A fixed current and factor make flux the only changed coupling source. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Flux row 1 scales toy coupling energy
Current 3 and factor 1 stay fixed while flux source 1 sets the energy row.
gIΦ=1⋅3⋅1=3
Flux row 2 scales toy coupling energy
Current 3 and factor 1 stay fixed while flux source 2 sets the energy row.
gIΦ=1⋅3⋅2=6
Flux row 3 scales toy coupling energy
Current 3 and factor 1 stay fixed while flux source 4 sets the energy row.
gIΦ=1⋅3⋅4=12
Flux source changes the toy energy linearly
The rows keep current and factor fixed. The coupling-energy output therefore follows the flux source one-for-one.