Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.16 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.16 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 1.30626 | + | 1.13741i | 0.754167 | + | 0.656682i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −0.604752 | − | 1.04746i | −0.270453 | − | 0.468439i | 0.698525 | − | 0.715586i | \(-0.253840\pi\) |
−0.968978 | + | 0.247147i | \(0.920507\pi\) | |||||||
\(6\) | −0.562548 | − | 1.63815i | −0.229659 | − | 0.668773i | ||||
\(7\) | −2.45540 | + | 0.985399i | −0.928054 | + | 0.372446i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.412611 | + | 2.97149i | 0.137537 | + | 0.990497i | ||||
\(10\) | 1.20950i | 0.382478i | ||||||||
\(11\) | − | 1.19922i | − | 0.361577i | −0.983522 | − | 0.180789i | \(-0.942135\pi\) | ||
0.983522 | − | 0.180789i | \(-0.0578650\pi\) | |||||||
\(12\) | −0.331895 | + | 1.69995i | −0.0958099 | + | 0.490735i | ||||
\(13\) | −1.92468 | + | 3.04887i | −0.533809 | + | 0.845605i | ||||
\(14\) | 2.61914 | + | 0.374319i | 0.699994 | + | 0.100041i | ||||
\(15\) | 0.401428 | − | 2.05610i | 0.103648 | − | 0.530883i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 2.61925 | + | 4.53667i | 0.635261 | + | 1.10030i | 0.986460 | + | 0.164003i | \(0.0524407\pi\) |
−0.351199 | + | 0.936301i | \(0.614226\pi\) | |||||||
\(18\) | 1.12841 | − | 2.77969i | 0.265970 | − | 0.655179i | ||||
\(19\) | 7.35805i | 1.68805i | 0.536302 | + | 0.844026i | \(0.319821\pi\) | ||||
−0.536302 | + | 0.844026i | \(0.680179\pi\) | |||||||
\(20\) | 0.604752 | − | 1.04746i | 0.135227 | − | 0.234219i | ||||
\(21\) | −4.32818 | − | 1.50561i | −0.944487 | − | 0.328550i | ||||
\(22\) | −0.599608 | + | 1.03855i | −0.127837 | + | 0.221420i | ||||
\(23\) | 3.13524 | + | 1.81013i | 0.653742 | + | 0.377438i | 0.789888 | − | 0.613251i | \(-0.210138\pi\) |
−0.136146 | + | 0.990689i | \(0.543472\pi\) | |||||||
\(24\) | 1.13741 | − | 1.30626i | 0.232172 | − | 0.266638i | ||||
\(25\) | 1.76855 | − | 3.06322i | 0.353710 | − | 0.612644i | ||||
\(26\) | 3.19125 | − | 1.67806i | 0.625856 | − | 0.329095i | ||||
\(27\) | −2.84082 | + | 4.35083i | −0.546716 | + | 0.837318i | ||||
\(28\) | −2.08108 | − | 1.63374i | −0.393287 | − | 0.308748i | ||||
\(29\) | −1.43268 | + | 0.827158i | −0.266042 | + | 0.153599i | −0.627088 | − | 0.778949i | \(-0.715753\pi\) |
0.361046 | + | 0.932548i | \(0.382420\pi\) | |||||||
\(30\) | −1.37570 | + | 1.57992i | −0.251167 | + | 0.288453i | ||||
\(31\) | −3.45662 | − | 1.99568i | −0.620827 | − | 0.358435i | 0.156364 | − | 0.987700i | \(-0.450023\pi\) |
−0.777191 | + | 0.629265i | \(0.783356\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 1.36400 | − | 1.56648i | 0.237441 | − | 0.272690i | ||||
\(34\) | − | 5.23850i | − | 0.898395i | ||||||
\(35\) | 2.51707 | + | 1.97601i | 0.425463 | + | 0.334007i | ||||
\(36\) | −2.36708 | + | 1.84308i | −0.394513 | + | 0.307179i | ||||
\(37\) | −4.50203 | + | 7.79774i | −0.740128 | + | 1.28194i | 0.212308 | + | 0.977203i | \(0.431902\pi\) |
−0.952436 | + | 0.304737i | \(0.901431\pi\) | |||||||
\(38\) | 3.67902 | − | 6.37226i | 0.596817 | − | 1.03372i | ||||
\(39\) | −5.98193 | + | 1.79347i | −0.957875 | + | 0.287185i | ||||
\(40\) | −1.04746 | + | 0.604752i | −0.165618 | + | 0.0956196i | ||||
\(41\) | 0.0914442 | + | 0.158386i | 0.0142812 | + | 0.0247357i | 0.873078 | − | 0.487581i | \(-0.162121\pi\) |
−0.858796 | + | 0.512317i | \(0.828787\pi\) | |||||||
\(42\) | 2.99551 | + | 3.46798i | 0.462218 | + | 0.535121i | ||||
\(43\) | 0.527263 | − | 0.913245i | 0.0804068 | − | 0.139269i | −0.823018 | − | 0.568015i | \(-0.807711\pi\) |
0.903425 | + | 0.428747i | \(0.141045\pi\) | |||||||
\(44\) | 1.03855 | − | 0.599608i | 0.156567 | − | 0.0903943i | ||||
\(45\) | 2.86299 | − | 2.22921i | 0.426790 | − | 0.332310i | ||||
\(46\) | −1.81013 | − | 3.13524i | −0.266889 | − | 0.462265i | ||||
\(47\) | −3.56307 | − | 6.17142i | −0.519728 | − | 0.900195i | −0.999737 | − | 0.0229314i | \(-0.992700\pi\) |
0.480009 | − | 0.877263i | \(-0.340633\pi\) | |||||||
\(48\) | −1.63815 | + | 0.562548i | −0.236447 | + | 0.0811967i | ||||
\(49\) | 5.05798 | − | 4.83910i | 0.722568 | − | 0.691300i | ||||
\(50\) | −3.06322 | + | 1.76855i | −0.433205 | + | 0.250111i | ||||
\(51\) | −1.73863 | + | 8.90520i | −0.243457 | + | 1.24698i | ||||
\(52\) | −3.60274 | − | 0.142382i | −0.499610 | − | 0.0197449i | ||||
\(53\) | 1.91564 | + | 1.10599i | 0.263133 | + | 0.151920i | 0.625763 | − | 0.780013i | \(-0.284788\pi\) |
−0.362630 | + | 0.931933i | \(0.618121\pi\) | |||||||
\(54\) | 4.63564 | − | 2.34752i | 0.630830 | − | 0.319457i | ||||
\(55\) | −1.25613 | + | 0.725228i | −0.169377 | + | 0.0977897i | ||||
\(56\) | 0.985399 | + | 2.45540i | 0.131680 | + | 0.328117i | ||||
\(57\) | −8.36910 | + | 9.61150i | −1.10851 | + | 1.27307i | ||||
\(58\) | 1.65432 | 0.217222 | ||||||||
\(59\) | −5.63264 | − | 9.75602i | −0.733308 | − | 1.27013i | −0.955462 | − | 0.295115i | \(-0.904642\pi\) |
0.222154 | − | 0.975012i | \(-0.428691\pi\) | |||||||
\(60\) | 1.98135 | − | 0.680403i | 0.255791 | − | 0.0878397i | ||||
\(61\) | 6.61123i | 0.846481i | 0.906017 | + | 0.423241i | \(0.139107\pi\) | ||||
−0.906017 | + | 0.423241i | \(0.860893\pi\) | |||||||
\(62\) | 1.99568 | + | 3.45662i | 0.253452 | + | 0.438991i | ||||
\(63\) | −3.94123 | − | 6.88961i | −0.496548 | − | 0.868009i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 4.35752 | + | 0.172212i | 0.540484 | + | 0.0213602i | ||||
\(66\) | −1.96450 | + | 0.674616i | −0.241813 | + | 0.0830395i | ||||
\(67\) | 10.7447 | 1.31268 | 0.656338 | − | 0.754467i | \(-0.272105\pi\) | ||||
0.656338 | + | 0.754467i | \(0.272105\pi\) | |||||||
\(68\) | −2.61925 | + | 4.53667i | −0.317630 | + | 0.550152i | ||||
\(69\) | 2.03657 | + | 5.93053i | 0.245174 | + | 0.713952i | ||||
\(70\) | −1.19184 | − | 2.96981i | −0.142453 | − | 0.354961i | ||||
\(71\) | −6.08827 | − | 3.51507i | −0.722545 | − | 0.417162i | 0.0931436 | − | 0.995653i | \(-0.470308\pi\) |
−0.815689 | + | 0.578491i | \(0.803642\pi\) | |||||||
\(72\) | 2.97149 | − | 0.412611i | 0.350193 | − | 0.0486266i | ||||
\(73\) | 5.40931 | + | 3.12307i | 0.633112 | + | 0.365527i | 0.781956 | − | 0.623333i | \(-0.214222\pi\) |
−0.148845 | + | 0.988861i | \(0.547555\pi\) | |||||||
\(74\) | 7.79774 | − | 4.50203i | 0.906468 | − | 0.523350i | ||||
\(75\) | 5.79431 | − | 1.98979i | 0.669069 | − | 0.229761i | ||||
\(76\) | −6.37226 | + | 3.67902i | −0.730948 | + | 0.422013i | ||||
\(77\) | 1.18171 | + | 2.94455i | 0.134668 | + | 0.335563i | ||||
\(78\) | 6.07724 | + | 1.43778i | 0.688112 | + | 0.162796i | ||||
\(79\) | 2.23131 | + | 3.86475i | 0.251042 | + | 0.434818i | 0.963813 | − | 0.266579i | \(-0.0858934\pi\) |
−0.712771 | + | 0.701397i | \(0.752560\pi\) | |||||||
\(80\) | 1.20950 | 0.135227 | ||||||||
\(81\) | −8.65951 | + | 2.45214i | −0.962167 | + | 0.272460i | ||||
\(82\) | − | 0.182888i | − | 0.0201966i | ||||||
\(83\) | 16.6675 | 1.82949 | 0.914747 | − | 0.404027i | \(-0.132390\pi\) | ||||
0.914747 | + | 0.404027i | \(0.132390\pi\) | |||||||
\(84\) | −0.860198 | − | 4.50112i | −0.0938553 | − | 0.491112i | ||||
\(85\) | 3.16799 | − | 5.48712i | 0.343617 | − | 0.595161i | ||||
\(86\) | −0.913245 | + | 0.527263i | −0.0984778 | + | 0.0568562i | ||||
\(87\) | −2.81226 | − | 0.549060i | −0.301506 | − | 0.0588654i | ||||
\(88\) | −1.19922 | −0.127837 | ||||||||
\(89\) | −3.59604 | + | 6.22852i | −0.381179 | + | 0.660222i | −0.991231 | − | 0.132139i | \(-0.957815\pi\) |
0.610052 | + | 0.792362i | \(0.291149\pi\) | |||||||
\(90\) | −3.59403 | + | 0.499054i | −0.378844 | + | 0.0526049i | ||||
\(91\) | 1.72149 | − | 9.38277i | 0.180461 | − | 0.983582i | ||||
\(92\) | 3.62026i | 0.377438i | ||||||||
\(93\) | −2.24533 | − | 6.53845i | −0.232830 | − | 0.678006i | ||||
\(94\) | 7.12615i | 0.735006i | ||||||||
\(95\) | 7.70727 | − | 4.44979i | 0.790749 | − | 0.456539i | ||||
\(96\) | 1.69995 | + | 0.331895i | 0.173501 | + | 0.0338739i | ||||
\(97\) | 11.8894 | + | 6.86436i | 1.20719 | + | 0.696970i | 0.962144 | − | 0.272541i | \(-0.0878642\pi\) |
0.245044 | + | 0.969512i | \(0.421198\pi\) | |||||||
\(98\) | −6.79989 | + | 1.66179i | −0.686892 | + | 0.167867i | ||||
\(99\) | 3.56346 | − | 0.494809i | 0.358141 | − | 0.0497302i | ||||
\(100\) | 3.53710 | 0.353710 | ||||||||
\(101\) | 3.25021 | 0.323408 | 0.161704 | − | 0.986839i | \(-0.448301\pi\) | ||||
0.161704 | + | 0.986839i | \(0.448301\pi\) | |||||||
\(102\) | 5.95830 | − | 6.84282i | 0.589960 | − | 0.677540i | ||||
\(103\) | −0.504870 | + | 0.291487i | −0.0497463 | + | 0.0287210i | −0.524667 | − | 0.851308i | \(-0.675810\pi\) |
0.474921 | + | 0.880029i | \(0.342477\pi\) | |||||||
\(104\) | 3.04887 | + | 1.92468i | 0.298967 | + | 0.188730i | ||||
\(105\) | 1.04041 | + | 5.44412i | 0.101534 | + | 0.531291i | ||||
\(106\) | −1.10599 | − | 1.91564i | −0.107424 | − | 0.186063i | ||||
\(107\) | −8.21634 | − | 4.74371i | −0.794304 | − | 0.458592i | 0.0471717 | − | 0.998887i | \(-0.484979\pi\) |
−0.841476 | + | 0.540295i | \(0.818313\pi\) | |||||||
\(108\) | −5.18834 | − | 0.284804i | −0.499248 | − | 0.0274053i | ||||
\(109\) | 6.23249 | − | 10.7950i | 0.596964 | − | 1.03397i | −0.396302 | − | 0.918120i | \(-0.629707\pi\) |
0.993266 | − | 0.115852i | \(-0.0369599\pi\) | |||||||
\(110\) | 1.45046 | 0.138295 | ||||||||
\(111\) | −14.7500 | + | 5.06521i | −1.40001 | + | 0.480768i | ||||
\(112\) | 0.374319 | − | 2.61914i | 0.0353698 | − | 0.247485i | ||||
\(113\) | −9.73622 | − | 5.62121i | −0.915907 | − | 0.528799i | −0.0335797 | − | 0.999436i | \(-0.510691\pi\) |
−0.882327 | + | 0.470637i | \(0.844024\pi\) | |||||||
\(114\) | 12.0536 | − | 4.13925i | 1.12892 | − | 0.387677i | ||||
\(115\) | − | 4.37872i | − | 0.408317i | ||||||
\(116\) | −1.43268 | − | 0.827158i | −0.133021 | − | 0.0767997i | ||||
\(117\) | −9.85383 | − | 4.46116i | −0.910987 | − | 0.412434i | ||||
\(118\) | 11.2653i | 1.03705i | ||||||||
\(119\) | −10.9017 | − | 8.55833i | −0.999360 | − | 0.784541i | ||||
\(120\) | −2.05610 | − | 0.401428i | −0.187695 | − | 0.0366452i | ||||
\(121\) | 9.56188 | 0.869262 | ||||||||
\(122\) | 3.30561 | − | 5.72549i | 0.299276 | − | 0.518362i | ||||
\(123\) | −0.0606998 | + | 0.310902i | −0.00547311 | + | 0.0280331i | ||||
\(124\) | − | 3.99136i | − | 0.358435i | ||||||
\(125\) | −10.3257 | −0.923554 | ||||||||
\(126\) | −0.0316014 | + | 7.93719i | −0.00281527 | + | 0.707101i | ||||
\(127\) | −5.39553 | − | 9.34534i | −0.478776 | − | 0.829265i | 0.520928 | − | 0.853601i | \(-0.325586\pi\) |
−0.999704 | + | 0.0243362i | \(0.992253\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 1.72747 | − | 0.593220i | 0.152095 | − | 0.0522301i | ||||
\(130\) | −3.68762 | − | 2.32790i | −0.323426 | − | 0.204170i | ||||
\(131\) | −9.42418 | − | 16.3232i | −0.823394 | − | 1.42616i | −0.903140 | − | 0.429346i | \(-0.858744\pi\) |
0.0797457 | − | 0.996815i | \(-0.474589\pi\) | |||||||
\(132\) | 2.03861 | + | 0.398014i | 0.177438 | + | 0.0346427i | ||||
\(133\) | −7.25062 | − | 18.0670i | −0.628708 | − | 1.56660i | ||||
\(134\) | −9.30520 | − | 5.37236i | −0.803846 | − | 0.464101i | ||||
\(135\) | 6.27532 | + | 0.344472i | 0.540093 | + | 0.0296474i | ||||
\(136\) | 4.53667 | − | 2.61925i | 0.389016 | − | 0.224599i | ||||
\(137\) | 9.25524 | − | 5.34351i | 0.790728 | − | 0.456527i | −0.0494906 | − | 0.998775i | \(-0.515760\pi\) |
0.840219 | + | 0.542247i | \(0.182426\pi\) | |||||||
\(138\) | 1.20155 | − | 6.15428i | 0.102282 | − | 0.523887i | ||||
\(139\) | −2.36204 | − | 1.36372i | −0.200345 | − | 0.115669i | 0.396471 | − | 0.918047i | \(-0.370235\pi\) |
−0.596817 | + | 0.802378i | \(0.703568\pi\) | |||||||
\(140\) | −0.452740 | + | 3.16786i | −0.0382635 | + | 0.267733i | ||||
\(141\) | 2.36513 | − | 12.1141i | 0.199180 | − | 1.02019i | ||||
\(142\) | 3.51507 | + | 6.08827i | 0.294978 | + | 0.510917i | ||||
\(143\) | 3.65626 | + | 2.30810i | 0.305751 | + | 0.193013i | ||||
\(144\) | −2.77969 | − | 1.12841i | −0.231641 | − | 0.0940345i | ||||
\(145\) | 1.73283 | + | 1.00045i | 0.143904 | + | 0.0830829i | ||||
\(146\) | −3.12307 | − | 5.40931i | −0.258467 | − | 0.447678i | ||||
\(147\) | 12.1110 | − | 0.568124i | 0.998902 | − | 0.0468581i | ||||
\(148\) | −9.00405 | −0.740128 | ||||||||
\(149\) | − | 1.51291i | − | 0.123943i | −0.998078 | − | 0.0619714i | \(-0.980261\pi\) | ||
0.998078 | − | 0.0619714i | \(-0.0197387\pi\) | |||||||
\(150\) | −6.01291 | − | 1.17395i | −0.490952 | − | 0.0958524i | ||||
\(151\) | 1.52530 | − | 2.64189i | 0.124127 | − | 0.214994i | −0.797264 | − | 0.603630i | \(-0.793720\pi\) |
0.921391 | + | 0.388636i | \(0.127054\pi\) | |||||||
\(152\) | 7.35805 | 0.596817 | ||||||||
\(153\) | −12.3999 | + | 9.65495i | −1.00248 | + | 0.780556i | ||||
\(154\) | 0.448889 | − | 3.14091i | 0.0361725 | − | 0.253102i | ||||
\(155\) | 4.82756i | 0.387759i | ||||||||
\(156\) | −4.54415 | − | 4.28377i | −0.363823 | − | 0.342976i | ||||
\(157\) | 2.30973 | + | 1.33352i | 0.184336 | + | 0.106427i | 0.589328 | − | 0.807894i | \(-0.299392\pi\) |
−0.404992 | + | 0.914320i | \(0.632726\pi\) | |||||||
\(158\) | − | 4.46262i | − | 0.355027i | ||||||
\(159\) | 1.24435 | + | 3.62357i | 0.0986833 | + | 0.287368i | ||||
\(160\) | −1.04746 | − | 0.604752i | −0.0828090 | − | 0.0478098i | ||||
\(161\) | −9.48196 | − | 1.35513i | −0.747283 | − | 0.106799i | ||||
\(162\) | 8.72542 | + | 2.20614i | 0.685534 | + | 0.173331i | ||||
\(163\) | −17.9191 | −1.40353 | −0.701766 | − | 0.712408i | \(-0.747605\pi\) | ||||
−0.701766 | + | 0.712408i | \(0.747605\pi\) | |||||||
\(164\) | −0.0914442 | + | 0.158386i | −0.00714059 | + | 0.0123679i | ||||
\(165\) | −2.46571 | − | 0.481399i | −0.191955 | − | 0.0374769i | ||||
\(166\) | −14.4345 | − | 8.33374i | −1.12033 | − | 0.646824i | ||||
\(167\) | 9.94539 | + | 17.2259i | 0.769597 | + | 1.33298i | 0.937782 | + | 0.347226i | \(0.112876\pi\) |
−0.168184 | + | 0.985756i | \(0.553790\pi\) | |||||||
\(168\) | −1.50561 | + | 4.32818i | −0.116160 | + | 0.333926i | ||||
\(169\) | −5.59124 | − | 11.7362i | −0.430096 | − | 0.902783i | ||||
\(170\) | −5.48712 | + | 3.16799i | −0.420843 | + | 0.242974i | ||||
\(171\) | −21.8644 | + | 3.03601i | −1.67201 | + | 0.232169i | ||||
\(172\) | 1.05453 | 0.0804068 | ||||||||
\(173\) | 17.5486 | 1.33419 | 0.667096 | − | 0.744971i | \(-0.267537\pi\) | ||||
0.667096 | + | 0.744971i | \(0.267537\pi\) | |||||||
\(174\) | 2.16096 | + | 1.88163i | 0.163822 | + | 0.142646i | ||||
\(175\) | −1.32400 | + | 9.26416i | −0.100085 | + | 0.700305i | ||||
\(176\) | 1.03855 | + | 0.599608i | 0.0782837 | + | 0.0451971i | ||||
\(177\) | 3.73890 | − | 19.1505i | 0.281033 | − | 1.43944i | ||||
\(178\) | 6.22852 | − | 3.59604i | 0.466848 | − | 0.269535i | ||||
\(179\) | 22.9984i | 1.71898i | 0.511152 | + | 0.859490i | \(0.329219\pi\) | ||||
−0.511152 | + | 0.859490i | \(0.670781\pi\) | |||||||
\(180\) | 3.36205 | + | 1.36482i | 0.250592 | + | 0.101728i | ||||
\(181\) | 7.49251i | 0.556914i | 0.960449 | + | 0.278457i | \(0.0898230\pi\) | ||||
−0.960449 | + | 0.278457i | \(0.910177\pi\) | |||||||
\(182\) | −6.18224 | + | 7.26498i | −0.458258 | + | 0.538516i | ||||
\(183\) | −7.51966 | + | 8.63596i | −0.555869 | + | 0.638388i | ||||
\(184\) | 1.81013 | − | 3.13524i | 0.133445 | − | 0.231133i | ||||
\(185\) | 10.8904 | 0.800680 | ||||||||
\(186\) | −1.32471 | + | 6.78513i | −0.0971327 | + | 0.497510i | ||||
\(187\) | 5.44045 | − | 3.14104i | 0.397845 | − | 0.229696i | ||||
\(188\) | 3.56307 | − | 6.17142i | 0.259864 | − | 0.450097i | ||||
\(189\) | 2.68804 | − | 13.4824i | 0.195526 | − | 0.980699i | ||||
\(190\) | −8.89958 | −0.645644 | ||||||||
\(191\) | − | 20.6038i | − | 1.49084i | −0.666596 | − | 0.745419i | \(-0.732249\pi\) | ||
0.666596 | − | 0.745419i | \(-0.267751\pi\) | |||||||
\(192\) | −1.30626 | − | 1.13741i | −0.0942709 | − | 0.0820853i | ||||
\(193\) | 7.99346 | 0.575382 | 0.287691 | − | 0.957723i | \(-0.407112\pi\) | ||||
0.287691 | + | 0.957723i | \(0.407112\pi\) | |||||||
\(194\) | −6.86436 | − | 11.8894i | −0.492833 | − | 0.853611i | ||||
\(195\) | 5.49617 | + | 5.18123i | 0.393589 | + | 0.371036i | ||||
\(196\) | 6.71977 | + | 1.96079i | 0.479984 | + | 0.140056i | ||||
\(197\) | 12.3941 | − | 7.15573i | 0.883042 | − | 0.509825i | 0.0113819 | − | 0.999935i | \(-0.496377\pi\) |
0.871660 | + | 0.490111i | \(0.163044\pi\) | |||||||
\(198\) | −3.33345 | − | 1.35321i | −0.236898 | − | 0.0961686i | ||||
\(199\) | 2.84181 | − | 1.64072i | 0.201451 | − | 0.116308i | −0.395881 | − | 0.918302i | \(-0.629561\pi\) |
0.597332 | + | 0.801994i | \(0.296227\pi\) | |||||||
\(200\) | −3.06322 | − | 1.76855i | −0.216602 | − | 0.125055i | ||||
\(201\) | 14.0353 | + | 12.2211i | 0.989977 | + | 0.862011i | ||||
\(202\) | −2.81477 | − | 1.62511i | −0.198046 | − | 0.114342i | ||||
\(203\) | 2.70272 | − | 3.44277i | 0.189694 | − | 0.241635i | ||||
\(204\) | −8.58145 | + | 2.94690i | −0.600822 | + | 0.206324i | ||||
\(205\) | 0.110602 | − | 0.191568i | 0.00772478 | − | 0.0133797i | ||||
\(206\) | 0.582974 | 0.0406177 | ||||||||
\(207\) | −4.08515 | + | 10.0632i | −0.283938 | + | 0.699441i | ||||
\(208\) | −1.67806 | − | 3.19125i | −0.116353 | − | 0.221274i | ||||
\(209\) | 8.82389 | 0.610361 | ||||||||
\(210\) | 1.82103 | − | 5.23495i | 0.125663 | − | 0.361246i | ||||
\(211\) | 5.52912 | + | 9.57673i | 0.380641 | + | 0.659289i | 0.991154 | − | 0.132717i | \(-0.0423702\pi\) |
−0.610513 | + | 0.792006i | \(0.709037\pi\) | |||||||
\(212\) | 2.21199i | 0.151920i | ||||||||
\(213\) | −3.95478 | − | 11.5164i | −0.270977 | − | 0.789092i | ||||
\(214\) | 4.74371 | + | 8.21634i | 0.324273 | + | 0.561658i | ||||
\(215\) | −1.27545 | −0.0869851 | ||||||||
\(216\) | 4.35083 | + | 2.84082i | 0.296037 | + | 0.193293i | ||||
\(217\) | 10.4539 | + | 1.49404i | 0.709658 | + | 0.101422i | ||||
\(218\) | −10.7950 | + | 6.23249i | −0.731129 | + | 0.422117i | ||||
\(219\) | 3.51375 | + | 10.2321i | 0.237437 | + | 0.691422i | ||||
\(220\) | −1.25613 | − | 0.725228i | −0.0846883 | − | 0.0488948i | ||||
\(221\) | −18.8729 | − | 0.745868i | −1.26953 | − | 0.0501725i | ||||
\(222\) | 15.3065 | + | 2.98840i | 1.02730 | + | 0.200568i | ||||
\(223\) | −10.5899 | + | 6.11409i | −0.709153 | + | 0.409429i | −0.810747 | − | 0.585396i | \(-0.800939\pi\) |
0.101595 | + | 0.994826i | \(0.467606\pi\) | |||||||
\(224\) | −1.63374 | + | 2.08108i | −0.109159 | + | 0.139048i | ||||
\(225\) | 9.83205 | + | 3.99131i | 0.655470 | + | 0.266088i | ||||
\(226\) | 5.62121 | + | 9.73622i | 0.373917 | + | 0.647644i | ||||
\(227\) | 14.5055 | + | 25.1243i | 0.962766 | + | 1.66756i | 0.715500 | + | 0.698613i | \(0.246199\pi\) |
0.247266 | + | 0.968948i | \(0.420468\pi\) | |||||||
\(228\) | −12.5083 | − | 2.44210i | −0.828386 | − | 0.161732i | ||||
\(229\) | 24.0075 | − | 13.8607i | 1.58646 | − | 0.915943i | 0.592576 | − | 0.805515i | \(-0.298111\pi\) |
0.993884 | − | 0.110428i | \(-0.0352222\pi\) | |||||||
\(230\) | −2.18936 | + | 3.79208i | −0.144362 | + | 0.250042i | ||||
\(231\) | −1.80555 | + | 5.19042i | −0.118796 | + | 0.341505i | ||||
\(232\) | 0.827158 | + | 1.43268i | 0.0543056 | + | 0.0940601i | ||||
\(233\) | 3.05589 | − | 1.76432i | 0.200198 | − | 0.115584i | −0.396550 | − | 0.918013i | \(-0.629793\pi\) |
0.596748 | + | 0.802429i | \(0.296459\pi\) | |||||||
\(234\) | 6.30309 | + | 8.79039i | 0.412046 | + | 0.574646i | ||||
\(235\) | −4.30955 | + | 7.46436i | −0.281124 | + | 0.486921i | ||||
\(236\) | 5.63264 | − | 9.75602i | 0.366654 | − | 0.635063i | ||||
\(237\) | −1.48112 | + | 7.58626i | −0.0962093 | + | 0.492780i | ||||
\(238\) | 5.16201 | + | 12.8626i | 0.334603 | + | 0.833759i | ||||
\(239\) | 7.54413i | 0.487989i | 0.969777 | + | 0.243994i | \(0.0784579\pi\) | ||||
−0.969777 | + | 0.243994i | \(0.921542\pi\) | |||||||
\(240\) | 1.57992 | + | 1.37570i | 0.101983 | + | 0.0888009i | ||||
\(241\) | −10.6818 | + | 6.16717i | −0.688078 | + | 0.397262i | −0.802892 | − | 0.596125i | \(-0.796706\pi\) |
0.114814 | + | 0.993387i | \(0.463373\pi\) | |||||||
\(242\) | −8.28083 | − | 4.78094i | −0.532312 | − | 0.307331i | ||||
\(243\) | −14.1006 | − | 6.64626i | −0.904554 | − | 0.426358i | ||||
\(244\) | −5.72549 | + | 3.30561i | −0.366537 | + | 0.211620i | ||||
\(245\) | −8.12758 | − | 2.37158i | −0.519252 | − | 0.151515i | ||||
\(246\) | 0.208018 | − | 0.238899i | 0.0132628 | − | 0.0152316i | ||||
\(247\) | −22.4338 | − | 14.1619i | −1.42743 | − | 0.901098i | ||||
\(248\) | −1.99568 | + | 3.45662i | −0.126726 | + | 0.219495i | ||||
\(249\) | 21.7720 | + | 18.9577i | 1.37974 | + | 1.20140i | ||||
\(250\) | 8.94228 | + | 5.16283i | 0.565559 | + | 0.326526i | ||||
\(251\) | 5.07909 | − | 8.79724i | 0.320589 | − | 0.555277i | −0.660020 | − | 0.751248i | \(-0.729452\pi\) |
0.980610 | + | 0.195971i | \(0.0627858\pi\) | |||||||
\(252\) | 3.99596 | − | 6.85801i | 0.251722 | − | 0.432014i | ||||
\(253\) | 2.17074 | − | 3.75983i | 0.136473 | − | 0.236378i | ||||
\(254\) | 10.7911i | 0.677092i | ||||||||
\(255\) | 10.3793 | − | 3.56429i | 0.649976 | − | 0.223204i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −6.83862 | + | 11.8448i | −0.426581 | + | 0.738860i | −0.996567 | − | 0.0827945i | \(-0.973615\pi\) |
0.569985 | + | 0.821655i | \(0.306949\pi\) | |||||||
\(258\) | −1.79264 | − | 0.349992i | −0.111605 | − | 0.0217895i | ||||
\(259\) | 3.37039 | − | 23.5829i | 0.209426 | − | 1.46537i | ||||
\(260\) | 2.02962 | + | 3.85983i | 0.125872 | + | 0.239377i | ||||
\(261\) | −3.04903 | − | 3.91590i | −0.188730 | − | 0.242388i | ||||
\(262\) | 18.8484i | 1.16446i | ||||||||
\(263\) | − | 21.5058i | − | 1.32610i | −0.748574 | − | 0.663051i | \(-0.769261\pi\) | ||
0.748574 | − | 0.663051i | \(-0.230739\pi\) | |||||||
\(264\) | −1.56648 | − | 1.36400i | −0.0964104 | − | 0.0839482i | ||||
\(265\) | − | 2.67541i | − | 0.164349i | ||||||
\(266\) | −2.75426 | + | 19.2717i | −0.168874 | + | 1.18163i | ||||
\(267\) | −11.7817 | + | 4.04589i | −0.721029 | + | 0.247604i | ||||
\(268\) | 5.37236 | + | 9.30520i | 0.328169 | + | 0.568405i | ||||
\(269\) | 14.0784 | + | 24.3845i | 0.858373 | + | 1.48675i | 0.873480 | + | 0.486860i | \(0.161858\pi\) |
−0.0151065 | + | 0.999886i | \(0.504809\pi\) | |||||||
\(270\) | −5.26235 | − | 3.43598i | −0.320256 | − | 0.209107i | ||||
\(271\) | 2.61384 | + | 1.50910i | 0.158779 | + | 0.0916712i | 0.577284 | − | 0.816543i | \(-0.304112\pi\) |
−0.418505 | + | 0.908214i | \(0.637446\pi\) | |||||||
\(272\) | −5.23850 | −0.317630 | ||||||||
\(273\) | 12.9207 | − | 10.2983i | 0.781999 | − | 0.623280i | ||||
\(274\) | −10.6870 | −0.645627 | ||||||||
\(275\) | −3.67346 | − | 2.12087i | −0.221518 | − | 0.127894i | ||||
\(276\) | −4.11771 | + | 4.72899i | −0.247857 | + | 0.284652i | ||||
\(277\) | 5.66656 | + | 9.81478i | 0.340471 | + | 0.589713i | 0.984520 | − | 0.175271i | \(-0.0560802\pi\) |
−0.644049 | + | 0.764984i | \(0.722747\pi\) | |||||||
\(278\) | 1.36372 | + | 2.36204i | 0.0817906 | + | 0.141665i | ||||
\(279\) | 4.50390 | − | 11.0947i | 0.269642 | − | 0.664225i | ||||
\(280\) | 1.97601 | − | 2.51707i | 0.118089 | − | 0.150424i | ||||
\(281\) | 8.18525i | 0.488291i | 0.969739 | + | 0.244146i | \(0.0785075\pi\) | ||||
−0.969739 | + | 0.244146i | \(0.921493\pi\) | |||||||
\(282\) | −8.10533 | + | 9.30857i | −0.482665 | + | 0.554317i | ||||
\(283\) | 13.0035i | 0.772980i | 0.922294 | + | 0.386490i | \(0.126313\pi\) | ||||
−0.922294 | + | 0.386490i | \(0.873687\pi\) | |||||||
\(284\) | − | 7.03013i | − | 0.417162i | ||||||
\(285\) | 15.1289 | + | 2.95373i | 0.896158 | + | 0.174964i | ||||
\(286\) | −2.01236 | − | 3.82700i | −0.118993 | − | 0.226295i | ||||
\(287\) | −0.380605 | − | 0.298792i | −0.0224664 | − | 0.0176371i | ||||
\(288\) | 1.84308 | + | 2.36708i | 0.108604 | + | 0.139482i | ||||
\(289\) | −5.22092 | + | 9.04289i | −0.307113 | + | 0.531935i | ||||
\(290\) | −1.00045 | − | 1.73283i | −0.0587485 | − | 0.101755i | ||||
\(291\) | 7.72306 | + | 22.4897i | 0.452734 | + | 1.31837i | ||||
\(292\) | 6.24613i | 0.365527i | ||||||||
\(293\) | −9.77684 | + | 16.9340i | −0.571169 | + | 0.989294i | 0.425277 | + | 0.905063i | \(0.360177\pi\) |
−0.996446 | + | 0.0842309i | \(0.973157\pi\) | |||||||
\(294\) | −10.7725 | − | 5.56351i | −0.628267 | − | 0.324470i | ||||
\(295\) | −6.81270 | + | 11.7999i | −0.396651 | + | 0.687019i | ||||
\(296\) | 7.79774 | + | 4.50203i | 0.453234 | + | 0.261675i | ||||
\(297\) | 5.21759 | + | 3.40675i | 0.302755 | + | 0.197680i | ||||
\(298\) | −0.756457 | + | 1.31022i | −0.0438204 | + | 0.0758991i | ||||
\(299\) | −11.5532 | + | 6.07502i | −0.668137 | + | 0.351328i | ||||
\(300\) | 4.62036 | + | 4.02312i | 0.266757 | + | 0.232275i | ||||
\(301\) | −0.394729 | + | 2.76195i | −0.0227518 | + | 0.159196i | ||||
\(302\) | −2.64189 | + | 1.52530i | −0.152024 | + | 0.0877710i | ||||
\(303\) | 4.24561 | + | 3.69682i | 0.243904 | + | 0.212377i | ||||
\(304\) | −6.37226 | − | 3.67902i | −0.365474 | − | 0.211007i | ||||
\(305\) | 6.92500 | − | 3.99815i | 0.396524 | − | 0.228933i | ||||
\(306\) | 15.5661 | − | 2.16146i | 0.889857 | − | 0.123562i | ||||
\(307\) | − | 27.7274i | − | 1.58248i | −0.611503 | − | 0.791242i | \(-0.709435\pi\) | ||
0.611503 | − | 0.791242i | \(-0.290565\pi\) | |||||||
\(308\) | −1.95921 | + | 2.49566i | −0.111636 | + | 0.142204i | ||||
\(309\) | −0.991029 | − | 0.193486i | −0.0563776 | − | 0.0110070i | ||||
\(310\) | 2.41378 | − | 4.18079i | 0.137094 | − | 0.237453i | ||||
\(311\) | −3.82623 | + | 6.62722i | −0.216965 | + | 0.375795i | −0.953879 | − | 0.300192i | \(-0.902949\pi\) |
0.736913 | + | 0.675987i | \(0.236283\pi\) | |||||||
\(312\) | 1.79347 | + | 5.98193i | 0.101535 | + | 0.338660i | ||||
\(313\) | 3.76450 | − | 2.17344i | 0.212782 | − | 0.122850i | −0.389821 | − | 0.920890i | \(-0.627463\pi\) |
0.602604 | + | 0.798041i | \(0.294130\pi\) | |||||||
\(314\) | −1.33352 | − | 2.30973i | −0.0752550 | − | 0.130345i | ||||
\(315\) | −4.83313 | + | 8.29478i | −0.272316 | + | 0.467358i | ||||
\(316\) | −2.23131 | + | 3.86475i | −0.125521 | + | 0.217409i | ||||
\(317\) | 13.4867 | − | 7.78654i | 0.757488 | − | 0.437336i | −0.0709052 | − | 0.997483i | \(-0.522589\pi\) |
0.828393 | + | 0.560147i | \(0.189255\pi\) | |||||||
\(318\) | 0.734148 | − | 3.76028i | 0.0411690 | − | 0.210866i | ||||
\(319\) | 0.991941 | + | 1.71809i | 0.0555380 | + | 0.0961947i | ||||
\(320\) | 0.604752 | + | 1.04746i | 0.0338066 | + | 0.0585548i | ||||
\(321\) | −5.33712 | − | 15.5418i | −0.297889 | − | 0.867460i | ||||
\(322\) | 7.53405 | + | 5.91456i | 0.419856 | + | 0.329605i | ||||
\(323\) | −33.3810 | + | 19.2726i | −1.85737 | + | 1.07235i | ||||
\(324\) | −6.45336 | − | 6.27328i | −0.358520 | − | 0.348516i | ||||
\(325\) | 5.93548 | + | 11.2878i | 0.329241 | + | 0.626134i | ||||
\(326\) | 15.5184 | + | 8.95954i | 0.859484 | + | 0.496223i | ||||
\(327\) | 20.4195 | − | 7.01214i | 1.12920 | − | 0.387772i | ||||
\(328\) | 0.158386 | − | 0.0914442i | 0.00874540 | − | 0.00504916i | ||||
\(329\) | 14.8301 | + | 11.6423i | 0.817609 | + | 0.641859i | ||||
\(330\) | 1.89467 | + | 1.64976i | 0.104298 | + | 0.0908162i | ||||
\(331\) | −15.6922 | −0.862520 | −0.431260 | − | 0.902228i | \(-0.641931\pi\) | ||||
−0.431260 | + | 0.902228i | \(0.641931\pi\) | |||||||
\(332\) | 8.33374 | + | 14.4345i | 0.457374 | + | 0.792194i | ||||
\(333\) | −25.0285 | − | 10.1603i | −1.37155 | − | 0.556781i | ||||
\(334\) | − | 19.8908i | − | 1.08837i | ||||||
\(335\) | −6.49788 | − | 11.2547i | −0.355017 | − | 0.614908i | ||||
\(336\) | 3.46798 | − | 2.99551i | 0.189194 | − | 0.163419i | ||||
\(337\) | 0.251195 | 0.0136835 | 0.00684174 | − | 0.999977i | \(-0.497822\pi\) | ||||
0.00684174 | + | 0.999977i | \(0.497822\pi\) | |||||||
\(338\) | −1.02593 | + | 12.9595i | −0.0558033 | + | 0.704901i | ||||
\(339\) | −6.32440 | − | 18.4168i | −0.343494 | − | 1.00026i | ||||
\(340\) | 6.33598 | 0.343617 | ||||||||
\(341\) | −2.39325 | + | 4.14523i | −0.129602 | + | 0.224477i | ||||
\(342\) | 20.4531 | + | 8.30292i | 1.10598 | + | 0.448971i | ||||
\(343\) | −7.65091 | + | 16.8660i | −0.413110 | + | 0.910681i | ||||
\(344\) | −0.913245 | − | 0.527263i | −0.0492389 | − | 0.0284281i | ||||
\(345\) | 4.98038 | − | 5.71972i | 0.268135 | − | 0.307940i | ||||
\(346\) | −15.1975 | − | 8.77428i | −0.817023 | − | 0.471708i | ||||
\(347\) | 18.4144 | − | 10.6315i | 0.988535 | − | 0.570731i | 0.0836992 | − | 0.996491i | \(-0.473326\pi\) |
0.904836 | + | 0.425760i | \(0.139993\pi\) | |||||||
\(348\) | −0.930632 | − | 2.71002i | −0.0498871 | − | 0.145272i | ||||
\(349\) | −3.33934 | + | 1.92797i | −0.178751 | + | 0.103202i | −0.586706 | − | 0.809800i | \(-0.699575\pi\) |
0.407955 | + | 0.913002i | \(0.366242\pi\) | |||||||
\(350\) | 5.77870 | − | 7.36099i | 0.308885 | − | 0.393462i | ||||
\(351\) | −7.79748 | − | 17.0352i | −0.416199 | − | 0.909274i | ||||
\(352\) | −0.599608 | − | 1.03855i | −0.0319592 | − | 0.0553550i | ||||
\(353\) | 8.71387 | 0.463792 | 0.231896 | − | 0.972741i | \(-0.425507\pi\) | ||||
0.231896 | + | 0.972741i | \(0.425507\pi\) | |||||||
\(354\) | −12.8132 | + | 14.7154i | −0.681015 | + | 0.782112i | ||||
\(355\) | 8.50297i | 0.451291i | ||||||||
\(356\) | −7.19208 | −0.381179 | ||||||||
\(357\) | −4.50615 | − | 23.5791i | −0.238491 | − | 1.24794i | ||||
\(358\) | 11.4992 | − | 19.9172i | 0.607751 | − | 1.05266i | ||||
\(359\) | −17.7662 | + | 10.2573i | −0.937663 | + | 0.541360i | −0.889227 | − | 0.457466i | \(-0.848757\pi\) |
−0.0484360 | + | 0.998826i | \(0.515424\pi\) | |||||||
\(360\) | −2.22921 | − | 2.86299i | −0.117489 | − | 0.150893i | ||||
\(361\) | −35.1409 | −1.84952 | ||||||||
\(362\) | 3.74626 | − | 6.48871i | 0.196899 | − | 0.341039i | ||||
\(363\) | 12.4903 | + | 10.8758i | 0.655569 | + | 0.570829i | ||||
\(364\) | 8.98647 | − | 3.20053i | 0.471019 | − | 0.167753i | ||||
\(365\) | − | 7.55472i | − | 0.395432i | ||||||
\(366\) | 10.8302 | − | 3.71913i | 0.566103 | − | 0.194402i | ||||
\(367\) | − | 23.8743i | − | 1.24623i | −0.782131 | − | 0.623114i | \(-0.785867\pi\) | ||
0.782131 | − | 0.623114i | \(-0.214133\pi\) | |||||||
\(368\) | −3.13524 | + | 1.81013i | −0.163436 | + | 0.0943595i | ||||
\(369\) | −0.432911 | + | 0.337077i | −0.0225365 | + | 0.0175475i | ||||
\(370\) | −9.43139 | − | 5.44521i | −0.490314 | − | 0.283083i | ||||
\(371\) | −5.79350 | − | 0.827989i | −0.300784 | − | 0.0429871i | ||||
\(372\) | 4.53980 | − | 5.21374i | 0.235378 | − | 0.270320i | ||||
\(373\) | 3.06102 | 0.158493 | 0.0792467 | − | 0.996855i | \(-0.474749\pi\) | ||||
0.0792467 | + | 0.996855i | \(0.474749\pi\) | |||||||
\(374\) | −6.28209 | −0.324839 | ||||||||
\(375\) | −13.4879 | − | 11.7445i | −0.696515 | − | 0.606482i | ||||
\(376\) | −6.17142 | + | 3.56307i | −0.318267 | + | 0.183751i | ||||
\(377\) | 0.235545 | − | 5.96007i | 0.0121312 | − | 0.306959i | ||||
\(378\) | −9.06910 | + | 10.3321i | −0.466464 | + | 0.531424i | ||||
\(379\) | 8.74613 | + | 15.1487i | 0.449259 | + | 0.778139i | 0.998338 | − | 0.0576314i | \(-0.0183548\pi\) |
−0.549079 | + | 0.835770i | \(0.685021\pi\) | |||||||
\(380\) | 7.70727 | + | 4.44979i | 0.395374 | + | 0.228270i | ||||
\(381\) | 3.58150 | − | 18.3443i | 0.183486 | − | 0.939808i | ||||
\(382\) | −10.3019 | + | 17.8434i | −0.527091 | + | 0.912948i | ||||
\(383\) | −28.4752 | −1.45501 | −0.727506 | − | 0.686101i | \(-0.759321\pi\) | ||||
−0.727506 | + | 0.686101i | \(0.759321\pi\) | |||||||
\(384\) | 0.562548 | + | 1.63815i | 0.0287074 | + | 0.0835966i | ||||
\(385\) | 2.36967 | − | 3.01851i | 0.120769 | − | 0.153838i | ||||
\(386\) | −6.92254 | − | 3.99673i | −0.352348 | − | 0.203428i | ||||
\(387\) | 2.93125 | + | 1.18994i | 0.149004 | + | 0.0604881i | ||||
\(388\) | 13.7287i | 0.696970i | ||||||||
\(389\) | −31.0564 | − | 17.9304i | −1.57462 | − | 0.909107i | −0.995591 | − | 0.0938003i | \(-0.970098\pi\) |
−0.579029 | − | 0.815307i | \(-0.696568\pi\) | |||||||
\(390\) | −2.16921 | − | 7.23516i | −0.109842 | − | 0.366367i | ||||
\(391\) | 18.9647i | 0.959087i | ||||||||
\(392\) | −4.83910 | − | 5.05798i | −0.244411 | − | 0.255466i | ||||
\(393\) | 6.25568 | − | 32.0414i | 0.315557 | − | 1.61627i | ||||
\(394\) | −14.3115 | −0.721001 | ||||||||
\(395\) | 2.69878 | − | 4.67442i | 0.135790 | − | 0.235196i | ||||
\(396\) | 2.21025 | + | 2.83864i | 0.111069 | + | 0.142647i | ||||
\(397\) | 33.2599i | 1.66927i | 0.550806 | + | 0.834633i | \(0.314320\pi\) | ||||
−0.550806 | + | 0.834633i | \(0.685680\pi\) | |||||||
\(398\) | −3.28144 | −0.164484 | ||||||||
\(399\) | 11.0783 | − | 31.8470i | 0.554610 | − | 1.59434i | ||||
\(400\) | 1.76855 | + | 3.06322i | 0.0884276 | + | 0.153161i | ||||
\(401\) | −5.40499 | − | 3.12057i | −0.269912 | − | 0.155834i | 0.358936 | − | 0.933362i | \(-0.383140\pi\) |
−0.628848 | + | 0.777528i | \(0.716473\pi\) | |||||||
\(402\) | −6.04441 | − | 17.6015i | −0.301468 | − | 0.877881i | ||||
\(403\) | 12.7374 | − | 6.69775i | 0.634497 | − | 0.333639i | ||||
\(404\) | 1.62511 | + | 2.81477i | 0.0808521 | + | 0.140040i | ||||
\(405\) | 7.80537 | + | 7.58756i | 0.387852 | + | 0.377029i | ||||
\(406\) | −4.06201 | + | 1.63016i | −0.201594 | + | 0.0809036i | ||||
\(407\) | 9.35117 | + | 5.39890i | 0.463520 | + | 0.267614i | ||||
\(408\) | 8.90520 | + | 1.73863i | 0.440873 | + | 0.0860751i | ||||
\(409\) | 26.8373 | − | 15.4945i | 1.32702 | − | 0.766154i | 0.342180 | − | 0.939634i | \(-0.388835\pi\) |
0.984837 | + | 0.173481i | \(0.0555014\pi\) | |||||||
\(410\) | −0.191568 | + | 0.110602i | −0.00946088 | + | 0.00546224i | ||||
\(411\) | 18.1675 | + | 3.54697i | 0.896135 | + | 0.174959i | ||||
\(412\) | −0.504870 | − | 0.291487i | −0.0248732 | − | 0.0143605i | ||||
\(413\) | 23.4440 | + | 18.4045i | 1.15360 | + | 0.905628i | ||||
\(414\) | 8.56945 | − | 6.67241i | 0.421165 | − | 0.327931i | ||||
\(415\) | −10.0797 | − | 17.4585i | −0.494792 | − | 0.857006i | ||||
\(416\) | −0.142382 | + | 3.60274i | −0.00698086 | + | 0.176639i | ||||
\(417\) | −1.53432 | − | 4.46797i | −0.0751358 | − | 0.218797i | ||||
\(418\) | −7.64171 | − | 4.41194i | −0.373768 | − | 0.215795i | ||||
\(419\) | 12.6145 | + | 21.8489i | 0.616258 | + | 1.06739i | 0.990162 | + | 0.139923i | \(0.0446856\pi\) |
−0.373904 | + | 0.927467i | \(0.621981\pi\) | |||||||
\(420\) | −4.19454 | + | 3.62308i | −0.204672 | + | 0.176788i | ||||
\(421\) | −8.22465 | −0.400845 | −0.200422 | − | 0.979710i | \(-0.564231\pi\) | ||||
−0.200422 | + | 0.979710i | \(0.564231\pi\) | |||||||
\(422\) | − | 11.0582i | − | 0.538307i | ||||||
\(423\) | 16.8682 | − | 13.1340i | 0.820158 | − | 0.638598i | ||||
\(424\) | 1.10599 | − | 1.91564i | 0.0537118 | − | 0.0930316i | ||||
\(425\) | 18.5291 | 0.898793 | ||||||||
\(426\) | −2.33327 | + | 11.9509i | −0.113047 | + | 0.579023i | ||||
\(427\) | −6.51470 | − | 16.2332i | −0.315268 | − | 0.785580i | ||||
\(428\) | − | 9.48742i | − | 0.458592i | ||||||
\(429\) | 2.15076 | + | 7.17362i | 0.103839 | + | 0.346346i | ||||
\(430\) | 1.10457 | + | 0.637726i | 0.0532673 | + | 0.0307539i | ||||
\(431\) | − | 19.9545i | − | 0.961177i | −0.876946 | − | 0.480588i | \(-0.840423\pi\) | ||
0.876946 | − | 0.480588i | \(-0.159577\pi\) | |||||||
\(432\) | −2.34752 | − | 4.63564i | −0.112945 | − | 0.223032i | ||||
\(433\) | 19.2106 | + | 11.0912i | 0.923202 | + | 0.533011i | 0.884655 | − | 0.466246i | \(-0.154394\pi\) |
0.0385467 | + | 0.999257i | \(0.487727\pi\) | |||||||
\(434\) | −8.30634 | − | 6.52084i | −0.398717 | − | 0.313010i | ||||
\(435\) | 1.12560 | + | 3.27778i | 0.0539685 | + | 0.157157i | ||||
\(436\) | 12.4650 | 0.596964 | ||||||||
\(437\) | −13.3190 | + | 23.0692i | −0.637135 | + | 1.10355i | ||||
\(438\) | 2.07306 | − | 10.6181i | 0.0990547 | − | 0.507354i | ||||
\(439\) | −23.6668 | − | 13.6641i | −1.12956 | − | 0.652150i | −0.185733 | − | 0.982600i | \(-0.559466\pi\) |
−0.943823 | + | 0.330451i | \(0.892799\pi\) | |||||||
\(440\) | 0.725228 | + | 1.25613i | 0.0345739 | + | 0.0598837i | ||||
\(441\) | 16.4663 | + | 13.0331i | 0.784110 | + | 0.620622i | ||||
\(442\) | 15.9715 | + | 10.0824i | 0.759687 | + | 0.479571i | ||||
\(443\) | −19.5551 | + | 11.2902i | −0.929093 | + | 0.536412i | −0.886525 | − | 0.462681i | \(-0.846887\pi\) |
−0.0425684 | + | 0.999094i | \(0.513554\pi\) | |||||||
\(444\) | −11.7616 | − | 10.2413i | −0.558181 | − | 0.486029i | ||||
\(445\) | 8.69884 | 0.412365 | ||||||||
\(446\) | 12.2282 | 0.579021 | ||||||||
\(447\) | 1.72080 | − | 1.97625i | 0.0813910 | − | 0.0934736i | ||||
\(448\) | 2.45540 | − | 0.985399i | 0.116007 | − | 0.0465557i | ||||
\(449\) | −7.97653 | − | 4.60525i | −0.376436 | − | 0.217335i | 0.299831 | − | 0.953992i | \(-0.403070\pi\) |
−0.676266 | + | 0.736657i | \(0.736403\pi\) | |||||||
\(450\) | −6.51915 | − | 8.37261i | −0.307316 | − | 0.394688i | ||||
\(451\) | 0.189939 | − | 0.109661i | 0.00894387 | − | 0.00516375i | ||||
\(452\) | − | 11.2424i | − | 0.528799i | ||||||
\(453\) | 4.99734 | − | 1.71610i | 0.234795 | − | 0.0806296i | ||||
\(454\) | − | 29.0111i | − | 1.36156i | ||||||
\(455\) | −10.8692 | + | 3.87105i | −0.509554 | + | 0.181478i | ||||
\(456\) | 9.61150 | + | 8.36910i | 0.450100 | + | 0.391919i | ||||
\(457\) | 3.32459 | − | 5.75837i | 0.155518 | − | 0.269365i | −0.777730 | − | 0.628599i | \(-0.783629\pi\) |
0.933248 | + | 0.359234i | \(0.116962\pi\) | |||||||
\(458\) | −27.7215 | −1.29534 | ||||||||
\(459\) | −27.1791 | − | 1.49195i | −1.26861 | − | 0.0696381i | ||||
\(460\) | 3.79208 | − | 2.18936i | 0.176807 | − | 0.102079i | ||||
\(461\) | 11.8184 | − | 20.4701i | 0.550439 | − | 0.953388i | −0.447804 | − | 0.894132i | \(-0.647794\pi\) |
0.998243 | − | 0.0592563i | \(-0.0188729\pi\) | |||||||
\(462\) | 4.15886 | − | 3.59227i | 0.193488 | − | 0.167127i | ||||
\(463\) | 8.09426 | 0.376172 | 0.188086 | − | 0.982153i | \(-0.439772\pi\) | ||||
0.188086 | + | 0.982153i | \(0.439772\pi\) | |||||||
\(464\) | − | 1.65432i | − | 0.0767997i | ||||||
\(465\) | −5.49090 | + | 6.30603i | −0.254634 | + | 0.292435i | ||||
\(466\) | −3.52864 | −0.163461 | ||||||||
\(467\) | −1.92869 | − | 3.34059i | −0.0892492 | − | 0.154584i | 0.817945 | − | 0.575297i | \(-0.195113\pi\) |
−0.907194 | + | 0.420713i | \(0.861780\pi\) | |||||||
\(468\) | −1.06344 | − | 10.7643i | −0.0491576 | − | 0.497578i | ||||
\(469\) | −26.3826 | + | 10.5878i | −1.21823 | + | 0.488901i | ||||
\(470\) | 7.46436 | − | 4.30955i | 0.344305 | − | 0.198785i | ||||
\(471\) | 1.50034 | + | 4.36902i | 0.0691320 | + | 0.201314i | ||||
\(472\) | −9.75602 | + | 5.63264i | −0.449057 | + | 0.259263i | ||||
\(473\) | −1.09518 | − | 0.632301i | −0.0503564 | − | 0.0290733i | ||||
\(474\) | 5.07582 | − | 5.82933i | 0.233140 | − | 0.267750i | ||||
\(475\) | 22.5393 | + | 13.0131i | 1.03418 | + | 0.597081i | ||||
\(476\) | 1.96087 | − | 13.7203i | 0.0898763 | − | 0.628871i | ||||
\(477\) | −2.49604 | + | 6.14864i | −0.114286 | + | 0.281527i | ||||
\(478\) | 3.77206 | − | 6.53341i | 0.172530 | − | 0.298831i | ||||
\(479\) | 8.22973 | 0.376026 | 0.188013 | − | 0.982167i | \(-0.439795\pi\) | ||||
0.188013 | + | 0.982167i | \(0.439795\pi\) | |||||||
\(480\) | −0.680403 | − | 1.98135i | −0.0310560 | − | 0.0904358i | ||||
\(481\) | −15.1094 | − | 28.7342i | −0.688928 | − | 1.31017i | ||||
\(482\) | 12.3343 | 0.561813 | ||||||||
\(483\) | −10.8445 | − | 12.5550i | −0.493443 | − | 0.571272i | ||||
\(484\) | 4.78094 | + | 8.28083i | 0.217315 | + | 0.376401i | ||||
\(485\) | − | 16.6049i | − | 0.753991i | ||||||
\(486\) | 8.88835 | + | 12.8061i | 0.403184 | + | 0.580898i | ||||
\(487\) | 11.5091 | + | 19.9343i | 0.521525 | + | 0.903308i | 0.999687 | + | 0.0250358i | \(0.00796999\pi\) |
−0.478162 | + | 0.878272i | \(0.658697\pi\) | |||||||
\(488\) | 6.61123 | 0.299276 | ||||||||
\(489\) | −23.4069 | − | 20.3813i | −1.05850 | − | 0.921674i | ||||
\(490\) | 5.85290 | + | 6.11764i | 0.264407 | + | 0.276367i | ||||
\(491\) | −25.3393 | + | 14.6297i | −1.14355 | + | 0.660228i | −0.947307 | − | 0.320328i | \(-0.896207\pi\) |
−0.196241 | + | 0.980556i | \(0.562873\pi\) | |||||||
\(492\) | −0.299599 | + | 0.102883i | −0.0135070 | + | 0.00463834i | ||||
\(493\) | −7.50509 | − | 4.33306i | −0.338012 | − | 0.195151i | ||||
\(494\) | 12.3473 | + | 23.4814i | 0.555530 | + | 1.05648i | ||||
\(495\) | −2.67330 | − | 3.43334i | −0.120156 | − | 0.154317i | ||||
\(496\) | 3.45662 | − | 1.99568i | 0.155207 | − | 0.0896086i | ||||
\(497\) | 18.4129 | + | 2.63151i | 0.825931 | + | 0.118039i | ||||
\(498\) | −9.37625 | − | 27.3039i | −0.420160 | − | 1.22352i | ||||
\(499\) | 15.3836 | + | 26.6451i | 0.688663 | + | 1.19280i | 0.972270 | + | 0.233859i | \(0.0751355\pi\) |
−0.283607 | + | 0.958941i | \(0.591531\pi\) | |||||||
\(500\) | −5.16283 | − | 8.94228i | −0.230889 | − | 0.399911i | ||||
\(501\) | −6.60165 | + | 33.8134i | −0.294940 | + | 1.51067i | ||||
\(502\) | −8.79724 | + | 5.07909i | −0.392640 | + | 0.226691i | ||||
\(503\) | −10.0612 | + | 17.4265i | −0.448606 | + | 0.777008i | −0.998296 | − | 0.0583607i | \(-0.981413\pi\) |
0.549690 | + | 0.835369i | \(0.314746\pi\) | |||||||
\(504\) | −6.88961 | + | 3.94123i | −0.306888 | + | 0.175556i | ||||
\(505\) | −1.96557 | − | 3.40447i | −0.0874668 | − | 0.151497i | ||||
\(506\) | −3.75983 | + | 2.17074i | −0.167145 | + | 0.0965010i | ||||
\(507\) | 6.04522 | − | 21.6900i | 0.268478 | − | 0.963286i | ||||
\(508\) | 5.39553 | − | 9.34534i | 0.239388 | − | 0.414632i | ||||
\(509\) | −5.34216 | + | 9.25288i | −0.236787 | + | 0.410127i | −0.959790 | − | 0.280717i | \(-0.909428\pi\) |
0.723004 | + | 0.690844i | \(0.242761\pi\) | |||||||
\(510\) | −10.7709 | − | 2.10288i | −0.476942 | − | 0.0931171i | ||||
\(511\) | −16.3595 | − | 2.33805i | −0.723701 | − | 0.103429i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −32.0136 | − | 20.9029i | −1.41344 | − | 0.922885i | ||||
\(514\) | 11.8448 | − | 6.83862i | 0.522453 | − | 0.301638i | ||||
\(515\) | 0.610642 | + | 0.352554i | 0.0269081 | + | 0.0155354i | ||||
\(516\) | 1.37748 | + | 1.19942i | 0.0606402 | + | 0.0528017i | ||||
\(517\) | −7.40087 | + | 4.27289i | −0.325490 | + | 0.187922i | ||||
\(518\) | −14.7103 | + | 18.7382i | −0.646332 | + | 0.823307i | ||||
\(519\) | 22.9229 | + | 19.9599i | 1.00620 | + | 0.876141i | ||||
\(520\) | 0.172212 | − | 4.35752i | 0.00755198 | − | 0.191090i | ||||
\(521\) | 9.16008 | − | 15.8657i | 0.401310 | − | 0.695090i | −0.592574 | − | 0.805516i | \(-0.701888\pi\) |
0.993884 | + | 0.110426i | \(0.0352215\pi\) | |||||||
\(522\) | 0.682588 | + | 4.91579i | 0.0298761 | + | 0.215158i | ||||
\(523\) | −1.26376 | − | 0.729631i | −0.0552603 | − | 0.0319045i | 0.472115 | − | 0.881537i | \(-0.343491\pi\) |
−0.527376 | + | 0.849632i | \(0.676824\pi\) | |||||||
\(524\) | 9.42418 | − | 16.3232i | 0.411697 | − | 0.713081i | ||||
\(525\) | −12.2666 | + | 10.5954i | −0.535359 | + | 0.462423i | ||||
\(526\) | −10.7529 | + | 18.6245i | −0.468848 | + | 0.812069i | ||||
\(527\) | − | 20.9087i | − | 0.910798i | ||||||
\(528\) | 0.674616 | + | 1.96450i | 0.0293589 | + | 0.0854938i | ||||
\(529\) | −4.94686 | − | 8.56821i | −0.215081 | − | 0.372531i | ||||
\(530\) | −1.33770 | + | 2.31697i | −0.0581061 | + | 0.100643i | ||||
\(531\) | 26.6658 | − | 20.7628i | 1.15720 | − | 0.901028i | ||||
\(532\) | 12.0211 | − | 15.3127i | 0.521182 | − | 0.663890i | ||||
\(533\) | −0.658899 | − | 0.0260400i | −0.0285401 | − | 0.00112792i | ||||
\(534\) | 12.2262 | + | 2.38702i | 0.529080 | + | 0.103296i | ||||
\(535\) | 11.4751i | 0.496110i | ||||||||
\(536\) | − | 10.7447i | − | 0.464101i | ||||||
\(537\) | −26.1585 | + | 30.0418i | −1.12882 | + | 1.29640i | ||||
\(538\) | − | 28.1567i | − | 1.21392i | ||||||
\(539\) | −5.80312 | − | 6.06560i | −0.249958 | − | 0.261264i | ||||
\(540\) | 2.83934 | + | 5.60682i | 0.122186 | + | 0.241279i | ||||
\(541\) | 16.5670 | + | 28.6949i | 0.712270 | + | 1.23369i | 0.964003 | + | 0.265892i | \(0.0856663\pi\) |
−0.251733 | + | 0.967797i | \(0.581000\pi\) | |||||||
\(542\) | −1.50910 | − | 2.61384i | −0.0648213 | − | 0.112274i | ||||
\(543\) | −8.52204 | + | 9.78714i | −0.365716 | + | 0.420007i | ||||
\(544\) | 4.53667 | + | 2.61925i | 0.194508 | + | 0.112299i | ||||
\(545\) | −15.0764 | −0.645803 | ||||||||
\(546\) | −16.3388 | + | 2.45819i | −0.699237 | + | 0.105201i | ||||
\(547\) | 29.1612 | 1.24684 | 0.623421 | − | 0.781886i | \(-0.285742\pi\) | ||||
0.623421 | + | 0.781886i | \(0.285742\pi\) | |||||||
\(548\) | 9.25524 | + | 5.34351i | 0.395364 | + | 0.228264i | ||||
\(549\) | −19.6452 | + | 2.72786i | −0.838437 | + | 0.116422i | ||||
\(550\) | 2.12087 | + | 3.67346i | 0.0904344 | + | 0.156637i | ||||
\(551\) | −6.08627 | − | 10.5417i | −0.259284 | − | 0.449093i | ||||
\(552\) | 5.93053 | − | 2.03657i | 0.252420 | − | 0.0866821i | ||||
\(553\) | −9.28708 | − | 7.29076i | −0.394927 | − | 0.310035i | ||||
\(554\) | − | 11.3331i | − | 0.481499i | ||||||
\(555\) | 14.2257 | + | 12.3868i | 0.603847 | + | 0.525792i | ||||
\(556\) | − | 2.72744i | − | 0.115669i | ||||||
\(557\) | 7.16241i | 0.303481i | 0.988420 | + | 0.151741i | \(0.0484878\pi\) | ||||
−0.988420 | + | 0.151741i | \(0.951512\pi\) | |||||||
\(558\) | −9.44787 | + | 7.35638i | −0.399960 | + | 0.311420i | ||||
\(559\) | 1.76956 | + | 3.36526i | 0.0748444 | + | 0.142335i | ||||
\(560\) | −2.96981 | + | 1.19184i | −0.125498 | + | 0.0503646i | ||||
\(561\) | 10.6793 | + | 2.08499i | 0.450879 | + | 0.0880285i | ||||
\(562\) | 4.09263 | − | 7.08863i | 0.172637 | − | 0.299016i | ||||
\(563\) | 19.6837 | + | 34.0933i | 0.829571 | + | 1.43686i | 0.898375 | + | 0.439229i | \(0.144748\pi\) |
−0.0688039 | + | 0.997630i | \(0.521918\pi\) | |||||||
\(564\) | 11.6737 | − | 4.00880i | 0.491552 | − | 0.168801i | ||||
\(565\) | 13.5977i | 0.572061i | ||||||||
\(566\) | 6.50177 | − | 11.2614i | 0.273290 | − | 0.473351i | ||||
\(567\) | 18.8462 | − | 14.5540i | 0.791467 | − | 0.611212i | ||||
\(568\) | −3.51507 | + | 6.08827i | −0.147489 | + | 0.255458i | ||||
\(569\) | −28.5546 | − | 16.4860i | −1.19707 | − | 0.691129i | −0.237170 | − | 0.971468i | \(-0.576220\pi\) |
−0.959901 | + | 0.280339i | \(0.909553\pi\) | |||||||
\(570\) | −11.6251 | − | 10.1224i | −0.486923 | − | 0.423983i | ||||
\(571\) | 17.1019 | − | 29.6214i | 0.715693 | − | 1.23962i | −0.246999 | − | 0.969016i | \(-0.579444\pi\) |
0.962692 | − | 0.270600i | \(-0.0872222\pi\) | |||||||
\(572\) | −0.170747 | + | 4.32046i | −0.00713929 | + | 0.180648i | ||||
\(573\) | 23.4349 | − | 26.9138i | 0.979007 | − | 1.12434i | ||||
\(574\) | 0.180218 | + | 0.449064i | 0.00752216 | + | 0.0187436i | ||||
\(575\) | 11.0897 | − | 6.40261i | 0.462470 | − | 0.267007i | ||||
\(576\) | −0.412611 | − | 2.97149i | −0.0171921 | − | 0.123812i | ||||
\(577\) | 30.4639 | + | 17.5883i | 1.26823 | + | 0.732212i | 0.974653 | − | 0.223723i | \(-0.0718212\pi\) |
0.293576 | + | 0.955936i | \(0.405155\pi\) | |||||||
\(578\) | 9.04289 | − | 5.22092i | 0.376135 | − | 0.217161i | ||||
\(579\) | 10.4415 | + | 9.09182i | 0.433934 | + | 0.377843i | ||||
\(580\) | 2.00090i | 0.0830829i | ||||||||
\(581\) | −40.9253 | + | 16.4241i | −1.69787 | + | 0.681388i | ||||
\(582\) | 4.55650 | − | 23.3382i | 0.188873 | − | 0.967400i | ||||
\(583\) | 1.32633 | − | 2.29726i | 0.0549308 | − | 0.0951429i | ||||
\(584\) | 3.12307 | − | 5.40931i | 0.129233 | − | 0.223839i | ||||
\(585\) | 1.28623 | + | 13.0194i | 0.0531793 | + | 0.538286i | ||||
\(586\) | 16.9340 | − | 9.77684i | 0.699537 | − | 0.403878i | ||||
\(587\) | −14.3923 | − | 24.9281i | −0.594032 | − | 1.02889i | −0.993683 | − | 0.112226i | \(-0.964202\pi\) |
0.399650 | − | 0.916668i | \(-0.369132\pi\) | |||||||
\(588\) | 6.54753 | + | 10.2044i | 0.270016 | + | 0.420823i | ||||
\(589\) | 14.6843 | − | 25.4340i | 0.605056 | − | 1.04799i | ||||
\(590\) | 11.7999 | − | 6.81270i | 0.485796 | − | 0.280474i | ||||
\(591\) | 24.3288 | + | 4.74991i | 1.00075 | + | 0.195385i | ||||
\(592\) | −4.50203 | − | 7.79774i | −0.185032 | − | 0.320485i | ||||
\(593\) | 12.0411 | + | 20.8558i | 0.494469 | + | 0.856445i | 0.999980 | − | 0.00637535i | \(-0.00202935\pi\) |
−0.505511 | + | 0.862820i | \(0.668696\pi\) | |||||||
\(594\) | −2.81519 | − | 5.55913i | −0.115508 | − | 0.228094i | ||||
\(595\) | −2.37168 | + | 16.5948i | −0.0972293 | + | 0.680320i | ||||
\(596\) | 1.31022 | − | 0.756457i | 0.0536688 | − | 0.0309857i | ||||
\(597\) | 5.57830 | + | 1.08910i | 0.228305 | + | 0.0445737i | ||||
\(598\) | 13.0428 | + | 0.515460i | 0.533362 | + | 0.0210787i | ||||
\(599\) | −0.694359 | − | 0.400888i | −0.0283707 | − | 0.0163798i | 0.485748 | − | 0.874099i | \(-0.338547\pi\) |
−0.514118 | + | 0.857719i | \(0.671881\pi\) | |||||||
\(600\) | −1.98979 | − | 5.79431i | −0.0812328 | − | 0.236552i | ||||
\(601\) | −12.0618 | + | 6.96387i | −0.492010 | + | 0.284062i | −0.725408 | − | 0.688319i | \(-0.758349\pi\) |
0.233398 | + | 0.972381i | \(0.425016\pi\) | |||||||
\(602\) | 1.72282 | − | 2.19455i | 0.0702168 | − | 0.0894433i | ||||
\(603\) | 4.43338 | + | 31.9278i | 0.180541 | + | 1.30020i | ||||
\(604\) | 3.05059 | 0.124127 | ||||||||
\(605\) | −5.78256 | − | 10.0157i | −0.235095 | − | 0.407196i | ||||
\(606\) | −1.82840 | − | 5.32434i | −0.0742737 | − | 0.216287i | ||||
\(607\) | 5.64804i | 0.229247i | 0.993409 | + | 0.114623i | \(0.0365661\pi\) | ||||
−0.993409 | + | 0.114623i | \(0.963434\pi\) | |||||||
\(608\) | 3.67902 | + | 6.37226i | 0.149204 | + | 0.258429i | ||||
\(609\) | 7.44627 | − | 1.42304i | 0.301738 | − | 0.0576645i | ||||
\(610\) | −7.99630 | −0.323761 | ||||||||
\(611\) | 25.6736 | + | 1.01464i | 1.03864 | + | 0.0410478i | ||||
\(612\) | −14.5614 | − | 5.91119i | −0.588610 | − | 0.238946i | ||||
\(613\) | 15.8467 | 0.640043 | 0.320022 | − | 0.947410i | \(-0.396310\pi\) | ||||
0.320022 | + | 0.947410i | \(0.396310\pi\) | |||||||
\(614\) | −13.8637 | + | 24.0126i | −0.559493 | + | 0.969070i | ||||
\(615\) | 0.362366 | − | 0.124438i | 0.0146120 | − | 0.00501782i | ||||
\(616\) | 2.94455 | − | 1.18171i | 0.118639 | − | 0.0476123i | ||||
\(617\) | −8.95185 | − | 5.16835i | −0.360388 | − | 0.208070i | 0.308863 | − | 0.951107i | \(-0.400052\pi\) |
−0.669251 | + | 0.743036i | \(0.733385\pi\) | |||||||
\(618\) | 0.761513 | + | 0.663078i | 0.0306325 | + | 0.0266729i | ||||
\(619\) | −5.47367 | − | 3.16022i | −0.220005 | − | 0.127020i | 0.385947 | − | 0.922521i | \(-0.373875\pi\) |
−0.605953 | + | 0.795501i | \(0.707208\pi\) | |||||||
\(620\) | −4.18079 | + | 2.41378i | −0.167905 | + | 0.0969398i | ||||
\(621\) | −16.7822 | + | 8.49864i | −0.673447 | + | 0.341039i | ||||
\(622\) | 6.62722 | − | 3.82623i | 0.265727 | − | 0.153418i | ||||
\(623\) | 2.69213 | − | 18.8371i | 0.107858 | − | 0.754691i | ||||
\(624\) | 1.43778 | − | 6.07724i | 0.0575571 | − | 0.243284i | ||||
\(625\) | −2.59830 | − | 4.50039i | −0.103932 | − | 0.180016i | ||||
\(626\) | −4.34687 | −0.173736 | ||||||||
\(627\) | 11.5263 | + | 10.0364i | 0.460314 | + | 0.400813i | ||||
\(628\) | 2.66704i | 0.106427i | ||||||||
\(629\) | −47.1677 | −1.88070 | ||||||||
\(630\) | 8.33300 | − | 4.76693i | 0.331995 | − | 0.189919i | ||||
\(631\) | 3.51416 | − | 6.08670i | 0.139897 | − | 0.242308i | −0.787561 | − | 0.616237i | \(-0.788656\pi\) |
0.927457 | + | 0.373929i | \(0.121990\pi\) | |||||||
\(632\) | 3.86475 | − | 2.23131i | 0.153731 | − | 0.0887568i | ||||
\(633\) | −3.67018 | + | 18.7985i | −0.145877 | + | 0.747174i | ||||
\(634\) | −15.5731 | −0.618486 | ||||||||
\(635\) | −6.52591 | + | 11.3032i | −0.258973 | + | 0.448554i | ||||
\(636\) | −2.51593 | + | 2.88942i | −0.0997631 | + | 0.114573i | ||||
\(637\) | 5.01883 | + | 24.7348i | 0.198853 | + | 0.980029i | ||||
\(638\) | − | 1.98388i | − | 0.0785427i | ||||||
\(639\) | 7.93290 | − | 19.5416i | 0.313821 | − | 0.773054i | ||||
\(640\) | − | 1.20950i | − | 0.0478098i | ||||||
\(641\) | 41.0657 | − | 23.7093i | 1.62200 | − | 0.936461i | 0.635613 | − | 0.772008i | \(-0.280747\pi\) |
0.986385 | − | 0.164453i | \(-0.0525859\pi\) | |||||||
\(642\) | −3.14883 | + | 16.1282i | −0.124274 | + | 0.636528i | ||||
\(643\) | 16.3622 | + | 9.44671i | 0.645261 | + | 0.372542i | 0.786638 | − | 0.617414i | \(-0.211820\pi\) |
−0.141377 | + | 0.989956i | \(0.545153\pi\) | |||||||
\(644\) | −3.56740 | − | 8.88918i | −0.140575 | − | 0.350283i | ||||
\(645\) | −1.66607 | − | 1.45071i | −0.0656013 | − | 0.0571215i | ||||
\(646\) | 38.5451 | 1.51654 | ||||||||
\(647\) | 21.4469 | 0.843165 | 0.421582 | − | 0.906790i | \(-0.361475\pi\) | ||||
0.421582 | + | 0.906790i | \(0.361475\pi\) | |||||||
\(648\) | 2.45214 | + | 8.65951i | 0.0963290 | + | 0.340177i | ||||
\(649\) | −11.6996 | + | 6.75475i | −0.459249 | + | 0.265147i | ||||
\(650\) | 0.503620 | − | 12.7433i | 0.0197536 | − | 0.499832i | ||||
\(651\) | 11.9562 | + | 13.8420i | 0.468599 | + | 0.542509i | ||||
\(652\) | −8.95954 | − | 15.5184i | −0.350883 | − | 0.607747i | ||||
\(653\) | 1.35464 | + | 0.782101i | 0.0530111 | + | 0.0306060i | 0.526271 | − | 0.850317i | \(-0.323590\pi\) |
−0.473260 | + | 0.880923i | \(0.656923\pi\) | |||||||
\(654\) | −21.1899 | − | 4.13707i | −0.828591 | − | 0.161772i | ||||
\(655\) | −11.3986 | + | 19.7429i | −0.445379 | + | 0.771419i | ||||
\(656\) | −0.182888 | −0.00714059 | ||||||||
\(657\) | −7.04822 | + | 17.3623i | −0.274977 | + | 0.677368i | ||||
\(658\) | −7.02210 | − | 17.4975i | −0.273750 | − | 0.682125i | ||||
\(659\) | 5.73747 | + | 3.31253i | 0.223500 | + | 0.129038i | 0.607570 | − | 0.794266i | \(-0.292144\pi\) |
−0.384070 | + | 0.923304i | \(0.625478\pi\) | |||||||
\(660\) | −0.815950 | − | 2.37607i | −0.0317608 | − | 0.0924882i | ||||
\(661\) | − | 23.7415i | − | 0.923439i | −0.887026 | − | 0.461719i | \(-0.847233\pi\) | ||
0.887026 | − | 0.461719i | \(-0.152767\pi\) | |||||||
\(662\) | 13.5898 | + | 7.84608i | 0.528183 | + | 0.304947i | ||||
\(663\) | −23.8045 | − | 22.4405i | −0.924491 | − | 0.871517i | ||||
\(664\) | − | 16.6675i | − | 0.646824i | ||||||
\(665\) | −14.5396 | + | 18.5208i | −0.563821 | + | 0.718204i | ||||
\(666\) | 16.5952 | + | 21.3133i | 0.643049 | + | 0.825874i | ||||
\(667\) | −5.98906 | −0.231897 | ||||||||
\(668\) | −9.94539 | + | 17.2259i | −0.384799 | + | 0.666491i | ||||
\(669\) | −20.7873 | − | 4.05847i | −0.803685 | − | 0.156910i | ||||
\(670\) | 12.9958i | 0.502070i | ||||||||
\(671\) | 7.92829 | 0.306068 | ||||||||
\(672\) | −4.50112 | + | 0.860198i | −0.173634 | + | 0.0331829i | ||||
\(673\) | 9.99916 | + | 17.3191i | 0.385439 | + | 0.667601i | 0.991830 | − | 0.127566i | \(-0.0407166\pi\) |
−0.606391 | + | 0.795167i | \(0.707383\pi\) | |||||||
\(674\) | −0.217541 | − | 0.125598i | −0.00837938 | − | 0.00483784i | ||||
\(675\) | 8.30343 | + | 16.3967i | 0.319599 | + | 0.631110i | ||||
\(676\) | 7.36821 | − | 10.7103i | 0.283393 | − | 0.411933i | ||||
\(677\) | 8.62455 | + | 14.9382i | 0.331469 | + | 0.574120i | 0.982800 | − | 0.184673i | \(-0.0591226\pi\) |
−0.651332 | + | 0.758793i | \(0.725789\pi\) | |||||||
\(678\) | −3.73131 | + | 19.1116i | −0.143300 | + | 0.733977i | ||||
\(679\) | −35.9574 | − | 5.13892i | −1.37992 | − | 0.197214i | ||||
\(680\) | −5.48712 | − | 3.16799i | −0.210421 | − | 0.121487i | ||||
\(681\) | −9.62864 | + | 49.3175i | −0.368970 | + | 1.88985i | ||||
\(682\) | 4.14523 | − | 2.39325i | 0.158729 | − | 0.0916423i | ||||
\(683\) | −8.54591 | + | 4.93398i | −0.327000 | + | 0.188794i | −0.654508 | − | 0.756055i | \(-0.727124\pi\) |
0.327508 | + | 0.944848i | \(0.393791\pi\) | |||||||
\(684\) | −13.5614 | − | 17.4171i | −0.518535 | − | 0.665959i | ||||
\(685\) | −11.1942 | − | 6.46300i | −0.427710 | − | 0.246938i | ||||
\(686\) | 15.0589 | − | 10.7810i | 0.574952 | − | 0.411619i | ||||
\(687\) | 47.1252 | + | 9.20062i | 1.79794 | + | 0.351026i | ||||
\(688\) | 0.527263 | + | 0.913245i | 0.0201017 | + | 0.0348172i | ||||
\(689\) | −7.05902 | + | 3.71186i | −0.268927 | + | 0.141410i | ||||
\(690\) | −7.17300 | + | 2.46324i | −0.273071 | + | 0.0937738i | ||||
\(691\) | −41.3606 | − | 23.8795i | −1.57343 | − | 0.908420i | −0.995744 | − | 0.0921613i | \(-0.970622\pi\) |
−0.577686 | − | 0.816259i | \(-0.696044\pi\) | |||||||
\(692\) | 8.77428 | + | 15.1975i | 0.333548 | + | 0.577722i | ||||
\(693\) | −8.26213 | + | 4.72638i | −0.313852 | + | 0.179540i | ||||
\(694\) | −21.2631 | −0.807136 | ||||||||
\(695\) | 3.29885i | 0.125133i | ||||||||
\(696\) | −0.549060 | + | 2.81226i | −0.0208121 | + | 0.106599i | ||||
\(697\) | −0.479030 | + | 0.829704i | −0.0181445 | + | 0.0314273i | ||||
\(698\) | 3.85594 | 0.145949 | ||||||||
\(699\) | 5.99853 | + | 1.17114i | 0.226885 | + | 0.0442966i | ||||
\(700\) | −8.68500 | + | 3.48546i | −0.328262 | + | 0.131738i | ||||
\(701\) | − | 27.3612i | − | 1.03342i | −0.856161 | − | 0.516709i | \(-0.827157\pi\) | ||
0.856161 | − | 0.516709i | \(-0.172843\pi\) | |||||||
\(702\) | −1.76480 | + | 18.6517i | −0.0666082 | + | 0.703963i | ||||
\(703\) | −57.3761 | − | 33.1261i | −2.16398 | − | 1.24938i | ||||
\(704\) | 1.19922i | 0.0451971i | ||||||||
\(705\) | −14.1194 | + | 4.84865i | −0.531767 | + | 0.182611i | ||||
\(706\) | −7.54643 | − | 4.35693i | −0.284014 | − | 0.163975i | ||||
\(707\) | −7.98058 | + | 3.20276i | −0.300140 | + | 0.120452i | ||||
\(708\) | 18.4542 | − | 6.33726i | 0.693553 | − | 0.238169i | ||||
\(709\) | 11.6657 | 0.438116 | 0.219058 | − | 0.975712i | \(-0.429702\pi\) | ||||
0.219058 | + | 0.975712i | \(0.429702\pi\) | |||||||
\(710\) | 4.25148 | − | 7.36379i | 0.159555 | − | 0.276358i | ||||
\(711\) | −10.5634 | + | 8.22496i | −0.396158 | + | 0.308460i | ||||
\(712\) | 6.22852 | + | 3.59604i | 0.233424 | + | 0.134767i | ||||
\(713\) | −7.22488 | − | 12.5139i | −0.270574 | − | 0.468647i | ||||
\(714\) | −7.88710 | + | 22.6732i | −0.295167 | + | 0.848522i | ||||
\(715\) | 0.206519 | − | 5.22561i | 0.00772337 | − | 0.195427i | ||||
\(716\) | −19.9172 | + | 11.4992i | −0.744340 | + | 0.429745i | ||||
\(717\) | −8.58074 | + | 9.85456i | −0.320454 | + | 0.368025i | ||||
\(718\) | 20.5146 | 0.765599 | ||||||||
\(719\) | 13.5634 | 0.505829 | 0.252914 | − | 0.967489i | \(-0.418611\pi\) | ||||
0.252914 | + | 0.967489i | \(0.418611\pi\) | |||||||
\(720\) | 0.499054 | + | 3.59403i | 0.0185986 | + | 0.133941i | ||||
\(721\) | 0.952427 | − | 1.21322i | 0.0354702 | − | 0.0451825i | ||||
\(722\) | 30.4329 | + | 17.5704i | 1.13260 | + | 0.653904i | ||||
\(723\) | −20.9678 | − | 4.09371i | −0.779801 | − | 0.152247i | ||||
\(724\) | −6.48871 | + | 3.74626i | −0.241151 | + | 0.139229i | ||||
\(725\) | 5.85149i | 0.217319i | ||||||||
\(726\) | −5.37901 | − | 15.6638i | −0.199634 | − | 0.581339i | ||||
\(727\) | − | 22.4921i | − | 0.834186i | −0.908864 | − | 0.417093i | \(-0.863049\pi\) | ||
0.908864 | − | 0.417093i | \(-0.136951\pi\) | |||||||
\(728\) | −9.38277 | − | 1.72149i | −0.347749 | − | 0.0638028i | ||||
\(729\) | −10.8595 | − | 24.7199i | −0.402204 | − | 0.915550i | ||||
\(730\) | −3.77736 | + | 6.54258i | −0.139806 | + | 0.242152i | ||||
\(731\) | 5.52412 | 0.204317 | ||||||||
\(732\) | −11.2388 | − | 2.19424i | −0.415398 | − | 0.0811013i | ||||
\(733\) | −5.25647 | + | 3.03483i | −0.194152 | + | 0.112094i | −0.593925 | − | 0.804520i | \(-0.702422\pi\) |
0.399773 | + | 0.916614i | \(0.369089\pi\) | |||||||
\(734\) | −11.9372 | + | 20.6758i | −0.440608 | + | 0.763156i | ||||
\(735\) | −7.91926 | − | 12.3423i | −0.292106 | − | 0.455251i | ||||
\(736\) | 3.62026 | 0.133445 | ||||||||
\(737\) | − | 12.8852i | − | 0.474634i | ||||||
\(738\) | 0.543451 | − | 0.0754617i | 0.0200047 | − | 0.00277778i | ||||
\(739\) | −41.5994 | −1.53026 | −0.765129 | − | 0.643877i | \(-0.777325\pi\) | ||||
−0.765129 | + | 0.643877i | \(0.777325\pi\) | |||||||
\(740\) | 5.44521 | + | 9.43139i | 0.200170 | + | 0.346705i | ||||
\(741\) | −13.1964 | − | 44.0153i | −0.484783 | − | 1.61694i | ||||
\(742\) | 4.60333 | + | 3.61381i | 0.168993 | + | 0.132667i | ||||
\(743\) | 47.1331 | − | 27.2123i | 1.72914 | − | 0.998322i | 0.835622 | − | 0.549305i | \(-0.185107\pi\) |
0.893523 | − | 0.449017i | \(-0.148226\pi\) | |||||||
\(744\) | −6.53845 | + | 2.24533i | −0.239711 | + | 0.0823178i | ||||
\(745\) | −1.58472 | + | 0.914937i | −0.0580596 | + | 0.0335207i | ||||
\(746\) | −2.65092 | − | 1.53051i | −0.0970570 | − | 0.0560359i | ||||
\(747\) | 6.87718 | + | 49.5273i | 0.251623 | + | 1.81211i | ||||
\(748\) | 5.44045 | + | 3.14104i | 0.198922 | + | 0.114848i | ||||
\(749\) | 24.8489 | + | 3.55132i | 0.907957 | + | 0.129762i | ||||
\(750\) | 5.80867 | + | 16.9150i | 0.212103 | + | 0.617648i | ||||
\(751\) | 2.92540 | − | 5.06695i | 0.106749 | − | 0.184896i | −0.807702 | − | 0.589591i | \(-0.799289\pi\) |
0.914452 | + | 0.404695i | \(0.132622\pi\) | |||||||
\(752\) | 7.12615 | 0.259864 | ||||||||
\(753\) | 16.6406 | − | 5.71446i | 0.606418 | − | 0.208246i | ||||
\(754\) | −3.18402 | + | 5.04380i | −0.115955 | + | 0.183684i | ||||
\(755\) | −3.68970 | −0.134282 | ||||||||
\(756\) | 13.0201 | − | 4.41328i | 0.473536 | − | 0.160509i | ||||
\(757\) | 1.38330 | + | 2.39594i | 0.0502768 | + | 0.0870820i | 0.890069 | − | 0.455827i | \(-0.150656\pi\) |
−0.839792 | + | 0.542909i | \(0.817323\pi\) | |||||||
\(758\) | − | 17.4923i | − | 0.635348i | ||||||
\(759\) | 7.11199 | − | 2.44228i | 0.258149 | − | 0.0886493i | ||||
\(760\) | −4.44979 | − | 7.70727i | −0.161411 | − | 0.279572i | ||||
\(761\) | −50.7252 | −1.83879 | −0.919393 | − | 0.393341i | \(-0.871319\pi\) | ||||
−0.919393 | + | 0.393341i | \(0.871319\pi\) | |||||||
\(762\) | −12.2738 | + | 14.0959i | −0.444634 | + | 0.510641i | ||||
\(763\) | −4.66588 | + | 32.6475i | −0.168916 | + | 1.18192i | ||||
\(764\) | 17.8434 | − | 10.3019i | 0.645552 | − | 0.372710i | ||||
\(765\) | 17.6121 | + | 7.14960i | 0.636765 | + | 0.258494i | ||||
\(766\) | 24.6602 | + | 14.2376i | 0.891009 | + | 0.514425i | ||||
\(767\) | 40.5859 | + | 1.60398i | 1.46547 | + | 0.0579162i | ||||
\(768\) | 0.331895 | − | 1.69995i | 0.0119762 | − | 0.0613418i | ||||
\(769\) | −6.29042 | + | 3.63178i | −0.226838 | + | 0.130965i | −0.609113 | − | 0.793084i | \(-0.708474\pi\) |
0.382274 | + | 0.924049i | \(0.375141\pi\) | |||||||
\(770\) | −3.56145 | + | 1.42928i | −0.128346 | + | 0.0515076i | ||||
\(771\) | −22.4054 | + | 7.69409i | −0.806910 | + | 0.277096i | ||||
\(772\) | 3.99673 | + | 6.92254i | 0.143845 | + | 0.249148i | ||||
\(773\) | −20.0043 | − | 34.6484i | −0.719504 | − | 1.24622i | −0.961197 | − | 0.275864i | \(-0.911036\pi\) |
0.241693 | − | 0.970353i | \(-0.422297\pi\) | |||||||
\(774\) | −1.94357 | − | 2.49615i | −0.0698602 | − | 0.0897221i | ||||
\(775\) | −12.2264 | + | 7.05892i | −0.439186 | + | 0.253564i | ||||
\(776\) | 6.86436 | − | 11.8894i | 0.246416 | − | 0.426806i | ||||
\(777\) | 31.2259 | − | 26.9717i | 1.12022 | − | 0.967606i | ||||
\(778\) | 17.9304 | + | 31.0564i | 0.642836 | + | 1.11342i | ||||
\(779\) | −1.16541 | + | 0.672851i | −0.0417552 | + | 0.0241074i | ||||
\(780\) | −1.73899 | + | 7.35044i | −0.0622660 | + | 0.263188i | ||||
\(781\) | −4.21532 | + | 7.30115i | −0.150836 | + | 0.261256i | ||||
\(782\) | 9.48236 | − | 16.4239i | 0.339088 | − | 0.587318i | ||||
\(783\) | 0.471157 | − | 8.58316i | 0.0168378 | − | 0.306737i | ||||
\(784\) | 1.66179 | + | 6.79989i | 0.0593498 | + | 0.242853i | ||||
\(785\) | − | 3.22580i | − | 0.115134i | ||||||
\(786\) | −21.4383 | + | 24.6208i | −0.764677 | + | 0.878194i | ||||
\(787\) | 3.70522 | − | 2.13921i | 0.132077 | − | 0.0762545i | −0.432506 | − | 0.901631i | \(-0.642371\pi\) |
0.564583 | + | 0.825377i | \(0.309037\pi\) | |||||||
\(788\) | 12.3941 | + | 7.15573i | 0.441521 | + | 0.254912i | ||||
\(789\) | 24.4608 | − | 28.0921i | 0.870828 | − | 1.00010i | ||||
\(790\) | −4.67442 | + | 2.69878i | −0.166308 | + | 0.0960182i | ||||
\(791\) | 29.4454 | + | 4.20825i | 1.04696 | + | 0.149628i | ||||
\(792\) | −0.494809 | − | 3.56346i | −0.0175823 | − | 0.126622i | ||||
\(793\) | −20.1568 | − | 12.7245i | −0.715789 | − | 0.451859i | ||||
\(794\) | 16.6300 | − | 28.8039i | 0.590175 | − | 1.02221i | ||||
\(795\) | 3.04303 | − | 3.49477i | 0.107925 | − | 0.123947i | ||||
\(796\) | 2.84181 | + | 1.64072i | 0.100725 | + | 0.0581538i | ||||
\(797\) | 20.0925 | − | 34.8013i | 0.711714 | − | 1.23273i | −0.252499 | − | 0.967597i | \(-0.581252\pi\) |
0.964213 | − | 0.265128i | \(-0.0854142\pi\) | |||||||
\(798\) | −25.5176 | + | 22.0411i | −0.903313 | + | 0.780247i | ||||
\(799\) | 18.6651 | − | 32.3290i | 0.660325 | − | 1.14372i | ||||
\(800\) | − | 3.53710i | − | 0.125055i | ||||||
\(801\) | −19.9918 | − | 8.11564i | −0.706374 | − | 0.286752i | ||||
\(802\) | 3.12057 | + | 5.40499i | 0.110191 | + | 0.190857i | ||||
\(803\) | 3.74523 | − | 6.48693i | 0.132166 | − | 0.228919i | ||||
\(804\) | −3.56612 | + | 18.2655i | −0.125767 | + | 0.644175i | ||||
\(805\) | 4.31478 | + | 10.7515i | 0.152076 | + | 0.378940i | ||||
\(806\) | −14.3798 | − | 0.568298i | −0.506508 | − | 0.0200175i | ||||
\(807\) | −9.34509 | + | 47.8652i | −0.328963 | + | 1.68493i | ||||
\(808\) | − | 3.25021i | − | 0.114342i | ||||||
\(809\) | 9.75337i | 0.342910i | 0.985192 | + | 0.171455i | \(0.0548469\pi\) | ||||
−0.985192 | + | 0.171455i | \(0.945153\pi\) | |||||||
\(810\) | −2.96587 | − | 10.4737i | −0.104210 | − | 0.368008i | ||||
\(811\) | − | 31.7759i | − | 1.11580i | −0.829907 | − | 0.557902i | \(-0.811607\pi\) | ||
0.829907 | − | 0.557902i | \(-0.188393\pi\) | |||||||
\(812\) | 4.33288 | + | 0.619242i | 0.152054 | + | 0.0217311i | ||||
\(813\) | 1.69788 | + | 4.94426i | 0.0595472 | + | 0.173403i | ||||
\(814\) | −5.39890 | − | 9.35117i | −0.189231 | − | 0.327758i | ||||
\(815\) | 10.8366 | + | 18.7695i | 0.379589 | + | 0.657468i | ||||
\(816\) | −6.84282 | − | 5.95830i | −0.239547 | − | 0.208582i | ||||
\(817\) | 6.71971 | + | 3.87962i | 0.235093 | + | 0.135731i | ||||
\(818\) | −30.9890 | −1.08350 | ||||||||
\(819\) | 28.5911 | + | 1.24397i | 0.999055 | + | 0.0434677i | ||||
\(820\) | 0.221204 | 0.00772478 | ||||||||
\(821\) | 18.7324 | + | 10.8151i | 0.653764 | + | 0.377451i | 0.789897 | − | 0.613240i | \(-0.210134\pi\) |
−0.136133 | + | 0.990691i | \(0.543467\pi\) | |||||||
\(822\) | −13.9600 | − | 12.1555i | −0.486911 | − | 0.423972i | ||||
\(823\) | −24.3797 | − | 42.2269i | −0.849822 | − | 1.47194i | −0.881366 | − | 0.472433i | \(-0.843376\pi\) |
0.0315441 | − | 0.999502i | \(-0.489958\pi\) | |||||||
\(824\) | 0.291487 | + | 0.504870i | 0.0101544 | + | 0.0175880i | ||||
\(825\) | −2.38619 | − | 6.94863i | −0.0830763 | − | 0.241920i | ||||
\(826\) | −11.1008 | − | 27.6608i | −0.386246 | − | 0.962442i | ||||
\(827\) | 12.1112i | 0.421149i | 0.977578 | + | 0.210575i | \(0.0675335\pi\) | ||||
−0.977578 | + | 0.210575i | \(0.932467\pi\) | |||||||
\(828\) | −10.7576 | + | 1.49376i | −0.373851 | + | 0.0519117i | ||||
\(829\) | 23.5007i | 0.816214i | 0.912934 | + | 0.408107i | \(0.133811\pi\) | ||||
−0.912934 | + | 0.408107i | \(0.866189\pi\) | |||||||
\(830\) | 20.1594i | 0.699742i | ||||||||
\(831\) | −3.76141 | + | 19.2658i | −0.130482 | + | 0.668323i | ||||
\(832\) | 1.92468 | − | 3.04887i | 0.0667261 | − | 0.105701i | ||||
\(833\) | 35.2015 | + | 10.2716i | 1.21966 | + | 0.355889i | ||||
\(834\) | −0.905226 | + | 4.63653i | −0.0313454 | + | 0.160550i | ||||
\(835\) | 12.0290 | − | 20.8348i | 0.416280 | − | 0.721018i | ||||
\(836\) | 4.41194 | + | 7.64171i | 0.152590 | + | 0.264294i | ||||
\(837\) | 18.5025 | − | 9.36981i | 0.639540 | − | 0.323868i | ||||
\(838\) | − | 25.2290i | − | 0.871521i | ||||||
\(839\) | −8.86105 | + | 15.3478i | −0.305917 | + | 0.529864i | −0.977465 | − | 0.211097i | \(-0.932296\pi\) |
0.671548 | + | 0.740961i | \(0.265630\pi\) | |||||||
\(840\) | 5.44412 | − | 1.04041i | 0.187840 | − | 0.0358976i | ||||
\(841\) | −13.1316 | + | 22.7446i | −0.452814 | + | 0.784298i | ||||
\(842\) | 7.12276 | + | 4.11232i | 0.245466 | + | 0.141720i | ||||
\(843\) | −9.30996 | + | 10.6920i | −0.320652 | + | 0.368253i | ||||
\(844\) | −5.52912 | + | 9.57673i | −0.190320 | + | 0.329644i | ||||
\(845\) | −8.91187 | + | 12.9541i | −0.306578 | + | 0.445634i | ||||
\(846\) | −21.1753 | + | 2.94032i | −0.728021 | + | 0.101090i | ||||
\(847\) | −23.4782 | + | 9.42227i | −0.806722 | + | 0.323753i | ||||
\(848\) | −1.91564 | + | 1.10599i | −0.0657833 | + | 0.0379800i | ||||
\(849\) | −14.7903 | + | 16.9859i | −0.507602 | + | 0.582956i | ||||
\(850\) | −16.0467 | − | 9.26455i | −0.550396 | − | 0.317771i | ||||
\(851\) | −28.2298 | + | 16.2985i | −0.967706 | + | 0.558705i | ||||
\(852\) | 7.99612 | − | 9.18315i | 0.273943 | − | 0.314610i | ||||
\(853\) | 31.2313i | 1.06934i | 0.845061 | + | 0.534669i | \(0.179564\pi\) | ||||
−0.845061 | + | 0.534669i | \(0.820436\pi\) | |||||||
\(854\) | −2.47471 | + | 17.3157i | −0.0846828 | + | 0.592532i | ||||
\(855\) | 16.4026 | + | 21.0660i | 0.560957 | + | 0.720443i | ||||
\(856\) | −4.74371 | + | 8.21634i | −0.162137 | + | 0.280829i | ||||
\(857\) | −8.47281 | + | 14.6753i | −0.289426 | + | 0.501300i | −0.973673 | − | 0.227950i | \(-0.926798\pi\) |
0.684247 | + | 0.729250i | \(0.260131\pi\) | |||||||
\(858\) | 1.72420 | − | 7.28792i | 0.0588633 | − | 0.248805i | ||||
\(859\) | 18.2086 | − | 10.5127i | 0.621269 | − | 0.358690i | −0.156094 | − | 0.987742i | \(-0.549890\pi\) |
0.777363 | + | 0.629052i | \(0.216557\pi\) | |||||||
\(860\) | −0.637726 | − | 1.10457i | −0.0217463 | − | 0.0376656i | ||||
\(861\) | −0.157320 | − | 0.823202i | −0.00536146 | − | 0.0280546i | ||||
\(862\) | −9.97727 | + | 17.2811i | −0.339827 | + | 0.588598i | ||||
\(863\) | 17.7086 | − | 10.2241i | 0.602809 | − | 0.348032i | −0.167337 | − | 0.985900i | \(-0.553517\pi\) |
0.770146 | + | 0.637868i | \(0.220183\pi\) | |||||||
\(864\) | −0.284804 | + | 5.18834i | −0.00968924 | + | 0.176511i | ||||
\(865\) | −10.6125 | − | 18.3814i | −0.360837 | − | 0.624987i | ||||
\(866\) | −11.0912 | − | 19.2106i | −0.376896 | − | 0.652802i | ||||
\(867\) | −17.1053 | + | 5.87403i | −0.580927 | + | 0.199492i | ||||
\(868\) | 3.93308 | + | 9.80038i | 0.133497 | + | 0.332647i | ||||
\(869\) | 4.63466 | − | 2.67582i | 0.157220 | − | 0.0907711i | ||||
\(870\) | 0.664090 | − | 3.40144i | 0.0225147 | − | 0.115320i | ||||
\(871\) | −20.6801 | + | 32.7593i | −0.700718 | + | 1.11001i | ||||
\(872\) | −10.7950 | − | 6.23249i | −0.365564 | − | 0.211059i | ||||
\(873\) | −15.4917 | + | 38.1616i | −0.524314 | + | 1.29158i | ||||
\(874\) | 23.0692 | − | 13.3190i | 0.780328 | − | 0.450523i | ||||
\(875\) | 25.3536 | − | 10.1749i | 0.857108 | − | 0.343974i | ||||
\(876\) | −7.10439 | + | 8.15905i | −0.240035 | + | 0.275669i | ||||
\(877\) | −41.2083 | −1.39150 | −0.695752 | − | 0.718282i | \(-0.744929\pi\) | ||||
−0.695752 | + | 0.718282i | \(0.744929\pi\) | |||||||
\(878\) | 13.6641 | + | 23.6668i | 0.461139 | + | 0.798717i | ||||
\(879\) | −32.0319 | + | 10.9999i | −1.08041 | + | 0.371017i | ||||
\(880\) | − | 1.45046i | − | 0.0488948i | ||||||
\(881\) | −9.30917 | − | 16.1240i | −0.313634 | − | 0.543230i | 0.665512 | − | 0.746387i | \(-0.268213\pi\) |
−0.979146 | + | 0.203157i | \(0.934880\pi\) | |||||||
\(882\) | −7.74371 | − | 19.5201i | −0.260744 | − | 0.657277i | ||||
\(883\) | 28.5626 | 0.961209 | 0.480604 | − | 0.876938i | \(-0.340417\pi\) | ||||
0.480604 | + | 0.876938i | \(0.340417\pi\) | |||||||
\(884\) | −8.79052 | − | 16.7174i | −0.295657 | − | 0.562266i | ||||
\(885\) | −22.3205 | + | 7.66494i | −0.750294 | + | 0.257654i | ||||
\(886\) | 22.5803 | 0.758601 | ||||||||
\(887\) | 22.2089 | − | 38.4669i | 0.745701 | − | 1.29159i | −0.204166 | − | 0.978936i | \(-0.565448\pi\) |
0.949867 | − | 0.312655i | \(-0.101218\pi\) | |||||||
\(888\) | 5.06521 | + | 14.7500i | 0.169977 | + | 0.494978i | ||||
\(889\) | 22.4571 | + | 17.6298i | 0.753186 | + | 0.591284i | ||||
\(890\) | −7.53342 | − | 4.34942i | −0.252521 | − | 0.145793i | ||||
\(891\) | 2.94064 | + | 10.3846i | 0.0985152 | + | 0.347898i | ||||
\(892\) | −10.5899 | − | 6.11409i | −0.354576 | − | 0.204715i | ||||
\(893\) | 45.4096 | − | 26.2173i | 1.51958 | − | 0.877328i | ||||
\(894\) | −2.47838 | + | 0.851086i | −0.0828895 | + | 0.0284646i | ||||
\(895\) | 24.0899 | − | 13.9083i | 0.805237 | − | 0.464904i | ||||
\(896\) | −2.61914 | − | 0.374319i | −0.0874993 | − | 0.0125051i | ||||
\(897\) | −22.0012 | − | 5.20512i | −0.734598 | − | 0.173794i | ||||
\(898\) | 4.60525 | + | 7.97653i | 0.153679 | + | 0.266180i | ||||
\(899\) | 6.60297 | 0.220221 | ||||||||
\(900\) | 1.45945 | + | 10.5105i | 0.0486482 | + | 0.350349i | ||||
\(901\) | 11.5875i | 0.386035i | ||||||||
\(902\) | −0.219323 | −0.00730264 | ||||||||
\(903\) | −3.65707 | + | 3.15884i | −0.121700 | + | 0.105120i | ||||
\(904\) | −5.62121 | + | 9.73622i | −0.186959 | + | 0.323822i | ||||
\(905\) | 7.84811 | − | 4.53111i | 0.260880 | − | 0.150619i | ||||
\(906\) | −5.18587 | − | 1.01248i | −0.172289 | − | 0.0336373i | ||||
\(907\) | 15.9877 | 0.530863 | 0.265431 | − | 0.964130i | \(-0.414486\pi\) | ||||
0.265431 | + | 0.964130i | \(0.414486\pi\) | |||||||
\(908\) | −14.5055 | + | 25.1243i | −0.481383 | + | 0.833780i | ||||
\(909\) | 1.34107 | + | 9.65798i | 0.0444806 | + | 0.320335i | ||||
\(910\) | 11.3485 | + | 2.08215i | 0.376199 | + | 0.0690226i | ||||
\(911\) | − | 23.0432i | − | 0.763457i | −0.924275 | − | 0.381728i | \(-0.875329\pi\) | ||
0.924275 | − | 0.381728i | \(-0.124671\pi\) | |||||||
\(912\) | −4.13925 | − | 12.0536i | −0.137064 | − | 0.399135i | ||||
\(913\) | − | 19.9879i | − | 0.661503i | ||||||
\(914\) | −5.75837 | + | 3.32459i | −0.190470 | + | 0.109968i | ||||
\(915\) | 13.5933 | + | 2.65393i | 0.449382 | + | 0.0877364i | ||||
\(916\) | 24.0075 | + | 13.8607i | 0.793230 | + | 0.457971i | ||||
\(917\) | 39.2250 | + | 30.7933i | 1.29532 | + | 1.01688i | ||||
\(918\) | 22.7918 | + | 14.8816i | 0.752242 | + | 0.491166i | ||||
\(919\) | 15.2023 | 0.501477 | 0.250738 | − | 0.968055i | \(-0.419327\pi\) | ||||
0.250738 | + | 0.968055i | \(0.419327\pi\) | |||||||
\(920\) | −4.37872 | −0.144362 | ||||||||
\(921\) | 31.5373 | − | 36.2190i | 1.03919 | − | 1.19346i | ||||
\(922\) | −20.4701 | + | 11.8184i | −0.674147 | + | 0.389219i | ||||
\(923\) | 22.4349 | − | 11.7970i | 0.738455 | − | 0.388303i | ||||
\(924\) | −5.39781 | + | 1.03156i | −0.177575 | + | 0.0339359i | ||||
\(925\) | 15.9241 | + | 27.5814i | 0.523582 | + | 0.906871i | ||||
\(926\) | −7.00983 | − | 4.04713i | −0.230357 | − | 0.132997i | ||||
\(927\) | −1.07446 | − | 1.37995i | −0.0352900 | − | 0.0453234i | ||||
\(928\) | −0.827158 | + | 1.43268i | −0.0271528 | + | 0.0470300i | ||||
\(929\) | −14.5804 | −0.478366 | −0.239183 | − | 0.970975i | \(-0.576880\pi\) | ||||
−0.239183 | + | 0.970975i | \(0.576880\pi\) | |||||||
\(930\) | 7.90828 | − | 2.71573i | 0.259323 | − | 0.0890524i | ||||
\(931\) | 35.6063 | + | 37.2168i | 1.16695 | + | 1.21973i | ||||
\(932\) | 3.05589 | + | 1.76432i | 0.100099 | + | 0.0577922i | ||||
\(933\) | −12.5359 | + | 4.30487i | −0.410406 | + | 0.140935i | ||||
\(934\) | 3.85738i | 0.126217i | ||||||||
\(935\) | −6.58024 | − | 3.79910i | −0.215197 | − | 0.124244i | ||||
\(936\) | −4.46116 | + | 9.85383i | −0.145818 | + | 0.322083i | ||||
\(937\) | 32.9784i | 1.07736i | 0.842511 | + | 0.538678i | \(0.181076\pi\) | ||||
−0.842511 | + | 0.538678i | \(0.818924\pi\) | |||||||
\(938\) | 28.1419 | + | 4.02195i | 0.918865 | + | 0.131321i | ||||
\(939\) | 7.38949 | + | 1.44271i | 0.241147 | + | 0.0470810i | ||||
\(940\) | −8.61910 | −0.281124 | ||||||||
\(941\) | 6.25946 | − | 10.8417i | 0.204053 | − | 0.353430i | −0.745778 | − | 0.666195i | \(-0.767922\pi\) |
0.949830 | + | 0.312765i | \(0.101255\pi\) | |||||||
\(942\) | 0.885179 | − | 4.53385i | 0.0288407 | − | 0.147721i | ||||
\(943\) | 0.662103i | 0.0215610i | ||||||||
\(944\) | 11.2653 | 0.366654 | ||||||||
\(945\) | −15.7479 | + | 5.33788i | −0.512278 | + | 0.173641i | ||||
\(946\) | 0.632301 | + | 1.09518i | 0.0205579 | + | 0.0356073i | ||||
\(947\) | −4.69511 | − | 2.71072i | −0.152571 | − | 0.0880866i | 0.421771 | − | 0.906702i | \(-0.361409\pi\) |
−0.574342 | + | 0.818616i | \(0.694742\pi\) | |||||||
\(948\) | −7.31045 | + | 2.51044i | −0.237433 | + | 0.0815352i | ||||
\(949\) | −19.9330 | + | 10.4814i | −0.647052 | + | 0.340241i | ||||
\(950\) | −13.0131 | − | 22.5393i | −0.422200 | − | 0.731272i | ||||
\(951\) | 26.4735 | + | 5.16863i | 0.858463 | + | 0.167604i | ||||
\(952\) | −8.55833 | + | 10.9017i | −0.277377 | + | 0.353327i | ||||
\(953\) | −40.2976 | − | 23.2658i | −1.30537 | − | 0.753654i | −0.324048 | − | 0.946040i | \(-0.605044\pi\) |
−0.981319 | + | 0.192386i | \(0.938377\pi\) | |||||||
\(954\) | 5.23595 | − | 4.07686i | 0.169520 | − | 0.131993i | ||||
\(955\) | −21.5817 | + | 12.4602i | −0.698366 | + | 0.403202i | ||||
\(956\) | −6.53341 | + | 3.77206i | −0.211305 | + | 0.121997i | ||||
\(957\) | −0.658441 | + | 3.37251i | −0.0212844 | + | 0.109018i | ||||
\(958\) | −7.12716 | − | 4.11487i | −0.230268 | − | 0.132945i | ||||
\(959\) | −17.4598 | + | 22.2406i | −0.563807 | + | 0.718185i | ||||
\(960\) | −0.401428 | + | 2.05610i | −0.0129560 | + | 0.0663604i | ||||
\(961\) | −7.53453 | − | 13.0502i | −0.243049 | − | 0.420974i | ||||
\(962\) | −1.28202 | + | 32.4392i | −0.0413339 | + | 1.04588i | ||||
\(963\) | 10.7057 | − | 26.3721i | 0.344987 | − | 0.849829i | ||||
\(964\) | −10.6818 | − | 6.16717i | −0.344039 | − | 0.198631i | ||||
\(965\) | −4.83406 | − | 8.37283i | −0.155614 | − | 0.269531i | ||||
\(966\) | 3.11414 | + | 16.2952i | 0.100196 | + | 0.524290i | ||||
\(967\) | −27.2924 | −0.877664 | −0.438832 | − | 0.898569i | \(-0.644608\pi\) | ||||
−0.438832 | + | 0.898569i | \(0.644608\pi\) | |||||||
\(968\) | − | 9.56188i | − | 0.307331i | ||||||
\(969\) | −65.5249 | − | 12.7929i | −2.10496 | − | 0.410968i | ||||
\(970\) | −8.30247 | + | 14.3803i | −0.266576 | + | 0.461724i | ||||
\(971\) | −31.3639 | −1.00651 | −0.503257 | − | 0.864137i | \(-0.667865\pi\) | ||||
−0.503257 | + | 0.864137i | \(0.667865\pi\) | |||||||
\(972\) | −1.29447 | − | 15.5346i | −0.0415202 | − | 0.498273i | ||||
\(973\) | 7.14355 | + | 1.02093i | 0.229012 | + | 0.0327297i | ||||
\(974\) | − | 23.0181i | − | 0.737548i | ||||||
\(975\) | −5.08556 | + | 21.4958i | −0.162868 | + | 0.688417i | ||||
\(976\) | −5.72549 | − | 3.30561i | −0.183269 | − | 0.105810i | ||||
\(977\) | 50.2411i | 1.60735i | 0.595066 | + | 0.803677i | \(0.297126\pi\) | ||||
−0.595066 | + | 0.803677i | \(0.702874\pi\) | |||||||
\(978\) | 10.0803 | + | 29.3542i | 0.322334 | + | 0.938643i | ||||
\(979\) | 7.46934 | + | 4.31243i | 0.238721 | + | 0.137826i | ||||
\(980\) | −2.00995 | − | 8.22448i | −0.0642053 | − | 0.262721i | ||||
\(981\) | 34.6488 | + | 14.0657i | 1.10625 | + | 0.449082i | ||||
\(982\) | 29.2593 | 0.933703 | ||||||||
\(983\) | 18.7346 | − | 32.4492i | 0.597540 | − | 1.03497i | −0.395643 | − | 0.918404i | \(-0.629478\pi\) |
0.993183 | − | 0.116565i | \(-0.0371884\pi\) | |||||||
\(984\) | 0.310902 | + | 0.0606998i | 0.00991119 | + | 0.00193504i | ||||
\(985\) | −14.9907 | − | 8.65488i | −0.477643 | − | 0.275767i | ||||
\(986\) | 4.33306 | + | 7.50509i | 0.137993 | + | 0.239011i | ||||
\(987\) | 6.12990 | + | 32.0756i | 0.195117 | + | 1.02098i | ||||
\(988\) | 1.04766 | − | 26.5091i | 0.0333304 | − | 0.843368i | ||||
\(989\) | 3.30619 | − | 1.90883i | 0.105131 | − | 0.0606972i | ||||
\(990\) | 0.598473 | + | 4.31001i | 0.0190207 | + | 0.136981i | ||||
\(991\) | 24.4638 | 0.777117 | 0.388559 | − | 0.921424i | \(-0.372973\pi\) | ||||
0.388559 | + | 0.921424i | \(0.372973\pi\) | |||||||
\(992\) | −3.99136 | −0.126726 | ||||||||
\(993\) | −20.4980 | − | 17.8484i | −0.650484 | − | 0.566401i | ||||
\(994\) | −14.6303 | − | 11.4854i | −0.464044 | − | 0.364295i | ||||
\(995\) | −3.43718 | − | 1.98446i | −0.108966 | − | 0.0629115i | ||||
\(996\) | −5.53186 | + | 28.3340i | −0.175284 | + | 0.897796i | ||||
\(997\) | 6.93927 | − | 4.00639i | 0.219769 | − | 0.126884i | −0.386074 | − | 0.922468i | \(-0.626169\pi\) |
0.605843 | + | 0.795584i | \(0.292836\pi\) | |||||||
\(998\) | − | 30.7671i | − | 0.973917i | ||||||
\(999\) | −21.1372 | − | 41.7395i | −0.668752 | − | 1.32058i |
(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 | 546.2.u.a.185.16 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.23 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.37 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.31 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.12 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.18 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.23 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.16 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.16 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.23 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.16 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.23 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.18 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.31 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.12 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.37 | yes | 76 | 7.5 | odd | 6 |