In the sweet pea plant (Lathyrus odoratus), the gene for flower colour (red allele $R$ is dominant to white allele $r$) and the gene for pollen shape (long allele $L$ is dominant to round allele $l$) are linked on the same autosome.

A biologist performs a test cross by crossing a dihybrid plant ($RrLl$) with the arrangement of alleles on its homologous chromosomes shown in the diagram below, with a double homozygous recessive plant ($rrll$).

The resulting offspring phenotypes and numbers are:

• Red flowers, long pollen: 422
• White flowers, round pollen: 418
• Red flowers, round pollen: 83
• White flowers, long pollen: 77

Based on these results, what is the map distance (in centimorgans, $cM$) between these two gene loci, and which are the recombinant phenotypes?