0.154579\pi\) | |||||||
\(90\) | −0.666076 | + | 2.26235i | −0.0702106 | + | 0.238473i | ||||
\(91\) | 2.15620 | + | 12.2284i | 0.226032 | + | 1.28189i | ||||
\(92\) | −0.445661 | − | 0.105624i | −0.0464633 | − | 0.0110120i | ||||
\(93\) | −0.0272872 | + | 0.0755061i | −0.00282955 | + | 0.00782962i | ||||
\(94\) | 6.11415 | − | 4.02134i | 0.630627 | − | 0.414770i | ||||
\(95\) | −0.198465 | − | 3.40752i | −0.0203621 | − | 0.349604i | ||||
\(96\) | −3.22820 | + | 1.87363i | −0.329477 | + | 0.191227i | ||||
\(97\) | 3.73131 | + | 12.4634i | 0.378857 | + | 1.26547i | 0.908727 | + | 0.417391i | \(0.137055\pi\) |
−0.529870 | + | 0.848079i | \(0.677759\pi\) | |||||||
\(98\) | −12.9298 | − | 4.70606i | −1.30611 | − | 0.475384i | ||||
\(99\) | 8.83215 | + | 7.34267i | 0.887664 | + | 0.737966i | ||||
\(100\) | 1.71979 | − | 0.625952i | 0.171979 | − | 0.0625952i | ||||
\(101\) | −7.38327 | − | 9.91745i | −0.734663 | − | 0.986823i | −0.999745 | − | 0.0225975i | \(-0.992806\pi\) |
0.265082 | − | 0.964226i | \(-0.414601\pi\) | |||||||
\(102\) | 0.457380 | − | 3.99206i | 0.0452874 | − | 0.395273i | ||||
\(103\) | −2.03381 | + | 0.482021i | −0.200397 | + | 0.0474949i | −0.329588 | − | 0.944125i | \(-0.606910\pi\) |
0.129192 | + | 0.991620i | \(0.458762\pi\) | |||||||
\(104\) | −3.07420 | − | 7.12679i | −0.301450 | − | 0.698839i | ||||
\(105\) | 2.81527 | − | 2.10588i | 0.274742 | − | 0.205513i | ||||
\(106\) | 17.5819 | + | 11.5638i | 1.70770 | + | 1.12317i | ||||
\(107\) | 0.831363 | − | 1.43996i | 0.0803709 | − | 0.139207i | −0.823038 | − | 0.567986i | \(-0.807723\pi\) |
0.903409 | + | 0.428779i | \(0.141056\pi\) | |||||||
\(108\) | −0.475925 | − | 1.94859i | −0.0457959 | − | 0.187503i | ||||
\(109\) | −2.14981 | − | 3.72357i | −0.205914 | − | 0.356654i | 0.744510 | − | 0.667612i | \(-0.232683\pi\) |
−0.950424 | + | 0.310958i | \(0.899350\pi\) | |||||||
\(110\) | −0.175000 | + | 3.00463i | −0.0166856 | + | 0.286480i | ||||
\(111\) | −2.38432 | − | 4.72070i | −0.226309 | − | 0.448069i | ||||
\(112\) | 18.3141 | + | 2.14061i | 1.73052 | + | 0.202269i | ||||
\(113\) | 9.76830 | + | 10.3538i | 0.918924 | + | 0.974003i | 0.999742 | − | 0.0227261i | \(-0.00723458\pi\) |
−0.0808175 | + | 0.996729i | \(0.525753\pi\) | |||||||
\(114\) | 9.89457 | + | 14.9695i | 0.926711 | + | 1.40202i | ||||
\(115\) | −0.599732 | + | 0.0700986i | −0.0559253 | + | 0.00653673i | ||||
\(116\) | 2.04501 | + | 1.71596i | 0.189874 | + | 0.159323i | ||||
\(117\) | 9.27158 | − | 1.12658i | 0.857158 | − | 0.104152i | ||||
\(118\) | −1.65281 | + | 1.38687i | −0.152154 | + | 0.127672i | ||||
\(119\) | −4.11067 | + | 4.35705i | −0.376824 | + | 0.399410i | ||||
\(120\) | −1.40874 | + | 1.68667i | −0.128600 | + | 0.153971i | ||||
\(121\) | 3.26887 | + | 1.64169i | 0.297170 | + | 0.149244i | ||||
\(122\) | −0.433420 | − | 0.217672i | −0.0392400 | − | 0.0197071i | ||||
\(123\) | 6.59670 | − | 7.89815i | 0.594805 | − | 0.712152i | ||||
\(124\) | 0.0122793 | − | 0.0130153i | 0.00110271 | − | 0.00116881i | ||||
\(125\) | 3.79760 | − | 3.18657i | 0.339668 | − | 0.285015i | ||||
\(126\) | −7.24312 | + | 17.0043i | −0.645268 | + | 1.51486i | ||||
\(127\) | 14.1754 | + | 11.8946i | 1.25787 | + | 1.05548i | 0.995906 | + | 0.0903976i | \(0.0288138\pi\) |
0.261961 | + | 0.965078i | \(0.415631\pi\) | |||||||
\(128\) | −13.3594 | + | 1.56149i | −1.18081 | + | 0.138017i | ||||
\(129\) | −0.227489 | − | 0.344168i | −0.0200293 | − | 0.0303023i | ||||
\(130\) | 1.67951 | + | 1.78018i | 0.147303 | + | 0.156132i | ||||
\(131\) | 5.51565 | + | 0.644687i | 0.481904 | + | 0.0563265i | 0.353577 | − | 0.935405i | \(-0.384965\pi\) |
0.128327 | + | 0.991732i | \(0.459039\pi\) | |||||||
\(132\) | −1.15408 | − | 2.28495i | −0.100450 | − | 0.198880i | ||||
\(133\) | 1.55538 | − | 26.7049i | 0.134869 | − | 2.31561i | ||||
\(134\) | −4.24205 | − | 7.34745i | −0.366458 | − | 0.634723i | ||||
\(135\) | −1.46822 | − | 2.19941i | −0.126365 | − | 0.189295i | ||||
\(136\) | 1.87212 | − | 3.24261i | 0.160533 | − | 0.278052i | ||||
\(137\) | −2.49276 | − | 1.63952i | −0.212971 | − | 0.140073i | 0.438542 | − | 0.898711i | \(-0.355495\pi\) |
−0.651513 | + | 0.758637i | \(0.725865\pi\) | |||||||
\(138\) | 2.54186 | − | 1.90137i | 0.216378 | − | 0.161855i | ||||
\(139\) | −2.33438 | − | 5.41169i | −0.197999 | − | 0.459014i | 0.790072 | − | 0.613015i | \(-0.210043\pi\) |
−0.988071 | + | 0.154001i | \(0.950784\pi\) | |||||||
\(140\) | −0.762446 | + | 0.180703i | −0.0644385 | + | 0.0152722i | ||||
\(141\) | −0.934043 | + | 8.15243i | −0.0786606 | + | 0.686558i | ||||
\(142\) | −10.8360 | − | 14.5553i | −0.909337 | − | 1.22145i | ||||
\(143\) | 11.2005 | − | 4.07665i | 0.936633 | − | 0.340907i | ||||
\(144\) | 2.34603 | − | 13.6693i | 0.195503 | − | 1.13910i | ||||
\(145\) | 3.30719 | + | 1.20372i | 0.274647 | + | 0.0999633i | ||||
\(146\) | −6.89363 | − | 23.0263i | −0.570521 | − | 1.90567i | ||||
\(147\) | 13.3440 | − | 7.74479i | 1.10060 | − | 0.638780i | ||||
\(148\) | 0.0685356 | + | 1.17671i | 0.00563359 | + | 0.0967250i | ||||
\(149\) | −4.54998 | + | 2.99257i | −0.372748 | + | 0.245161i | −0.722037 | − | 0.691855i | \(-0.756794\pi\) |
0.349288 | + | 0.937015i | \(0.386423\pi\) | |||||||
\(150\) | −4.31111 | + | 11.9293i | −0.352001 | + | 0.974019i | ||||
\(151\) | −14.5098 | − | 3.43888i | −1.18079 | − | 0.279852i | −0.407079 | − | 0.913393i | \(-0.633453\pi\) |
−0.773709 | + | 0.633541i | \(0.781601\pi\) | |||||||
\(152\) | 2.90352 | + | 16.4667i | 0.235507 | + | 1.33563i | ||||
\(153\) | 3.10684 | + | 3.26312i | 0.251173 | + | 0.263807i | ||||
\(154\) | −4.09590 | + | 23.2290i | −0.330057 | + | 1.87185i | ||||
\(155\) | 0.00934354 | − | 0.0216608i | 0.000750491 | − | 0.00173983i | ||||
\(156\) | −1.99550 | − | 0.592458i | −0.159768 | − | 0.0474346i | ||||
\(157\) | −2.40470 | + | 8.03227i | −0.191916 | + | 0.641045i | 0.806821 | + | 0.590797i | \(0.201186\pi\) |
−0.998737 | + | 0.0502483i | \(0.983999\pi\) | |||||||
\(158\) | −12.9109 | + | 17.3423i | −1.02713 | + | 1.37968i | ||||
\(159\) | −22.5897 | + | 6.81909i | −1.79148 | + | 0.540789i | ||||
\(160\) | 0.980062 | − | 0.492206i | 0.0774807 | − | 0.0389123i | ||||
\(161\) | −4.73212 | −0.372944 | ||||||||
\(162\) | 12.4798 | + | 6.12568i | 0.980503 | + | 0.481279i | ||||
\(163\) | 3.04537 | 0.238531 | 0.119266 | − | 0.992862i | \(-0.461946\pi\) | ||||
0.119266 | + | 0.992862i | \(0.461946\pi\) | |||||||
\(164\) | −2.04956 | + | 1.02933i | −0.160044 | + | 0.0803770i | ||||
\(165\) | −2.46002 | − | 2.31033i | −0.191513 | − | 0.179859i | ||||
\(166\) | 0.648458 | − | 0.871030i | 0.0503301 | − | 0.0676050i | ||||
\(167\) | 6.05264 | − | 20.2172i | 0.468367 | − | 1.56445i | −0.318866 | − | 0.947800i | \(-0.603302\pi\) |
0.787233 | − | 0.616655i | \(-0.211513\pi\) | |||||||
\(168\) | −12.5003 | + | 11.8474i | −0.964418 | + | 0.914047i | ||||
\(169\) | −1.31008 | + | 3.03711i | −0.100776 | + | 0.233624i | ||||
\(170\) | −0.205018 | + | 1.16271i | −0.0157241 | + | 0.0891760i | ||||
\(171\) | −19.9951 | − | 2.24470i | −1.52906 | − | 0.171657i | ||||
\(172\) | 0.0159666 | + | 0.0905513i | 0.00121744 | + | 0.00690447i | ||||
\(173\) | 1.64906 | + | 0.390835i | 0.125376 | + | 0.0297146i | 0.292825 | − | 0.956166i | \(-0.405405\pi\) |
−0.167449 | + | 0.985881i | \(0.553553\pi\) | |||||||
\(174\) | −18.2136 | + | 3.25438i | −1.38077 | + | 0.246714i | ||||
\(175\) | 15.7984 | − | 10.3908i | 1.19425 | − | 0.785471i | ||||
\(176\) | −1.02914 | − | 17.6697i | −0.0775745 | − | 1.33190i | ||||
\(177\) | −0.00551679 | − | 2.41931i | −0.000414667 | − | 0.181846i | ||||
\(178\) | −5.12599 | − | 17.1220i | −0.384209 | − | 1.28335i | ||||
\(179\) | 11.3362 | + | 4.12604i | 0.847308 | + | 0.308395i | 0.728942 | − | 0.684575i | \(-0.240012\pi\) |
0.118366 | + | 0.992970i | \(0.462235\pi\) | |||||||
\(180\) | 0.104990 | + | 0.579950i | 0.00782551 | + | 0.0432269i | ||||
\(181\) | −7.09567 | + | 2.58261i | −0.527417 | + | 0.191964i | −0.591985 | − | 0.805949i | \(-0.701655\pi\) |
0.0645678 | + | 0.997913i | \(0.479433\pi\) | |||||||
\(182\) | 11.4537 | + | 15.3850i | 0.849007 | + | 1.14041i | ||||
\(183\) | 0.498872 | − | 0.216543i | 0.0368777 | − | 0.0160073i | ||||
\(184\) | 2.87818 | − | 0.682141i | 0.212182 | − | 0.0502881i | ||||
\(185\) | 0.615488 | + | 1.42686i | 0.0452516 | + | 0.104905i | ||||
\(186\) | 0.0146781 | + | 0.123144i | 0.00107625 | + | 0.00902933i | ||||
\(187\) | 4.80405 | + | 3.15967i | 0.351307 | + | 0.231058i | ||||
\(188\) | 0.914425 | − | 1.58383i | 0.0666913 | − | 0.115513i | ||||
\(189\) | −9.42766 | − | 18.4561i | −0.685762 | − | 1.34249i | ||||
\(190\) | −2.63622 | − | 4.56607i | −0.191251 | − | 0.331257i | ||||
\(191\) | 0.753015 | − | 12.9288i | 0.0544863 | − | 0.935493i | −0.854705 | − | 0.519114i | \(-0.826262\pi\) |
0.909191 | − | 0.416379i | \(-0.136701\pi\) | |||||||
\(192\) | 5.61245 | − | 8.57584i | 0.405043 | − | 0.618908i | ||||
\(193\) | −17.9568 | − | 2.09885i | −1.29256 | − | 0.151079i | −0.558125 | − | 0.829757i | \(-0.688479\pi\) |
−0.734435 | + | 0.678679i | \(0.762553\pi\) | |||||||
\(194\) | 13.7909 | + | 14.6175i | 0.990127 | + | 1.04947i | ||||
\(195\) | −2.73926 | + | 0.165812i | −0.196163 | + | 0.0118741i | ||||
\(196\) | −3.41540 | + | 0.399203i | −0.243957 | + | 0.0285145i | ||||
\(197\) | 7.47510 | + | 6.27235i | 0.532579 | + | 0.446886i | 0.868991 | − | 0.494828i | \(-0.164769\pi\) |
−0.336412 | + | 0.941715i | \(0.609214\pi\) | |||||||
\(198\) | 17.2820 | + | 4.01275i | 1.22818 | + | 0.285174i | ||||
\(199\) | −6.35460 | + | 5.33214i | −0.450465 | + | 0.377985i | −0.839609 | − | 0.543192i | \(-0.817216\pi\) |
0.389143 | + | 0.921177i | \(0.372771\pi\) | |||||||
\(200\) | −8.11111 | + | 8.59728i | −0.573542 | + | 0.607919i | ||||
\(201\) | 9.37246 | + | 1.63059i | 0.661083 | + | 0.115013i | ||||
\(202\) | −17.0670 | − | 8.57134i | −1.20083 | − | 0.603078i | ||||
\(203\) | 24.6481 | + | 12.3788i | 1.72996 | + | 0.868819i | ||||
\(204\) | −0.345600 | − | 0.942834i | −0.0241969 | − | 0.0660116i | ||||
\(205\) | −2.07497 | + | 2.19933i | −0.144922 | + | 0.153608i | ||||
\(206\) | −2.47325 | + | 2.07530i | −0.172320 | + | 0.144593i | ||||
\(207\) | −0.190751 | + | 3.55425i | −0.0132581 | + | 0.247038i | ||||
\(208\) | −11.0255 | − | 9.25146i | −0.764478 | − | 0.641473i | ||||
\(209\) | −25.5042 | + | 2.98101i | −1.76416 | + | 0.206201i | ||||
\(210\) | 2.42622 | − | 4.85859i | 0.167425 | − | 0.335274i | ||||
\(211\) | 7.78139 | + | 8.24779i | 0.535693 | + | 0.567802i | 0.937528 | − | 0.347911i | \(-0.113109\pi\) |
−0.401835 | + | 0.915712i | \(0.631627\pi\) | |||||||
\(212\) | 5.22349 | + | 0.610538i | 0.358751 | + | 0.0419319i | ||||
\(213\) | 20.3153 | + | 1.13676i | 1.39198 | + | 0.0778892i | ||||
\(214\) | 0.149338 | − | 2.56403i | 0.0102085 | − | 0.175274i | ||||
\(215\) | 0.0606102 | + | 0.104980i | 0.00413358 | + | 0.00715957i | ||||
\(216\) | 8.39458 | + | 9.86641i | 0.571179 | + | 0.671324i | ||||
\(217\) | 0.0924381 | − | 0.160108i | 0.00627511 | − | 0.0108688i | ||||
\(218\) | −5.54890 | − | 3.64957i | −0.375819 | − | 0.247180i | ||||
\(219\) | 24.7718 | + | 10.6186i | 1.67392 | + | 0.717537i | ||||
\(220\) | 0.297914 | + | 0.690643i | 0.0200854 | + | 0.0465631i | ||||
\(221\) | 4.54966 | − | 1.07829i | 0.306043 | − | 0.0725336i | ||||
\(222\) | −6.56387 | − | 4.86340i | −0.440538 | − | 0.326410i | ||||
\(223\) | 11.3015 | + | 15.1805i | 0.756803 | + | 1.01656i | 0.998927 | + | 0.0463177i | \(0.0147486\pi\) |
−0.242124 | + | 0.970245i | \(0.577844\pi\) | |||||||
\(224\) | 8.07667 | − | 2.93967i | 0.539646 | − | 0.196415i | ||||
\(225\) | −7.16760 | − | 12.2849i | −0.477840 | − | 0.818994i | ||||
\(226\) | 20.6617 | + | 7.52023i | 1.37439 | + | 0.500239i | ||||
\(227\) | 3.18314 | + | 10.6324i | 0.211272 | + | 0.705699i | 0.996277 | + | 0.0862092i | \(0.0274754\pi\) |
−0.785005 | + | 0.619490i | \(0.787339\pi\) | |||||||
\(228\) | 3.88869 | + | 2.23333i | 0.257535 | + | 0.147906i | ||||
\(229\) | −0.177059 | − | 3.03999i | −0.0117004 | − | 0.200888i | −0.999092 | − | 0.0425944i | \(-0.986438\pi\) |
0.987392 | − | 0.158294i | \(-0.0505994\pi\) | |||||||
\(230\) | −0.779259 | + | 0.512527i | −0.0513828 | + | 0.0337950i | ||||
\(231\) | −17.0470 | − | 20.2219i | −1.12161 | − | 1.33051i | ||||
\(232\) | −16.7760 | − | 3.97597i | −1.10140 | − | 0.261035i | ||||
\(233\) | −2.47370 | − | 14.0290i | −0.162057 | − | 0.919073i | −0.952047 | − | 0.305953i | \(-0.901025\pi\) |
0.789989 | − | 0.613121i | \(-0.210086\pi\) | |||||||
\(234\) | 12.0173 | − | 7.98262i | 0.785592 | − | 0.521840i | ||||
\(235\) | 0.418679 | − | 2.37444i | 0.0273116 | − | 0.154892i | ||||
\(236\) | −0.213567 | + | 0.495104i | −0.0139020 | + | 0.0322285i | ||||
\(237\) | −5.64463 | − | 23.5769i | −0.366658 | − | 1.53148i | ||||
\(238\) | −2.65373 | + | 8.86408i | −0.172016 | + | 0.574573i | ||||
\(239\) | −4.74520 | + | 6.37391i | −0.306942 | + | 0.412294i | −0.928651 | − | 0.370953i | \(-0.879031\pi\) |
0.621710 | + | 0.783248i | \(0.286438\pi\) | |||||||
\(240\) | −0.930743 | + | 3.96741i | −0.0600792 | + | 0.256095i | ||||
\(241\) | 3.23832 | − | 1.62634i | 0.208598 | − | 0.104762i | −0.341433 | − | 0.939906i | \(-0.610912\pi\) |
0.550031 | + | 0.835144i | \(0.314616\pi\) | |||||||
\(242\) | 5.65036 | 0.363219 | ||||||||
\(243\) | −14.2422 | + | 6.33706i | −0.913641 | + | 0.406523i | ||||
\(244\) | −0.121208 | −0.00775955 | ||||||||
\(245\) | −4.05116 | + | 2.03457i | −0.258819 | + | 0.129984i | ||||
\(246\) | 3.63052 | − | 15.4756i | 0.231474 | − | 0.986686i | ||||
\(247\) | −12.4689 | + | 16.7486i | −0.793374 | + | 1.06569i | ||||
\(248\) | −0.0331432 | + | 0.110706i | −0.00210459 | + | 0.00702984i | ||||
\(249\) | 0.283505 | + | 1.18416i | 0.0179664 | + | 0.0750433i | ||||
\(250\) | 3.03303 | − | 7.03134i | 0.191825 | − | 0.444701i | ||||
\(251\) | −0.441351 | + | 2.50303i | −0.0278578 | + | 0.157990i | −0.995563 | − | 0.0940939i | \(-0.970005\pi\) |
0.967706 | + | 0.252083i | \(0.0811157\pi\) | |||||||
\(252\) | 0.289596 | + | 4.60989i | 0.0182429 | + | 0.290396i | ||||
\(253\) | 0.788785 | + | 4.47342i | 0.0495905 | + | 0.281242i | ||||
\(254\) | 27.8134 | + | 6.59189i | 1.74517 | + | 0.413612i | ||||
\(255\) | −0.853274 | − | 1.01220i | −0.0534341 | − | 0.0633862i | ||||
\(256\) | −7.47072 | + | 4.91357i | −0.466920 | + | 0.307098i | ||||
\(257\) | 1.62804 | + | 27.9523i | 0.101554 | + | 1.74362i | 0.537160 | + | 0.843480i | \(0.319497\pi\) |
−0.435606 | + | 0.900138i | \(0.643466\pi\) | |||||||
\(258\) | −0.552615 | − | 0.317374i | −0.0344043 | − | 0.0197589i | ||||
\(259\) | 3.49280 | + | 11.6668i | 0.217032 | + | 0.724937i | ||||
\(260\) | 0.574742 | + | 0.209189i | 0.0356440 | + | 0.0129733i | ||||
\(261\) | 10.2911 | − | 18.0140i | 0.637005 | − | 1.11504i | ||||
\(262\) | 8.06059 | − | 2.93381i | 0.497985 | − | 0.181252i | ||||
\(263\) | −1.46939 | − | 1.97374i | −0.0906067 | − | 0.121706i | 0.754508 | − | 0.656291i | \(-0.227875\pi\) |
−0.845115 | + | 0.534585i | \(0.820468\pi\) | |||||||
\(264\) | 13.2833 | + | 9.84209i | 0.817534 | + | 0.605739i | ||||
\(265\) | 6.74641 | − | 1.59893i | 0.414428 | − | 0.0982213i | ||||
\(266\) | −16.3662 | − | 37.9410i | −1.00347 | − | 2.32631i | ||||
\(267\) | 18.4199 | + | 7.89580i | 1.12728 | + | 0.483215i | ||||
\(268\) | −1.77145 | − | 1.16510i | −0.108208 | − | 0.0711697i | ||||
\(269\) | −5.65271 | + | 9.79078i | −0.344652 | + | 0.596954i | −0.985290 | − | 0.170888i | \(-0.945336\pi\) |
0.640639 | + | 0.767842i | \(0.278670\pi\) | |||||||
\(270\) | −3.55144 | − | 2.01816i | −0.216134 | − | 0.122821i | ||||
\(271\) | 2.14084 | + | 3.70804i | 0.130047 | + | 0.225248i | 0.923694 | − | 0.383130i | \(-0.125154\pi\) |
−0.793648 | + | 0.608378i | \(0.791821\pi\) | |||||||
\(272\) | 0.403710 | − | 6.93143i | 0.0244785 | − | 0.420280i | ||||
\(273\) | −21.4734 | − | 1.20156i | −1.29963 | − | 0.0727217i | ||||
\(274\) | −4.57754 | − | 0.535038i | −0.276540 | − | 0.0323228i | ||||
\(275\) | −12.4561 | − | 13.2027i | −0.751134 | − | 0.796155i | ||||
\(276\) | 0.354410 | − | 0.709720i | 0.0213330 | − | 0.0427201i | ||||
\(277\) | −18.6953 | + | 2.18516i | −1.12329 | + | 0.131294i | −0.657395 | − | 0.753546i | \(-0.728342\pi\) |
−0.465895 | + | 0.884840i | \(0.654268\pi\) | |||||||
\(278\) | −6.97397 | − | 5.85185i | −0.418271 | − | 0.350971i | ||||
\(279\) | −0.116529 | − | 0.0758833i | −0.00697641 | − | 0.00454302i | ||||
\(280\) | 3.87654 | − | 3.25280i | 0.231668 | − | 0.194392i | ||||
\(281\) | 9.33535 | − | 9.89489i | 0.556900 | − | 0.590280i | −0.386354 | − | 0.922350i | \(-0.626266\pi\) |
0.943254 | + | 0.332071i | \(0.107747\pi\) | |||||||
\(282\) | 4.36234 | + | 11.9009i | 0.259774 | + | 0.708690i | ||||
\(283\) | 14.9150 | + | 7.49059i | 0.886605 | + | 0.445270i | 0.832987 | − | 0.553292i | \(-0.186629\pi\) |
0.0536172 | + | 0.998562i | \(0.482925\pi\) | |||||||
\(284\) | −4.05248 | − | 2.03523i | −0.240470 | − | 0.120769i | ||||
\(285\) | 5.82451 | + | 1.01333i | 0.345014 | + | 0.0600244i | ||||
\(286\) | 12.6348 | − | 13.3921i | 0.747109 | − | 0.791889i | ||||
\(287\) | −18.1527 | + | 15.2319i | −1.07152 | + | 0.899110i | ||||
\(288\) | −1.88239 | − | 6.18481i | −0.110921 | − | 0.364443i | ||||
\(289\) | −11.2949 | − | 9.47752i | −0.664404 | − | 0.557501i | ||||
\(290\) | 5.39963 | − | 0.631127i | 0.317077 | − | 0.0370610i | ||||
\(291\) | −22.4928 | + | 1.36153i | −1.31855 | + | 0.0798141i | ||||
\(292\) | −4.12214 | − | 4.36921i | −0.241230 | − | 0.255689i | ||||
\(293\) | 25.2376 | + | 2.94986i | 1.47440 | + | 0.172333i | 0.815000 | − | 0.579461i | \(-0.196737\pi\) |
0.659399 | + | 0.751793i | \(0.270811\pi\) | |||||||
\(294\) | 13.0507 | − | 19.9414i | 0.761129 | − | 1.16301i | ||||
\(295\) | −0.0413328 | + | 0.709657i | −0.00240649 | + | 0.0413178i | ||||
\(296\) | −3.80617 | − | 6.59249i | −0.221229 | − | 0.383181i | ||||
\(297\) | −15.8757 | + | 11.9887i | −0.921200 | + | 0.695653i | ||||
\(298\) | −4.20607 | + | 7.28513i | −0.243651 | + | 0.422016i | ||||
\(299\) | 3.08608 | + | 2.02975i | 0.178473 | + | 0.117383i | ||||
\(300\) | 0.375185 | + | 3.14765i | 0.0216613 | + | 0.181730i | ||||
\(301\) | 0.376279 | + | 0.872314i | 0.0216884 | + | 0.0502793i | ||||
\(302\) | −22.4129 | + | 5.31196i | −1.28972 | + | 0.305669i | ||||
\(303\) | 19.6443 | − | 8.52690i | 1.12853 | − | 0.489857i | ||||
\(304\) | 18.5156 | + | 24.8708i | 1.06195 | + | 1.42644i | ||||
\(305\) | −0.150158 | + | 0.0546532i | −0.00859805 | + | 0.00312943i | ||||
\(306\) | 6.55076 | + | 2.35050i | 0.374482 | + | 0.134369i | ||||
\(307\) | −9.43080 | − | 3.43253i | −0.538244 | − | 0.195905i | 0.0585714 | − | 0.998283i | \(-0.481345\pi\) |
−0.596816 | + | 0.802378i | \(0.703568\pi\) | |||||||
\(308\) | 1.69062 | + | 5.64705i | 0.0963318 | + | 0.321771i | ||||
\(309\) | −0.00825527 | − | 3.62023i | −0.000469626 | − | 0.205948i | ||||
\(310\) | −0.00211874 | − | 0.0363774i | −0.000120336 | − | 0.00206610i | ||||
\(311\) | −22.5173 | + | 14.8099i | −1.27684 | + | 0.839791i | −0.992888 | − | 0.119048i | \(-0.962016\pi\) |
−0.283951 | + | 0.958839i | \(0.591645\pi\) | |||||||
\(312\) | 13.2338 | − | 2.36461i | 0.749217 | − | 0.133869i | ||||
\(313\) | 12.6801 | + | 3.00523i | 0.716720 | + | 0.169866i | 0.572767 | − | 0.819719i | \(-0.305870\pi\) |
0.143954 | + | 0.989584i | \(0.454018\pi\) | |||||||
\(314\) | 2.24898 | + | 12.7546i | 0.126917 | + | 0.719784i | ||||
\(315\) | 2.43738 | + | 5.58037i | 0.137331 | + | 0.314418i | ||||
\(316\) | −0.938250 | + | 5.32108i | −0.0527807 | + | 0.299334i | ||||
\(317\) | 3.76028 | − | 8.71730i | 0.211198 | − | 0.489612i | −0.779382 | − | 0.626550i | \(-0.784467\pi\) |
0.990580 | + | 0.136937i | \(0.0437258\pi\) | |||||||
\(318\) | −26.4549 | + | 25.0732i | −1.48352 | + | 1.40604i | ||||
\(319\) | 7.59349 | − | 25.3640i | 0.425154 | − | 1.42011i | ||||
\(320\) | −1.79832 | + | 2.41557i | −0.100529 | + | 0.135034i | ||||
\(321\) | 2.09928 | + | 1.97154i | 0.117171 | + | 0.110041i | ||||
\(322\) | −6.53210 | + | 3.28055i | −0.364020 | + | 0.182818i | ||||
\(323\) | −10.0729 | −0.560468 | ||||||||
\(324\) | 3.47412 | − | 0.0316892i | 0.193006 | − | 0.00176051i | ||||
\(325\) | −14.7599 | −0.818735 | ||||||||
\(326\) | 4.20374 | − | 2.11120i | 0.232824 | − | 0.116929i | ||||
\(327\) | 7.12940 | − | 2.15213i | 0.394257 | − | 0.119013i | ||||
\(328\) | 8.84514 | − | 11.8811i | 0.488391 | − | 0.656024i | ||||
\(329\) | 5.41934 | − | 18.1019i | 0.298778 | − | 0.997988i | ||||
\(330\) | −4.99739 | − | 1.48371i | −0.275097 | − | 0.0816757i | ||||
\(331\) | −9.31346 | + | 21.5910i | −0.511914 | + | 1.18675i | 0.444776 | + | 0.895642i | \(0.353283\pi\) |
−0.956690 | + | 0.291108i | \(0.905976\pi\) | |||||||
\(332\) | 0.0471242 | − | 0.267255i | 0.00258628 | − | 0.0146675i | ||||
\(333\) | 8.90359 | − | 2.15312i | 0.487914 | − | 0.117990i | ||||
\(334\) | −5.66068 | − | 32.1033i | −0.309739 | − | 1.75661i | ||||
\(335\) | −2.71990 | − | 0.644629i | −0.148604 | − | 0.0352198i | ||||
\(336\) | −10.8546 | + | 30.0357i | −0.592167 | + | 1.63858i | ||||
\(337\) | 2.59680 | − | 1.70794i | 0.141457 | − | 0.0930376i | −0.476808 | − | 0.879007i | \(-0.658206\pi\) |
0.618265 | + | 0.785970i | \(0.287836\pi\) | |||||||
\(338\) | 0.297074 | + | 5.10057i | 0.0161587 | + | 0.277434i | ||||
\(339\) | −21.3236 | + | 12.3761i | −1.15814 | + | 0.672177i | ||||
\(340\) | 0.0846227 | + | 0.282659i | 0.00458931 | + | 0.0153294i | ||||
\(341\) | −0.166763 | − | 0.0606967i | −0.00903071 | − | 0.00328691i | ||||
\(342\) | −29.1568 | + | 10.7631i | −1.57662 | + | 0.582000i | ||||
\(343\) | −7.15012 | + | 2.60243i | −0.386070 | + | 0.140518i | ||||
\(344\) | −0.354606 | − | 0.476319i | −0.0191191 | − | 0.0256814i | ||||
\(345\) | 0.119045 | − | 1.03904i | 0.00640919 | − | 0.0559401i | ||||
\(346\) | 2.54727 | − | 0.603714i | 0.136942 | − | 0.0324559i | ||||
\(347\) | −8.83048 | − | 20.4714i | −0.474045 | − | 1.09896i | −0.972680 | − | 0.232148i | \(-0.925425\pi\) |
0.498636 | − | 0.866812i | \(-0.333835\pi\) | |||||||
\(348\) | −3.70257 | + | 2.76961i | −0.198479 | + | 0.148466i | ||||
\(349\) | −2.51713 | − | 1.65554i | −0.134739 | − | 0.0886192i | 0.480350 | − | 0.877077i | \(-0.340510\pi\) |
−0.615089 | + | 0.788458i | \(0.710880\pi\) | |||||||
\(350\) | 14.6043 | − | 25.2955i | 0.780635 | − | 1.35210i | ||||
\(351\) | −1.76807 | + | 16.0801i | −0.0943726 | + | 0.858290i | ||||
\(352\) | −4.12524 | − | 7.14512i | −0.219876 | − | 0.380836i | ||||
\(353\) | −0.125841 | + | 2.16060i | −0.00669783 | + | 0.114997i | −1.00000 | 0.000549684i | \(-0.999825\pi\) | |
0.993302 | + | 0.115547i | \(0.0368621\pi\) | |||||||
\(354\) | −1.68480 | − | 3.33573i | −0.0895462 | − | 0.177292i | ||||
\(355\) | −5.93810 | − | 0.694064i | −0.315161 | − | 0.0368371i | ||||
\(356\) | −3.06516 | − | 3.24888i | −0.162453 | − | 0.172190i | ||||
\(357\) | −5.72101 | − | 8.65532i | −0.302788 | − | 0.458088i | ||||
\(358\) | 18.5086 | − | 2.16334i | 0.978209 | − | 0.114336i | ||||
\(359\) | −0.496794 | − | 0.416860i | −0.0262198 | − | 0.0220010i | 0.629584 | − | 0.776933i | \(-0.283226\pi\) |
−0.655803 | + | 0.754932i | \(0.727670\pi\) | |||||||
\(360\) | −2.28689 | − | 3.04275i | −0.120529 | − | 0.160367i | ||||
\(361\) | 19.9037 | − | 16.7012i | 1.04756 | − | 0.879011i | ||||
\(362\) | −8.00428 | + | 8.48404i | −0.420696 | + | 0.445911i | ||||
\(363\) | −4.06147 | + | 4.86275i | −0.213172 | + | 0.255228i | ||||
\(364\) | 4.28350 | + | 2.15125i | 0.224516 | + | 0.112756i | ||||
\(365\) | −7.07680 | − | 3.55410i | −0.370417 | − | 0.186030i | ||||
\(366\) | 0.538511 | − | 0.644753i | 0.0281484 | − | 0.0337018i | ||||
\(367\) | 6.49821 | − | 6.88770i | 0.339204 | − | 0.359535i | −0.535207 | − | 0.844721i | \(-0.679767\pi\) |
0.874411 | + | 0.485186i | \(0.161248\pi\) | |||||||
\(368\) | 4.20178 | − | 3.52571i | 0.219033 | − | 0.183790i | ||||
\(369\) | 10.7088 | + | 14.2483i | 0.557477 | + | 0.741736i | ||||
\(370\) | 1.83878 | + | 1.54292i | 0.0955935 | + | 0.0802124i | ||||
\(371\) | 53.9691 | − | 6.30809i | 2.80194 | − | 0.327499i | ||||
\(372\) | 0.0170897 | + | 0.0258550i | 0.000886059 | + | 0.00134052i | ||||
\(373\) | 3.35002 | + | 3.55082i | 0.173458 | + | 0.183854i | 0.808270 | − | 0.588812i | \(-0.200404\pi\) |
−0.634813 | + | 0.772666i | \(0.718923\pi\) | |||||||
\(374\) | 8.82183 | + | 1.03112i | 0.456166 | + | 0.0533182i | ||||
\(375\) | 3.87110 | + | 7.66437i | 0.199903 | + | 0.395786i | ||||
\(376\) | −0.686757 | + | 11.7912i | −0.0354168 | + | 0.608083i | ||||
\(377\) | −10.7648 | − | 18.6452i | −0.554415 | − | 0.960275i | ||||
\(378\) | −25.8084 | − | 18.9406i | −1.32744 | − | 0.974201i | ||||
\(379\) | 13.0190 | − | 22.5495i | 0.668739 | − | 1.15829i | −0.309518 | − | 0.950894i | \(-0.600168\pi\) |
0.978257 | − | 0.207396i | \(-0.0664989\pi\) | |||||||
\(380\) | −1.10086 | − | 0.724050i | −0.0564731 | − | 0.0371430i | ||||
\(381\) | −25.6652 | + | 19.1982i | −1.31487 | + | 0.983553i | ||||
\(382\) | −7.92343 | − | 18.3686i | −0.405398 | − | 0.939818i | ||||
\(383\) | −7.81450 | + | 1.85207i | −0.399302 | + | 0.0946364i | −0.425360 | − | 0.905024i | \(-0.639853\pi\) |
0.0260580 | + | 0.999660i | \(0.491705\pi\) | |||||||
\(384\) | 2.65180 | − | 23.1452i | 0.135324 | − | 1.18113i | ||||
\(385\) | 4.64070 | + | 6.23354i | 0.236512 | + | 0.317690i | ||||
\(386\) | −26.2422 | + | 9.55136i | −1.33569 | + | 0.486152i | ||||
\(387\) | 0.670354 | − | 0.247457i | 0.0340760 | − | 0.0125789i | ||||
\(388\) | 4.71935 | + | 1.71770i | 0.239589 | + | 0.0872032i | ||||
\(389\) | 6.52364 | + | 21.7905i | 0.330762 | + | 1.10482i | 0.948060 | + | 0.318092i | \(0.103042\pi\) |
−0.617298 | + | 0.786729i | \(0.711773\pi\) | |||||||
\(390\) | −3.66626 | + | 2.12788i | −0.185648 | + | 0.107749i | ||||
\(391\) | 0.103608 | + | 1.77888i | 0.00523968 | + | 0.0899619i | ||||
\(392\) | 18.5542 | − | 12.2033i | 0.937128 | − | 0.616359i | ||||
\(393\) | −3.26907 | + | 9.04583i | −0.164903 | + | 0.456302i | ||||
\(394\) | 14.6667 | + | 3.47608i | 0.738900 | + | 0.175122i | ||||
\(395\) | 1.23695 | + | 7.01507i | 0.0622375 | + | 0.352967i | ||||
\(396\) | 4.30959 | − | 1.04217i | 0.216565 | − | 0.0523712i | ||||
\(397\) | 4.29294 | − | 24.3465i | 0.215456 | − | 1.22191i | −0.664656 | − | 0.747149i | \(-0.731422\pi\) |
0.880113 | − | 0.474765i | \(-0.157467\pi\) | |||||||
\(398\) | −5.07522 | + | 11.7657i | −0.254398 | + | 0.589760i | ||||
\(399\) | 44.4163 | + | 13.1871i | 2.22360 | + | 0.660180i | ||||
\(400\) | −6.28610 | + | 20.9970i | −0.314305 | + | 1.04985i | ||||
\(401\) | −10.1376 | + | 13.6172i | −0.506249 | + | 0.680010i | −0.979622 | − | 0.200852i | \(-0.935629\pi\) |
0.473373 | + | 0.880862i | \(0.343036\pi\) | |||||||
\(402\) | 14.0679 | − | 4.24664i | 0.701644 | − | 0.211803i | ||||
\(403\) | −0.128959 | + | 0.0647655i | −0.00642389 | + | 0.00322620i | ||||
\(404\) | −4.77286 | −0.237459 | ||||||||
\(405\) | 4.28961 | − | 1.60575i | 0.213153 | − | 0.0797904i | ||||
\(406\) | 42.6052 | 2.11446 | ||||||||
\(407\) | 10.4467 | − | 5.24655i | 0.517826 | − | 0.260062i | ||||
\(408\) | 4.72732 | + | 4.43966i | 0.234037 | + | 0.219796i | ||||
\(409\) | 6.74707 | − | 9.06289i | 0.333621 | − | 0.448131i | −0.603382 | − | 0.797453i | \(-0.706180\pi\) |
0.937003 | + | 0.349321i | \(0.113588\pi\) | |||||||
\(410\) | −1.33954 | + | 4.47438i | −0.0661552 | + | 0.220974i | ||||
\(411\) | 3.75079 | − | 3.55489i | 0.185013 | − | 0.175350i | ||||
\(412\) | −0.319580 | + | 0.740869i | −0.0157446 | + | 0.0365000i | ||||
\(413\) | −0.967401 | + | 5.48640i | −0.0476027 | + | 0.269968i | ||||
\(414\) | 2.20068 | + | 5.03844i | 0.108157 | + | 0.247626i | ||||
\(415\) | −0.0621265 | − | 0.352337i | −0.00304967 | − | 0.0172955i | ||||
\(416\) | −6.52815 | − | 1.54720i | −0.320069 | − | 0.0758578i | ||||
\(417\) | 10.0490 | − | 1.79555i | 0.492103 | − | 0.0879286i | ||||
\(418\) | −33.1388 | + | 21.7957i | −1.62087 | + | 1.06606i | ||||
\(419\) | −1.88570 | − | 32.3762i | −0.0921223 | − | 1.58168i | −0.655316 | − | 0.755355i | \(-0.727465\pi\) |
0.563194 | − | 0.826325i | \(-0.309572\pi\) | |||||||
\(420\) | −0.00309479 | − | 1.35718i | −0.000151010 | − | 0.0662234i | ||||
\(421\) | 0.190554 | + | 0.636493i | 0.00928701 | + | 0.0310208i | 0.962507 | − | 0.271255i | \(-0.0874388\pi\) |
−0.953220 | + | 0.302276i | \(0.902254\pi\) | |||||||
\(422\) | 16.4590 | + | 5.99059i | 0.801212 | + | 0.291617i | ||||
\(423\) | −13.3777 | − | 4.80010i | −0.650446 | − | 0.233389i | ||||
\(424\) | −31.9159 | + | 11.6164i | −1.54997 | + | 0.564144i | ||||
\(425\) | −4.25197 | − | 5.71139i | −0.206251 | − | 0.277043i | ||||
\(426\) | 28.8308 | − | 12.5144i | 1.39686 | − | 0.606327i | ||||
\(427\) | −1.21857 | + | 0.288806i | −0.0589706 | + | 0.0139763i | ||||
\(428\) | −0.254228 | − | 0.589367i | −0.0122886 | − | 0.0284881i | ||||
\(429\) | 2.44348 | + | 20.4998i | 0.117972 | + | 0.989738i | ||||
\(430\) | 0.156442 | + | 0.102894i | 0.00754430 | + | 0.00496197i | ||||
\(431\) | −15.1861 | + | 26.3031i | −0.731488 | + | 1.26698i | 0.224759 | + | 0.974414i | \(0.427841\pi\) |
−0.956247 | + | 0.292561i | \(0.905493\pi\) | |||||||
\(432\) | 22.1220 | + | 9.36352i | 1.06434 | + | 0.450503i | ||||
\(433\) | 5.68299 | + | 9.84323i | 0.273107 | + | 0.473035i | 0.969656 | − | 0.244474i | \(-0.0786153\pi\) |
−0.696549 | + | 0.717510i | \(0.745282\pi\) | |||||||
\(434\) | 0.0166047 | − | 0.285091i | 0.000797049 | − | 0.0136848i | ||||
\(435\) | −3.33810 | + | 5.10062i | −0.160049 | + | 0.244556i | ||||
\(436\) | −1.64855 | − | 0.192688i | −0.0789513 | − | 0.00922808i | ||||
\(437\) | −5.46073 | − | 5.78803i | −0.261222 | − | 0.276879i | ||||
\(438\) | 41.5557 | − | 2.51544i | 1.98561 | − | 0.120192i | ||||
\(439\) | 7.12292 | − | 0.832550i | 0.339958 | − | 0.0397354i | 0.0555990 | − | 0.998453i | \(-0.482293\pi\) |
0.284359 | + | 0.958718i | \(0.408219\pi\) | |||||||
\(440\) | −3.72114 | − | 3.12241i | −0.177399 | − | 0.148855i | ||||
\(441\) | 7.78100 | + | 25.5654i | 0.370524 | + | 1.21740i | ||||
\(442\) | 5.53271 | − | 4.64249i | 0.263164 | − | 0.220821i | ||||
\(443\) | 1.19860 | − | 1.27044i | 0.0569470 | − | 0.0603603i | −0.698274 | − | 0.715831i | \(-0.746048\pi\) |
0.755221 | + | 0.655471i | \(0.227530\pi\) | |||||||
\(444\) | −2.01136 | − | 0.349930i | −0.0954551 | − | 0.0166070i | ||||
\(445\) | −5.26220 | − | 2.64277i | −0.249452 | − | 0.125280i | ||||
\(446\) | 26.1242 | + | 13.1201i | 1.23702 | + | 0.621253i | ||||
\(447\) | −3.24633 | − | 8.85633i | −0.153546 | − | 0.418890i | ||||
\(448\) | −16.1960 | + | 17.1668i | −0.765189 | + | 0.811053i | ||||
\(449\) | 25.6694 | − | 21.5392i | 1.21142 | − | 1.01650i | 0.212187 | − | 0.977229i | \(-0.431941\pi\) |
0.999229 | − | 0.0392691i | \(-0.0125030\pi\) | |||||||
\(450\) | −18.4105 | − | 11.9888i | −0.867878 | − | 0.565159i | ||||
\(451\) | 17.4250 | + | 14.6213i | 0.820510 | + | 0.688490i | ||||
\(452\) | 5.45777 | − | 0.637922i | 0.256712 | − | 0.0300053i | ||||
\(453\) | 11.5389 | − | 23.1070i | 0.542142 | − | 1.08566i | ||||
\(454\) | 11.7649 | + | 12.4700i | 0.552152 | + | 0.585247i | ||||
\(455\) | 6.27661 | + | 0.733631i | 0.294252 | + | 0.0343931i | ||||
\(456\) | −28.9159 | − | 1.61801i | −1.35411 | − | 0.0757702i | ||||
\(457\) | −0.664425 | + | 11.4077i | −0.0310805 | + | 0.533631i | 0.946452 | + | 0.322845i | \(0.104639\pi\) |
−0.977532 | + | 0.210786i | \(0.932398\pi\) | |||||||
\(458\) | −2.35188 | − | 4.07358i | −0.109896 | − | 0.190346i | ||||
\(459\) | −6.73154 | + | 3.94810i | −0.314201 | + | 0.184282i | ||||
\(460\) | −0.116545 | + | 0.201862i | −0.00543394 | + | 0.00941186i | ||||
\(461\) | −13.9090 | − | 9.14809i | −0.647806 | − | 0.426069i | 0.182631 | − | 0.983182i | \(-0.441539\pi\) |
−0.830437 | + | 0.557113i | \(0.811909\pi\) | |||||||
\(462\) | −37.5500 | − | 16.0960i | −1.74699 | − | 0.748856i | ||||
\(463\) | −1.81262 | − | 4.20212i | −0.0842396 | − | 0.195289i | 0.870890 | − | 0.491478i | \(-0.163543\pi\) |
−0.955129 | + | 0.296189i | \(0.904284\pi\) | |||||||
\(464\) | −31.1087 | + | 7.37289i | −1.44418 | + | 0.342278i | ||||
\(465\) | 0.0328296 | + | 0.0243246i | 0.00152244 | + | 0.00112803i | ||||
\(466\) | −13.1403 | − | 17.6504i | −0.608711 | − | 0.817641i | ||||
\(467\) | −31.8531 | + | 11.5936i | −1.47398 | + | 0.536486i | −0.949179 | − | 0.314736i | \(-0.898084\pi\) |
−0.524805 | + | 0.851222i | \(0.675862\pi\) | |||||||
\(468\) | 1.78845 | − | 3.13058i | 0.0826713 | − | 0.144711i | ||||
\(469\) | −20.5854 | − | 7.49246i | −0.950544 | − | 0.345970i | ||||
\(470\) | −1.06815 | − | 3.56787i | −0.0492701 | − | 0.164574i | ||||
\(471\) | −12.5933 | − | 7.23250i | −0.580268 | − | 0.333256i | ||||
\(472\) | −0.202477 | − | 3.47640i | −0.00931978 | − | 0.160014i | ||||
\(473\) | 0.761904 | − | 0.501112i | 0.0350324 | − | 0.0230412i | ||||
\(474\) | −24.1364 | − | 28.6318i | −1.10862 | − | 1.31510i | ||||
\(475\) | 30.9403 | + | 7.33298i | 1.41964 | + | 0.336460i | ||||
\(476\) | 0.401537 | + | 2.27723i | 0.0184044 | + | 0.104377i | ||||
\(477\) | −2.56245 | − | 40.7900i | −0.117327 | − | 1.86764i | ||||
\(478\) | −2.13144 | + | 12.0880i | −0.0974898 | + | 0.552892i | ||||
\(479\) | 3.43926 | − | 7.97309i | 0.157144 | − | 0.364300i | −0.821396 | − | 0.570358i | \(-0.806804\pi\) |
0.978540 | + | 0.206058i | \(0.0660637\pi\) | |||||||
\(480\) | 0.442285 | + | 1.84736i | 0.0201874 | + | 0.0843202i | ||||
\(481\) | 2.72637 | − | 9.10670i | 0.124312 | − | 0.415230i | ||||
\(482\) | 3.34262 | − | 4.48992i | 0.152252 | − | 0.204510i | ||||
\(483\) | 1.87200 | − | 7.97964i | 0.0851790 | − | 0.363086i | ||||
\(484\) | 1.26188 | − | 0.633739i | 0.0573581 | − | 0.0288063i | ||||
\(485\) | 6.62108 | 0.300648 | ||||||||
\(486\) | −15.2665 | + | 18.6210i | −0.692501 | + | 0.844664i | ||||
\(487\) | −21.3432 | −0.967154 | −0.483577 | − | 0.875302i | \(-0.660663\pi\) | ||||
−0.483577 | + | 0.875302i | \(0.660663\pi\) | |||||||
\(488\) | 0.699527 | − | 0.351316i | 0.0316661 | − | 0.0159033i | ||||
\(489\) | −1.20473 | + | 5.13531i | −0.0544797 | + | 0.232227i | ||||
\(490\) | −4.18165 | + | 5.61694i | −0.188908 | + | 0.253747i | ||||
\(491\) | −1.20892 | + | 4.03808i | −0.0545579 | + | 0.182236i | −0.980925 | − | 0.194385i | \(-0.937729\pi\) |
0.926367 | + | 0.376621i | \(0.122914\pi\) | |||||||
\(492\) | −0.924930 | − | 3.86331i | −0.0416990 | − | 0.174171i | ||||
\(493\) | 4.11371 | − | 9.53666i | 0.185272 | − | 0.429510i | ||||
\(494\) | −5.60073 | + | 31.7633i | −0.251989 | + | 1.42910i | ||||
\(495\) | 4.86901 | − | 3.23431i | 0.218846 | − | 0.145371i | ||||
\(496\) | 0.0372113 | + | 0.211036i | 0.00167084 | + | 0.00947578i | ||||
\(497\) | −45.5910 | − | 10.8053i | −2.04504 | − | 0.484682i | ||||
\(498\) | 1.21227 | + | 1.43805i | 0.0543229 | + | 0.0644405i | ||||
\(499\) | −25.4197 | + | 16.7188i | −1.13794 | + | 0.748435i | −0.971365 | − | 0.237594i | \(-0.923641\pi\) |
−0.166575 | + | 0.986029i | \(0.553271\pi\) | |||||||
\(500\) | −0.111272 | − | 1.91047i | −0.00497624 | − | 0.0854388i | ||||
\(501\) | 31.6973 | + | 18.2042i | 1.41613 | + | 0.813303i | ||||
\(502\) | 1.12599 | + | 3.76108i | 0.0502555 | + | 0.167865i | ||||
\(503\) | −11.9111 | − | 4.33528i | −0.531089 | − | 0.193301i | 0.0625356 | − | 0.998043i | \(-0.480081\pi\) |
−0.593624 | + | 0.804742i | \(0.702304\pi\) | |||||||
\(504\) | −15.0329 | − | 25.7656i | −0.669617 | − | 1.14769i | ||||
\(505\) | −5.91285 | + | 2.15210i | −0.263118 | + | 0.0957673i | ||||
\(506\) | 4.19002 | + | 5.62817i | 0.186269 | + | 0.250203i | ||||
\(507\) | −4.60313 | − | 3.41062i | −0.204432 | − | 0.151471i | ||||
\(508\) | 6.95081 | − | 1.64737i | 0.308392 | − | 0.0730903i | ||||
\(509\) | −1.39112 | − | 3.22498i | −0.0616604 | − | 0.142945i | 0.884600 | − | 0.466350i | \(-0.154431\pi\) |
−0.946260 | + | 0.323406i | \(0.895172\pi\) | |||||||
\(510\) | −1.87954 | − | 0.805677i | −0.0832276 | − | 0.0356760i | ||||
\(511\) | −51.8526 | − | 34.1040i | −2.29382 | − | 1.50867i | ||||
\(512\) | 6.54427 | − | 11.3350i | 0.289219 | − | 0.500941i | ||||
\(513\) | 11.6951 | − | 32.8291i | 0.516352 | − | 1.44944i | ||||
\(514\) | 21.6252 | + | 37.4560i | 0.953849 | + | 1.65211i | ||||
\(515\) | −0.0618500 | + | 1.06192i | −0.00272544 | + | 0.0467940i | ||||
\(516\) | −0.159010 | − | 0.00889751i | −0.00700003 | − | 0.000391691i | ||||
\(517\) | −18.0156 | − | 2.10572i | −0.792325 | − | 0.0926095i | ||||
\(518\) | 12.9094 | + | 13.6831i | 0.567204 | + | 0.601202i | ||||
\(519\) | −1.31141 | + | 2.62615i | −0.0575646 | + | 0.115275i | ||||
\(520\) | −3.92333 | + | 0.458571i | −0.172049 | + | 0.0201097i | ||||
\(521\) | 6.50992 | + | 5.46247i | 0.285205 | + | 0.239315i | 0.774154 | − | 0.632997i | \(-0.218175\pi\) |
−0.488950 | + | 0.872312i | \(0.662620\pi\) | |||||||
\(522\) | 1.71741 | − | 32.0004i | 0.0751691 | − | 1.40062i | ||||
\(523\) | −9.72249 | + | 8.15814i | −0.425135 | + | 0.356730i | −0.830112 | − | 0.557596i | \(-0.811724\pi\) |
0.404978 | + | 0.914327i | \(0.367279\pi\) | |||||||
\(524\) | 1.47109 | − | 1.55927i | 0.0642649 | − | 0.0681169i | ||||
\(525\) | 11.2719 | + | 30.7510i | 0.491947 | + | 1.34208i | ||||
\(526\) | −3.39661 | − | 1.70584i | −0.148099 | − | 0.0743782i | ||||
\(527\) | −0.0622109 | − | 0.0312435i | −0.00270995 | − | 0.00136099i | ||||
\(528\) | 30.2030 | + | 5.25462i | 1.31442 | + | 0.228678i | ||||
\(529\) | 14.8176 | − | 15.7057i | 0.644241 | − | 0.682856i | ||||
\(530\) | 8.20411 | − | 6.88406i | 0.356364 | − | 0.299025i | ||||
\(531\) | 4.08179 | + | 0.947762i | 0.177135 | + | 0.0411294i | ||||
\(532\) | −7.91043 | − | 6.63763i | −0.342960 | − | 0.287778i | ||||
\(533\) | 18.3717 | − | 2.14735i | 0.795768 | − | 0.0930120i | ||||
\(534\) | 30.9001 | − | 1.87044i | 1.33718 | − | 0.0809417i | ||||
\(535\) | −0.580698 | − | 0.615504i | −0.0251058 | − | 0.0266105i | ||||
\(536\) | 13.6005 | + | 1.58967i | 0.587453 | + | 0.0686634i | ||||
\(537\) | −11.4422 | + | 17.4837i | −0.493766 | + | 0.754476i | ||||
\(538\) | −1.01540 | + | 17.4337i | −0.0437768 | + | 0.751619i | ||||
\(539\) | 17.0520 | + | 29.5349i | 0.734481 | + | 1.27216i | ||||
\(540\) | −1.01949 | − | 0.0523831i | −0.0438717 | − | 0.00225421i | ||||
\(541\) | −6.14520 | + | 10.6438i | −0.264203 | + | 0.457612i | −0.967354 | − | 0.253427i | \(-0.918442\pi\) |
0.703152 | + | 0.711040i | \(0.251775\pi\) | |||||||
\(542\) | 5.52576 | + | 3.63435i | 0.237352 | + | 0.156109i | ||||
\(543\) | −1.54797 | − | 12.9869i | −0.0664300 | − | 0.557320i | ||||
\(544\) | −1.28190 | − | 2.97179i | −0.0549612 | − | 0.127414i | ||||
\(545\) | −2.12919 | + | 0.504627i | −0.0912045 | + | 0.0216159i | ||||
\(546\) | −30.4744 | + | 13.2279i | −1.30418 | + | 0.566100i | ||||
\(547\) | −16.0599 | − | 21.5722i | −0.686673 | − | 0.922362i | 0.312951 | − | 0.949769i | \(-0.398682\pi\) |
−0.999624 | + | 0.0274073i | \(0.991275\pi\) | |||||||
\(548\) | −1.08230 | + | 0.393924i | −0.0462335 | + | 0.0168276i | ||||
\(549\) | 0.167799 | + | 0.926895i | 0.00716148 | + | 0.0395589i | ||||
\(550\) | −26.3469 | − | 9.58950i | −1.12344 | − | 0.408898i | ||||
\(551\) | 13.3023 | + | 44.4327i | 0.566697 | + | 1.89290i | ||||
\(552\) | 0.0116826 | + | 5.12324i | 0.000497245 | + | 0.218060i | ||||
\(553\) | 3.24597 | + | 55.7311i | 0.138033 | + | 2.36993i | ||||
\(554\) | −24.2916 | + | 15.9768i | −1.03205 | + | 0.678791i | ||||
\(555\) | −2.64956 | + | 0.473421i | −0.112468 | + | 0.0200956i | ||||
\(556\) | −2.21381 | − | 0.524683i | −0.0938866 | − | 0.0222515i | ||||
\(557\) | 3.81879 | + | 21.6574i | 0.161807 | + | 0.917654i | 0.952296 | + | 0.305177i | \(0.0987157\pi\) |
−0.790488 | + | 0.612477i | \(0.790173\pi\) | |||||||
\(558\) | −0.213460 | − | 0.0239636i | −0.00903648 | − | 0.00101446i | ||||
\(559\) | 0.128768 | − | 0.730281i | 0.00544631 | − | 0.0308876i | ||||
\(560\) | 3.71678 | − | 8.61647i | 0.157063 | − | 0.364112i | ||||
\(561\) | −7.22852 | + | 6.85098i | −0.305188 | + | 0.289248i | ||||
\(562\) | 6.02664 | − | 20.1304i | 0.254219 | − | 0.849149i | ||||
\(563\) | 28.2743 | − | 37.9790i | 1.19162 | − | 1.60062i | 0.541928 | − | 0.840425i | \(-0.317694\pi\) |
0.649691 | − | 0.760198i | \(-0.274898\pi\) | |||||||
\(564\) | 2.30902 | + | 2.16852i | 0.0972274 | + | 0.0913112i | ||||
\(565\) | 6.47371 | − | 3.25122i | 0.272351 | − | 0.136780i | ||||
\(566\) | 25.7811 | 1.08366 | ||||||||
\(567\) | 34.8515 | − | 8.59645i | 1.46363 | − | 0.361017i | ||||
\(568\) | 29.2870 | 1.22886 | ||||||||
\(569\) | −15.4894 | + | 7.77907i | −0.649350 | + | 0.326116i | −0.742805 | − | 0.669508i | \(-0.766505\pi\) |
0.0934552 | + | 0.995623i | \(0.470209\pi\) | |||||||
\(570\) | 8.74249 | − | 2.63907i | 0.366183 | − | 0.110538i | ||||
\(571\) | 21.2908 | − | 28.5986i | 0.890994 | − | 1.19681i | −0.0886482 | − | 0.996063i | \(-0.528255\pi\) |
0.979642 | − | 0.200750i | \(-0.0643379\pi\) | |||||||
\(572\) | 1.31964 | − | 4.40791i | 0.0551769 | − | 0.184304i | ||||
\(573\) | 21.5035 | + | 6.38434i | 0.898322 | + | 0.266709i | ||||
\(574\) | −14.4980 | + | 33.6100i | −0.605133 | + | 1.40286i | ||||
\(575\) | 0.976768 | − | 5.53953i | 0.0407341 | − | 0.231014i | ||||
\(576\) | 12.2409 | + | 12.8567i | 0.510039 | + | 0.535694i | ||||
\(577\) | −0.228884 | − | 1.29807i | −0.00952858 | − | 0.0540393i | 0.979673 | − | 0.200602i | \(-0.0642899\pi\) |
−0.989201 | + | 0.146563i | \(0.953179\pi\) | |||||||
\(578\) | −22.1614 | − | 5.25236i | −0.921794 | − | 0.218469i | ||||
\(579\) | 10.6428 | − | 29.4497i | 0.442301 | − | 1.22389i | ||||
\(580\) | 1.13510 | − | 0.746565i | 0.0471323 | − | 0.0309994i | ||||
\(581\) | −0.163031 | − | 2.79913i | −0.00676366 | − | 0.116128i | ||||
\(582\) | −30.1046 | + | 17.4725i | −1.24788 | + | 0.724260i | ||||
\(583\) | −14.9592 | − | 49.9672i | −0.619546 | − | 2.06943i | ||||
\(584\) | 36.4540 | + | 13.2682i | 1.50848 | + | 0.549041i | ||||
\(585\) | 0.804032 | − | 4.68473i | 0.0332426 | − | 0.193690i | ||||
\(586\) | 36.8824 | − | 13.4241i | 1.52360 | − | 0.554544i | ||||
\(587\) | 3.00838 | + | 4.04096i | 0.124169 | + | 0.166788i | 0.859861 | − | 0.510528i | \(-0.170550\pi\) |
−0.735692 | + | 0.677317i | \(0.763143\pi\) | |||||||
\(588\) | 0.677949 | − | 5.91721i | 0.0279581 | − | 0.244022i | ||||
\(589\) | 0.302504 | − | 0.0716948i | 0.0124645 | − | 0.00295413i | ||||
\(590\) | 0.434915 | + | 1.00825i | 0.0179052 | + | 0.0415088i | ||||
\(591\) | −13.5340 | + | 10.1237i | −0.556714 | + | 0.416434i | ||||
\(592\) | −11.7938 | − | 7.75689i | −0.484721 | − | 0.318806i | ||||
\(593\) | 13.0012 | − | 22.5187i | 0.533895 | − | 0.924732i | −0.465321 | − | 0.885142i | \(-0.654061\pi\) |
0.999216 | − | 0.0395907i | \(-0.0126054\pi\) | |||||||
\(594\) | −13.6032 | + | 27.5546i | −0.558147 | + | 1.13058i | ||||
\(595\) | 1.52425 | + | 2.64009i | 0.0624883 | + | 0.108233i | ||||
\(596\) | −0.122236 | + | 2.09871i | −0.00500699 | + | 0.0859667i | ||||
\(597\) | −6.47758 | − | 12.8249i | −0.265110 | − | 0.524889i | ||||
\(598\) | 5.66706 | + | 0.662385i | 0.231743 | + | 0.0270869i | ||||
\(599\) | 12.3128 | + | 13.0508i | 0.503087 | + | 0.533241i | 0.928290 | − | 0.371857i | \(-0.121279\pi\) |
−0.425203 | + | 0.905098i | \(0.639797\pi\) | |||||||
\(600\) | −11.2886 | − | 17.0786i | −0.460856 | − | 0.697229i | ||||
\(601\) | 34.0693 | − | 3.98213i | 1.38972 | − | 0.162435i | 0.611904 | − | 0.790932i | \(-0.290404\pi\) |
0.777812 | + | 0.628497i | \(0.216330\pi\) | |||||||
\(602\) | 1.12414 | + | 0.943264i | 0.0458164 | + | 0.0384446i | ||||
\(603\) | −6.45731 | + | 15.1594i | −0.262962 | + | 0.617340i | ||||
\(604\) | −4.40962 | + | 3.70011i | −0.179425 | + | 0.150555i | ||||
\(605\) | 1.27752 | − | 1.35409i | 0.0519386 | − | 0.0550517i | ||||
\(606\) | 21.2052 | − | 25.3887i | 0.861402 | − | 1.03135i | ||||
\(607\) | −1.75575 | − | 0.881768i | −0.0712635 | − | 0.0357899i | 0.412811 | − | 0.910817i | \(-0.364547\pi\) |
−0.484074 | + | 0.875027i | \(0.660843\pi\) | |||||||
\(608\) | 12.9158 | + | 6.48658i | 0.523807 | + | 0.263066i | ||||
\(609\) | −30.6246 | + | 36.6664i | −1.24097 | + | 1.48580i | ||||
\(610\) | −0.169387 | + | 0.179539i | −0.00685826 | + | 0.00726933i | ||||
\(611\) | −11.2987 | + | 9.48071i | −0.457095 | + | 0.383549i | ||||
\(612\) | 1.72659 | − | 0.209796i | 0.0697933 | − | 0.00848049i | ||||
\(613\) | −1.60067 | − | 1.34312i | −0.0646505 | − | 0.0542482i | 0.609890 | − | 0.792486i | \(-0.291214\pi\) |
−0.674540 | + | 0.738238i | \(0.735658\pi\) | |||||||
\(614\) | −15.3976 | + | 1.79973i | −0.621398 | + | 0.0726310i | ||||
\(615\) | −2.88783 | − | 4.36900i | −0.116448 | − | 0.176175i | ||||
\(616\) | −26.1247 | − | 27.6906i | −1.05260 | − | 1.11569i | ||||
\(617\) | 41.2858 | + | 4.82562i | 1.66211 | + | 0.194272i | 0.894631 | − | 0.446807i | \(-0.147439\pi\) |
0.767475 | + | 0.641079i | \(0.221513\pi\) | |||||||
\(618\) | −2.52112 | − | 4.99155i | −0.101414 | − | 0.200790i | ||||
\(619\) | 0.408859 | − | 7.01983i | 0.0164334 | − | 0.282151i | −0.980073 | − | 0.198637i | \(-0.936349\pi\) |
0.996507 | − | 0.0835141i | \(-0.0266144\pi\) | |||||||
\(620\) | −0.00455322 | − | 0.00788641i | −0.000182862 | − | 0.000316726i | ||||
\(621\) | −5.91797 | − | 1.72770i | −0.237480 | − | 0.0693302i | ||||
\(622\) | −20.8154 | + | 36.0533i | −0.834620 | + | 1.44561i | ||||
\(623\) | −38.5568 | − | 25.3592i | −1.54474 | − | 1.01599i | ||||
\(624\) | 19.9621 | − | 14.9321i | 0.799122 | − | 0.597761i | ||||
\(625\) | 8.38978 | + | 19.4497i | 0.335591 | + | 0.777988i | ||||
\(626\) | 19.5866 | − | 4.64212i | 0.782839 | − | 0.185536i | ||||
\(627\) | 5.06252 | − | 44.1862i | 0.202178 | − | 1.76463i | ||||
\(628\) | 1.93280 | + | 2.59620i | 0.0771271 | + | 0.103600i | ||||
\(629\) | 4.30925 | − | 1.56844i | 0.171821 | − | 0.0625378i | ||||
\(630\) | 7.23309 | + | 6.01329i | 0.288173 | + | 0.239575i | ||||
\(631\) | 6.32771 | + | 2.30310i | 0.251902 | + | 0.0916848i | 0.464885 | − | 0.885371i | \(-0.346096\pi\) |
−0.212983 | + | 0.977056i | \(0.568318\pi\) | |||||||
\(632\) | −10.0080 | − | 33.4290i | −0.398096 | − | 1.32973i | ||||
\(633\) | −16.9863 | + | 9.85875i | −0.675144 | + | 0.391850i | ||||
\(634\) | −0.852680 | − | 14.6400i | −0.0338643 | − | 0.581427i | ||||
\(635\) | 7.86819 | − | 5.17499i | 0.312240 | − | 0.205363i | ||||
\(636\) | −3.09591 | + | 8.56668i | −0.122761 | + | 0.339691i | ||||
\(637\) | 26.9846 | + | 6.39547i | 1.06917 | + | 0.253398i | ||||
\(638\) | −7.10175 | − | 40.2760i | −0.281161 | − | 1.59454i | ||||
\(639\) | −9.95350 | + | 33.8074i | −0.393754 | + | 1.33740i | ||||
\(640\) | −1.18865 | + | 6.74119i | −0.0469857 | + | 0.266469i | ||||
\(641\) | 5.18207 | − | 12.0134i | 0.204680 | − | 0.474501i | −0.784696 | − | 0.619880i | \(-0.787181\pi\) |
0.989376 | + | 0.145380i | \(0.0464404\pi\) | |||||||
\(642\) | 4.26457 | + | 1.26614i | 0.168309 | + | 0.0499706i | ||||
\(643\) | 0.752226 | − | 2.51261i | 0.0296649 | − | 0.0990877i | −0.941875 | − | 0.335963i | \(-0.890938\pi\) |
0.971540 | + | 0.236876i | \(0.0761234\pi\) | |||||||
\(644\) | −1.09085 | + | 1.46527i | −0.0429856 | + | 0.0577396i | ||||
\(645\) | −0.201001 | + | 0.0606756i | −0.00791442 | + | 0.00238910i | ||||
\(646\) | −13.9043 | + | 6.98300i | −0.547058 | + | 0.274743i | ||||
\(647\) | 2.94663 | 0.115844 | 0.0579219 | − | 0.998321i | \(-0.481553\pi\) | ||||
0.0579219 | + | 0.998321i | \(0.481553\pi\) | |||||||
\(648\) | −19.9583 | + | 10.2524i | −0.784035 | + | 0.402754i | ||||
\(649\) | 5.34772 | 0.209916 | ||||||||
\(650\) | −20.3743 | + | 10.2323i | −0.799144 | + | 0.401345i | ||||
\(651\) | 0.233417 | + | 0.219213i | 0.00914831 | + | 0.00859164i | ||||
\(652\) | 0.702019 | − | 0.942975i | 0.0274932 | − | 0.0369298i | ||||
\(653\) | −10.1039 | + | 33.7492i | −0.395395 | + | 1.32071i | 0.496331 | + | 0.868133i | \(0.334680\pi\) |
−0.891726 | + | 0.452577i | \(0.850505\pi\) | |||||||
\(654\) | 8.34928 | − | 7.91320i | 0.326483 | − | 0.309431i | ||||
\(655\) | 1.11938 | − | 2.59502i | 0.0437378 | − | 0.101396i | ||||
\(656\) | 4.76957 | − | 27.0496i | 0.186221 | − | 1.05611i | ||||
\(657\) | −27.7053 | + | 37.5713i | −1.08089 | + | 1.46579i | ||||
\(658\) | −5.06840 | − | 28.7443i | −0.197587 | − | 1.12057i | ||||
\(659\) | 16.3509 | + | 3.87524i | 0.636942 | + | 0.150958i | 0.536385 | − | 0.843973i | \(-0.319789\pi\) |
0.100557 | + | 0.994931i | \(0.467938\pi\) | |||||||
\(660\) | −1.28246 | + | 0.229149i | −0.0499198 | + | 0.00891963i | ||||
\(661\) | 2.43154 | − | 1.59925i | 0.0945758 | − | 0.0622035i | −0.501340 | − | 0.865250i | \(-0.667159\pi\) |
0.595916 | + | 0.803047i | \(0.296789\pi\) | |||||||
\(662\) | 2.11192 | + | 36.2603i | 0.0820821 | + | 1.40930i | ||||
\(663\) | 0.0184672 | + | 8.09852i | 0.000717206 | + | 0.314520i | ||||
\(664\) | 0.502657 | + | 1.67899i | 0.0195069 | + | 0.0651575i | ||||
\(665\) | −12.7928 | − | 4.65618i | −0.496082 | − | 0.180559i | ||||
\(666\) | 10.7976 | − | 9.14453i | 0.418400 | − | 0.354343i | ||||
\(667\) | 7.71007 | − | 2.80623i | 0.298535 | − | 0.108658i | ||||
\(668\) | −4.86486 | − | 6.53463i | −0.188227 | − | 0.252833i | ||||
\(669\) | −30.0693 | + | 13.0520i | −1.16254 | + | 0.504620i | ||||
\(670\) | −4.20137 | + | 0.995743i | −0.162313 | + | 0.0384689i | ||||
\(671\) | 0.476136 | + | 1.10381i | 0.0183810 | + | 0.0426120i | ||||
\(672\) | 1.76199 | + | 14.7824i | 0.0679702 | + | 0.570242i | ||||
\(673\) | −2.54198 | − | 1.67188i | −0.0979860 | − | 0.0644464i | 0.499570 | − | 0.866273i | \(-0.333491\pi\) |
−0.597556 | + | 0.801827i | \(0.703862\pi\) | |||||||
\(674\) | 2.40053 | − | 4.15783i | 0.0924648 | − | 0.160154i | ||||
\(675\) | 23.5511 | − | 7.22666i | 0.906484 | − | 0.278154i | ||||
\(676\) | 0.638419 | + | 1.10577i | 0.0245546 | + | 0.0425298i | ||||
\(677\) | −2.17657 | + | 37.3703i | −0.0836525 | + | 1.43626i | 0.651650 | + | 0.758520i | \(0.274077\pi\) |
−0.735303 | + | 0.677739i | \(0.762960\pi\) | |||||||
\(678\) | −20.8548 | + | 31.8662i | −0.800923 | + | 1.22381i | ||||
\(679\) | 51.5389 | + | 6.02403i | 1.97788 | + | 0.231181i | ||||
\(680\) | −1.30766 | − | 1.38603i | −0.0501463 | − | 0.0531520i | ||||
\(681\) | −19.1884 | + | 1.16151i | −0.735300 | + | 0.0445090i | ||||
\(682\) | −0.272273 | + | 0.0318242i | −0.0104259 | + | 0.00121861i | ||||
\(683\) | −23.8512 | − | 20.0135i | −0.912641 | − | 0.765797i | 0.0599783 | − | 0.998200i | \(-0.480897\pi\) |
−0.972620 | + | 0.232403i | \(0.925341\pi\) | |||||||
\(684\) | −5.30433 | + | 5.67388i | −0.202816 | + | 0.216946i | ||||
\(685\) | −1.16318 | + | 0.976025i | −0.0444429 | + | 0.0372920i | ||||
\(686\) | −8.06571 | + | 8.54915i | −0.307950 | + | 0.326408i | ||||
\(687\) | 5.19629 | + | 0.904034i | 0.198251 | + | 0.0344910i | ||||
\(688\) | −0.984033 | − | 0.494200i | −0.0375159 | − | 0.0188412i | ||||
\(689\) | −37.9019 | − | 19.0351i | −1.44395 | − | 0.725179i | ||||
\(690\) | −0.555988 | − | 1.51679i | −0.0211661 | − | 0.0577433i | ||||
\(691\) | −7.35279 | + | 7.79351i | −0.279713 | + | 0.296479i | −0.851964 | − | 0.523600i | \(-0.824589\pi\) |
0.572251 | + | 0.820078i | \(0.306070\pi\) | |||||||
\(692\) | 0.501162 | − | 0.420525i | 0.0190513 | − | 0.0159859i | ||||
\(693\) | 40.8433 | − | 20.7461i | 1.55151 | − | 0.788078i | ||||
\(694\) | −26.3811 | − | 22.1364i | −1.00141 | − | 0.840286i | ||||
\(695\) | −2.97916 | + | 0.348214i | −0.113006 | + | 0.0132085i | ||||
\(696\) | 13.3410 | − | 26.7159i | 0.505691 | − | 1.01266i | ||||
\(697\) | 6.12336 | + | 6.49038i | 0.231939 | + | 0.245841i | ||||
\(698\) | −4.62229 | − | 0.540268i | −0.174956 | − | 0.0204495i | ||||
\(699\) | 24.6353 | + | 1.37849i | 0.931794 | + | 0.0521391i | ||||
\(700\) | 0.424429 | − | 7.28716i | 0.0160419 | − | 0.275429i | ||||
\(701\) | −10.3580 | − | 17.9406i | −0.391216 | − | 0.677607i | 0.601394 | − | 0.798953i | \(-0.294612\pi\) |
−0.992610 | + | 0.121346i | \(0.961279\pi\) | |||||||
\(702\) | 8.70690 | + | 23.4222i | 0.328621 | + | 0.884014i | ||||
\(703\) | −10.2395 | + | 17.7353i | −0.386188 | + | 0.668898i | ||||
\(704\) | 18.9279 | + | 12.4491i | 0.713373 | + | 0.469193i | ||||
\(705\) | 3.83833 | + | 1.64532i | 0.144560 | + | 0.0619664i | ||||
\(706\) | 1.32413 | + | 3.06968i | 0.0498343 | + | 0.115529i | ||||
\(707\) | −47.9840 | + | 11.3724i | −1.80462 | + | 0.427704i | ||||
\(708\) | −0.750393 | − | 0.555992i | −0.0282015 | − | 0.0208955i | ||||
\(709\) | −10.8621 | − | 14.5903i | −0.407933 | − | 0.547949i | 0.549917 | − | 0.835220i | \(-0.314660\pi\) |
−0.957849 | + | 0.287271i | \(0.907252\pi\) | |||||||
\(710\) | −8.67796 | + | 3.15852i | −0.325678 | + | 0.118537i | ||||
\(711\) | 41.9899 | − | 0.191502i | 1.57475 | − | 0.00718188i | ||||
\(712\) | 27.1066 | + | 9.86600i | 1.01586 | + | 0.369744i | ||||
\(713\) | −0.0157729 | − | 0.0526853i | −0.000590701 | − | 0.00197308i | ||||
\(714\) | −13.8974 | − | 7.98149i | −0.520098 | − | 0.298700i | ||||
\(715\) | −0.352708 | − | 6.05576i | −0.0131905 | − | 0.226473i | ||||
\(716\) | 3.89083 | − | 2.55904i | 0.145407 | − | 0.0956357i | ||||
\(717\) | −8.87096 | − | 10.5232i | −0.331292 | − | 0.392995i | ||||
\(718\) | −0.974750 | − | 0.231020i | −0.0363773 | − | 0.00862159i | ||||
\(719\) | −5.53156 | − | 31.3710i | −0.206292 | − | 1.16994i | −0.895393 | − | 0.445277i | \(-0.853105\pi\) |
0.689101 | − | 0.724666i | \(-0.258006\pi\) | |||||||
\(720\) | −6.32192 | − | 3.13897i | −0.235604 | − | 0.116982i | ||||
\(721\) | −1.44761 | + | 8.20980i | −0.0539118 | + | 0.305749i | ||||
\(722\) | 15.8965 | − | 36.8522i | 0.591605 | − | 1.37150i | ||||
\(723\) | 1.46139 | + | 6.10404i | 0.0543498 | + | 0.227012i | ||||
\(724\) | −0.836010 | + | 2.79247i | −0.0310701 | + | 0.103781i | ||||
\(725\) | −19.5785 | + | 26.2985i | −0.727128 | + | 0.976703i | ||||
\(726\) | −2.23525 | + | 9.52804i | −0.0829580 | + | 0.353619i | ||||
\(727\) | 8.47059 | − | 4.25409i | 0.314157 | − | 0.157775i | −0.284733 | − | 0.958607i | \(-0.591905\pi\) |
0.598890 | + | 0.800831i | \(0.295609\pi\) | |||||||
\(728\) | −30.9566 | −1.14733 | ||||||||
\(729\) | −5.05185 | − | 26.5232i | −0.187106 | − | 0.982340i | ||||
\(730\) | −12.2325 | −0.452746 | ||||||||
\(731\) | 0.319678 | − | 0.160548i | 0.0118237 | − | 0.00593810i | ||||
\(732\) | 0.0479492 | − | 0.204390i | 0.00177225 | − | 0.00755445i | ||||
\(733\) | −25.1663 | + | 33.8042i | −0.929538 | + | 1.24859i | 0.0388776 | + | 0.999244i | \(0.487622\pi\) |
−0.968415 | + | 0.249342i | \(0.919786\pi\) | |||||||
\(734\) | 4.19506 | − | 14.0125i | 0.154843 | − | 0.517210i | ||||
\(735\) | −1.82822 | − | 7.63621i | −0.0674348 | − | 0.281666i | ||||
\(736\) | 1.01269 | − | 2.34768i | 0.0373283 | − | 0.0865366i | ||||
\(737\) | −3.65153 | + | 20.7089i | −0.134506 | + | 0.762821i | ||||
\(738\) | 24.6598 | + | 12.2441i | 0.907738 | + | 0.450711i | ||||
\(739\) | 8.32565 | + | 47.2171i | 0.306264 | + | 1.73691i | 0.617496 | + | 0.786574i | \(0.288147\pi\) |
−0.311232 | + | 0.950334i | \(0.600742\pi\) | |||||||
\(740\) | 0.583700 | + | 0.138340i | 0.0214572 | + | 0.00508546i | ||||
\(741\) | −23.3100 | − | 27.6515i | −0.856314 | − | 1.01580i | ||||
\(742\) | 70.1245 | − | 46.1216i | 2.57435 | − | 1.69318i | ||||
\(743\) | 0.599497 | + | 10.2930i | 0.0219934 | + | 0.377612i | 0.991288 | + | 0.131711i | \(0.0420470\pi\) |
−0.969295 | + | 0.245902i | \(0.920916\pi\) | |||||||
\(744\) | −0.173569 | − | 0.0996830i | −0.00636334 | − | 0.00365456i | ||||
\(745\) | 0.794887 | + | 2.65511i | 0.0291224 | + | 0.0972756i | ||||
\(746\) | 7.08589 | + | 2.57905i | 0.259433 | + | 0.0944258i | ||||
\(747\) | −2.10897 | + | 0.00961830i | −0.0771633 | + | 0.000351915i | ||||
\(748\) | 2.08580 | − | 0.759170i | 0.0762645 | − | 0.0277580i | ||||
\(749\) | −3.96018 | − | 5.31945i | −0.144702 | − | 0.194368i | ||||
\(750\) | 10.6569 | + | 7.89606i | 0.389135 | + | 0.288323i | ||||
\(751\) | 24.3796 | − | 5.77806i | 0.889623 | − | 0.210844i | 0.239702 | − | 0.970847i | \(-0.422950\pi\) |
0.649921 | + | 0.760002i | \(0.274802\pi\) | |||||||
\(752\) | 8.67498 | + | 20.1109i | 0.316344 | + | 0.733368i | ||||
\(753\) | −4.04618 | − | 1.73442i | −0.147451 | − | 0.0632057i | ||||
\(754\) | −27.7852 | − | 18.2746i | −1.01188 | − | 0.665523i | ||||
\(755\) | −3.79446 | + | 6.57219i | −0.138094 | + | 0.239187i | ||||
\(756\) | −7.88807 | − | 1.33531i | −0.286886 | − | 0.0485646i | ||||
\(757\) | 3.05875 | + | 5.29791i | 0.111172 | + | 0.192556i | 0.916243 | − | 0.400623i | \(-0.131206\pi\) |
−0.805071 | + | 0.593178i | \(0.797873\pi\) | |||||||
\(758\) | 2.33860 | − | 40.1521i | 0.0849416 | − | 1.45839i | ||||
\(759\) | −7.85543 | − | 0.439556i | −0.285134 | − | 0.0159549i | ||||
\(760\) | 8.45203 | + | 0.987900i | 0.306587 | + | 0.0358349i | ||||
\(761\) | −30.7810 | − | 32.6260i | −1.11581 | − | 1.18269i | −0.981442 | − | 0.191761i | \(-0.938580\pi\) |
−0.134370 | − | 0.990931i | \(-0.542901\pi\) | |||||||
\(762\) | −22.1185 | + | 44.2931i | −0.801269 | + | 1.60457i | ||||
\(763\) | −17.0328 | + | 1.99085i | −0.616630 | + | 0.0720738i | ||||
\(764\) | −3.82972 | − | 3.21351i | −0.138554 | − | 0.116261i | ||||
\(765\) | 2.04439 | − | 1.03843i | 0.0739149 | − | 0.0375446i | ||||
\(766\) | −9.50299 | + | 7.97396i | −0.343357 | + | 0.288111i | ||||
\(767\) | 2.98417 | − | 3.16304i | 0.107752 | − | 0.114211i | ||||
\(768\) | −5.33023 | − | 14.5414i | −0.192338 | − | 0.524719i | ||||
\(769\) | 33.8960 | + | 17.0232i | 1.22232 | + | 0.613873i | 0.938591 | − | 0.345031i | \(-0.112131\pi\) |
0.283731 | + | 0.958904i | \(0.408428\pi\) | |||||||
\(770\) | 10.7273 | + | 5.38745i | 0.386585 | + | 0.194150i | ||||
\(771\) | −47.7792 | − | 8.31247i | −1.72073 | − | 0.299366i | ||||
\(772\) | −4.78931 | + | 5.07637i | −0.172371 | + | 0.182703i | ||||
\(773\) | 11.7711 | − | 9.87712i | 0.423377 | − | 0.355255i | −0.406069 | − | 0.913842i | \(-0.633101\pi\) |
0.829446 | + | 0.558587i | \(0.188656\pi\) | |||||||
\(774\) | 0.753790 | − | 0.806306i | 0.0270944 | − | 0.0289821i | ||||
\(775\) | 0.168345 | + | 0.141258i | 0.00604713 | + | 0.00507415i | ||||
\(776\) | −32.2154 | + | 3.76544i | −1.15647 | + | 0.135172i | ||||
\(777\) | −21.0550 | + | 1.27450i | −0.755345 | + | 0.0457223i | ||||
\(778\) | 24.1113 | + | 25.5565i | 0.864432 | + | 0.916245i | ||||
\(779\) | −39.5783 | − | 4.62604i | −1.41804 | − | 0.165745i | ||||
\(780\) | −0.580114 | + | 0.886416i | −0.0207714 | + | 0.0317388i | ||||
\(781\) | −2.61511 | + | 44.8997i | −0.0935759 | + | 1.60664i | ||||
\(782\) | 1.37623 | + | 2.38370i | 0.0492138 | + | 0.0852408i | ||||
\(783\) | 26.3053 | + | 24.4799i | 0.940076 | + | 0.874839i | ||||
\(784\) | 20.5905 | − | 35.6637i | 0.735373 | − | 1.27370i | ||||
\(785\) | 3.56508 | + | 2.34479i | 0.127243 | + | 0.0836892i | ||||
\(786\) | 1.75848 | + | 14.7529i | 0.0627229 | + | 0.526219i | ||||
\(787\) | −19.5395 | − | 45.2976i | −0.696507 | − | 1.61468i | −0.785654 | − | 0.618666i | \(-0.787674\pi\) |
0.0891477 | − | 0.996018i | \(-0.471586\pi\) | |||||||
\(788\) | 3.66535 | − | 0.868704i | 0.130573 | − | 0.0309463i | ||||
\(789\) | 3.90954 | − | 1.69699i | 0.139183 | − | 0.0604146i | ||||
\(790\) | 6.57065 | + | 8.82591i | 0.233773 | + | 0.314012i | ||||
\(791\) | 53.3497 | − | 19.4177i | 1.89690 | − | 0.690414i | ||||
\(792\) | −21.8512 | + | 18.5058i | −0.776450 | + | 0.657576i | ||||
\(793\) | 0.918571 | + | 0.334333i | 0.0326194 | + | 0.0118725i | ||||
\(794\) | −10.9523 | − | 36.5833i | −0.388683 | − | 1.29829i | ||||
\(795\) | 0.0273838 | + | 12.0088i | 0.000971204 | + | 0.425908i | ||||
\(796\) | 0.186194 | + | 3.19682i | 0.00659946 | + | 0.113308i | ||||
\(797\) | 12.7468 | − | 8.38372i | 0.451516 | − | 0.296967i | −0.303310 | − | 0.952892i | \(-0.598092\pi\) |
0.754826 | + | 0.655925i | \(0.227721\pi\) | |||||||
\(798\) | 70.4531 | − | 12.5885i | 2.49401 | − | 0.445628i | ||||
\(799\) | −6.92344 | − | 1.64089i | −0.244934 | − | 0.0580504i | ||||
\(800\) | 1.77412 | + | 10.0615i | 0.0627245 | + | 0.355728i | ||||
\(801\) | −20.6013 | + | 27.9374i | −0.727909 | + | 0.987119i | ||||
\(802\) | −4.55360 | + | 25.8247i | −0.160793 | + | 0.911903i | ||||
\(803\) | −23.5964 | + | 54.7025i | −0.832698 | + | 1.93041i | ||||
\(804\) | 2.66545 | − | 2.52623i | 0.0940030 | − | 0.0890933i | ||||
\(805\) | −0.690705 | + | 2.30711i | −0.0243441 | + | 0.0813151i | ||||
\(806\) | −0.133113 | + | 0.178801i | −0.00468869 | + | 0.00629801i | ||||
\(807\) | −14.2737 | − | 13.4052i | −0.502458 | − | 0.471884i | ||||
\(808\) | 27.5456 | − | 13.8339i | 0.969050 | − | 0.486675i | ||||
\(809\) | 30.2451 | 1.06336 | 0.531681 | − | 0.846945i | \(-0.321561\pi\) | ||||
0.531681 | + | 0.846945i | \(0.321561\pi\) | |||||||
\(810\) | 4.80809 | − | 5.19031i | 0.168939 | − | 0.182369i | ||||
\(811\) | −20.7859 | −0.729892 | −0.364946 | − | 0.931029i | \(-0.618913\pi\) | ||||
−0.364946 | + | 0.931029i | \(0.618913\pi\) | |||||||
\(812\) | 9.51489 | − | 4.77856i | 0.333907 | − | 0.167695i | ||||
\(813\) | −7.09966 | + | 2.14315i | −0.248996 | + | 0.0751636i | ||||
\(814\) | 10.7832 | − | 14.4844i | 0.377952 | − | 0.507678i | ||||
\(815\) | 0.444504 | − | 1.48475i | 0.0155703 | − | 0.0520084i | ||||
\(816\) | 11.5286 | + | 3.42280i | 0.403580 | + | 0.119822i | ||||
\(817\) | −0.632743 | + | 1.46686i | −0.0221369 | + | 0.0513191i | ||||
\(818\) | 3.03064 | − | 17.1876i | 0.105964 | − | 0.600950i | ||||
\(819\) | 10.5209 | − | 35.7347i | 0.367631 | − | 1.24867i | ||||
\(820\) | 0.202686 | + | 1.14949i | 0.00707810 | + | 0.0401419i | ||||
\(821\) | 42.6205 | + | 10.1012i | 1.48747 | + | 0.352536i | 0.892438 | − | 0.451169i | \(-0.148993\pi\) |
0.595028 | + | 0.803705i | \(0.297141\pi\) | |||||||
\(822\) | 2.71307 | − | 7.50732i | 0.0946291 | − | 0.261848i | ||||
\(823\) | −6.24648 | + | 4.10838i | −0.217739 | + | 0.143209i | −0.653693 | − | 0.756760i | \(-0.726781\pi\) |
0.435954 | + | 0.899969i | \(0.356411\pi\) | |||||||
\(824\) | −0.302985 | − | 5.20205i | −0.0105550 | − | 0.181222i | ||||
\(825\) | 27.1910 | − | 15.7815i | 0.946667 | − | 0.549441i | ||||
\(826\) | 2.46807 | + | 8.24394i | 0.0858753 | + | 0.286843i | ||||
\(827\) | −36.5331 | − | 13.2970i | −1.27038 | − | 0.462381i | −0.383142 | − | 0.923690i | \(-0.625158\pi\) |
−0.887240 | + | 0.461309i | \(0.847380\pi\) | |||||||
\(828\) | 1.05658 | + | 0.878393i | 0.0367186 | + | 0.0305263i | ||||
\(829\) | −32.8678 | + | 11.9629i | −1.14155 | + | 0.415489i | −0.842471 | − | 0.538741i | \(-0.818900\pi\) |
−0.299075 | + | 0.954230i | \(0.596678\pi\) | |||||||
\(830\) | −0.330015 | − | 0.443287i | −0.0114550 | − | 0.0153867i | ||||
\(831\) | 3.71097 | − | 32.3897i | 0.128732 | − | 1.12359i | ||||
\(832\) | 17.9256 | − | 4.24845i | 0.621459 | − | 0.147289i | ||||
\(833\) | 5.29885 | + | 12.2841i | 0.183594 | + | 0.425620i | ||||
\(834\) | 12.6267 | − | 9.44503i | 0.437226 | − | 0.327055i | ||||
\(835\) | −8.97331 | − | 5.90184i | −0.310534 | − | 0.204242i | ||||
\(836\) | −4.95619 | + | 8.58438i | −0.171413 | + | 0.296897i | ||||
\(837\) | 0.174058 | − | 0.166480i | 0.00601632 | − | 0.00575441i | ||||
\(838\) | −25.0477 | − | 43.3840i | −0.865260 | − | 1.49867i | ||||
\(839\) | −0.312817 | + | 5.37086i | −0.0107996 | + | 0.185423i | 0.988594 | + | 0.150605i | \(0.0481221\pi\) |
−0.999394 | + | 0.0348177i | \(0.988915\pi\) | |||||||
\(840\) | 3.95157 | + | 7.82368i | 0.136342 | + | 0.269943i | ||||
\(841\) | −18.6962 | − | 2.18528i | −0.644697 | − | 0.0753543i | ||||
\(842\) | 0.704284 | + | 0.746498i | 0.0242712 | + | 0.0257260i | ||||
\(843\) | 12.9924 | + | 19.6563i | 0.447484 | + | 0.676998i | ||||
\(844\) | 4.34764 | − | 0.508166i | 0.149652 | − | 0.0174918i | ||||
\(845\) | 1.28950 | + | 1.08202i | 0.0443602 | + | 0.0372227i | ||||
\(846\) | −21.7939 | + | 2.64815i | −0.749289 | + | 0.0910451i | ||||
\(847\) | 11.1763 | − | 9.37801i | 0.384021 | − | 0.322232i | ||||
\(848\) | −43.2207 | + | 45.8113i | −1.48421 | + | 1.57317i | ||||
\(849\) | −18.5314 | + | 22.1875i | −0.635998 | + | 0.761472i | ||||
\(850\) | −9.82873 | − | 4.93617i | −0.337123 | − | 0.169309i | ||||
\(851\) | 3.23740 | + | 1.62588i | 0.110976 | + | 0.0557345i | ||||
\(852\) | 5.03508 | − | 6.02844i | 0.172499 | − | 0.206531i | ||||
\(853\) | −13.1558 | + | 13.9443i | −0.450444 | + | 0.477443i | −0.912306 | − | 0.409509i | \(-0.865700\pi\) |
0.461862 | + | 0.886952i | \(0.347182\pi\) | |||||||
\(854\) | −1.48186 | + | 1.24343i | −0.0507083 | + | 0.0425493i | ||||
\(855\) | −4.01289 | + | 9.42083i | −0.137238 | + | 0.322185i | ||||
\(856\) | 3.17547 | + | 2.66454i | 0.108535 | + | 0.0910721i | ||||
\(857\) | 31.6463 | − | 3.69892i | 1.08102 | − | 0.126353i | 0.443111 | − | 0.896467i | \(-0.353875\pi\) |
0.637906 | + | 0.770114i | \(0.279801\pi\) | |||||||
\(858\) | 17.5844 | + | 26.6034i | 0.600321 | + | 0.908226i | ||||
\(859\) | −10.8109 | − | 11.4589i | −0.368863 | − | 0.390972i | 0.516181 | − | 0.856480i | \(-0.327353\pi\) |
−0.885044 | + | 0.465507i | \(0.845872\pi\) | |||||||
\(860\) | 0.0464781 | + | 0.00543251i | 0.00158489 | + | 0.000185247i | ||||
\(861\) | −18.5040 | − | 36.6359i | −0.630614 | − | 1.24855i | ||||
\(862\) | −2.72788 | + | 46.8359i | −0.0929119 | + | 1.59524i | ||||
\(863\) | 1.55618 | + | 2.69539i | 0.0529731 | + | 0.0917521i | 0.891296 | − | 0.453422i | \(-0.149797\pi\) |
−0.838323 | + | 0.545174i | \(0.816464\pi\) | |||||||
\(864\) | 11.1739 | − | 0.727538i | 0.380144 | − | 0.0247513i | ||||
\(865\) | 0.431247 | − | 0.746942i | 0.0146628 | − | 0.0253968i | ||||
\(866\) | 14.6685 | + | 9.64761i | 0.498455 | + | 0.327839i | ||||
\(867\) | 20.4498 | − | 15.2969i | 0.694513 | − | 0.519511i | ||||
\(868\) | −0.0282673 | − | 0.0655309i | −0.000959453 | − | 0.00222426i | ||||
\(869\) | 52.1432 | − | 12.3582i | 1.76884 | − | 0.419222i | ||||
\(870\) | −1.07181 | + | 9.35491i | −0.0363379 | + | 0.317161i | ||||
\(871\) | 10.2111 | + | 13.7159i | 0.345990 | + | 0.464746i | ||||
\(872\) | 10.0728 | − | 3.66619i | 0.341107 | − | 0.124153i | ||||
\(873\) | 6.60211 | − | 38.4675i | 0.223448 | − | 1.30193i | ||||
\(874\) | −11.5504 | − | 4.20400i | −0.390698 | − | 0.142202i | ||||
\(875\) | −5.67080 | − | 18.9418i | −0.191708 | − | 0.640349i | ||||
\(876\) | 8.99837 | − | 5.22260i | 0.304027 | − | 0.176455i | ||||
\(877\) | 0.446806 | + | 7.67137i | 0.0150876 | + | 0.259044i | 0.997414 | + | 0.0718685i | \(0.0228962\pi\) |
−0.982327 | + | 0.187175i | \(0.940067\pi\) | |||||||
\(878\) | 9.25513 | − | 6.08720i | 0.312346 | − | 0.205433i | ||||
\(879\) | −14.9581 | + | 41.3905i | −0.504525 | + | 1.39607i | ||||
\(880\) | −8.76495 | − | 2.07733i | −0.295466 | − | 0.0700268i | ||||
\(881\) | 8.24582 | + | 46.7644i | 0.277809 | + | 1.57553i | 0.729896 | + | 0.683558i | \(0.239568\pi\) |
−0.452087 | + | 0.891974i | \(0.649320\pi\) | |||||||
\(882\) | 28.4639 | + | 29.8956i | 0.958429 | + | 1.00664i | ||||
\(883\) | 5.38476 | − | 30.5385i | 0.181212 | − | 1.02770i | −0.749515 | − | 0.661987i | \(-0.769713\pi\) |
0.930727 | − | 0.365715i | \(-0.119176\pi\) | |||||||
\(884\) | 0.714905 | − | 1.65734i | 0.0240449 | − | 0.0557423i | ||||
\(885\) | −1.18032 | − | 0.350435i | −0.0396761 | − | 0.0117797i | ||||
\(886\) | 0.773780 | − | 2.58461i | 0.0259957 | − | 0.0868315i | ||||
\(887\) | 1.82153 | − | 2.44674i | 0.0611611 | − | 0.0821536i | −0.770490 | − | 0.637452i | \(-0.779988\pi\) |
0.831651 | + | 0.555298i | \(0.187396\pi\) | |||||||
\(888\) | 12.6224 | − | 3.81029i | 0.423580 | − | 0.127865i | ||||
\(889\) | 65.9548 | − | 33.1237i | 2.21205 | − | 1.11093i | ||||
\(890\) | −9.09590 | −0.304895 | ||||||||
\(891\) | −13.9358 | − | 31.5133i | −0.466867 | − | 1.05574i | ||||
\(892\) | 7.30576 | 0.244615 | ||||||||
\(893\) | 28.3948 | − | 14.2604i | 0.950196 | − | 0.477206i | ||||
\(894\) | −10.6208 | − | 9.97453i | −0.355213 | − | 0.333598i | ||||
\(895\) | 3.66626 | − | 4.92465i | 0.122550 | − | 0.164613i | ||||
\(896\) | −15.3858 | + | 51.3923i | −0.514005 | + | 1.71690i | ||||
\(897\) | −4.64353 | + | 4.40100i | −0.155043 | + | 0.146945i | ||||
\(898\) | 20.5014 | − | 47.5275i | 0.684139 | − | 1.58601i | ||||
\(899\) | −0.0556631 | + | 0.315681i | −0.00185647 | + | 0.0105286i | ||||
\(900\) | −5.45621 | − | 0.612529i | −0.181874 | − | 0.0204176i | ||||
\(901\) | −3.55294 | − | 20.1497i | −0.118366 | − | 0.671285i | ||||
\(902\) | 34.1892 | + | 8.10299i | 1.13838 | + | 0.269800i | ||||
\(903\) | −1.61981 | + | 0.289426i | −0.0539039 | + | 0.00963150i | ||||
\(904\) | −29.6494 | + | 19.5007i | −0.986124 | + | 0.648584i | ||||
\(905\) | 0.223445 | + | 3.83640i | 0.00742756 | + | 0.127526i | ||||
\(906\) | −0.0909745 | − | 39.8956i | −0.00302243 | − | 1.32544i | ||||
\(907\) | −4.23822 | − | 14.1566i | −0.140728 | − | 0.470063i | 0.858347 | − | 0.513069i | \(-0.171492\pi\) |
−0.999075 | + | 0.0430062i | \(0.986306\pi\) | |||||||
\(908\) | 4.02603 | + | 1.46536i | 0.133609 | + | 0.0486296i | ||||
\(909\) | 6.60748 | + | 36.4987i | 0.219156 | + | 1.21059i | ||||
\(910\) | 9.17266 | − | 3.33858i | 0.304071 | − | 0.110673i | ||||
\(911\) | 17.9180 | + | 24.0680i | 0.593649 | + | 0.797410i | 0.992839 | − | 0.119459i | \(-0.0381159\pi\) |
−0.399190 | + | 0.916868i | \(0.630709\pi\) | |||||||
\(912\) | −49.2636 | + | 21.3836i | −1.63128 | + | 0.708082i | ||||
\(913\) | −2.61893 | + | 0.620698i | −0.0866739 | + | 0.0205421i | ||||
\(914\) | 6.99126 | + | 16.2076i | 0.231250 | + | 0.536098i | ||||
\(915\) | −0.0327582 | − | 0.274828i | −0.00108295 | − | 0.00908554i | ||||
\(916\) | −0.982127 | − | 0.645955i | −0.0324504 | − | 0.0213430i | ||||
\(917\) | 11.0743 | − | 19.1813i | 0.365707 | − | 0.633422i | ||||
\(918\) | −6.55502 | + | 10.1165i | −0.216348 | + | 0.333894i | ||||
\(919\) | −13.6334 | − | 23.6138i | −0.449725 | − | 0.778947i | 0.548642 | − | 0.836057i | \(-0.315145\pi\) |
−0.998368 | + | 0.0571097i | \(0.981812\pi\) | |||||||
\(920\) | 0.0875283 | − | 1.50280i | 0.00288572 | − | 0.0495459i | ||||
\(921\) | 9.51895 | − | 14.5450i | 0.313660 | − | 0.479274i | ||||
\(922\) | −25.5415 | − | 2.98538i | −0.841165 | − | 0.0983181i | ||||
\(923\) | 25.0977 | + | 26.6020i | 0.826101 | + | 0.875616i | ||||
\(924\) | −10.1912 | + | 0.616894i | −0.335267 | + | 0.0202943i | ||||
\(925\) | −14.3783 | + | 1.68059i | −0.472756 | + | 0.0552573i | ||||
\(926\) | −5.41522 | − | 4.54391i | −0.177955 | − | 0.149322i | ||||
\(927\) | 6.10795 | + | 1.41822i | 0.200611 | + | 0.0465805i | ||||
\(928\) | −11.4161 | + | 9.57923i | −0.374751 | + | 0.314454i | ||||
\(929\) | 29.5198 | − | 31.2892i | 0.968514 | − | 1.02657i | −0.0311198 | − | 0.999516i | \(-0.509907\pi\) |
0.999634 | − | 0.0270495i | \(-0.00861118\pi\) | |||||||
\(930\) | 0.0621802 | + | 0.0108179i | 0.00203897 | + | 0.000354733i | ||||
\(931\) | −53.3887 | − | 26.8128i | −1.74974 | − | 0.878754i | ||||
\(932\) | −4.91423 | − | 2.46802i | −0.160971 | − | 0.0808427i | ||||
\(933\) | −16.0657 | − | 43.8290i | −0.525968 | − | 1.43490i | ||||
\(934\) | −35.9319 | + | 38.0856i | −1.17573 | + | 1.24620i | ||||
\(935\) | 2.24168 | − | 1.88099i | 0.0733108 | − | 0.0615151i | ||||
\(936\) | −1.24786 | + | 23.2512i | −0.0407875 | + | 0.759989i | ||||
\(937\) | 36.7580 | + | 30.8436i | 1.20083 | + | 1.00762i | 0.999606 | + | 0.0280726i | \(0.00893697\pi\) |
0.201226 | + | 0.979545i | \(0.435507\pi\) | |||||||
\(938\) | −33.6097 | + | 3.92841i | −1.09739 | + | 0.128267i | ||||
\(939\) | −10.0838 | + | 20.1932i | −0.329072 | + | 0.658979i | ||||
\(940\) | −0.638715 | − | 0.676999i | −0.0208326 | − | 0.0220813i | ||||
\(941\) | −28.9644 | − | 3.38545i | −0.944212 | − | 0.110363i | −0.369966 | − | 0.929045i | \(-0.620631\pi\) |
−0.574246 | + | 0.818683i | \(0.694705\pi\) | |||||||
\(942\) | −22.3974 | − | 1.25326i | −0.729746 | − | 0.0408334i | ||||
\(943\) | −0.409868 | + | 7.03717i | −0.0133471 | + | 0.229162i | ||||
\(944\) | −3.22871 | − | 5.59229i | −0.105086 | − | 0.182014i | ||||
\(945\) | −10.3742 | + | 1.90252i | −0.337474 | + | 0.0618890i | ||||
\(946\) | 0.704316 | − | 1.21991i | 0.0228993 | − | 0.0396628i | ||||
\(947\) | 43.5980 | + | 28.6749i | 1.41675 | + | 0.931809i | 0.999738 | + | 0.0229060i | \(0.00729185\pi\) |
0.417009 | + | 0.908903i | \(0.363079\pi\) | |||||||
\(948\) | −8.60161 | − | 3.68713i | −0.279367 | − | 0.119752i | ||||
\(949\) | 19.1877 | + | 44.4822i | 0.622860 | + | 1.44395i | ||||
\(950\) | 47.7928 | − | 11.3271i | 1.55060 | − | 0.367499i | ||||
\(951\) | 13.2122 | + | 9.78936i | 0.428434 | + | 0.317442i | ||||
\(952\) | −8.91782 | − | 11.9787i | −0.289028 | − | 0.388232i | ||||
\(953\) | 10.4942 | − | 3.81957i | 0.339940 | − | 0.123728i | −0.166409 | − | 0.986057i | \(-0.553217\pi\) |
0.506349 | + | 0.862329i | \(0.330995\pi\) | |||||||
\(954\) | −31.8148 | − | 54.5290i | −1.03004 | − | 1.76544i | ||||
\(955\) | −6.19342 | − | 2.25422i | −0.200414 | − | 0.0729449i | ||||
\(956\) | 0.879770 | + | 2.93864i | 0.0284538 | + | 0.0950423i | ||||
\(957\) | 39.7666 | + | 22.8385i | 1.28547 | + | 0.738265i | ||||
\(958\) | −0.779886 | − | 13.3901i | −0.0251970 | − | 0.432615i | ||||
\(959\) | −9.94228 | + | 6.53914i | −0.321053 | + | 0.211160i | ||||
\(960\) | −3.36189 | − | 3.98805i | −0.108505 | − | 0.128714i | ||||
\(961\) | −30.1623 | − | 7.14860i | −0.972977 | − | 0.230600i | ||||
\(962\) | −2.54981 | − | 14.4607i | −0.0822093 | − | 0.466232i | ||||
\(963\) | −4.15502 | + | 2.76003i | −0.133894 | + | 0.0889407i | ||||
\(964\) | 0.242913 | − | 1.37763i | 0.00782369 | − | 0.0443703i | ||||
\(965\) | −3.64427 | + | 8.44837i | −0.117313 | + | 0.271963i | ||||
\(966\) | −2.94782 | − | 12.3127i | −0.0948446 | − | 0.396153i | ||||
\(967\) | −15.2140 | + | 50.8183i | −0.489249 | + | 1.63421i | 0.255462 | + | 0.966819i | \(0.417772\pi\) |
−0.744711 | + | 0.667387i | \(0.767413\pi\) | |||||||
\(968\) | −5.44580 | + | 7.31498i | −0.175035 | + | 0.235112i | ||||
\(969\) | 3.98476 | − | 16.9855i | 0.128009 | − | 0.545654i | ||||
\(970\) | 9.13957 | − | 4.59007i | 0.293454 | − | 0.147378i | ||||
\(971\) | −45.0507 | −1.44575 | −0.722873 | − | 0.690981i | \(-0.757179\pi\) | ||||
−0.722873 | + | 0.690981i | \(0.757179\pi\) | |||||||
\(972\) | −1.32090 | + | 5.87083i | −0.0423680 | + | 0.188307i | ||||
\(973\) | −23.5068 | −0.753592 | ||||||||
\(974\) | −29.4616 | + | 14.7962i | −0.944012 | + | 0.474100i | ||||
\(975\) | 5.83895 | − | 24.8893i | 0.186996 | − | 0.797094i | ||||
\(976\) | 0.866820 | − | 1.16434i | 0.0277462 | − | 0.0372697i | ||||
\(977\) | 15.8200 | − | 52.8426i | 0.506127 | − | 1.69058i | −0.197742 | − | 0.980254i | \(-0.563361\pi\) |
0.703870 | − | 0.710329i | \(-0.251454\pi\) | |||||||
\(978\) | 1.89708 | + | 7.92383i | 0.0606618 | + | 0.253376i | ||||
\(979\) | −17.5459 | + | 40.6759i | −0.560769 | + | 1.30001i | ||||
\(980\) | −0.303886 | + | 1.72342i | −0.00970728 | + | 0.0550527i | ||||
\(981\) | 0.808720 | + | 12.8735i | 0.0258204 | + | 0.411018i | ||||
\(982\) | 1.13063 | + | 6.41214i | 0.0360800 | + | 0.204620i | ||||
\(983\) | −37.8649 | − | 8.97416i | −1.20770 | − | 0.286231i | −0.423016 | − | 0.906122i | \(-0.639029\pi\) |
−0.784688 | + | 0.619891i | \(0.787177\pi\) | |||||||
\(984\) | 16.5356 | + | 19.6154i | 0.527137 | + | 0.625316i | ||||
\(985\) | 4.14911 | − | 2.72891i | 0.132202 | − | 0.0869504i | ||||
\(986\) | −0.932826 | − | 16.0160i | −0.0297072 | − | 0.510053i | ||||
\(987\) | 28.3808 | + | 16.2995i | 0.903370 | + | 0.518818i | ||||
\(988\) | 2.31175 | + | 7.72178i | 0.0735465 | + | 0.245662i | ||||
\(989\) | 0.265559 | + | 0.0966555i | 0.00844428 | + | 0.00307347i | ||||
\(990\) | 4.47888 | − | 7.84000i | 0.142348 | − | 0.249172i | ||||
\(991\) | −7.91069 | + | 2.87925i | −0.251291 | + | 0.0914625i | −0.464595 | − | 0.885523i | \(-0.653800\pi\) |
0.213303 | + | 0.976986i | \(0.431578\pi\) | |||||||
\(992\) | 0.0596498 | + | 0.0801235i | 0.00189388 | + | 0.00254392i | ||||
\(993\) | −32.7239 | − | 24.2463i | −1.03846 | − | 0.769433i | ||||
\(994\) | −70.4234 | + | 16.6906i | −2.23369 | + | 0.529395i | ||||
\(995\) | 1.67213 | + | 3.87642i | 0.0530099 | + | 0.122891i | ||||
\(996\) | 0.432021 | + | 0.185189i | 0.0136891 | + | 0.00586792i | ||||
\(997\) | 40.8278 | + | 26.8528i | 1.29303 | + | 0.850438i | 0.994579 | − | 0.103987i | \(-0.0331601\pi\) |
0.298450 | + | 0.954425i | \(0.403530\pi\) | |||||||
\(998\) | −23.4983 | + | 40.7003i | −0.743827 | + | 1.28835i | ||||
\(999\) | 0.108537 | + | 15.8656i | 0.00343397 | + | 0.501966i |
(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 | 81.2.g.a.25.7 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.73.2 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.703.7 | 144 | |||
9.4 | even | 3 | 729.2.g.d.217.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.217.7 | 144 | |||
9.7 | even | 3 | 729.2.g.c.703.2 | 144 | |||
81.13 | even | 27 | inner | 81.2.g.a.13.7 | ✓ | 144 | |
81.14 | odd | 54 | 729.2.g.a.514.7 | 144 | |||
81.16 | even | 27 | 6561.2.a.c.1.56 | 72 | |||
81.40 | even | 27 | 729.2.g.c.28.2 | 144 | |||
81.41 | odd | 54 | 729.2.g.b.28.7 | 144 | |||
81.65 | odd | 54 | 6561.2.a.d.1.17 | 72 | |||
81.67 | even | 27 | 729.2.g.d.514.2 | 144 | |||
81.68 | odd | 54 | 243.2.g.a.10.2 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.7 | ✓ | 144 | 81.13 | even | 27 | inner | |
81.2.g.a.25.7 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.10.2 | 144 | 81.68 | odd | 54 | |||
243.2.g.a.73.2 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.217.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.514.7 | 144 | 81.14 | odd | 54 | |||
729.2.g.b.28.7 | 144 | 81.41 | odd | 54 | |||
729.2.g.b.703.7 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.28.2 | 144 | 81.40 | even | 27 | |||
729.2.g.c.703.2 | 144 | 9.7 | even | 3 | |||
729.2.g.d.217.2 | 144 | 9.4 | even | 3 | |||
729.2.g.d.514.2 | 144 | 81.67 | even | 27 | |||
6561.2.a.c.1.56 | 72 | 81.16 | even | 27 | |||
6561.2.a.d.1.17 | 72 | 81.65 | odd | 54 |