Data for Nat. Commun. 13, 444 (2022).

Fig1a.dat 

This data file contains the data shown in the main panel of Figure 1a.

The columns are:
1,3: temperature (Kelvin)
2,4: magnetic susceptibility (10^-5 m^3/mol)

They were measured from the following initial condition:
Columns 1-2: zero-field cooled (ZFC)
Columns 3-4: field-cooled (FC)



Fig1aInset.dat 

This data file contains the data shown in the inset of Figure 1a.

The columns are:
1: temperature (Kelvin)
2: field-cooled magnetic susceptibility minus zero-field-cooled magnetic susceptibility (10^-5 m^3/mol)



Fig1b.dat 

This data file contains the data shown in Figure 1b.

The columns are:
1: temperature (Kelvin)
2: resistance (milliohms)



Fig2a.dat 

This data file contains the data shown in the main panel of Figure 2a.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: magnetisation (mu_B/Ho)

They were measured at the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 10 K



Fig2aInset.dat 

This data file contains the data shown in the inset of Figure 2a.

The columns are:
1: applied magnetic field (Tesla)
2: magnetisation (mu_B/Ho)



Fig2b.dat 

This data file contains the data shown in Figure 2b.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: magnetisation (mu_B/Ho)

They were calculated at the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 10 K



Fig2c.dat 

This data file contains the data shown in the main panel of Figure 2c.

The columns are:
1, 3, 5, 7, 9, 11: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12: resistance (milliohm)

They were measured at the following temperatures:
Columns 1-2: 1.8 K (Upsweep of magnetic field)
Columns 3-4: 1.8 K (Downsweep of magnetic field)
Columns 5-6: 5 K (Upsweep of magnetic field)
Columns 7-8: 5 K (Downsweep of magnetic field)
Columns 9-10: 10 K (Upsweep of magnetic field)
Columns 11-12: 10 K (Downsweep of magnetic field)



Fig2cInset.dat 

This data file contains the data shown in the inset of Figure 2c.

The columns are:
1: applied magnetic field (Tesla)
2: resistance (milliohm)



Fig2d.dat 

This data file contains the data shown in Figure 2d.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: monopole density (%)

They were calculated at the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 10 K



Fig3a.dat 

This data file contains the data shown in Figure 3a.

The columns are:
1: applied magnetic field (Tesla)
2: magnetisation (mu_B/Ho)



Fig3b.dat 

This data file contains the data shown in Figure 3b.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: magnetisation (mu_B/Ho)

They were calculated for the following Ir-domain ratios:
Columns 1-2: 50:50 (B > 0)
Columns 3-4: 70:30
Columns 5-6: 30:70



Fig3bInset.dat 

This data file contains the data shown in the inset to Figure 3b.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: magnetisation (mu_B/Ho)

They were calculated for the following Ir-domain ratios:
Columns 1-2: 100:0
Columns 3-4: 0:100
Columns 5-6: 50:50



Fig3c.dat 

This data file contains the data shown in Figure 3c.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: resistance (milliohm)

They were measured at the following temperatures:
Columns 1-2: 1.7 K
Columns 3-4: 3.9 K
Columns 5-6: 11 K



Fig3d.dat 

This data file contains the data shown in Figure 3d.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18: monopole density (%)

They were calculated for the following temperatures and Ir-domain ratios:
Columns 1-2: 1.8 K; 100:0
Columns 3-4: 1.8 K; 0:100
Columns 5-6: 1.8 K; 50:50 (B > 0)
Columns 7-8: 1.8 K; 70:30
Columns 9-10: 1.8 K; 30:70
Columns 11-12: 5 K; 70:30
Columns 13-14: 5 K; 30:70
Columns 15-16: 10 K; 70:30
Columns 17-18: 10 K; 30:70

To reproduce the figure, a constant offset of 70% should be subtracted from the 5 K curves and 90 % from the 10 K curves.



SupplFig1a.dat 

This data file contains the data shown in Supplementary Information Figure 1a.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26: magnetisation (mu_B/Ho)

They were measured at the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 3 K
Columns 5-6: 4 K
Columns 7-8: 5 K
Columns 9-10: 8 K
Columns 11-12: 10 K
Columns 13-14: 14 K
Columns 15-16: 20 K
Columns 17-18: 30 K
Columns 19-20: 40 K
Columns 21-22: 50 K
Columns 23-24: 100 K
Columns 25-26: 200 K




SupplFig1b.dat 

This data file contains the data shown in Supplementary Information Figure 1b.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18: resistance (milliohm)

They were measured at the following temperatures:
Columns 1-2: 0.56 K
Columns 3-4: 1.04 K
Columns 5-6: 1.8 K
Columns 7-8: 3 K
Columns 9-10: 4 K
Columns 11-12: 5 K
Columns 13-14: 8 K
Columns 15-16: 10 K
Columns 17-18: 30 K



SupplFig2.dat 

This data file contains the data shown in Supplementary Information Figure 2.

The columns are:
1, 3, 5, 7: applied magnetic field (Tesla)
2, 4, 6, 8: magnetisation (mu_B/Ho)

They were measured at the following sweep rates of the magnetic field:
Columns 1-2: 0.05 T/min
Columns 3-4: 0.3 T/min
Columns 5-6: 0.6 T/min
Columns 7-8: 1 T/min



SupplFig3a.dat 

This data file contains the data shown in Supplementary Information Figure 3a.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18: magnetisation (mu_B/Ho)

They were measured at the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 10 K
Columns 5-6: 14 K
Columns 7-8: 20 K
Columns 9-10: 30 K
Columns 11-12: 40 K
Columns 13-14: 50 K
Columns 15-16: 100 K
Columns 17-18: 200 K



SupplFig3b.dat 

This data file contains the data shown in Supplementary Information Figure 3b.

The columns are:
1, 3, 5, 7, 9, 11, 13: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14: resistance (milliohm)

They were measured at the following temperatures:
Columns 1-2: 0.5 K
Columns 3-4: 1.7 K
Columns 5-6: 3.9 K
Columns 7-8: 11 K
Columns 9-10: 20 K
Columns 11-12: 30 K
Columns 13-14: 50 K



SupplFig3c.dat 

This data file contains the data shown in Supplementary Information Figure 3c.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24: magnetisation hysteresis width (mu_B/Ho)

They were measured at the following temperatures:
Columns 1-2: 1.8 K (magnetic field < 0 T)
Columns 3-4: 1.8 K (magnetic field > 0 T)
Columns 5-6: 5 K (magnetic field < 0 T)
Columns 7-8: 5 K (magnetic field > 0 T)
Columns 9-10: 10 K (magnetic field < 0 T)
Columns 11-12: 10 K (magnetic field > 0 T)
Columns 13-14: 20 K (magnetic field < 0 T)
Columns 15-16: 20 K (magnetic field > 0 T)
Columns 17-18: 30 K (magnetic field < 0 T)
Columns 19-20: 30 K (magnetic field > 0 T)
Columns 21-22: 50 K (magnetic field < 0 T)
Columns 23-24: 50 K (magnetic field > 0 T)



SupplFig3d.dat 

This data file contains the data shown in Supplementary Information Figure 3d.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28: resistance hysteresis width (milliohm)

They were measured at the following temperatures:
Columns 1-2: 0.5 K (magnetic field < 0 T)
Columns 3-4: 0.5 K (magnetic field > 0 T) 
Columns 5-6: 1.7 K (magnetic field < 0 T)
Columns 7-8: 1.7 K (magnetic field > 0 T)
Columns 9-10: 3.9 K (magnetic field < 0 T)
Columns 11-12: 3.9 K (magnetic field > 0 T) 
Columns 13-14: 11 K (magnetic field < 0 T)
Columns 15-16: 11 K (magnetic field > 0 T)
Columns 17-18: 20 K (magnetic field < 0 T)
Columns 19-20: 20 K (magnetic field > 0 T)
Columns 21-22: 30 K (magnetic field < 0 T)
Columns 23-24: 30 K (magnetic field > 0 T)
Columns 25-26: 50 K (magnetic field < 0 T)
Columns 27-28: 50 K (magnetic field > 0 T)



SupplFig3e.dat 

This data file contains the data shown in Supplementary Information Figure 3e.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: magnetisation hysteresis width (mu_B/Ho)

They were calculated for the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 10 K



SupplFig3f.dat 

This data file contains the data shown in Supplementary Information Figure 3f.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: monopole density hysteresis width (%)

They were calculated for the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 10 K



SupplFig4a.dat 

This data file contains the data shown in Supplementary Information Figure 4a.

The columns are:
1, 3, 5, 7, 9, 11: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12: magnetisation hysteresis width (mu_B/Ho)

They were measured using the following maximum field values:
Columns 1-2: 0.5 T
Columns 3-4: 1 T
Columns 5-6: 1.5 T
Columns 7-8: 2 T
Columns 9-10: 3 T
Columns 11-12: 7 T



SupplFig4b.dat 

This data file contains the data shown in Supplementary Information Figure 4b.

The columns are:
1, 3: applied magnetic field (Tesla)
2, 4: energetic pressure (h_loc/Ir)

They were calculated for Ho moments inside the following Ir-domain types:
Columns 1-2: Type A
Columns 3-4: Type B



SupplFig5.dat 

This data file contains the data shown in Supplementary Information Figure 5.

The columns are:
1, 3, 5: applied magnetic field (Tesla)
2, 4, 6: energetic pressure (h_loc/Ir)

They were calculated for the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 10 K



SupplFig6a.dat 

This data file contains the data shown in Supplementary Information Figure 6a.

The columns are:
1, 3: applied magnetic field (Tesla)
2, 4: magnetisation (mu_B/Ho)

They were measured from the following initial condition:
Columns 1-2: zero-field cooled (ZFC)
Columns 3-4: field-cooled (FC)



SupplFig6b.dat 

This data file contains the data shown in Supplementary Information Figure 6b.

The columns are:
1, 3: applied magnetic field (Tesla)
2, 4: resistance (milliohm)

They were measured from the following initial condition:
Columns 1-2: zero-field cooled (ZFC)
Columns 3-4: field-cooled (FC)



SupplFig7a.dat 

This data file contains the data shown in Supplementary Information Figure 7a.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18: magnetisation (mu_B/Ho)

They were measured at the following temperatures:
Columns 1-2: 1.8 K
Columns 3-4: 5 K
Columns 5-6: 8 K
Columns 7-8: 10 K
Columns 9-10: 20 K
Columns 11-12: 30 K
Columns 13-14: 50 K
Columns 15-16: 100 K
Columns 17-18: 200 K



SupplFig7b.dat 

This data file contains the data shown in Supplementary Information Figure 7b.

The columns are:
1, 3, 5, 7: applied magnetic field (Tesla)
2, 4, 6, 8: magnetisation (mu_B/Ho)

They were calculated for the following temperatures:
Columns 1-2: 1.8 K (longitudinal magnetisation)
Columns 3-4: 5 K (longitudinal magnetisation)
Columns 5-6: 10 K (longitudinal magnetisation)
Columns 7-8: 1.8 K (transverse magnetisation)



SupplFig7c.dat 

This data file contains the data shown in Supplementary Information Figure 7c.

The columns are:
1, 3, 5, 7, 9, 11, 13, 15, 17: applied magnetic field (Tesla)
2, 4, 6, 8, 10, 12, 14, 16, 18: resistance (milliohm)

They were measured at the following temperatures:
Columns 1-2: 0.6 K
Columns 3-4: 1.34 K
Columns 5-6: 2 K
Columns 7-8: 4 K
Columns 9-10: 8 K
Columns 11-12: 10 K
Columns 13-14: 20 K
Columns 15-16: 30 K
Columns 17-18: 50 K



SupplFig7d.dat 

This data file contains the data shown in Supplementary Information Figure 7d.

The columns are:
1: applied magnetic field (Tesla)
2: monopole density (%)

They were calculated for the following temperature:
Columns 1-2: 1.8 K



SupplFig8a.dat 

This data file contains the data shown in Supplementary Information Figure 8a.

The columns are:
1: applied magnetic field (Tesla)
2: magnetisation (mu_B/Ho)

They were calculated for the following temperature:
Columns 1-2: 1.8 K



SupplFig8b.dat 

This data file contains the data shown in Supplementary Information Figure 8b.

The columns are:
1, 3: applied magnetic field (Tesla)
2, 4: monopole density (%)

They were calculated at 1.8 K for the following domain ratios:
Columns 1-2: 70:30
Columns 3-4: 30:70