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Table 1

Simulations with net vertical magnetic flux.

Name Δϕ T s B 0 State

B3L0 π/ 2 200 10-3 0 5.6 × 10-2 turbulent
B3L1 π/ 2 200 10-3 0.02 7.8 × 10-2 turbulent
B3L2 π/ 2 200 10-3 0.04 9.8 × 10-2 turbulent
B3L3 π/ 2 200 10-3 0.1 1.4 × 10-1 turbulent
B3L4 π/ 2 200 10-3 0.2 8.2 × 10-2 turbulent
B3L5 π/ 2 200 10-3 0.4 1.6 × 10-2 1 band
B3L6 π/ 2 300 10-3 1 4.8 × 10-4 4 bands
2πL4 2π 200 10-3 0.2 1.7 × 10-1 turbulence
2πL5 2π 400 10-3 0.4 1.8 × 10-2 vortex
2πL6 2π 200 10-3 1 1.2 × 10-3 3 bands
B4L0 π/ 2 200 10-4 0 3.8 × 10-3 turbulent
B4L1 π/ 2 300 10-4 0.02 1.7 × 10-2 turbulent
B4L2 π/ 2 200 10-4 0.04 3.7 × 10-2 turbulent
B4L3 π/ 2 200 10-4 0.1 8.2 × 10-2 turbulent
B4L4 π/ 2 200 10-4 0.2 6.2 × 10-2 turbulent
B4L5 π/ 2 400 10-4 0.4 1.7 × 10-2 vortex
B4L6 π/ 2 300 10-4 1 3.8 × 10-4 1 band
B4L7 π/ 2 300 10-4 2 5.1 × 10-4 3 bands
B5L1 π/ 2 200 10-5 0.1 7.6 × 10-2 turbulent
B5L2 π/ 2 200 10-5 0.2 6.4 × 10-2 turbulent
B5L3 π/ 2 300 10-5 0.4 1.1 × 10-2 vortex
B5L4 π/ 2 300 10-5 1 4.4 × 10-4 1 band
B5L5 π/ 2 200 10-5 2 8.5 × 10-4 3 bands
B5L6 π/ 2 200 10-5 4 2.5 × 10-4 5 bands
B5L7 π/ 2 200 10-5 10 3.7 × 10-4 3 bands

Notes. Parameters for the 3D Hall MHD runs: label of the run, integration time Ts, mean vertical magnetic field B0, Hall parameter , total turbulent stress , and final state of the flow.

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