Best amplification for Magico S3 newer version on your experience

@mountainsong like Jason said, you don't need to fret over spending a gazillion as competent, incredible endgame can be attained for reasonable cost.

Your speakers are an 87.0dB@2.83V/1m sensitive set.

Magico’s nominal 4ohm rating is realised in a sub-5ohm trend from 53Hz-1.7kHz, and a minimum of 2.85ohm at 75Hz and less than 2.5ohm above 18kHz.

The impedance load is toughest in the deep bass where a big swing in phase angle of –66° at 48Hz precipitates a minimum EPDR of 1.09ohm at 62Hz.

So you need an amp rated for low impedance loads: Ideally stable into 2 ohms, and even better if rated for 1 ohm or less, to comfortably handle the 1.09 ohm EPDR.

 * Capable of high current delivery: The amplifier must have a robust power supply and output stage to instantaneously deliver the required current (around 3.74 A peak) into the complex and often very low equivalent impedance.

 * High Power Reserve: While 40W peak power is calculated for 100dB, an amplifier with a significantly higher power rating (e.g., 100W, 150W, or more into 4 ohms) would provide the necessary headroom to handle the challenging load conditions presented by the low EPDR and large phase angles without clipping or exhibiting dynamic compression.

Your Luxman is rated for 120W into 8 Ohm and 220W into 4 Ohm.

With dynamic peaks of 183W, 342W and 507W into 8, 4 and 2ohm

Hell it does 278W into 1 ohm.

TLDR, your amplifier is already competent and top of the line for your speakers. So unless I'm you listen at egregious SPLs, no need to spend

top brands amplification

I listen to low to moderate vol.

The Luxman doesn't sound good how? It is top brand. It has more than enough power.

The Luxman 509x is rather weak compared to the Luxman m900u and the new amp (m10?).  I have heard all 3. These Luxman amps are warmer that the other amps I mention later.

The CODA #16 is a great amp and even though it is 150 watts it is incredibly powerful because of the amount of current it generates. They do not come up for sale often. I heard the CH Precision top end amp in Canada last summer. It was over $100k USD. It was a tiny bit cleaner on top over the #16 but it was not an apples-to-apples comparison. I own the #16 and I feel the only thing I will get with an another uber amp is a different sonic presentation. The #16 is a tiny bit warm.

The new SimAudio Moon North Collection is a new fav of mine; I heard them a few days before I heard the CH Precision top amp. This was on a different system. There is a very unique character to this lineup. Very clean, very much like a slightly warmer Benchmark AHB2 but with more balls. The North amps are neutral.

If you want to save some cash and have something that is really good while you save up your pennies. Take a look at the new Schitt Wotan amp at $2k. It takes about 2 months of heavy playing for the top end to settle but I love this amp in my office system. It is not as good as the CODA #16, but I am not replacing it. It drives the difficult Maggies.It is slightly warm.

I have the A3's. The best sounding amps I've tried are high amplification SET mono blocks. I'm finally at audio nirvana with NAT Audio Magma M mono blocks. 

A buddy has the S7's. He has VAC 450iq Statement mono blocks. He once told me that in order to get Magico right you basically need to spend about double on amplification in relation to the cost of the speakers. 

The best Magico sonics I've heard have always been paired with high output tube amplification. I also agree with other audiophiles I've spoken with that 4 ohm speakers need tremendous power coupled with at least moderate volume to sound their best.