Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(2,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 273.2 |
Dual form | 273.2.bv.b.137.2 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.81876 | − | 1.81876i | −1.28606 | − | 1.28606i | −0.937160 | − | 0.348900i | \(-0.886555\pi\) |
−0.348900 | − | 0.937160i | \(-0.613445\pi\) | |||||||
\(3\) | −0.267828 | − | 1.71122i | −0.154630 | − | 0.987972i | ||||
\(4\) | 4.61580i | 2.30790i | ||||||||
\(5\) | 2.15482 | − | 0.577382i | 0.963664 | − | 0.258213i | 0.257513 | − | 0.966275i | \(-0.417097\pi\) |
0.706150 | + | 0.708062i | \(0.250430\pi\) | |||||||
\(6\) | −2.62519 | + | 3.59942i | −1.07173 | + | 1.46946i | ||||
\(7\) | 1.30976 | − | 2.29881i | 0.495044 | − | 0.868868i | ||||
\(8\) | 4.75753 | − | 4.75753i | 1.68204 | − | 1.68204i | ||||
\(9\) | −2.85654 | + | 0.916623i | −0.952179 | + | 0.305541i | ||||
\(10\) | −4.96923 | − | 2.86898i | −1.57141 | − | 0.907252i | ||||
\(11\) | −0.522330 | − | 1.94936i | −0.157488 | − | 0.587755i | −0.998879 | − | 0.0473281i | \(-0.984929\pi\) |
0.841391 | − | 0.540427i | \(-0.181737\pi\) | |||||||
\(12\) | 7.89865 | − | 1.23624i | 2.28014 | − | 0.356872i | ||||
\(13\) | −2.06988 | − | 2.95222i | −0.574081 | − | 0.818799i | ||||
\(14\) | −6.56314 | + | 1.79884i | −1.75407 | + | 0.480759i | ||||
\(15\) | −1.56515 | − | 3.53273i | −0.404119 | − | 0.912146i | ||||
\(16\) | −8.07403 | −2.01851 | ||||||||
\(17\) | 4.13836 | 1.00370 | 0.501850 | − | 0.864955i | \(-0.332653\pi\) | ||||
0.501850 | + | 0.864955i | \(0.332653\pi\) | |||||||
\(18\) | 6.86249 | + | 3.52824i | 1.61750 | + | 0.831615i | ||||
\(19\) | −3.27388 | − | 0.877234i | −0.751080 | − | 0.201251i | −0.137083 | − | 0.990560i | \(-0.543773\pi\) |
−0.613997 | + | 0.789308i | \(0.710439\pi\) | |||||||
\(20\) | 2.66508 | + | 9.94621i | 0.595930 | + | 2.22404i | ||||
\(21\) | −4.28455 | − | 1.62561i | −0.934966 | − | 0.354737i | ||||
\(22\) | −2.59544 | + | 4.49543i | −0.553349 | + | 0.958428i | ||||
\(23\) | 0.206714 | 0.0431029 | 0.0215514 | − | 0.999768i | \(-0.493139\pi\) | ||||
0.0215514 | + | 0.999768i | \(0.493139\pi\) | |||||||
\(24\) | −9.41537 | − | 6.86697i | −1.92190 | − | 1.40171i | ||||
\(25\) | −0.0202570 | + | 0.0116954i | −0.00405140 | + | 0.00233908i | ||||
\(26\) | −1.60477 | + | 9.13401i | −0.314722 | + | 1.79133i | ||||
\(27\) | 2.33360 | + | 4.64266i | 0.449102 | + | 0.893481i | ||||
\(28\) | 10.6108 | + | 6.04561i | 2.00526 | + | 1.14251i | ||||
\(29\) | −4.46063 | + | 2.57534i | −0.828318 | + | 0.478229i | −0.853276 | − | 0.521459i | \(-0.825388\pi\) |
0.0249587 | + | 0.999688i | \(0.492055\pi\) | |||||||
\(30\) | −3.57856 | + | 9.27182i | −0.653353 | + | 1.69280i | ||||
\(31\) | 8.41699 | + | 2.25533i | 1.51174 | + | 0.405068i | 0.917011 | − | 0.398861i | \(-0.130594\pi\) |
0.594725 | + | 0.803929i | \(0.297261\pi\) | |||||||
\(32\) | 5.16970 | + | 5.16970i | 0.913882 | + | 0.913882i | ||||
\(33\) | −3.19589 | + | 1.41591i | −0.556333 | + | 0.246479i | ||||
\(34\) | −7.52670 | − | 7.52670i | −1.29082 | − | 1.29082i | ||||
\(35\) | 1.49501 | − | 5.70975i | 0.252703 | − | 0.965123i | ||||
\(36\) | −4.23095 | − | 13.1852i | −0.705159 | − | 2.19754i | ||||
\(37\) | 4.00523 | + | 4.00523i | 0.658455 | + | 0.658455i | 0.955014 | − | 0.296559i | \(-0.0958393\pi\) |
−0.296559 | + | 0.955014i | \(0.595839\pi\) | |||||||
\(38\) | 4.35893 | + | 7.54990i | 0.707112 | + | 1.22475i | ||||
\(39\) | −4.49752 | + | 4.33270i | −0.720180 | + | 0.693787i | ||||
\(40\) | 7.50470 | − | 12.9985i | 1.18660 | − | 2.05525i | ||||
\(41\) | −1.99456 | + | 7.44381i | −0.311498 | + | 1.16253i | 0.615707 | + | 0.787975i | \(0.288870\pi\) |
−0.927206 | + | 0.374553i | \(0.877796\pi\) | |||||||
\(42\) | 4.83599 | + | 10.7492i | 0.746210 | + | 1.65864i | ||||
\(43\) | −8.56160 | − | 4.94304i | −1.30563 | − | 0.753807i | −0.324268 | − | 0.945965i | \(-0.605118\pi\) |
−0.981364 | + | 0.192158i | \(0.938451\pi\) | |||||||
\(44\) | 8.99788 | − | 2.41097i | 1.35648 | − | 0.363468i | ||||
\(45\) | −5.62607 | + | 3.62447i | −0.838686 | + | 0.540304i | ||||
\(46\) | −0.375964 | − | 0.375964i | −0.0554329 | − | 0.0554329i | ||||
\(47\) | −2.71889 | − | 10.1470i | −0.396590 | − | 1.48010i | −0.819054 | − | 0.573716i | \(-0.805501\pi\) |
0.422464 | − | 0.906380i | \(-0.361165\pi\) | |||||||
\(48\) | 2.16245 | + | 13.8164i | 0.312123 | + | 1.99423i | ||||
\(49\) | −3.56904 | − | 6.02179i | −0.509862 | − | 0.860256i | ||||
\(50\) | 0.0581138 | + | 0.0155715i | 0.00821853 | + | 0.00220215i | ||||
\(51\) | −1.10837 | − | 7.08163i | −0.155202 | − | 0.991627i | ||||
\(52\) | 13.6269 | − | 9.55415i | 1.88971 | − | 1.32492i | ||||
\(53\) | 3.05253 | − | 1.76238i | 0.419297 | − | 0.242081i | −0.275480 | − | 0.961307i | \(-0.588837\pi\) |
0.694776 | + | 0.719226i | \(0.255503\pi\) | |||||||
\(54\) | 4.19963 | − | 12.6882i | 0.571498 | − | 1.72664i | ||||
\(55\) | −2.25105 | − | 3.89894i | −0.303532 | − | 0.525733i | ||||
\(56\) | −4.70540 | − | 17.1679i | −0.628786 | − | 2.29415i | ||||
\(57\) | −0.624303 | + | 5.83727i | −0.0826909 | + | 0.773165i | ||||
\(58\) | 12.7968 | + | 3.42888i | 1.68030 | + | 0.450234i | ||||
\(59\) | 5.02180 | − | 5.02180i | 0.653783 | − | 0.653783i | −0.300119 | − | 0.953902i | \(-0.597026\pi\) |
0.953902 | + | 0.300119i | \(0.0970264\pi\) | |||||||
\(60\) | 16.3064 | − | 7.22440i | 2.10514 | − | 0.932667i | ||||
\(61\) | −1.71972 | − | 2.97865i | −0.220188 | − | 0.381377i | 0.734677 | − | 0.678417i | \(-0.237334\pi\) |
−0.954865 | + | 0.297040i | \(0.904000\pi\) | |||||||
\(62\) | −11.2066 | − | 19.4104i | −1.42324 | − | 2.46513i | ||||
\(63\) | −1.63425 | + | 7.76719i | −0.205896 | + | 0.978574i | ||||
\(64\) | − | 2.65686i | − | 0.332107i | ||||||
\(65\) | −6.16477 | − | 5.16639i | −0.764645 | − | 0.640811i | ||||
\(66\) | 8.38778 | + | 3.23736i | 1.03246 | + | 0.398491i | ||||
\(67\) | 2.03804 | + | 7.60608i | 0.248987 | + | 0.929231i | 0.971338 | + | 0.237704i | \(0.0763949\pi\) |
−0.722351 | + | 0.691527i | \(0.756938\pi\) | |||||||
\(68\) | 19.1018i | 2.31644i | ||||||||
\(69\) | −0.0553638 | − | 0.353733i | −0.00666501 | − | 0.0425845i | ||||
\(70\) | −13.1038 | + | 7.66560i | −1.56620 | + | 0.916215i | ||||
\(71\) | 12.4429 | − | 3.33406i | 1.47670 | − | 0.395680i | 0.571477 | − | 0.820618i | \(-0.306371\pi\) |
0.905223 | + | 0.424938i | \(0.139704\pi\) | |||||||
\(72\) | −9.22919 | + | 17.9509i | −1.08767 | + | 2.11554i | ||||
\(73\) | −2.33611 | + | 8.71849i | −0.273421 | + | 1.02042i | 0.683471 | + | 0.729978i | \(0.260470\pi\) |
−0.956892 | + | 0.290444i | \(0.906197\pi\) | |||||||
\(74\) | − | 14.5691i | − | 1.69363i | ||||||
\(75\) | 0.0254387 | + | 0.0315318i | 0.00293741 | + | 0.00364098i | ||||
\(76\) | 4.04914 | − | 15.1116i | 0.464468 | − | 1.73342i | ||||
\(77\) | −5.16534 | − | 1.35247i | −0.588645 | − | 0.154128i | ||||
\(78\) | 16.0601 | + | 0.299776i | 1.81845 | + | 0.0339429i | ||||
\(79\) | 3.35616 | − | 5.81304i | 0.377598 | − | 0.654019i | −0.613114 | − | 0.789994i | \(-0.710084\pi\) |
0.990712 | + | 0.135976i | \(0.0434169\pi\) | |||||||
\(80\) | −17.3981 | + | 4.66180i | −1.94516 | + | 0.521205i | ||||
\(81\) | 7.31960 | − | 5.23673i | 0.813289 | − | 0.581859i | ||||
\(82\) | 17.1662 | − | 9.91089i | 1.89569 | − | 1.09448i | ||||
\(83\) | 3.25617 | + | 3.25617i | 0.357411 | + | 0.357411i | 0.862858 | − | 0.505447i | \(-0.168672\pi\) |
−0.505447 | + | 0.862858i | \(0.668672\pi\) | |||||||
\(84\) | 7.50349 | − | 19.7767i | 0.818698 | − | 2.15781i | ||||
\(85\) | 8.91741 | − | 2.38941i | 0.967229 | − | 0.259168i | ||||
\(86\) | 6.58130 | + | 24.5618i | 0.709680 | + | 2.64856i | ||||
\(87\) | 5.60166 | + | 6.94336i | 0.600560 | + | 0.744406i | ||||
\(88\) | −11.7591 | − | 6.78915i | −1.25353 | − | 0.723726i | ||||
\(89\) | 2.01398 | − | 2.01398i | 0.213481 | − | 0.213481i | −0.592263 | − | 0.805745i | \(-0.701765\pi\) |
0.805745 | + | 0.592263i | \(0.201765\pi\) | |||||||
\(90\) | 16.8246 | + | 3.64045i | 1.77346 | + | 0.383737i | ||||
\(91\) | −9.49764 | + | 0.891540i | −0.995623 | + | 0.0934587i | ||||
\(92\) | 0.954152i | 0.0994772i | ||||||||
\(93\) | 1.60505 | − | 15.0073i | 0.166436 | − | 1.55619i | ||||
\(94\) | −13.5100 | + | 23.4001i | −1.39345 | + | 2.41353i | ||||
\(95\) | −7.56111 | −0.775754 | ||||||||
\(96\) | 7.46189 | − | 10.2311i | 0.761576 | − | 1.04420i | ||||
\(97\) | 1.71332 | + | 6.39418i | 0.173961 | + | 0.649231i | 0.996726 | + | 0.0808497i | \(0.0257634\pi\) |
−0.822765 | + | 0.568381i | \(0.807570\pi\) | |||||||
\(98\) | −4.46098 | + | 17.4435i | −0.450627 | + | 1.76205i | ||||
\(99\) | 3.27889 | + | 5.08965i | 0.329540 | + | 0.511529i | ||||
\(100\) | −0.0539836 | − | 0.0935023i | −0.00539836 | − | 0.00935023i | ||||
\(101\) | −0.630078 | + | 1.09133i | −0.0626951 | + | 0.108591i | −0.895669 | − | 0.444721i | \(-0.853303\pi\) |
0.832974 | + | 0.553312i | \(0.186636\pi\) | |||||||
\(102\) | −10.8640 | + | 14.8957i | −1.07569 | + | 1.47489i | ||||
\(103\) | 8.60608 | + | 4.96872i | 0.847982 | + | 0.489583i | 0.859969 | − | 0.510345i | \(-0.170482\pi\) |
−0.0119874 | + | 0.999928i | \(0.503816\pi\) | |||||||
\(104\) | −23.8928 | − | 4.19777i | −2.34288 | − | 0.411625i | ||||
\(105\) | −10.1710 | − | 1.02907i | −0.992591 | − | 0.100427i | ||||
\(106\) | −8.75717 | − | 2.34648i | −0.850571 | − | 0.227910i | ||||
\(107\) | − | 2.11753i | − | 0.204710i | −0.994748 | − | 0.102355i | \(-0.967362\pi\) | ||
0.994748 | − | 0.102355i | \(-0.0326377\pi\) | |||||||
\(108\) | −21.4296 | + | 10.7714i | −2.06207 | + | 1.03648i | ||||
\(109\) | −5.72870 | − | 1.53500i | −0.548710 | − | 0.147026i | −0.0261957 | − | 0.999657i | \(-0.508339\pi\) |
−0.522515 | + | 0.852630i | \(0.675006\pi\) | |||||||
\(110\) | −2.99711 | + | 11.1854i | −0.285764 | + | 1.06648i | ||||
\(111\) | 5.78111 | − | 7.92652i | 0.548718 | − | 0.752352i | ||||
\(112\) | −10.5751 | + | 18.5606i | −0.999251 | + | 1.75382i | ||||
\(113\) | −4.48850 | − | 2.59143i | −0.422242 | − | 0.243782i | 0.273794 | − | 0.961788i | \(-0.411721\pi\) |
−0.696036 | + | 0.718007i | \(0.745055\pi\) | |||||||
\(114\) | 11.7521 | − | 9.48116i | 1.10068 | − | 0.887992i | ||||
\(115\) | 0.445431 | − | 0.119353i | 0.0415367 | − | 0.0111297i | ||||
\(116\) | −11.8873 | − | 20.5894i | −1.10371 | − | 1.91168i | ||||
\(117\) | 8.61876 | + | 6.53583i | 0.796804 | + | 0.604238i | ||||
\(118\) | −18.2669 | −1.68161 | ||||||||
\(119\) | 5.42027 | − | 9.51329i | 0.496876 | − | 0.872082i | ||||
\(120\) | −24.2533 | − | 9.36081i | −2.21401 | − | 0.854521i | ||||
\(121\) | 5.99909 | − | 3.46358i | 0.545372 | − | 0.314871i | ||||
\(122\) | −2.28969 | + | 8.54523i | −0.207298 | + | 0.773648i | ||||
\(123\) | 13.2722 | + | 1.41947i | 1.19671 | + | 0.127990i | ||||
\(124\) | −10.4101 | + | 38.8512i | −0.934858 | + | 3.48894i | ||||
\(125\) | −7.92408 | + | 7.92408i | −0.708751 | + | 0.708751i | ||||
\(126\) | 17.0990 | − | 11.1544i | 1.52330 | − | 0.993710i | ||||
\(127\) | 16.7784 | − | 9.68703i | 1.48884 | − | 0.859585i | 0.488926 | − | 0.872326i | \(-0.337389\pi\) |
0.999919 | + | 0.0127409i | \(0.00405565\pi\) | |||||||
\(128\) | 5.50720 | − | 5.50720i | 0.486772 | − | 0.486772i | ||||
\(129\) | −6.16559 | + | 15.9747i | −0.542850 | + | 1.40649i | ||||
\(130\) | 1.81582 | + | 20.6087i | 0.159258 | + | 1.80750i | ||||
\(131\) | 8.64523 | + | 4.99133i | 0.755338 | + | 0.436094i | 0.827619 | − | 0.561290i | \(-0.189695\pi\) |
−0.0722816 | + | 0.997384i | \(0.523028\pi\) | |||||||
\(132\) | −6.53558 | − | 14.7516i | −0.568849 | − | 1.28396i | ||||
\(133\) | −6.30460 | + | 6.37705i | −0.546678 | + | 0.552961i | ||||
\(134\) | 10.1269 | − | 17.5404i | 0.874835 | − | 1.51526i | ||||
\(135\) | 7.70907 | + | 8.65671i | 0.663491 | + | 0.745051i | ||||
\(136\) | 19.6884 | − | 19.6884i | 1.68826 | − | 1.68826i | ||||
\(137\) | 16.1897 | − | 16.1897i | 1.38318 | − | 1.38318i | 0.544269 | − | 0.838911i | \(-0.316807\pi\) |
0.838911 | − | 0.544269i | \(-0.183193\pi\) | |||||||
\(138\) | −0.542663 | + | 0.744051i | −0.0461946 | + | 0.0633378i | ||||
\(139\) | −1.32414 | + | 2.29348i | −0.112312 | + | 0.194530i | −0.916702 | − | 0.399571i | \(-0.869159\pi\) |
0.804390 | + | 0.594102i | \(0.202492\pi\) | |||||||
\(140\) | 26.3551 | + | 6.90069i | 2.22741 | + | 0.583215i | ||||
\(141\) | −16.6356 | + | 7.37026i | −1.40097 | + | 0.620688i | ||||
\(142\) | −28.6946 | − | 16.5668i | −2.40799 | − | 1.39026i | ||||
\(143\) | −4.67379 | + | 5.57698i | −0.390842 | + | 0.466370i | ||||
\(144\) | 23.0638 | − | 7.40084i | 1.92198 | − | 0.616737i | ||||
\(145\) | −8.12488 | + | 8.12488i | −0.674735 | + | 0.674735i | ||||
\(146\) | 20.1057 | − | 11.6080i | 1.66396 | − | 0.960688i | ||||
\(147\) | −9.34872 | + | 7.72020i | −0.771069 | + | 0.636752i | ||||
\(148\) | −18.4873 | + | 18.4873i | −1.51965 | + | 1.51965i | ||||
\(149\) | 0.605460 | − | 2.25961i | 0.0496012 | − | 0.185114i | −0.936680 | − | 0.350185i | \(-0.886119\pi\) |
0.986282 | + | 0.165071i | \(0.0527853\pi\) | |||||||
\(150\) | 0.0110818 | − | 0.103616i | 0.000904828 | − | 0.00846020i | ||||
\(151\) | 2.72964 | − | 10.1871i | 0.222135 | − | 0.829018i | −0.761398 | − | 0.648285i | \(-0.775486\pi\) |
0.983532 | − | 0.180733i | \(-0.0578468\pi\) | |||||||
\(152\) | −19.7490 | + | 11.4021i | −1.60186 | + | 0.924833i | ||||
\(153\) | −11.8214 | + | 3.79331i | −0.955701 | + | 0.306671i | ||||
\(154\) | 6.93471 | + | 11.8544i | 0.558815 | + | 0.955251i | ||||
\(155\) | 19.4393 | 1.56140 | ||||||||
\(156\) | −19.9989 | − | 20.7597i | −1.60119 | − | 1.66210i | ||||
\(157\) | −1.97073 | − | 3.41340i | −0.157281 | − | 0.272419i | 0.776606 | − | 0.629986i | \(-0.216940\pi\) |
−0.933887 | + | 0.357567i | \(0.883606\pi\) | |||||||
\(158\) | −16.6766 | + | 4.46849i | −1.32672 | + | 0.355494i | ||||
\(159\) | −3.83336 | − | 4.75152i | −0.304005 | − | 0.376820i | ||||
\(160\) | 14.1246 | + | 8.15487i | 1.11665 | + | 0.644699i | ||||
\(161\) | 0.270747 | − | 0.475196i | 0.0213378 | − | 0.0374507i | ||||
\(162\) | −22.8370 | − | 3.78825i | −1.79425 | − | 0.297633i | ||||
\(163\) | 2.61176 | − | 9.74724i | 0.204569 | − | 0.763462i | −0.785011 | − | 0.619481i | \(-0.787343\pi\) |
0.989580 | − | 0.143981i | \(-0.0459904\pi\) | |||||||
\(164\) | −34.3592 | − | 9.20651i | −2.68300 | − | 0.718908i | ||||
\(165\) | −6.06904 | + | 4.89629i | −0.472474 | + | 0.381175i | ||||
\(166\) | − | 11.8444i | − | 0.919304i | ||||||
\(167\) | −9.82741 | − | 2.63325i | −0.760468 | − | 0.203767i | −0.142312 | − | 0.989822i | \(-0.545454\pi\) |
−0.618156 | + | 0.786055i | \(0.712120\pi\) | |||||||
\(168\) | −28.1178 | + | 12.6500i | −2.16933 | + | 0.975969i | ||||
\(169\) | −4.43121 | + | 12.2215i | −0.340862 | + | 0.940113i | ||||
\(170\) | −20.5644 | − | 11.8729i | −1.57722 | − | 0.910608i | ||||
\(171\) | 10.1561 | − | 0.495064i | 0.776653 | − | 0.0378585i | ||||
\(172\) | 22.8161 | − | 39.5187i | 1.73971 | − | 3.01327i | ||||
\(173\) | 3.28119 | + | 5.68318i | 0.249464 | + | 0.432084i | 0.963377 | − | 0.268150i | \(-0.0864123\pi\) |
−0.713913 | + | 0.700234i | \(0.753079\pi\) | |||||||
\(174\) | 2.44024 | − | 22.8164i | 0.184994 | − | 1.72971i | ||||
\(175\) | 0.000353550 | 0.0618851i | 2.67259e−5 | 0.00467808i | ||||||
\(176\) | 4.21731 | + | 15.7392i | 0.317892 | + | 1.18639i | ||||
\(177\) | −9.93838 | − | 7.24842i | −0.747014 | − | 0.544825i | ||||
\(178\) | −7.32591 | −0.549100 | ||||||||
\(179\) | −12.7847 | + | 22.1438i | −0.955576 | + | 1.65511i | −0.222533 | + | 0.974925i | \(0.571432\pi\) |
−0.733044 | + | 0.680182i | \(0.761901\pi\) | |||||||
\(180\) | −16.7298 | − | 25.9689i | −1.24697 | − | 1.93560i | ||||
\(181\) | 14.6937i | 1.09217i | 0.837729 | + | 0.546086i | \(0.183883\pi\) | ||||
−0.837729 | + | 0.546086i | \(0.816117\pi\) | |||||||
\(182\) | 18.8955 | + | 15.6525i | 1.40062 | + | 1.16024i | ||||
\(183\) | −4.63653 | + | 3.74059i | −0.342742 | + | 0.276512i | ||||
\(184\) | 0.983448 | − | 0.983448i | 0.0725008 | − | 0.0725008i | ||||
\(185\) | 10.9431 | + | 6.31799i | 0.804551 | + | 0.464508i | ||||
\(186\) | −30.2140 | + | 24.3756i | −2.21540 | + | 1.78731i | ||||
\(187\) | −2.16159 | − | 8.06716i | −0.158071 | − | 0.589929i | ||||
\(188\) | 46.8367 | − | 12.5498i | 3.41591 | − | 0.915292i | ||||
\(189\) | 13.7291 | + | 0.716289i | 0.998642 | + | 0.0521024i | ||||
\(190\) | 13.7519 | + | 13.7519i | 0.997666 | + | 0.997666i | ||||
\(191\) | −6.47344 | + | 3.73744i | −0.468402 | + | 0.270432i | −0.715570 | − | 0.698541i | \(-0.753833\pi\) |
0.247169 | + | 0.968972i | \(0.420500\pi\) | |||||||
\(192\) | −4.54647 | + | 0.711580i | −0.328113 | + | 0.0513539i | ||||
\(193\) | 25.5926 | − | 6.85750i | 1.84219 | − | 0.493614i | 0.843163 | − | 0.537658i | \(-0.180691\pi\) |
0.999030 | + | 0.0440443i | \(0.0140243\pi\) | |||||||
\(194\) | 8.51339 | − | 14.7456i | 0.611226 | − | 1.05867i | ||||
\(195\) | −7.18972 | + | 11.9330i | −0.514867 | + | 0.854537i | ||||
\(196\) | 27.7954 | − | 16.4740i | 1.98539 | − | 1.17671i | ||||
\(197\) | 1.16199 | − | 4.33660i | 0.0827882 | − | 0.308970i | −0.912098 | − | 0.409972i | \(-0.865538\pi\) |
0.994886 | + | 0.101003i | \(0.0322050\pi\) | |||||||
\(198\) | 3.29335 | − | 15.2204i | 0.234048 | − | 1.08167i | ||||
\(199\) | 4.29401i | 0.304394i | 0.988350 | + | 0.152197i | \(0.0486348\pi\) | ||||
−0.988350 | + | 0.152197i | \(0.951365\pi\) | |||||||
\(200\) | −0.0407321 | + | 0.152014i | −0.00288019 | + | 0.0107490i | ||||
\(201\) | 12.4698 | − | 5.52466i | 0.879553 | − | 0.389679i | ||||
\(202\) | 3.13083 | − | 0.838903i | 0.220284 | − | 0.0590250i | ||||
\(203\) | 0.0778524 | + | 13.6272i | 0.00546417 | + | 0.956443i | ||||
\(204\) | 32.6874 | − | 5.11600i | 2.28858 | − | 0.358192i | ||||
\(205\) | 17.1917i | 1.20072i | ||||||||
\(206\) | −6.61549 | − | 24.6894i | −0.460923 | − | 1.72019i | ||||
\(207\) | −0.590487 | + | 0.189479i | −0.0410417 | + | 0.0131697i | ||||
\(208\) | 16.7123 | + | 23.8363i | 1.15879 | + | 1.65275i | ||||
\(209\) | 6.84019i | 0.473146i | ||||||||
\(210\) | 16.6271 | + | 20.3703i | 1.14738 | + | 1.40569i | ||||
\(211\) | −1.12076 | − | 1.94121i | −0.0771561 | − | 0.133638i | 0.824866 | − | 0.565329i | \(-0.191251\pi\) |
−0.902022 | + | 0.431690i | \(0.857917\pi\) | |||||||
\(212\) | 8.13478 | + | 14.0899i | 0.558699 | + | 0.967695i | ||||
\(213\) | −9.03786 | − | 20.3996i | −0.619264 | − | 1.39775i | ||||
\(214\) | −3.85129 | + | 3.85129i | −0.263269 | + | 0.263269i | ||||
\(215\) | −21.3027 | − | 5.70804i | −1.45283 | − | 0.389285i | ||||
\(216\) | 33.1898 | + | 10.9854i | 2.25828 | + | 0.747463i | ||||
\(217\) | 16.2088 | − | 16.3951i | 1.10033 | − | 1.11297i | ||||
\(218\) | 7.62735 | + | 13.2110i | 0.516589 | + | 0.894759i | ||||
\(219\) | 15.5449 | + | 1.66255i | 1.05043 | + | 0.112344i | ||||
\(220\) | 17.9967 | − | 10.3904i | 1.21334 | − | 0.700522i | ||||
\(221\) | −8.56590 | − | 12.2173i | −0.576205 | − | 0.821828i | ||||
\(222\) | −24.9309 | + | 3.90201i | −1.67326 | + | 0.261886i | ||||
\(223\) | 14.7307 | + | 3.94708i | 0.986440 | + | 0.264316i | 0.715754 | − | 0.698352i | \(-0.246083\pi\) |
0.270685 | + | 0.962668i | \(0.412750\pi\) | |||||||
\(224\) | 18.6552 | − | 5.11306i | 1.24645 | − | 0.341631i | ||||
\(225\) | 0.0471446 | − | 0.0519763i | 0.00314297 | − | 0.00346509i | ||||
\(226\) | 3.45031 | + | 12.8767i | 0.229511 | + | 0.856547i | ||||
\(227\) | 13.4557 | + | 13.4557i | 0.893084 | + | 0.893084i | 0.994812 | − | 0.101728i | \(-0.0324373\pi\) |
−0.101728 | + | 0.994812i | \(0.532437\pi\) | |||||||
\(228\) | −26.9437 | − | 2.88166i | −1.78439 | − | 0.190842i | ||||
\(229\) | 7.69261 | − | 2.06123i | 0.508342 | − | 0.136210i | 0.00447322 | − | 0.999990i | \(-0.498576\pi\) |
0.503869 | + | 0.863780i | \(0.331909\pi\) | |||||||
\(230\) | −1.02721 | − | 0.593060i | −0.0677322 | − | 0.0391052i | ||||
\(231\) | −0.930949 | + | 9.20125i | −0.0612519 | + | 0.605398i | ||||
\(232\) | −8.96928 | + | 33.4738i | −0.588862 | + | 2.19766i | ||||
\(233\) | −2.92417 | + | 5.06482i | −0.191569 | + | 0.331807i | −0.945770 | − | 0.324836i | \(-0.894691\pi\) |
0.754201 | + | 0.656643i | \(0.228024\pi\) | |||||||
\(234\) | −3.78835 | − | 27.5626i | −0.247652 | − | 1.80182i | ||||
\(235\) | −11.7174 | − | 20.2952i | −0.764360 | − | 1.32391i | ||||
\(236\) | 23.1796 | + | 23.1796i | 1.50887 | + | 1.50887i | ||||
\(237\) | −10.8463 | − | 4.18623i | −0.704540 | − | 0.271925i | ||||
\(238\) | −27.1606 | + | 7.44423i | −1.76056 | + | 0.482538i | ||||
\(239\) | 2.96387 | + | 2.96387i | 0.191717 | + | 0.191717i | 0.796438 | − | 0.604721i | \(-0.206715\pi\) |
−0.604721 | + | 0.796438i | \(0.706715\pi\) | |||||||
\(240\) | 12.6370 | + | 28.5233i | 0.815717 | + | 1.84117i | ||||
\(241\) | 0.413862 | + | 0.413862i | 0.0266592 | + | 0.0266592i | 0.720311 | − | 0.693652i | \(-0.243999\pi\) |
−0.693652 | + | 0.720311i | \(0.743999\pi\) | |||||||
\(242\) | −17.2104 | − | 4.61150i | −1.10632 | − | 0.296439i | ||||
\(243\) | −10.9216 | − | 11.1229i | −0.700620 | − | 0.713534i | ||||
\(244\) | 13.7488 | − | 7.93790i | 0.880180 | − | 0.508172i | ||||
\(245\) | −11.1675 | − | 10.9152i | −0.713465 | − | 0.697345i | ||||
\(246\) | −21.5573 | − | 26.7207i | −1.37444 | − | 1.70365i | ||||
\(247\) | 4.18675 | + | 11.4810i | 0.266396 | + | 0.730517i | ||||
\(248\) | 50.7738 | − | 29.3143i | 3.22414 | − | 1.86146i | ||||
\(249\) | 4.69992 | − | 6.44411i | 0.297845 | − | 0.408379i | ||||
\(250\) | 28.8241 | 1.82299 | ||||||||
\(251\) | −6.29104 | + | 10.8964i | −0.397087 | + | 0.687775i | −0.993365 | − | 0.115003i | \(-0.963312\pi\) |
0.596278 | + | 0.802778i | \(0.296646\pi\) | |||||||
\(252\) | −35.8518 | − | 7.54337i | −2.25845 | − | 0.475188i | ||||
\(253\) | −0.107973 | − | 0.402961i | −0.00678821 | − | 0.0253339i | ||||
\(254\) | −48.1344 | − | 12.8976i | −3.02022 | − | 0.809266i | ||||
\(255\) | −6.47713 | − | 14.6197i | −0.405614 | − | 0.915520i | ||||
\(256\) | −25.3463 | −1.58414 | ||||||||
\(257\) | −2.60150 | −0.162277 | −0.0811387 | − | 0.996703i | \(-0.525856\pi\) | ||||
−0.0811387 | + | 0.996703i | \(0.525856\pi\) | |||||||
\(258\) | 40.2679 | − | 17.8404i | 2.50697 | − | 1.11069i | ||||
\(259\) | 14.4531 | − | 3.96134i | 0.898075 | − | 0.246146i | ||||
\(260\) | 23.8470 | − | 28.4554i | 1.47893 | − | 1.76473i | ||||
\(261\) | 10.3813 | − | 11.4453i | 0.642588 | − | 0.708445i | ||||
\(262\) | −6.64559 | − | 24.8017i | −0.410566 | − | 1.53225i | ||||
\(263\) | −3.85259 | − | 2.22429i | −0.237561 | − | 0.137156i | 0.376494 | − | 0.926419i | \(-0.377129\pi\) |
−0.614055 | + | 0.789263i | \(0.710463\pi\) | |||||||
\(264\) | −8.46829 | + | 21.9408i | −0.521187 | + | 1.35036i | ||||
\(265\) | 5.56007 | − | 5.56007i | 0.341553 | − | 0.341553i | ||||
\(266\) | 23.0649 | − | 0.131770i | 1.41420 | − | 0.00807935i | ||||
\(267\) | −3.98576 | − | 2.90696i | −0.243925 | − | 0.177903i | ||||
\(268\) | −35.1082 | + | 9.40721i | −2.14457 | + | 0.574637i | ||||
\(269\) | 8.26515i | 0.503935i | 0.967736 | + | 0.251968i | \(0.0810776\pi\) | ||||
−0.967736 | + | 0.251968i | \(0.918922\pi\) | |||||||
\(270\) | 1.72353 | − | 29.7655i | 0.104890 | − | 1.81147i | ||||
\(271\) | −11.9655 | − | 11.9655i | −0.726852 | − | 0.726852i | 0.243140 | − | 0.969991i | \(-0.421823\pi\) |
−0.969991 | + | 0.243140i | \(0.921823\pi\) | |||||||
\(272\) | −33.4132 | −2.02597 | ||||||||
\(273\) | 4.06935 | + | 16.0138i | 0.246288 | + | 0.969197i | ||||
\(274\) | −58.8905 | −3.55770 | ||||||||
\(275\) | 0.0333794 | + | 0.0333794i | 0.00201285 | + | 0.00201285i | ||||
\(276\) | 1.63276 | − | 0.255548i | 0.0982808 | − | 0.0153822i | ||||
\(277\) | 13.2726i | 0.797475i | 0.917065 | + | 0.398738i | \(0.130552\pi\) | ||||
−0.917065 | + | 0.398738i | \(0.869448\pi\) | |||||||
\(278\) | 6.57959 | − | 1.76300i | 0.394618 | − | 0.105737i | ||||
\(279\) | −26.1107 | + | 1.27279i | −1.56321 | + | 0.0761997i | ||||
\(280\) | −20.0517 | − | 34.2768i | −1.19832 | − | 2.04843i | ||||
\(281\) | −3.03751 | + | 3.03751i | −0.181203 | + | 0.181203i | −0.791880 | − | 0.610677i | \(-0.790897\pi\) |
0.610677 | + | 0.791880i | \(0.290897\pi\) | |||||||
\(282\) | 43.6610 | + | 16.8514i | 2.59997 | + | 1.00349i | ||||
\(283\) | −8.09383 | − | 4.67298i | −0.481129 | − | 0.277780i | 0.239758 | − | 0.970833i | \(-0.422932\pi\) |
−0.720887 | + | 0.693053i | \(0.756265\pi\) | |||||||
\(284\) | 15.3894 | + | 57.4339i | 0.913191 | + | 3.40808i | ||||
\(285\) | 2.02508 | + | 12.9387i | 0.119955 | + | 0.766423i | ||||
\(286\) | 18.6437 | − | 1.64269i | 1.10243 | − | 0.0971341i | ||||
\(287\) | 14.4995 | + | 14.3348i | 0.855877 | + | 0.846154i | ||||
\(288\) | −19.5061 | − | 10.0288i | −1.14941 | − | 0.590951i | ||||
\(289\) | 0.126010 | 0.00741233 | ||||||||
\(290\) | 29.5545 | 1.73550 | ||||||||
\(291\) | 10.4830 | − | 4.64440i | 0.614522 | − | 0.272259i | ||||
\(292\) | −40.2428 | − | 10.7830i | −2.35503 | − | 0.631029i | ||||
\(293\) | −4.04342 | − | 15.0902i | −0.236219 | − | 0.881582i | −0.977596 | − | 0.210492i | \(-0.932493\pi\) |
0.741376 | − | 0.671089i | \(-0.234173\pi\) | |||||||
\(294\) | 31.0443 | + | 2.96188i | 1.81054 | + | 0.172740i | ||||
\(295\) | 7.92157 | − | 13.7206i | 0.461212 | − | 0.798842i | ||||
\(296\) | 38.1099 | 2.21509 | ||||||||
\(297\) | 7.83132 | − | 6.97404i | 0.454419 | − | 0.404675i | ||||
\(298\) | −5.21088 | + | 3.00850i | −0.301858 | + | 0.174278i | ||||
\(299\) | −0.427873 | − | 0.610266i | −0.0247445 | − | 0.0352926i | ||||
\(300\) | −0.145545 | + | 0.117420i | −0.00840302 | + | 0.00677926i | ||||
\(301\) | −22.5768 | + | 13.2073i | −1.30130 | + | 0.761254i | ||||
\(302\) | −23.4926 | + | 13.5634i | −1.35185 | + | 0.780488i | ||||
\(303\) | 2.03625 | + | 0.785914i | 0.116980 | + | 0.0451496i | ||||
\(304\) | 26.4334 | + | 7.08281i | 1.51606 | + | 0.406227i | ||||
\(305\) | −5.42551 | − | 5.42551i | −0.310664 | − | 0.310664i | ||||
\(306\) | 28.3994 | + | 14.6011i | 1.62349 | + | 0.834692i | ||||
\(307\) | −7.28783 | − | 7.28783i | −0.415938 | − | 0.415938i | 0.467863 | − | 0.883801i | \(-0.345024\pi\) |
−0.883801 | + | 0.467863i | \(0.845024\pi\) | |||||||
\(308\) | 6.24273 | − | 23.8422i | 0.355713 | − | 1.35854i | ||||
\(309\) | 6.19762 | − | 16.0576i | 0.352570 | − | 0.913487i | ||||
\(310\) | −35.3554 | − | 35.3554i | −2.00805 | − | 2.00805i | ||||
\(311\) | 3.48226 | + | 6.03145i | 0.197461 | + | 0.342012i | 0.947704 | − | 0.319149i | \(-0.103397\pi\) |
−0.750244 | + | 0.661161i | \(0.770064\pi\) | |||||||
\(312\) | −0.784155 | + | 42.0100i | −0.0443940 | + | 2.37835i | ||||
\(313\) | −3.82590 | + | 6.62665i | −0.216252 | + | 0.374560i | −0.953659 | − | 0.300889i | \(-0.902717\pi\) |
0.737407 | + | 0.675449i | \(0.236050\pi\) | |||||||
\(314\) | −2.62388 | + | 9.79246i | −0.148074 | + | 0.552620i | ||||
\(315\) | 0.963124 | + | 17.6805i | 0.0542659 | + | 0.996181i | ||||
\(316\) | 26.8319 | + | 15.4914i | 1.50941 | + | 0.871458i | ||||
\(317\) | −21.6868 | + | 5.81095i | −1.21805 | + | 0.326376i | −0.809916 | − | 0.586546i | \(-0.800487\pi\) |
−0.408134 | + | 0.912922i | \(0.633821\pi\) | |||||||
\(318\) | −1.66992 | + | 15.6139i | −0.0936446 | + | 0.875583i | ||||
\(319\) | 7.35020 | + | 7.35020i | 0.411532 | + | 0.411532i | ||||
\(320\) | −1.53402 | − | 5.72505i | −0.0857544 | − | 0.320040i | ||||
\(321\) | −3.62356 | + | 0.567134i | −0.202248 | + | 0.0316543i | ||||
\(322\) | −1.35669 | + | 0.371845i | −0.0756056 | + | 0.0207221i | ||||
\(323\) | −13.5485 | − | 3.63031i | −0.753858 | − | 0.201996i | ||||
\(324\) | 24.1717 | + | 33.7859i | 1.34287 | + | 1.87699i | ||||
\(325\) | 0.0764568 | + | 0.0355951i | 0.00424106 | + | 0.00197446i | ||||
\(326\) | −22.4781 | + | 12.9777i | −1.24495 | + | 0.718770i | ||||
\(327\) | −1.09242 | + | 10.2142i | −0.0604108 | + | 0.564845i | ||||
\(328\) | 25.9249 | + | 44.9033i | 1.43147 | + | 2.47937i | ||||
\(329\) | −26.8872 | − | 7.04001i | −1.48234 | − | 0.388128i | ||||
\(330\) | 19.9433 | + | 2.13296i | 1.09784 | + | 0.117416i | ||||
\(331\) | −2.67886 | − | 0.717798i | −0.147243 | − | 0.0394537i | 0.184445 | − | 0.982843i | \(-0.440951\pi\) |
−0.331688 | + | 0.943389i | \(0.607618\pi\) | |||||||
\(332\) | −15.0298 | + | 15.0298i | −0.824869 | + | 0.824869i | ||||
\(333\) | −15.1124 | − | 7.76979i | −0.828152 | − | 0.425782i | ||||
\(334\) | 13.0845 | + | 22.6630i | 0.715951 | + | 1.24006i | ||||
\(335\) | 8.78322 | + | 15.2130i | 0.479879 | + | 0.831174i | ||||
\(336\) | 34.5936 | + | 13.1252i | 1.88724 | + | 0.716039i | ||||
\(337\) | 18.6984i | 1.01857i | 0.860598 | + | 0.509285i | \(0.170090\pi\) | ||||
−0.860598 | + | 0.509285i | \(0.829910\pi\) | |||||||
\(338\) | 30.2873 | − | 14.1686i | 1.64741 | − | 0.770673i | ||||
\(339\) | −3.23237 | + | 8.37485i | −0.175558 | + | 0.454860i | ||||
\(340\) | 11.0291 | + | 41.1610i | 0.598135 | + | 2.23227i | ||||
\(341\) | − | 17.5858i | − | 0.952324i | ||||||
\(342\) | −19.3719 | − | 17.5711i | −1.04751 | − | 0.950134i | ||||
\(343\) | −18.5175 | + | 0.317400i | −0.999853 | + | 0.0171380i | ||||
\(344\) | −64.2487 | + | 17.2154i | −3.46406 | + | 0.928192i | ||||
\(345\) | −0.323538 | − | 0.730264i | −0.0174187 | − | 0.0393161i | ||||
\(346\) | 4.36866 | − | 16.3041i | 0.234861 | − | 0.876512i | ||||
\(347\) | − | 27.0623i | − | 1.45278i | −0.687284 | − | 0.726389i | \(-0.741197\pi\) | ||
0.687284 | − | 0.726389i | \(-0.258803\pi\) | |||||||
\(348\) | −32.0492 | + | 25.8561i | −1.71802 | + | 1.38603i | ||||
\(349\) | −2.30495 | + | 8.60220i | −0.123381 | + | 0.460465i | −0.999777 | − | 0.0211268i | \(-0.993275\pi\) |
0.876396 | + | 0.481592i | \(0.159941\pi\) | |||||||
\(350\) | 0.111911 | − | 0.113197i | 0.00598192 | − | 0.00605066i | ||||
\(351\) | 8.87589 | − | 16.4990i | 0.473760 | − | 0.880654i | ||||
\(352\) | 7.37733 | − | 12.7779i | 0.393213 | − | 0.681065i | ||||
\(353\) | −4.00457 | + | 1.07302i | −0.213142 | + | 0.0571111i | −0.363810 | − | 0.931473i | \(-0.618524\pi\) |
0.150668 | + | 0.988584i | \(0.451858\pi\) | |||||||
\(354\) | 4.89239 | + | 31.2587i | 0.260028 | + | 1.66138i | ||||
\(355\) | 24.8871 | − | 14.3686i | 1.32087 | − | 0.762606i | ||||
\(356\) | 9.29614 | + | 9.29614i | 0.492694 | + | 0.492694i | ||||
\(357\) | −17.7310 | − | 6.72735i | −0.938425 | − | 0.356049i | ||||
\(358\) | 63.5268 | − | 17.0220i | 3.35750 | − | 0.899638i | ||||
\(359\) | 1.48477 | + | 5.54122i | 0.0783629 | + | 0.292455i | 0.993975 | − | 0.109609i | \(-0.0349598\pi\) |
−0.915612 | + | 0.402063i | \(0.868293\pi\) | |||||||
\(360\) | −9.52270 | + | 44.0097i | −0.501890 | + | 2.31952i | ||||
\(361\) | −6.50573 | − | 3.75608i | −0.342407 | − | 0.197689i | ||||
\(362\) | 26.7243 | − | 26.7243i | 1.40460 | − | 1.40460i | ||||
\(363\) | −7.53366 | − | 9.33812i | −0.395415 | − | 0.490124i | ||||
\(364\) | −4.11517 | − | 43.8392i | −0.215694 | − | 2.29780i | ||||
\(365\) | 20.1356i | 1.05394i | ||||||||
\(366\) | 15.2360 | + | 1.62951i | 0.796398 | + | 0.0851756i | ||||
\(367\) | −4.56210 | + | 7.90179i | −0.238140 | + | 0.412470i | −0.960180 | − | 0.279381i | \(-0.909871\pi\) |
0.722041 | + | 0.691850i | \(0.243204\pi\) | |||||||
\(368\) | −1.66902 | −0.0870035 | ||||||||
\(369\) | −1.12563 | − | 23.0918i | −0.0585977 | − | 1.20211i | ||||
\(370\) | −8.41194 | − | 31.3938i | −0.437316 | − | 1.63209i | ||||
\(371\) | −0.0532765 | − | 9.32547i | −0.00276598 | − | 0.484154i | ||||
\(372\) | 69.2710 | + | 7.40861i | 3.59153 | + | 0.384118i | ||||
\(373\) | 5.77353 | + | 10.0000i | 0.298942 | + | 0.517783i | 0.975894 | − | 0.218244i | \(-0.0700330\pi\) |
−0.676952 | + | 0.736027i | \(0.736700\pi\) | |||||||
\(374\) | −10.7408 | + | 18.6037i | −0.555396 | + | 0.961974i | ||||
\(375\) | 15.6821 | + | 11.4375i | 0.809821 | + | 0.590632i | ||||
\(376\) | −61.2099 | − | 35.3396i | −3.15666 | − | 1.82250i | ||||
\(377\) | 16.8359 | + | 7.83811i | 0.867095 | + | 0.403683i | ||||
\(378\) | −23.6671 | − | 26.2727i | −1.21731 | − | 1.35132i | ||||
\(379\) | −0.755885 | − | 0.202539i | −0.0388272 | − | 0.0104037i | 0.239353 | − | 0.970933i | \(-0.423065\pi\) |
−0.278180 | + | 0.960529i | \(0.589731\pi\) | |||||||
\(380\) | − | 34.9006i | − | 1.79036i | ||||||
\(381\) | −21.0703 | − | 26.1171i | −1.07947 | − | 1.33802i | ||||
\(382\) | 18.5712 | + | 4.97613i | 0.950185 | + | 0.254601i | ||||
\(383\) | −8.77835 | + | 32.7612i | −0.448553 | + | 1.67402i | 0.257830 | + | 0.966190i | \(0.416993\pi\) |
−0.706382 | + | 0.707831i | \(0.749674\pi\) | |||||||
\(384\) | −10.8990 | − | 7.94904i | −0.556187 | − | 0.405648i | ||||
\(385\) | −11.9113 | + | 0.0680491i | −0.607054 | + | 0.00346810i | ||||
\(386\) | −59.0190 | − | 34.0746i | −3.00399 | − | 1.73435i | ||||
\(387\) | 28.9874 | + | 6.27222i | 1.47351 | + | 0.318835i | ||||
\(388\) | −29.5143 | + | 7.90833i | −1.49836 | + | 0.401484i | ||||
\(389\) | 16.5498 | + | 28.6651i | 0.839107 | + | 1.45338i | 0.890642 | + | 0.454705i | \(0.150255\pi\) |
−0.0515349 | + | 0.998671i | \(0.516411\pi\) | |||||||
\(390\) | 34.7796 | − | 8.62684i | 1.76114 | − | 0.436837i | ||||
\(391\) | 0.855457 | 0.0432623 | ||||||||
\(392\) | −45.6286 | − | 11.6691i | −2.30459 | − | 0.589376i | ||||
\(393\) | 6.22582 | − | 16.1307i | 0.314051 | − | 0.813686i | ||||
\(394\) | −10.0006 | + | 5.77386i | −0.503824 | + | 0.290883i | ||||
\(395\) | 3.87557 | − | 14.4638i | 0.195001 | − | 0.727755i | ||||
\(396\) | −23.4928 | + | 15.1347i | −1.18056 | + | 0.760547i | ||||
\(397\) | −6.90693 | + | 25.7770i | −0.346649 | + | 1.29371i | 0.544025 | + | 0.839069i | \(0.316900\pi\) |
−0.890674 | + | 0.454643i | \(0.849767\pi\) | |||||||
\(398\) | 7.80978 | − | 7.80978i | 0.391469 | − | 0.391469i | ||||
\(399\) | 12.6011 | + | 9.08060i | 0.630843 | + | 0.454599i | ||||
\(400\) | 0.163556 | − | 0.0944288i | 0.00817778 | − | 0.00472144i | ||||
\(401\) | −18.1214 | + | 18.1214i | −0.904940 | + | 0.904940i | −0.995858 | − | 0.0909180i | \(-0.971020\pi\) |
0.0909180 | + | 0.995858i | \(0.471020\pi\) | |||||||
\(402\) | −32.7277 | − | 12.6316i | −1.63231 | − | 0.630008i | ||||
\(403\) | −10.7639 | − | 29.5171i | −0.536189 | − | 1.47035i | ||||
\(404\) | −5.03735 | − | 2.90832i | −0.250618 | − | 0.144694i | ||||
\(405\) | 12.7488 | − | 15.5104i | 0.633494 | − | 0.770719i | ||||
\(406\) | 24.6431 | − | 24.9263i | 1.22302 | − | 1.23707i | ||||
\(407\) | 5.71559 | − | 9.89969i | 0.283311 | − | 0.490709i | ||||
\(408\) | −38.9642 | − | 28.4180i | −1.92901 | − | 1.40690i | ||||
\(409\) | −6.67790 | + | 6.67790i | −0.330201 | + | 0.330201i | −0.852663 | − | 0.522462i | \(-0.825014\pi\) |
0.522462 | + | 0.852663i | \(0.325014\pi\) | |||||||
\(410\) | 31.2676 | − | 31.2676i | 1.54420 | − | 1.54420i | ||||
\(411\) | −32.0402 | − | 23.3681i | −1.58042 | − | 1.15266i | ||||
\(412\) | −22.9346 | + | 39.7240i | −1.12991 | + | 1.95706i | ||||
\(413\) | −4.96678 | − | 18.1215i | −0.244399 | − | 0.891702i | ||||
\(414\) | 1.41857 | + | 0.729338i | 0.0697191 | + | 0.0358450i | ||||
\(415\) | 8.89650 | + | 5.13640i | 0.436712 | + | 0.252136i | ||||
\(416\) | 4.56144 | − | 25.9627i | 0.223643 | − | 1.27293i | ||||
\(417\) | 4.27928 | + | 1.65164i | 0.209557 | + | 0.0808809i | ||||
\(418\) | 12.4407 | − | 12.4407i | 0.608494 | − | 0.608494i | ||||
\(419\) | 4.43001 | − | 2.55767i | 0.216420 | − | 0.124950i | −0.387871 | − | 0.921714i | \(-0.626790\pi\) |
0.604292 | + | 0.796763i | \(0.293456\pi\) | |||||||
\(420\) | 4.74997 | − | 46.9475i | 0.231775 | − | 2.29080i | ||||
\(421\) | 12.7780 | − | 12.7780i | 0.622761 | − | 0.622761i | −0.323476 | − | 0.946236i | \(-0.604851\pi\) |
0.946236 | + | 0.323476i | \(0.104851\pi\) | |||||||
\(422\) | −1.49221 | + | 5.56899i | −0.0726395 | + | 0.271094i | ||||
\(423\) | 17.0676 | + | 26.4932i | 0.829855 | + | 1.28814i | ||||
\(424\) | 6.13792 | − | 22.9070i | 0.298084 | − | 1.11246i | ||||
\(425\) | −0.0838307 | + | 0.0483997i | −0.00406639 | + | 0.00234773i | ||||
\(426\) | −20.6642 | + | 53.5397i | −1.00119 | + | 2.59401i | ||||
\(427\) | −9.09977 | + | 0.0519870i | −0.440369 | + | 0.00251583i | ||||
\(428\) | 9.77412 | 0.472450 | ||||||||
\(429\) | 10.7952 | + | 6.50421i | 0.521197 | + | 0.314026i | ||||
\(430\) | 28.3630 | + | 49.1262i | 1.36779 | + | 2.36908i | ||||
\(431\) | 5.28060 | − | 1.41493i | 0.254358 | − | 0.0681549i | −0.129387 | − | 0.991594i | \(-0.541301\pi\) |
0.383745 | + | 0.923439i | \(0.374634\pi\) | |||||||
\(432\) | −18.8416 | − | 37.4850i | −0.906515 | − | 1.80350i | ||||
\(433\) | −1.47716 | − | 0.852841i | −0.0709880 | − | 0.0409849i | 0.464086 | − | 0.885790i | \(-0.346383\pi\) |
−0.535074 | + | 0.844805i | \(0.679716\pi\) | |||||||
\(434\) | −59.2988 | + | 0.338775i | −2.84644 | + | 0.0162617i | ||||
\(435\) | 16.0795 | + | 11.7274i | 0.770954 | + | 0.562285i | ||||
\(436\) | 7.08526 | − | 26.4426i | 0.339323 | − | 1.26637i | ||||
\(437\) | −0.676758 | − | 0.181337i | −0.0323737 | − | 0.00867451i | ||||
\(438\) | −25.2488 | − | 31.2963i | −1.20643 | − | 1.49540i | ||||
\(439\) | 23.9972i | 1.14532i | 0.819791 | + | 0.572662i | \(0.194089\pi\) | ||||
−0.819791 | + | 0.572662i | \(0.805911\pi\) | |||||||
\(440\) | −29.2587 | − | 7.83986i | −1.39486 | − | 0.373751i | ||||
\(441\) | 15.7148 | + | 13.9300i | 0.748324 | + | 0.663334i | ||||
\(442\) | −6.64112 | + | 37.7998i | −0.315886 | + | 1.79795i | ||||
\(443\) | 0.808001 | + | 0.466500i | 0.0383893 | + | 0.0221641i | 0.519072 | − | 0.854731i | \(-0.326278\pi\) |
−0.480683 | + | 0.876895i | \(0.659611\pi\) | |||||||
\(444\) | 36.5873 | + | 26.6844i | 1.73636 | + | 1.26639i | ||||
\(445\) | 3.17693 | − | 5.50260i | 0.150601 | − | 0.260848i | ||||
\(446\) | −19.6128 | − | 33.9704i | −0.928695 | − | 1.60855i | ||||
\(447\) | −4.02884 | − | 0.430889i | −0.190558 | − | 0.0203803i | ||||
\(448\) | −6.10761 | − | 3.47986i | −0.288557 | − | 0.164408i | ||||
\(449\) | 4.78327 | + | 17.8514i | 0.225737 | + | 0.842461i | 0.982108 | + | 0.188318i | \(0.0603036\pi\) |
−0.756371 | + | 0.654142i | \(0.773030\pi\) | |||||||
\(450\) | −0.180277 | + | 0.00878776i | −0.00849836 | + | 0.000414259i | ||||
\(451\) | 15.5525 | 0.732339 | ||||||||
\(452\) | 11.9616 | − | 20.7180i | 0.562624 | − | 0.974493i | ||||
\(453\) | −18.1635 | − | 1.94261i | −0.853395 | − | 0.0912716i | ||||
\(454\) | − | 48.9453i | − | 2.29712i | ||||||
\(455\) | −19.9509 | + | 7.40487i | −0.935314 | + | 0.347146i | ||||
\(456\) | 24.8008 | + | 30.7411i | 1.16141 | + | 1.43958i | ||||
\(457\) | 15.3697 | − | 15.3697i | 0.718966 | − | 0.718966i | −0.249428 | − | 0.968393i | \(-0.580243\pi\) |
0.968393 | + | 0.249428i | \(0.0802425\pi\) | |||||||
\(458\) | −17.7399 | − | 10.2422i | −0.828933 | − | 0.478584i | ||||
\(459\) | 9.65728 | + | 19.2130i | 0.450763 | + | 0.896786i | ||||
\(460\) | 0.550910 | + | 2.05602i | 0.0256863 | + | 0.0958626i | ||||
\(461\) | 30.9016 | − | 8.28006i | 1.43923 | − | 0.385641i | 0.546967 | − | 0.837154i | \(-0.315782\pi\) |
0.892265 | + | 0.451513i | \(0.149116\pi\) | |||||||
\(462\) | 18.4281 | − | 15.0417i | 0.857352 | − | 0.699805i | ||||
\(463\) | −12.5571 | − | 12.5571i | −0.583577 | − | 0.583577i | 0.352307 | − | 0.935884i | \(-0.385397\pi\) |
−0.935884 | + | 0.352307i | \(0.885397\pi\) | |||||||
\(464\) | 36.0152 | − | 20.7934i | 1.67197 | − | 0.965310i | ||||
\(465\) | −5.20637 | − | 33.2648i | −0.241440 | − | 1.54262i | ||||
\(466\) | 14.5301 | − | 3.89333i | 0.673094 | − | 0.180355i | ||||
\(467\) | 12.8038 | − | 22.1769i | 0.592491 | − | 1.02623i | −0.401404 | − | 0.915901i | \(-0.631478\pi\) |
0.993896 | − | 0.110324i | \(-0.0351889\pi\) | |||||||
\(468\) | −30.1681 | + | 39.7825i | −1.39452 | + | 1.83895i | ||||
\(469\) | 20.1543 | + | 5.27710i | 0.930638 | + | 0.243674i | ||||
\(470\) | −15.6009 | + | 58.2233i | −0.719615 | + | 2.68564i | ||||
\(471\) | −5.31326 | + | 4.28655i | −0.244822 | + | 0.197514i | ||||
\(472\) | − | 47.7827i | − | 2.19938i | ||||||
\(473\) | −5.16380 | + | 19.2716i | −0.237432 | + | 0.886108i | ||||
\(474\) | 12.1130 | + | 27.3406i | 0.556369 | + | 1.25579i | ||||
\(475\) | 0.0765785 | − | 0.0205192i | 0.00351366 | − | 0.000941484i | ||||
\(476\) | 43.9115 | + | 25.0189i | 2.01268 | + | 1.14674i | ||||
\(477\) | −7.10422 | + | 7.83231i | −0.325280 | + | 0.358617i | ||||
\(478\) | − | 10.7812i | − | 0.493119i | ||||||
\(479\) | 6.72696 | + | 25.1054i | 0.307363 | + | 1.14709i | 0.930892 | + | 0.365294i | \(0.119031\pi\) |
−0.623529 | + | 0.781800i | \(0.714302\pi\) | |||||||
\(480\) | 10.1718 | − | 26.3545i | 0.464277 | − | 1.20291i | ||||
\(481\) | 3.53398 | − | 20.1146i | 0.161136 | − | 0.917148i | ||||
\(482\) | − | 1.50543i | − | 0.0685706i | ||||||
\(483\) | −0.885678 | − | 0.336036i | −0.0402997 | − | 0.0152902i | ||||
\(484\) | 15.9872 | + | 27.6906i | 0.726691 | + | 1.25866i | ||||
\(485\) | 7.38377 | + | 12.7891i | 0.335280 | + | 0.580721i | ||||
\(486\) | −0.366136 | + | 40.0937i | −0.0166083 | + | 1.81869i | ||||
\(487\) | 3.49259 | − | 3.49259i | 0.158264 | − | 0.158264i | −0.623533 | − | 0.781797i | \(-0.714303\pi\) |
0.781797 | + | 0.623533i | \(0.214303\pi\) | |||||||
\(488\) | −22.3526 | − | 5.98937i | −1.01186 | − | 0.271126i | ||||
\(489\) | −17.3792 | − | 1.85872i | −0.785912 | − | 0.0840542i | ||||
\(490\) | 0.458920 | + | 40.1631i | 0.0207319 | + | 1.81439i | ||||
\(491\) | −4.36111 | − | 7.55366i | −0.196814 | − | 0.340892i | 0.750680 | − | 0.660666i | \(-0.229726\pi\) |
−0.947494 | + | 0.319774i | \(0.896393\pi\) | |||||||
\(492\) | −6.55202 | + | 61.2618i | −0.295388 | + | 2.76189i | ||||
\(493\) | −18.4597 | + | 10.6577i | −0.831382 | + | 0.479999i | ||||
\(494\) | 13.2665 | − | 28.4959i | 0.596888 | − | 1.28209i | ||||
\(495\) | 10.0041 | + | 9.07409i | 0.449650 | + | 0.407850i | ||||
\(496\) | −67.9590 | − | 18.2096i | −3.05145 | − | 0.817634i | ||||
\(497\) | 8.63288 | − | 32.9707i | 0.387238 | − | 1.47894i | ||||
\(498\) | −20.2684 | + | 3.17226i | −0.908247 | + | 0.142152i | ||||
\(499\) | −9.14886 | − | 34.1440i | −0.409559 | − | 1.52850i | −0.795489 | − | 0.605968i | \(-0.792786\pi\) |
0.385929 | − | 0.922528i | \(-0.373881\pi\) | |||||||
\(500\) | −36.5760 | − | 36.5760i | −1.63573 | − | 1.63573i | ||||
\(501\) | −1.87401 | + | 17.5221i | −0.0837245 | + | 0.782830i | ||||
\(502\) | 31.2599 | − | 8.37606i | 1.39520 | − | 0.373842i | ||||
\(503\) | −2.11306 | − | 1.21998i | −0.0942169 | − | 0.0543962i | 0.452151 | − | 0.891941i | \(-0.350657\pi\) |
−0.546368 | + | 0.837545i | \(0.683990\pi\) | |||||||
\(504\) | 29.1776 | + | 44.7276i | 1.29967 | + | 1.99233i | ||||
\(505\) | −0.727591 | + | 2.71541i | −0.0323774 | + | 0.120834i | ||||
\(506\) | −0.536513 | + | 0.929268i | −0.0238509 | + | 0.0413110i | ||||
\(507\) | 22.1004 | + | 4.30952i | 0.981514 | + | 0.191393i | ||||
\(508\) | 44.7134 | + | 77.4459i | 1.98384 | + | 3.43611i | ||||
\(509\) | −21.4145 | − | 21.4145i | −0.949182 | − | 0.949182i | 0.0495873 | − | 0.998770i | \(-0.484209\pi\) |
−0.998770 | + | 0.0495873i | \(0.984209\pi\) | |||||||
\(510\) | −14.8094 | + | 38.3701i | −0.655770 | + | 1.69906i | ||||
\(511\) | 16.9824 | + | 16.7894i | 0.751256 | + | 0.742721i | ||||
\(512\) | 35.0845 | + | 35.0845i | 1.55053 | + | 1.55053i | ||||
\(513\) | −3.56723 | − | 17.2466i | −0.157497 | − | 0.761457i | ||||
\(514\) | 4.73152 | + | 4.73152i | 0.208698 | + | 0.208698i | ||||
\(515\) | 21.4134 | + | 5.73770i | 0.943586 | + | 0.252833i | ||||
\(516\) | −73.7359 | − | 28.4592i | −3.24604 | − | 1.25284i | ||||
\(517\) | −18.3601 | + | 10.6002i | −0.807475 | + | 0.466196i | ||||
\(518\) | −33.4916 | − | 19.0821i | −1.47154 | − | 0.838420i | ||||
\(519\) | 8.84637 | − | 7.13694i | 0.388313 | − | 0.313277i | ||||
\(520\) | −53.9083 | + | 4.74982i | −2.36403 | + | 0.208293i | ||||
\(521\) | 23.1439 | − | 13.3622i | 1.01395 | − | 0.585407i | 0.101607 | − | 0.994825i | \(-0.467602\pi\) |
0.912347 | + | 0.409418i | \(0.134268\pi\) | |||||||
\(522\) | −39.6974 | + | 1.93508i | −1.73751 | + | 0.0846962i | ||||
\(523\) | −18.2483 | −0.797944 | −0.398972 | − | 0.916963i | \(-0.630633\pi\) | ||||
−0.398972 | + | 0.916963i | \(0.630633\pi\) | |||||||
\(524\) | −23.0390 | + | 39.9047i | −1.00646 | + | 1.74324i | ||||
\(525\) | 0.105804 | − | 0.0171795i | 0.00461768 | − | 0.000749777i | ||||
\(526\) | 2.96149 | + | 11.0524i | 0.129127 | + | 0.481908i | ||||
\(527\) | 34.8325 | + | 9.33335i | 1.51733 | + | 0.406567i | ||||
\(528\) | 25.8037 | − | 11.4321i | 1.12296 | − | 0.497520i | ||||
\(529\) | −22.9573 | −0.998142 | ||||||||
\(530\) | −20.2249 | −0.878514 | ||||||||
\(531\) | −9.74186 | + | 18.9481i | −0.422761 | + | 0.822276i | ||||
\(532\) | −29.4352 | − | 29.1008i | −1.27618 | − | 1.26168i | ||||
\(533\) | 26.1043 | − | 9.51939i | 1.13070 | − | 0.412331i | ||||
\(534\) | 1.96208 | + | 12.5362i | 0.0849075 | + | 0.542496i | ||||
\(535\) | −1.22263 | − | 4.56290i | −0.0528587 | − | 0.197271i | ||||
\(536\) | 45.8822 | + | 26.4901i | 1.98181 | + | 1.14420i | ||||
\(537\) | 41.3170 | + | 15.9468i | 1.78296 | + | 0.688153i | ||||
\(538\) | 15.0324 | − | 15.0324i | 0.648091 | − | 0.648091i | ||||
\(539\) | −9.87444 | + | 10.1027i | −0.425322 | + | 0.435155i | ||||
\(540\) | −39.9577 | + | 35.5836i | −1.71950 | + | 1.53127i | ||||
\(541\) | −8.48739 | + | 2.27419i | −0.364901 | + | 0.0977750i | −0.436611 | − | 0.899651i | \(-0.643821\pi\) |
0.0717093 | + | 0.997426i | \(0.477155\pi\) | |||||||
\(542\) | 43.5248i | 1.86955i | ||||||||
\(543\) | 25.1441 | − | 3.93537i | 1.07903 | − | 0.168883i | ||||
\(544\) | 21.3941 | + | 21.3941i | 0.917263 | + | 0.917263i | ||||
\(545\) | −13.2306 | −0.566736 | ||||||||
\(546\) | 21.7241 | − | 36.5264i | 0.929704 | − | 1.56319i | ||||
\(547\) | 15.8514 | 0.677758 | 0.338879 | − | 0.940830i | \(-0.389952\pi\) | ||||
0.338879 | + | 0.940830i | \(0.389952\pi\) | |||||||
\(548\) | 74.7285 | + | 74.7285i | 3.19224 | + | 3.19224i | ||||
\(549\) | 7.64275 | + | 6.93228i | 0.326185 | + | 0.295862i | ||||
\(550\) | − | 0.121418i | − | 0.00517730i | ||||||
\(551\) | 16.8627 | − | 4.51836i | 0.718377 | − | 0.192488i | ||||
\(552\) | −1.94629 | − | 1.41950i | −0.0828396 | − | 0.0604180i | ||||
\(553\) | −8.96729 | − | 15.3289i | −0.381328 | − | 0.651851i | ||||
\(554\) | 24.1398 | − | 24.1398i | 1.02560 | − | 1.02560i | ||||
\(555\) | 7.88060 | − | 20.4181i | 0.334513 | − | 0.866701i | ||||
\(556\) | −10.5862 | − | 6.11197i | −0.448956 | − | 0.259205i | ||||
\(557\) | −4.00210 | − | 14.9360i | −0.169574 | − | 0.632860i | −0.997412 | − | 0.0718930i | \(-0.977096\pi\) |
0.827838 | − | 0.560967i | \(-0.189571\pi\) | |||||||
\(558\) | 49.8041 | + | 45.1743i | 2.10838 | + | 1.91238i | ||||
\(559\) | 3.12852 | + | 35.5072i | 0.132322 | + | 1.50180i | ||||
\(560\) | −12.0708 | + | 46.1007i | −0.510084 | + | 1.94811i | ||||
\(561\) | −13.2257 | + | 5.85956i | −0.558391 | + | 0.247391i | ||||
\(562\) | 11.0490 | 0.466075 | ||||||||
\(563\) | −23.7189 | −0.999632 | −0.499816 | − | 0.866132i | \(-0.666599\pi\) | ||||
−0.499816 | + | 0.866132i | \(0.666599\pi\) | |||||||
\(564\) | −34.0197 | − | 76.7866i | −1.43249 | − | 3.23330i | ||||
\(565\) | −11.1681 | − | 2.99249i | −0.469847 | − | 0.125895i | ||||
\(566\) | 6.22173 | + | 23.2198i | 0.261519 | + | 0.976002i | ||||
\(567\) | −2.45129 | − | 23.6853i | −0.102945 | − | 0.994687i | ||||
\(568\) | 43.3355 | − | 75.0593i | 1.81832 | − | 3.14942i | ||||
\(569\) | −19.6254 | −0.822739 | −0.411369 | − | 0.911469i | \(-0.634949\pi\) | ||||
−0.411369 | + | 0.911469i | \(0.634949\pi\) | |||||||
\(570\) | 19.8493 | − | 27.2156i | 0.831397 | − | 1.13994i | ||||
\(571\) | −39.5558 | + | 22.8376i | −1.65536 | + | 0.955723i | −0.680545 | + | 0.732706i | \(0.738257\pi\) |
−0.974815 | + | 0.223017i | \(0.928410\pi\) | |||||||
\(572\) | −25.7422 | − | 21.5733i | −1.07634 | − | 0.902025i | ||||
\(573\) | 8.12935 | + | 10.0765i | 0.339608 | + | 0.420951i | ||||
\(574\) | −0.299605 | − | 52.4427i | −0.0125053 | − | 2.18891i | ||||
\(575\) | −0.00418741 | + | 0.00241760i | −0.000174627 | + | 0.000100821i | ||||
\(576\) | 2.43534 | + | 7.58941i | 0.101472 | + | 0.316226i | ||||
\(577\) | 33.0111 | + | 8.84531i | 1.37427 | + | 0.368235i | 0.869037 | − | 0.494747i | \(-0.164739\pi\) |
0.505235 | + | 0.862982i | \(0.331406\pi\) | |||||||
\(578\) | −0.229182 | − | 0.229182i | −0.00953270 | − | 0.00953270i | ||||
\(579\) | −18.5891 | − | 41.9578i | −0.772536 | − | 1.74371i | ||||
\(580\) | −37.5028 | − | 37.5028i | −1.55722 | − | 1.55722i | ||||
\(581\) | 11.7501 | − | 3.22049i | 0.487477 | − | 0.133609i | ||||
\(582\) | −27.5131 | − | 10.6190i | −1.14045 | − | 0.440171i | ||||
\(583\) | −5.02994 | − | 5.02994i | −0.208319 | − | 0.208319i | ||||
\(584\) | 30.3643 | + | 52.5926i | 1.25649 | + | 2.17630i | ||||
\(585\) | 22.3455 | + | 9.10721i | 0.923873 | + | 0.376537i | ||||
\(586\) | −20.0916 | + | 34.7996i | −0.829975 | + | 1.43756i | ||||
\(587\) | 8.48537 | − | 31.6678i | 0.350229 | − | 1.30707i | −0.536155 | − | 0.844120i | \(-0.680124\pi\) |
0.886383 | − | 0.462952i | \(-0.153210\pi\) | |||||||
\(588\) | −35.6349 | − | 43.1518i | −1.46956 | − | 1.77955i | ||||
\(589\) | −25.5778 | − | 14.7673i | −1.05391 | − | 0.608477i | ||||
\(590\) | −39.3619 | + | 10.5470i | −1.62050 | + | 0.434213i | ||||
\(591\) | −7.73208 | − | 0.826954i | −0.318055 | − | 0.0340163i | ||||
\(592\) | −32.3383 | − | 32.3383i | −1.32910 | − | 1.32910i | ||||
\(593\) | −3.16949 | − | 11.8287i | −0.130155 | − | 0.485746i | 0.869816 | − | 0.493377i | \(-0.164238\pi\) |
−0.999971 | + | 0.00763091i | \(0.997571\pi\) | |||||||
\(594\) | −26.9275 | − | 1.55919i | −1.10485 | − | 0.0639745i | ||||
\(595\) | 6.18690 | − | 23.6290i | 0.253638 | − | 0.968694i | ||||
\(596\) | 10.4299 | + | 2.79468i | 0.427225 | + | 0.114475i | ||||
\(597\) | 7.34798 | − | 1.15005i | 0.300733 | − | 0.0470685i | ||||
\(598\) | −0.331729 | + | 1.88813i | −0.0135654 | + | 0.0772114i | ||||
\(599\) | −24.1910 | + | 13.9667i | −0.988419 | + | 0.570664i | −0.904801 | − | 0.425834i | \(-0.859981\pi\) |
−0.0836176 | + | 0.996498i | \(0.526647\pi\) | |||||||
\(600\) | 0.271039 | + | 0.0289879i | 0.0110651 | + | 0.00118343i | ||||
\(601\) | 1.61164 | + | 2.79145i | 0.0657403 | + | 0.113866i | 0.897022 | − | 0.441986i | \(-0.145726\pi\) |
−0.831282 | + | 0.555851i | \(0.812392\pi\) | |||||||
\(602\) | 65.0827 | + | 17.0410i | 2.65257 | + | 0.694538i | ||||
\(603\) | −12.7937 | − | 19.8589i | −0.520998 | − | 0.808718i | ||||
\(604\) | 47.0218 | + | 12.5995i | 1.91329 | + | 0.512665i | ||||
\(605\) | 10.9271 | − | 10.9271i | 0.444252 | − | 0.444252i | ||||
\(606\) | −2.27407 | − | 5.13285i | −0.0923778 | − | 0.208508i | ||||
\(607\) | 13.3055 | + | 23.0458i | 0.540055 | + | 0.935402i | 0.998900 | + | 0.0468861i | \(0.0149298\pi\) |
−0.458846 | + | 0.888516i | \(0.651737\pi\) | |||||||
\(608\) | −12.3899 | − | 21.4600i | −0.502478 | − | 0.870318i | ||||
\(609\) | 23.2983 | − | 3.78297i | 0.944095 | − | 0.153294i | ||||
\(610\) | 19.7354i | 0.799064i | ||||||||
\(611\) | −24.3285 | + | 29.0299i | −0.984225 | + | 1.17442i | ||||
\(612\) | −17.5092 | − | 54.5651i | −0.707767 | − | 2.20566i | ||||
\(613\) | −3.07454 | − | 11.4744i | −0.124180 | − | 0.463445i | 0.875629 | − | 0.482983i | \(-0.160447\pi\) |
−0.999809 | + | 0.0195388i | \(0.993780\pi\) | |||||||
\(614\) | 26.5097i | 1.06984i | ||||||||
\(615\) | 29.4187 | − | 4.60441i | 1.18628 | − | 0.185668i | ||||
\(616\) | −31.0087 | + | 18.1398i | −1.24937 | + | 0.730875i | ||||
\(617\) | −4.16410 | + | 1.11577i | −0.167640 | + | 0.0449191i | −0.341663 | − | 0.939823i | \(-0.610990\pi\) |
0.174023 | + | 0.984742i | \(0.444323\pi\) | |||||||
\(618\) | −40.4771 | + | 17.9330i | −1.62823 | + | 0.721373i | ||||
\(619\) | 11.2484 | − | 41.9797i | 0.452112 | − | 1.68731i | −0.244329 | − | 0.969692i | \(-0.578568\pi\) |
0.696441 | − | 0.717614i | \(-0.254766\pi\) | |||||||
\(620\) | 89.7278i | 3.60356i | ||||||||
\(621\) | 0.482389 | + | 0.959704i | 0.0193576 | + | 0.0385116i | ||||
\(622\) | 4.63638 | − | 17.3032i | 0.185902 | − | 0.693795i | ||||
\(623\) | −1.99191 | − | 7.26759i | −0.0798044 | − | 0.291170i | ||||
\(624\) | 36.3131 | − | 34.9823i | 1.45369 | − | 1.40041i | ||||
\(625\) | −12.4412 | + | 21.5489i | −0.497650 | + | 0.861955i | ||||
\(626\) | 19.0107 | − | 5.09390i | 0.759821 | − | 0.203593i | ||||
\(627\) | 11.7051 | − | 1.83199i | 0.467455 | − | 0.0731627i | ||||
\(628\) | 15.7556 | − | 9.09649i | 0.628716 | − | 0.362990i | ||||
\(629\) | 16.5751 | + | 16.5751i | 0.660891 | + | 0.660891i | ||||
\(630\) | 30.4049 | − | 33.9083i | 1.21136 | − | 1.35094i | ||||
\(631\) | −34.0192 | + | 9.11541i | −1.35428 | + | 0.362879i | −0.861714 | − | 0.507395i | \(-0.830609\pi\) |
−0.492569 | + | 0.870274i | \(0.663942\pi\) | |||||||
\(632\) | −11.6887 | − | 43.6227i | −0.464951 | − | 1.73522i | ||||
\(633\) | −3.02166 | + | 2.43777i | −0.120100 | + | 0.0968926i | ||||
\(634\) | 50.0119 | + | 28.8744i | 1.98622 | + | 1.14675i | ||||
\(635\) | 30.5613 | − | 30.5613i | 1.21279 | − | 1.21279i | ||||
\(636\) | 21.9321 | − | 17.6940i | 0.869664 | − | 0.701614i | ||||
\(637\) | −10.3902 | + | 23.0010i | −0.411674 | + | 0.911331i | ||||
\(638\) | − | 26.7366i | − | 1.05851i | ||||||
\(639\) | −32.4875 | + | 20.9293i | −1.28519 | + | 0.827951i | ||||
\(640\) | 8.68725 | − | 15.0468i | 0.343394 | − | 0.594776i | ||||
\(641\) | 47.2154 | 1.86489 | 0.932447 | − | 0.361306i | \(-0.117669\pi\) | ||||
0.932447 | + | 0.361306i | \(0.117669\pi\) | |||||||
\(642\) | 7.62189 | + | 5.55892i | 0.300812 | + | 0.219393i | ||||
\(643\) | 3.11049 | + | 11.6085i | 0.122666 | + | 0.457795i | 0.999746 | − | 0.0225494i | \(-0.00717832\pi\) |
−0.877080 | + | 0.480344i | \(0.840512\pi\) | |||||||
\(644\) | 2.19341 | + | 1.24971i | 0.0864325 | + | 0.0492456i | ||||
\(645\) | −4.06226 | + | 37.9824i | −0.159951 | + | 1.49555i | ||||
\(646\) | 18.0388 | + | 31.2442i | 0.709728 | + | 1.22929i | ||||
\(647\) | −13.4820 | + | 23.3516i | −0.530033 | + | 0.918045i | 0.469353 | + | 0.883011i | \(0.344487\pi\) |
−0.999386 | + | 0.0350339i | \(0.988846\pi\) | |||||||
\(648\) | 9.90931 | − | 59.7371i | 0.389274 | − | 2.34670i | ||||
\(649\) | −12.4124 | − | 7.16627i | −0.487227 | − | 0.281301i | ||||
\(650\) | −0.0743179 | − | 0.203796i | −0.00291499 | − | 0.00799354i | ||||
\(651\) | −32.3968 | − | 23.3458i | −1.26973 | − | 0.914994i | ||||
\(652\) | 44.9913 | + | 12.0554i | 1.76200 | + | 0.472125i | ||||
\(653\) | − | 1.51066i | − | 0.0591166i | −0.999563 | − | 0.0295583i | \(-0.990590\pi\) | ||
0.999563 | − | 0.0295583i | \(-0.00941007\pi\) | |||||||
\(654\) | 20.5640 | − | 16.5903i | 0.804117 | − | 0.648733i | ||||
\(655\) | 21.5108 | + | 5.76380i | 0.840497 | + | 0.225210i | ||||
\(656\) | 16.1042 | − | 60.1015i | 0.628762 | − | 2.34657i | ||||
\(657\) | −1.31838 | − | 27.0460i | −0.0514348 | − | 1.05517i | ||||
\(658\) | 36.0973 | + | 61.7055i | 1.40722 | + | 2.40553i | ||||
\(659\) | −1.90656 | − | 1.10075i | −0.0742691 | − | 0.0428793i | 0.462406 | − | 0.886669i | \(-0.346986\pi\) |
−0.536675 | + | 0.843789i | \(0.680320\pi\) | |||||||
\(660\) | −22.6003 | − | 28.0135i | −0.879715 | − | 1.09042i | ||||
\(661\) | 0.521215 | − | 0.139659i | 0.0202729 | − | 0.00543211i | −0.248668 | − | 0.968589i | \(-0.579993\pi\) |
0.268941 | + | 0.963157i | \(0.413326\pi\) | |||||||
\(662\) | 3.56670 | + | 6.17771i | 0.138624 | + | 0.240104i | ||||
\(663\) | −18.6124 | + | 17.9303i | −0.722844 | + | 0.696354i | ||||
\(664\) | 30.9826 | 1.20236 | ||||||||
\(665\) | −9.90328 | + | 17.3815i | −0.384033 | + | 0.674028i | ||||
\(666\) | 13.3544 | + | 41.6172i | 0.517472 | + | 1.61263i | ||||
\(667\) | −0.922075 | + | 0.532360i | −0.0357029 | + | 0.0206131i | ||||
\(668\) | 12.1546 | − | 45.3614i | 0.470274 | − | 1.75509i | ||||
\(669\) | 2.80902 | − | 26.2646i | 0.108603 | − | 1.01545i | ||||
\(670\) | 11.6942 | − | 43.6434i | 0.451787 | − | 1.68609i | ||||
\(671\) | −4.90820 | + | 4.90820i | −0.189479 | + | 0.189479i | ||||
\(672\) | −13.7459 | − | 30.5538i | −0.530261 | − | 1.17864i | ||||
\(673\) | 1.66390 | − | 0.960655i | 0.0641387 | − | 0.0370305i | −0.467588 | − | 0.883947i | \(-0.654877\pi\) |
0.531726 | + | 0.846916i | \(0.321543\pi\) | |||||||
\(674\) | 34.0081 | − | 34.0081i | 1.30994 | − | 1.30994i | ||||
\(675\) | −0.101569 | − | 0.0667540i | −0.00390941 | − | 0.00256936i | ||||
\(676\) | −56.4119 | − | 20.4536i | −2.16969 | − | 0.786677i | ||||
\(677\) | 14.7532 | + | 8.51774i | 0.567010 | + | 0.327363i | 0.755954 | − | 0.654625i | \(-0.227173\pi\) |
−0.188944 | + | 0.981988i | \(0.560507\pi\) | |||||||
\(678\) | 21.1108 | − | 9.35297i | 0.810755 | − | 0.359199i | ||||
\(679\) | 16.9430 | + | 4.43629i | 0.650214 | + | 0.170249i | ||||
\(680\) | 31.0571 | − | 53.7925i | 1.19099 | − | 2.06285i | ||||
\(681\) | 19.4218 | − | 26.6294i | 0.744244 | − | 1.02044i | ||||
\(682\) | −31.9844 | + | 31.9844i | −1.22475 | + | 1.22475i | ||||
\(683\) | 12.6559 | − | 12.6559i | 0.484265 | − | 0.484265i | −0.422226 | − | 0.906491i | \(-0.638751\pi\) |
0.906491 | + | 0.422226i | \(0.138751\pi\) | |||||||
\(684\) | 2.28512 | + | 46.8783i | 0.0873737 | + | 1.79244i | ||||
\(685\) | 25.5382 | − | 44.2335i | 0.975765 | − | 1.69008i | ||||
\(686\) | 34.2563 | + | 33.1018i | 1.30791 | + | 1.26383i | ||||
\(687\) | −5.58751 | − | 12.6117i | −0.213177 | − | 0.481166i | ||||
\(688\) | 69.1266 | + | 39.9103i | 2.63543 | + | 1.52157i | ||||
\(689\) | −11.5213 | − | 5.36382i | −0.438926 | − | 0.204345i | ||||
\(690\) | −0.739740 | + | 1.91662i | −0.0281614 | + | 0.0729644i | ||||
\(691\) | −29.4002 | + | 29.4002i | −1.11844 | + | 1.11844i | −0.126465 | + | 0.991971i | \(0.540363\pi\) |
−0.991971 | + | 0.126465i | \(0.959637\pi\) | |||||||
\(692\) | −26.2324 | + | 15.1453i | −0.997208 | + | 0.575738i | ||||
\(693\) | 15.9947 | − | 0.871293i | 0.607588 | − | 0.0330977i | ||||
\(694\) | −49.2199 | + | 49.2199i | −1.86836 | + | 1.86836i | ||||
\(695\) | −1.52907 | + | 5.70656i | −0.0580008 | + | 0.216462i | ||||
\(696\) | 59.6832 | + | 6.38319i | 2.26229 | + | 0.241954i | ||||
\(697\) | −8.25422 | + | 30.8052i | −0.312651 | + | 1.16683i | ||||
\(698\) | 19.8375 | − | 11.4532i | 0.750862 | − | 0.433510i | ||||
\(699\) | 9.45019 | + | 3.64740i | 0.357439 | + | 0.137957i | ||||
\(700\) | −0.285650 | + | 0.00163192i | −0.0107965 | + | 6.16807e-5i | ||||
\(701\) | −28.2725 | −1.06784 | −0.533918 | − | 0.845536i | \(-0.679281\pi\) | ||||
−0.533918 | + | 0.845536i | \(0.679281\pi\) | |||||||
\(702\) | −46.1510 | + | 13.8647i | −1.74186 | + | 0.523290i | ||||
\(703\) | −9.59911 | − | 16.6261i | −0.362037 | − | 0.627067i | ||||
\(704\) | −5.17918 | + | 1.38776i | −0.195198 | + | 0.0523031i | ||||
\(705\) | −31.5912 | + | 25.4867i | −1.18979 | + | 0.959883i | ||||
\(706\) | 9.23493 | + | 5.33179i | 0.347561 | + | 0.200665i | ||||
\(707\) | 1.68350 | + | 2.87781i | 0.0633145 | + | 0.108231i | ||||
\(708\) | 33.4573 | − | 45.8736i | 1.25740 | − | 1.72403i | ||||
\(709\) | −0.937942 | + | 3.50045i | −0.0352251 | + | 0.131462i | −0.981299 | − | 0.192488i | \(-0.938344\pi\) |
0.946074 | + | 0.323950i | \(0.105011\pi\) | |||||||
\(710\) | −71.3969 | − | 19.1307i | −2.67948 | − | 0.717964i | ||||
\(711\) | −4.25863 | + | 19.6815i | −0.159711 | + | 0.738114i | ||||
\(712\) | − | 19.1631i | − | 0.718169i | ||||||
\(713\) | 1.73991 | + | 0.466208i | 0.0651602 | + | 0.0174596i | ||||
\(714\) | 20.0131 | + | 44.4840i | 0.748970 | + | 1.66477i | ||||
\(715\) | −6.85112 | + | 14.7159i | −0.256217 | + | 0.550345i | ||||
\(716\) | −102.212 | − | 59.0118i | −3.81982 | − | 2.20538i | ||||
\(717\) | 4.27803 | − | 5.86564i | 0.159766 | − | 0.219056i | ||||
\(718\) | 7.37773 | − | 12.7786i | 0.275335 | − | 0.476894i | ||||
\(719\) | −11.6995 | − | 20.2641i | −0.436318 | − | 0.755724i | 0.561085 | − | 0.827759i | \(-0.310384\pi\) |
−0.997402 | + | 0.0720342i | \(0.977051\pi\) | |||||||
\(720\) | 45.4251 | − | 29.2641i | 1.69289 | − | 1.09061i | ||||
\(721\) | 22.6941 | − | 13.2759i | 0.845171 | − | 0.494419i | ||||
\(722\) | 5.00095 | + | 18.6638i | 0.186116 | + | 0.694595i | ||||
\(723\) | 0.597364 | − | 0.819051i | 0.0222162 | − | 0.0304608i | ||||
\(724\) | −67.8230 | −2.52062 | ||||||||
\(725\) | 0.0602393 | − | 0.104337i | 0.00223723 | − | 0.00387500i | ||||
\(726\) | −3.28188 | + | 30.6858i | −0.121802 | + | 1.13886i | ||||
\(727\) | − | 20.6329i | − | 0.765233i | −0.923907 | − | 0.382617i | \(-0.875023\pi\) | ||
0.923907 | − | 0.382617i | \(-0.124977\pi\) | |||||||
\(728\) | −40.9438 | + | 49.4268i | −1.51748 | + | 1.83188i | ||||
\(729\) | −16.1086 | + | 21.6682i | −0.596615 | + | 0.802528i | ||||
\(730\) | 36.6219 | − | 36.6219i | 1.35544 | − | 1.35544i | ||||
\(731\) | −35.4310 | − | 20.4561i | −1.31046 | − | 0.756596i | ||||
\(732\) | −17.2658 | − | 21.4013i | −0.638163 | − | 0.791015i | ||||
\(733\) | 10.2247 | + | 38.1590i | 0.377657 | + | 1.40943i | 0.849424 | + | 0.527711i | \(0.176950\pi\) |
−0.471767 | + | 0.881723i | \(0.656384\pi\) | |||||||
\(734\) | 22.6689 | − | 6.07410i | 0.836723 | − | 0.224199i | ||||
\(735\) | −15.6873 | + | 22.0334i | −0.578634 | + | 0.812714i | ||||
\(736\) | 1.06865 | + | 1.06865i | 0.0393910 | + | 0.0393910i | ||||
\(737\) | 13.7625 | − | 7.94577i | 0.506947 | − | 0.292686i | ||||
\(738\) | −39.9512 | + | 44.0457i | −1.47063 | + | 1.62135i | ||||
\(739\) | −23.7667 | + | 6.36828i | −0.874274 | + | 0.234261i | −0.667935 | − | 0.744220i | \(-0.732822\pi\) |
−0.206339 | + | 0.978481i | \(0.566155\pi\) | |||||||
\(740\) | −29.1626 | + | 50.5111i | −1.07204 | + | 1.85682i | ||||
\(741\) | 18.5251 | − | 10.2394i | 0.680538 | − | 0.376152i | ||||
\(742\) | −16.8639 | + | 17.0577i | −0.619094 | + | 0.626209i | ||||
\(743\) | 5.84585 | − | 21.8170i | 0.214464 | − | 0.800389i | −0.771891 | − | 0.635755i | \(-0.780689\pi\) |
0.986355 | − | 0.164634i | \(-0.0526443\pi\) | |||||||
\(744\) | −63.7618 | − | 79.0339i | −2.33762 | − | 2.89752i | ||||
\(745\) | − | 5.21862i | − | 0.191196i | ||||||
\(746\) | 7.68703 | − | 28.6884i | 0.281442 | − | 1.05036i | ||||
\(747\) | −12.2860 | − | 6.31668i | −0.449523 | − | 0.231115i | ||||
\(748\) | 37.2364 | − | 9.97747i | 1.36150 | − | 0.364812i | ||||
\(749\) | −4.86780 | − | 2.77347i | −0.177866 | − | 0.101340i | ||||
\(750\) | −7.71988 | − | 49.3242i | −0.281890 | − | 1.80107i | ||||
\(751\) | − | 4.02354i | − | 0.146821i | −0.997302 | − | 0.0734105i | \(-0.976612\pi\) | ||
0.997302 | − | 0.0734105i | \(-0.0233883\pi\) | |||||||
\(752\) | 21.9524 | + | 81.9274i | 0.800521 | + | 2.98758i | ||||
\(753\) | 20.3310 | + | 7.84699i | 0.740904 | + | 0.285960i | ||||
\(754\) | −16.3649 | − | 44.8763i | −0.595976 | − | 1.63430i | ||||
\(755\) | − | 23.5275i | − | 0.856252i | ||||||
\(756\) | −3.30625 | + | 63.3706i | −0.120247 | + | 2.30477i | ||||
\(757\) | −12.2691 | − | 21.2507i | −0.445927 | − | 0.772369i | 0.552189 | − | 0.833719i | \(-0.313793\pi\) |
−0.998116 | + | 0.0613503i | \(0.980459\pi\) | |||||||
\(758\) | 1.00641 | + | 1.74315i | 0.0365543 | + | 0.0633139i | ||||
\(759\) | −0.660636 | + | 0.292690i | −0.0239796 | + | 0.0106240i | ||||
\(760\) | −35.9722 | + | 35.9722i | −1.30485 | + | 1.30485i | ||||
\(761\) | 20.1898 | + | 5.40984i | 0.731879 | + | 0.196106i | 0.605466 | − | 0.795871i | \(-0.292987\pi\) |
0.126413 | + | 0.991978i | \(0.459653\pi\) | |||||||
\(762\) | −9.17884 | + | 85.8228i | −0.332514 | + | 3.10903i | ||||
\(763\) | −11.0319 | + | 11.1587i | −0.399382 | + | 0.403972i | ||||
\(764\) | −17.2513 | − | 29.8801i | −0.624130 | − | 1.08103i | ||||
\(765\) | −23.2827 | + | 14.9993i | −0.841788 | + | 0.542302i | ||||
\(766\) | 75.5507 | − | 43.6192i | 2.72976 | − | 1.57603i | ||||
\(767\) | −25.2200 | − | 4.43095i | −0.910641 | − | 0.159992i | ||||
\(768\) | 6.78844 | + | 43.3731i | 0.244957 | + | 1.56509i | ||||
\(769\) | 41.1485 | + | 11.0257i | 1.48385 | + | 0.397597i | 0.907657 | − | 0.419713i | \(-0.137869\pi\) |
0.576197 | + | 0.817311i | \(0.304536\pi\) | |||||||
\(770\) | 21.7875 | + | 21.5400i | 0.785168 | + | 0.776248i | ||||
\(771\) | 0.696755 | + | 4.45174i | 0.0250930 | + | 0.160326i | ||||
\(772\) | 31.6529 | + | 118.130i | 1.13921 | + | 4.25160i | ||||
\(773\) | −11.3020 | − | 11.3020i | −0.406506 | − | 0.406506i | 0.474012 | − | 0.880518i | \(-0.342805\pi\) |
−0.880518 | + | 0.474012i | \(0.842805\pi\) | |||||||
\(774\) | −41.3136 | − | 64.1290i | −1.48499 | − | 2.30507i | ||||
\(775\) | −0.196880 | + | 0.0527538i | −0.00707213 | + | 0.00189497i | ||||
\(776\) | 38.5716 | + | 22.2693i | 1.38464 | + | 0.799423i | ||||
\(777\) | −10.6497 | − | 23.6715i | −0.382055 | − | 0.849211i | ||||
\(778\) | 22.0348 | − | 82.2351i | 0.789987 | − | 2.94827i | ||||
\(779\) | 13.0599 | − | 22.6204i | 0.467920 | − | 0.810462i | ||||
\(780\) | −55.0802 | − | 33.1863i | −1.97219 | − | 1.18826i | ||||
\(781\) | −12.9986 | − | 22.5142i | −0.465126 | − | 0.805622i | ||||
\(782\) | −1.55587 | − | 1.55587i | −0.0556380 | − | 0.0556380i | ||||
\(783\) | −22.3658 | − | 14.6994i | −0.799288 | − | 0.525312i | ||||
\(784\) | 28.8165 | + | 48.6201i | 1.02916 | + | 1.73643i | ||||
\(785\) | −6.21740 | − | 6.21740i | −0.221908 | − | 0.221908i | ||||
\(786\) | −40.6612 | + | 18.0146i | −1.45034 | + | 0.642561i | ||||
\(787\) | −21.8923 | − | 21.8923i | −0.780374 | − | 0.780374i | 0.199519 | − | 0.979894i | \(-0.436062\pi\) |
−0.979894 | + | 0.199519i | \(0.936062\pi\) | |||||||
\(788\) | 20.0169 | + | 5.36350i | 0.713072 | + | 0.191067i | ||||
\(789\) | −2.77442 | + | 7.18835i | −0.0987721 | + | 0.255912i | ||||
\(790\) | −33.3551 | + | 19.2575i | −1.18672 | + | 0.685153i | ||||
\(791\) | −11.8361 | + | 6.92402i | −0.420843 | + | 0.246190i | ||||
\(792\) | 39.8135 | + | 8.61474i | 1.41471 | + | 0.306112i | ||||
\(793\) | −5.23401 | + | 11.2424i | −0.185865 | + | 0.399231i | ||||
\(794\) | 59.4444 | − | 34.3202i | 2.10960 | − | 1.21798i | ||||
\(795\) | −11.0036 | − | 8.02536i | −0.390259 | − | 0.284630i | ||||
\(796\) | −19.8203 | −0.702511 | ||||||||
\(797\) | −4.55916 | + | 7.89670i | −0.161494 | + | 0.279716i | −0.935405 | − | 0.353579i | \(-0.884965\pi\) |
0.773911 | + | 0.633295i | \(0.218298\pi\) | |||||||
\(798\) | −6.40291 | − | 39.4338i | −0.226661 | − | 1.39594i | ||||
\(799\) | −11.2517 | − | 41.9920i | −0.398058 | − | 1.48557i | ||||
\(800\) | −0.165184 | − | 0.0442609i | −0.00584014 | − | 0.00156486i | ||||
\(801\) | −3.90695 | + | 7.59907i | −0.138045 | + | 0.268500i | ||||
\(802\) | 65.9171 | 2.32762 | ||||||||
\(803\) | 18.2157 | 0.642819 | ||||||||
\(804\) | 25.5007 | + | 57.5582i | 0.899341 | + | 2.02992i | ||||
\(805\) | 0.309041 | − | 1.18029i | 0.0108922 | − | 0.0415996i | ||||
\(806\) | −34.1075 | + | 73.2616i | −1.20139 | + | 2.58053i | ||||
\(807\) | 14.1435 | − | 2.21364i | 0.497874 | − | 0.0779237i | ||||
\(808\) | 2.19441 | + | 8.18963i | 0.0771989 | + | 0.288110i | ||||
\(809\) | −34.0927 | − | 19.6835i | −1.19864 | − | 0.692033i | −0.238386 | − | 0.971171i | \(-0.576618\pi\) |
−0.960251 | + | 0.279137i | \(0.909952\pi\) | |||||||
\(810\) | −51.3969 | + | 5.02269i | −1.80590 | + | 0.176479i | ||||
\(811\) | −31.5057 | + | 31.5057i | −1.10632 | + | 1.10632i | −0.112684 | + | 0.993631i | \(0.535945\pi\) |
−0.993631 | + | 0.112684i | \(0.964055\pi\) | |||||||
\(812\) | −62.9005 | + | 0.359351i | −2.20738 | + | 0.0126108i | ||||
\(813\) | −17.2709 | + | 23.6803i | −0.605716 | + | 0.830503i | ||||
\(814\) | −28.4005 | + | 7.60989i | −0.995437 | + | 0.266727i | ||||
\(815\) | − | 22.5115i | − | 0.788543i | ||||||
\(816\) | 8.94899 | + | 57.1773i | 0.313277 | + | 2.00161i | ||||
\(817\) | 23.6935 | + | 23.6935i | 0.828929 | + | 0.828929i | ||||
\(818\) | 24.2911 | 0.849317 | ||||||||
\(819\) | 26.3132 | − | 11.2525i | 0.919456 | − | 0.393193i | ||||
\(820\) | −79.3534 | −2.77114 | ||||||||
\(821\) | 24.6375 | + | 24.6375i | 0.859853 | + | 0.859853i | 0.991321 | − | 0.131467i | \(-0.0419688\pi\) |
−0.131467 | + | 0.991321i | \(0.541969\pi\) | |||||||
\(822\) | 15.7725 | + | 100.774i | 0.550129 | + | 3.51491i | ||||
\(823\) | 3.24978i | 0.113280i | 0.998395 | + | 0.0566401i | \(0.0180387\pi\) | ||||
−0.998395 | + | 0.0566401i | \(0.981961\pi\) | |||||||
\(824\) | 64.5825 | − | 17.3048i | 2.24984 | − | 0.602842i | ||||
\(825\) | 0.0481795 | − | 0.0660593i | 0.00167739 | − | 0.00229989i | ||||
\(826\) | −23.9254 | + | 41.9922i | −0.832470 | + | 1.46109i | ||||
\(827\) | −2.10817 | + | 2.10817i | −0.0733081 | + | 0.0733081i | −0.742810 | − | 0.669502i | \(-0.766508\pi\) |
0.669502 | + | 0.742810i | \(0.266508\pi\) | |||||||
\(828\) | −0.874598 | − | 2.72557i | −0.0303944 | − | 0.0947201i | ||||
\(829\) | 33.8996 | + | 19.5719i | 1.17738 | + | 0.679761i | 0.955407 | − | 0.295292i | \(-0.0954169\pi\) |
0.221973 | + | 0.975053i | \(0.428750\pi\) | |||||||
\(830\) | −6.83874 | − | 25.5225i | −0.237376 | − | 0.885900i | ||||
\(831\) | 22.7124 | − | 3.55478i | 0.787883 | − | 0.123314i | ||||
\(832\) | −7.84363 | + | 5.49937i | −0.271929 | + | 0.190656i | ||||
\(833\) | −14.7699 | − | 24.9203i | −0.511748 | − | 0.863438i | ||||
\(834\) | −4.77907 | − | 10.7869i | −0.165486 | − | 0.373521i | ||||
\(835\) | −22.6967 | −0.785451 | ||||||||
\(836\) | −31.5730 | −1.09197 | ||||||||
\(837\) | 9.17119 | + | 44.3403i | 0.317003 | + | 1.53262i | ||||
\(838\) | −12.7089 | − | 3.40535i | −0.439023 | − | 0.117636i | ||||
\(839\) | 2.62962 | + | 9.81389i | 0.0907847 | + | 0.338813i | 0.996347 | − | 0.0854009i | \(-0.0272171\pi\) |
−0.905562 | + | 0.424214i | \(0.860550\pi\) | |||||||
\(840\) | −53.2848 | + | 43.4931i | −1.83850 | + | 1.50066i | ||||
\(841\) | −1.23521 | + | 2.13944i | −0.0425933 | + | 0.0737738i | ||||
\(842\) | −46.4802 | −1.60182 | ||||||||
\(843\) | 6.01137 | + | 4.38431i | 0.207043 | + | 0.151004i | ||||
\(844\) | 8.96023 | − | 5.17319i | 0.308424 | − | 0.178069i | ||||
\(845\) | −2.49200 | + | 28.8935i | −0.0857273 | + | 0.993968i | ||||
\(846\) | 17.1429 | − | 79.2267i | 0.589384 | − | 2.72387i | ||||
\(847\) | −0.104704 | − | 18.3272i | −0.00359766 | − | 0.629731i | ||||
\(848\) | −24.6462 | + | 14.2295i | −0.846353 | + | 0.488642i | ||||
\(849\) | −5.82873 | + | 15.1019i | −0.200042 | + | 0.518295i | ||||
\(850\) | 0.240496 | + | 0.0644407i | 0.00824894 | + | 0.00221030i | ||||
\(851\) | 0.827937 | + | 0.827937i | 0.0283813 | + | 0.0283813i | ||||
\(852\) | 94.1603 | − | 41.7170i | 3.22588 | − | 1.42920i | ||||
\(853\) | −15.7309 | − | 15.7309i | −0.538617 | − | 0.538617i | 0.384505 | − | 0.923123i | \(-0.374372\pi\) |
−0.923123 | + | 0.384505i | \(0.874372\pi\) | |||||||
\(854\) | 16.6449 | + | 16.4558i | 0.569576 | + | 0.563105i | ||||
\(855\) | 21.5986 | − | 6.93069i | 0.738657 | − | 0.237025i | ||||
\(856\) | −10.0742 | − | 10.0742i | −0.344330 | − | 0.344330i | ||||
\(857\) | −17.7999 | − | 30.8303i | −0.608032 | − | 1.05314i | −0.991564 | − | 0.129614i | \(-0.958626\pi\) |
0.383533 | − | 0.923527i | \(-0.374707\pi\) | |||||||
\(858\) | −7.80430 | − | 31.4635i | −0.266434 | − | 1.07415i | ||||
\(859\) | 20.9323 | − | 36.2558i | 0.714200 | − | 1.23703i | −0.249067 | − | 0.968486i | \(-0.580124\pi\) |
0.963267 | − | 0.268545i | \(-0.0865428\pi\) | |||||||
\(860\) | 26.3472 | − | 98.3291i | 0.898432 | − | 3.35300i | ||||
\(861\) | 20.6465 | − | 28.6510i | 0.703632 | − | 0.976424i | ||||
\(862\) | −12.1776 | − | 7.03074i | −0.414771 | − | 0.239468i | ||||
\(863\) | −24.2319 | + | 6.49291i | −0.824863 | + | 0.221021i | −0.646471 | − | 0.762938i | \(-0.723756\pi\) |
−0.178392 | + | 0.983960i | \(0.557089\pi\) | |||||||
\(864\) | −11.9371 | + | 36.0652i | −0.406110 | + | 1.22696i | ||||
\(865\) | 10.3517 | + | 10.3517i | 0.351969 | + | 0.351969i | ||||
\(866\) | 1.13550 | + | 4.23773i | 0.0385857 | + | 0.144004i | ||||
\(867\) | −0.0337488 | − | 0.215630i | −0.00114617 | − | 0.00732318i | ||||
\(868\) | 75.6765 | + | 74.8168i | 2.56863 | + | 2.53945i | ||||
\(869\) | −13.0848 | − | 3.50605i | −0.443870 | − | 0.118935i | ||||
\(870\) | −7.91551 | − | 50.5742i | −0.268361 | − | 1.71462i | ||||
\(871\) | 18.2363 | − | 21.7604i | 0.617914 | − | 0.737323i | ||||
\(872\) | −34.5573 | + | 19.9516i | −1.17026 | + | 0.675648i | ||||
\(873\) | −10.7552 | − | 16.6947i | −0.364008 | − | 0.565032i | ||||
\(874\) | 0.901054 | + | 1.56067i | 0.0304786 | + | 0.0527905i | ||||
\(875\) | 7.83726 | + | 28.5946i | 0.264948 | + | 0.966674i | ||||
\(876\) | −7.67399 | + | 71.7523i | −0.259280 | + | 2.42428i | ||||
\(877\) | 7.83484 | + | 2.09934i | 0.264564 | + | 0.0708897i | 0.388662 | − | 0.921380i | \(-0.372937\pi\) |
−0.124099 | + | 0.992270i | \(0.539604\pi\) | |||||||
\(878\) | 43.6453 | − | 43.6453i | 1.47296 | − | 1.47296i | ||||
\(879\) | −24.7398 | + | 10.9608i | −0.834452 | + | 0.369697i | ||||
\(880\) | 18.1751 | + | 31.4801i | 0.612681 | + | 1.06120i | ||||
\(881\) | 5.72031 | + | 9.90787i | 0.192722 | + | 0.333805i | 0.946151 | − | 0.323724i | \(-0.104935\pi\) |
−0.753429 | + | 0.657529i | \(0.771602\pi\) | |||||||
\(882\) | −3.24610 | − | 53.9169i | −0.109302 | − | 1.81548i | ||||
\(883\) | 14.1405i | 0.475866i | 0.971282 | + | 0.237933i | \(0.0764699\pi\) | ||||
−0.971282 | + | 0.237933i | \(0.923530\pi\) | |||||||
\(884\) | 56.3929 | − | 39.5385i | 1.89670 | − | 1.32982i | ||||
\(885\) | −25.6005 | − | 9.88079i | −0.860551 | − | 0.332139i | ||||
\(886\) | −0.621111 | − | 2.31802i | −0.0208666 | − | 0.0778753i | ||||
\(887\) | 41.1751i | 1.38252i | 0.722604 | + | 0.691262i | \(0.242945\pi\) | ||||
−0.722604 | + | 0.691262i | \(0.757055\pi\) | |||||||
\(888\) | −10.2069 | − | 65.2144i | −0.342521 | − | 2.18845i | ||||
\(889\) | −0.292838 | − | 51.2581i | −0.00982147 | − | 1.71914i | ||||
\(890\) | −15.7860 | + | 4.22985i | −0.529148 | + | 0.141785i | ||||
\(891\) | −14.0315 | − | 11.5333i | −0.470075 | − | 0.386379i | ||||
\(892\) | −18.2189 | + | 67.9940i | −0.610015 | + | 2.27661i | ||||
\(893\) | 35.6052i | 1.19148i | ||||||||
\(894\) | 6.54382 | + | 8.11119i | 0.218858 | + | 0.271279i | ||||
\(895\) | −14.7634 | + | 55.0976i | −0.493484 | + | 1.84171i | ||||
\(896\) | −5.44686 | − | 19.8731i | −0.181967 | − | 0.663914i | ||||
\(897\) | −0.929702 | + | 0.895631i | −0.0310418 | + | 0.0299042i | ||||
\(898\) | 23.7679 | − | 41.1672i | 0.793144 | − | 1.37377i | ||||
\(899\) | −43.3533 | + | 11.6165i | −1.44591 | + | 0.387431i | ||||
\(900\) | 0.239912 | + | 0.217610i | 0.00799708 | + | 0.00725367i | ||||
\(901\) | 12.6324 | − | 7.29334i | 0.420848 | − | 0.242977i | ||||
\(902\) | −28.2863 | − | 28.2863i | −0.941832 | − | 0.941832i | ||||
\(903\) | 28.6472 | + | 35.0965i | 0.953319 | + | 1.16794i | ||||
\(904\) | −33.6830 | + | 9.02532i | −1.12028 | + | 0.300178i | ||||
\(905\) | 8.48385 | + | 31.6622i | 0.282013 | + | 1.05249i | ||||
\(906\) | 29.5020 | + | 36.5682i | 0.980137 | + | 1.21490i | ||||
\(907\) | −29.3398 | − | 16.9393i | −0.974212 | − | 0.562462i | −0.0736945 | − | 0.997281i | \(-0.523479\pi\) |
−0.900518 | + | 0.434819i | \(0.856812\pi\) | |||||||
\(908\) | −62.1087 | + | 62.1087i | −2.06115 | + | 2.06115i | ||||
\(909\) | 0.799506 | − | 3.69496i | 0.0265179 | − | 0.122554i | ||||
\(910\) | 49.7537 | + | 22.8183i | 1.64932 | + | 0.756420i | ||||
\(911\) | 23.3371i | 0.773193i | 0.922249 | + | 0.386597i | \(0.126349\pi\) | ||||
−0.922249 | + | 0.386597i | \(0.873651\pi\) | |||||||
\(912\) | 5.04064 | − | 47.1303i | 0.166912 | − | 1.56064i | ||||
\(913\) | 4.64666 | − | 8.04825i | 0.153782 | − | 0.266358i | ||||
\(914\) | −55.9078 | −1.84927 | ||||||||
\(915\) | −7.83113 | + | 10.7373i | −0.258889 | + | 0.354965i | ||||
\(916\) | 9.51423 | + | 35.5076i | 0.314359 | + | 1.17320i | ||||
\(917\) | 22.7973 | − | 13.3363i | 0.752834 | − | 0.440402i | ||||
\(918\) | 17.3796 | − | 52.5082i | 0.573612 | − | 1.73303i | ||||
\(919\) | −21.2094 | − | 36.7358i | −0.699634 | − | 1.21180i | −0.968593 | − | 0.248650i | \(-0.920013\pi\) |
0.268959 | − | 0.963152i | \(-0.413320\pi\) | |||||||
\(920\) | 1.55133 | − | 2.68698i | 0.0511457 | − | 0.0885870i | ||||
\(921\) | −10.5192 | + | 14.4229i | −0.346619 | + | 0.475252i | ||||
\(922\) | −71.2622 | − | 41.1433i | −2.34690 | − | 1.35498i | ||||
\(923\) | −35.5982 | − | 29.8331i | −1.17173 | − | 0.981967i | ||||
\(924\) | −42.4712 | − | 4.29708i | −1.39720 | − | 0.141363i | ||||
\(925\) | −0.127976 | − | 0.0342912i | −0.00420784 | − | 0.00112749i | ||||
\(926\) | 45.6768i | 1.50103i | ||||||||
\(927\) | −29.1380 | − | 6.30481i | −0.957018 | − | 0.207077i | ||||
\(928\) | −36.3738 | − | 9.74634i | −1.19403 | − | 0.319939i | ||||
\(929\) | −2.51344 | + | 9.38029i | −0.0824634 | + | 0.307757i | −0.994822 | − | 0.101635i | \(-0.967593\pi\) |
0.912358 | + | 0.409392i | \(0.134259\pi\) | |||||||
\(930\) | −51.0317 | + | 69.9700i | −1.67340 | + | 2.29441i | ||||
\(931\) | 6.40208 | + | 22.8455i | 0.209820 | + | 0.748731i | ||||
\(932\) | −23.3782 | − | 13.4974i | −0.765779 | − | 0.442123i | ||||
\(933\) | 9.38848 | − | 7.57430i | 0.307365 | − | 0.247971i | ||||
\(934\) | −63.6217 | + | 17.0474i | −2.08177 | + | 0.557808i | ||||
\(935\) | −9.31566 | − | 16.1352i | −0.304655 | − | 0.527678i | ||||
\(936\) | 72.0983 | − | 9.90958i | 2.35661 | − | 0.323905i | ||||
\(937\) | 8.13270 | 0.265684 | 0.132842 | − | 0.991137i | \(-0.457590\pi\) | ||||
0.132842 | + | 0.991137i | \(0.457590\pi\) | |||||||
\(938\) | −27.0581 | − | 46.2537i | −0.883477 | − | 1.51024i | ||||
\(939\) | 12.3643 | + | 4.77215i | 0.403494 | + | 0.155733i | ||||
\(940\) | 93.6784 | − | 54.0853i | 3.05545 | − | 1.76407i | ||||
\(941\) | −5.82214 | + | 21.7285i | −0.189796 | + | 0.708330i | 0.803756 | + | 0.594959i | \(0.202832\pi\) |
−0.993553 | + | 0.113371i | \(0.963835\pi\) | |||||||
\(942\) | 17.4598 | + | 1.86734i | 0.568870 | + | 0.0608413i | ||||
\(943\) | −0.412304 | + | 1.53874i | −0.0134265 | + | 0.0501083i | ||||
\(944\) | −40.5462 | + | 40.5462i | −1.31967 | + | 1.31967i | ||||
\(945\) | 29.9972 | − | 6.38343i | 0.975808 | − | 0.207653i | ||||
\(946\) | 44.4422 | − | 25.6587i | 1.44494 | − | 0.834236i | ||||
\(947\) | 5.86432 | − | 5.86432i | 0.190565 | − | 0.190565i | −0.605375 | − | 0.795940i | \(-0.706977\pi\) |
0.795940 | + | 0.605375i | \(0.206977\pi\) | |||||||
\(948\) | 19.3228 | − | 50.0642i | 0.627576 | − | 1.62601i | ||||
\(949\) | 30.5744 | − | 11.1495i | 0.992486 | − | 0.361928i | ||||
\(950\) | −0.176598 | − | 0.101959i | −0.00572959 | − | 0.00330798i | ||||
\(951\) | 15.7521 | + | 35.5545i | 0.510798 | + | 1.15293i | ||||
\(952\) | −19.4726 | − | 71.0468i | −0.631112 | − | 2.30264i | ||||
\(953\) | −13.3170 | + | 23.0657i | −0.431379 | + | 0.747170i | −0.996992 | − | 0.0775004i | \(-0.975306\pi\) |
0.565613 | + | 0.824670i | \(0.308639\pi\) | |||||||
\(954\) | 27.1660 | − | 1.32423i | 0.879532 | − | 0.0428734i | ||||
\(955\) | −11.7912 | + | 11.7912i | −0.381553 | + | 0.381553i | ||||
\(956\) | −13.6806 | + | 13.6806i | −0.442464 | + | 0.442464i | ||||
\(957\) | 10.6092 | − | 14.5464i | 0.342947 | − | 0.470218i | ||||
\(958\) | 33.4260 | − | 57.8955i | 1.07994 | − | 1.87052i | ||||
\(959\) | −16.0123 | − | 58.4217i | −0.517065 | − | 1.88654i | ||||
\(960\) | −9.38595 | + | 4.15837i | −0.302930 | + | 0.134211i | ||||
\(961\) | 38.9124 | + | 22.4661i | 1.25524 | + | 0.724713i | ||||
\(962\) | −43.0112 | + | 30.1563i | −1.38674 | + | 0.972278i | ||||
\(963\) | 1.94098 | + | 6.04881i | 0.0625472 | + | 0.194920i | ||||
\(964\) | −1.91030 | + | 1.91030i | −0.0615268 | + | 0.0615268i | ||||
\(965\) | 51.1879 | − | 29.5533i | 1.64780 | − | 0.951356i | ||||
\(966\) | 0.999668 | + | 2.22201i | 0.0321638 | + | 0.0714920i | ||||
\(967\) | −16.2860 | + | 16.2860i | −0.523724 | + | 0.523724i | −0.918694 | − | 0.394970i | \(-0.870755\pi\) |
0.394970 | + | 0.918694i | \(0.370755\pi\) | |||||||
\(968\) | 12.0628 | − | 45.0189i | 0.387712 | − | 1.44696i | ||||
\(969\) | −2.58359 | + | 24.1567i | −0.0829968 | + | 0.776026i | ||||
\(970\) | 9.83095 | − | 36.6896i | 0.315653 | − | 1.17803i | ||||
\(971\) | 17.7142 | − | 10.2273i | 0.568475 | − | 0.328209i | −0.188065 | − | 0.982157i | \(-0.560222\pi\) |
0.756540 | + | 0.653947i | \(0.226888\pi\) | |||||||
\(972\) | 51.3411 | − | 50.4119i | 1.64677 | − | 1.61696i | ||||
\(973\) | 3.53795 | + | 6.04786i | 0.113422 | + | 0.193885i | ||||
\(974\) | −12.7044 | −0.407074 | ||||||||
\(975\) | 0.0404337 | − | 0.140368i | 0.00129492 | − | 0.00449536i | ||||
\(976\) | 13.8851 | + | 24.0497i | 0.444451 | + | 0.769812i | ||||
\(977\) | 14.4039 | − | 3.85952i | 0.460822 | − | 0.123477i | −0.0209367 | − | 0.999781i | \(-0.506665\pi\) |
0.481759 | + | 0.876304i | \(0.339998\pi\) | |||||||
\(978\) | 28.2280 | + | 34.9891i | 0.902632 | + | 1.11883i | ||||
\(979\) | −4.97794 | − | 2.87402i | −0.159096 | − | 0.0918539i | ||||
\(980\) | 50.3823 | − | 51.5470i | 1.60940 | − | 1.64661i | ||||
\(981\) | 17.7713 | − | 0.866273i | 0.567393 | − | 0.0276580i | ||||
\(982\) | −5.80650 | + | 21.6702i | −0.185293 | + | 0.691523i | ||||
\(983\) | 49.7503 | + | 13.3306i | 1.58679 | + | 0.425179i | 0.941019 | − | 0.338354i | \(-0.109870\pi\) |
0.645769 | + | 0.763533i | \(0.276537\pi\) | |||||||
\(984\) | 69.8960 | − | 56.3896i | 2.22820 | − | 1.79763i | ||||
\(985\) | − | 10.0155i | − | 0.319120i | ||||||
\(986\) | 52.9576 | + | 14.1899i | 1.68651 | + | 0.451900i | ||||
\(987\) | −4.84587 | + | 47.8953i | −0.154246 | + | 1.52452i | ||||
\(988\) | −52.9940 | + | 19.3252i | −1.68596 | + | 0.614816i | ||||
\(989\) | −1.76980 | − | 1.02180i | −0.0562765 | − | 0.0324913i | ||||
\(990\) | −1.69141 | − | 34.6987i | −0.0537566 | − | 1.10280i | ||||
\(991\) | −20.0271 | + | 34.6879i | −0.636181 | + | 1.10190i | 0.350083 | + | 0.936719i | \(0.386153\pi\) |
−0.986264 | + | 0.165178i | \(0.947180\pi\) | |||||||
\(992\) | 31.8539 | + | 55.1726i | 1.01136 | + | 1.75173i | ||||
\(993\) | −0.510837 | + | 4.77636i | −0.0162109 | + | 0.151573i | ||||
\(994\) | −75.6670 | + | 44.2647i | −2.40001 | + | 1.40399i | ||||
\(995\) | 2.47928 | + | 9.25280i | 0.0785985 | + | 0.293333i | ||||
\(996\) | 29.7447 | + | 21.6939i | 0.942498 | + | 0.687398i | ||||
\(997\) | −20.5607 | −0.651165 | −0.325582 | − | 0.945514i | \(-0.605560\pi\) | ||||
−0.325582 | + | 0.945514i | \(0.605560\pi\) | |||||||
\(998\) | −45.4603 | + | 78.7395i | −1.43902 | + | 2.49246i | ||||
\(999\) | −9.24830 | + | 27.9415i | −0.292603 | + | 0.884030i |
(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 | 273.2.bv.b.2.2 | ✓ | 128 | |
3.2 | odd | 2 | inner | 273.2.bv.b.2.31 | yes | 128 | |
7.4 | even | 3 | 273.2.bw.b.158.31 | yes | 128 | ||
13.7 | odd | 12 | 273.2.bw.b.254.2 | yes | 128 | ||
21.11 | odd | 6 | 273.2.bw.b.158.2 | yes | 128 | ||
39.20 | even | 12 | 273.2.bw.b.254.31 | yes | 128 | ||
91.46 | odd | 12 | inner | 273.2.bv.b.137.31 | yes | 128 | |
273.137 | even | 12 | inner | 273.2.bv.b.137.2 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bv.b.2.2 | ✓ | 128 | 1.1 | even | 1 | trivial | |
273.2.bv.b.2.31 | yes | 128 | 3.2 | odd | 2 | inner | |
273.2.bv.b.137.2 | yes | 128 | 273.137 | even | 12 | inner | |
273.2.bv.b.137.31 | yes | 128 | 91.46 | odd | 12 | inner | |
273.2.bw.b.158.2 | yes | 128 | 21.11 | odd | 6 | ||
273.2.bw.b.158.31 | yes | 128 | 7.4 | even | 3 | ||
273.2.bw.b.254.2 | yes | 128 | 13.7 | odd | 12 | ||
273.2.bw.b.254.31 | yes | 128 | 39.20 | even | 12 |