The six-flow conjecture for bridgeless graphs

Let $G$ be a bridgeless graph, and let $\Phi_G(Q)$ denote its flow polynomial. The six-flow conjecture. For any bridgeless graph $G$,

$$\Phi_G(Q)>0\qquad\text{for }Q\in[6,\infty).$$

The source presents this as a weaker conjecture motivated by the failure of the Welsh and Haggard–Pearce–Royle conjectures and by numerical evidence for generalized Petersen graphs.