We present Three Fingered Jack, a highly productive approach to mapping vectorizable applications to the FPGA. Our system applies traditional dependence analysis and reordering transformations to a restricted set of Python loop nests. It does this to uncover parallelism and divide computation between multiple parallel processing elements (PEs) that are automatically generated through high-level synthesis of the optimized loop body. Design space exploration on the FPGA proceeds by varying the number of PEs in the system. Over four benchmark kernels, our system achieves 3× to 6× relative to soft-core C performance.