Extensive multi-frequency monitoring of the TeV blazars Mrk 421 and Mrk 501

We request MAGIC observations to provide sensitive VHE coverage for themultiinstrument campaigns in2021/2022. These MAGIC observations are needed tocharacterise with accuracy the highenergy bump and its temporal evolution withsimultaneous coverage for the lowenergy bump. This experimental work allowsaddressing fundamental questions on how Mrk421 and Mrk501 function, which may begeneralized to other blazars that are more difficult to study because they areweaker or located further away. The multiyear MAGIC data we are collectingprovide unprecedented VHE coverage with high sensitivity and low energythreshold and, together with the related MWL data (including stricltysimultaneous observations),will become one of the MAGIC legacy products. truncated!, Please see actual data for full text [truncated!, Please see actual data for full text]