Heat_Capacity.dat Columns 1, 3, 5, 7, 9 , 11 = Temperature (Kelvin) Columns 2, 4, 6, 8, 10, 12 = Sample Heat Capacity (Joules per Kelvin per mole) Applied magnetic field strength (\mu_{0}H): Columns 1, 2 = 0 T Columns 3, 4 = 1 T Columns 5, 6 = 3 T Columns 7, 8 = 5 T Columns 9, 10 = 7 T Columns 11, 12 = 9 T The magnetic contribution to the heat capacity presented in the paper is derived by fitting the zero-field heat capacity to a phonon model (see text, and the references therein) and subtracting this from the sample heat capacity. Linear_Susceptibility.dat Column 1 = Temperature (Kelvin) Column 2 = Linear susceptibility (meters cubed per mole) Measurements are recorded in a quasistatic applied magnetic field \mu_{0} = 0.1 T. AC_Susceptibility.dat Columns 1, 4, 7 = Temperature (Kelvin) Columns 2, 5, 8 = In phase susceptibility (meters cubed per mole) Columns 3, 6, 9 = Out of phase susceptibility (meters cubed per mole) alternating current frequency: Columns 1-3 = 116 Hz Columns 4-6 = 539 Hz Columns 7-9 = 1500 Hz Differential_Susceptibility Columns 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 = Applied magnetic field ($\mu_{0}H$) (Tesla) Columns 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, = Magnetization (arbitrary units) Temperature: Columns 1, 2 = 0.53 K Columns 3, 4 =0.65 K Columns 5, 6 = 0.85 K Columns 7, 8 = 1.045 K Columns 9, 10 = 1.085 K Columns 11, 12 = 1.205 K Columns 13, 14 = 1.308 K Columns 15, 16 = 1.38 K Columns 17, 18 = 2.14 K Columns 19, 20 = 2.6 K Columns 21, 22 = 3 K Columns 23, 24 = 3.4 K Columns 25, 26 = 3.8 K Columns 27, 28 = 4.2 K Electron_spin_resonance_1.dat Columns 1, 3, 5, 7, 9, 11 = Applied magnetic field ($\mu_{0}H$) (Tesla) Columns 2, 4, 6, 8, 10, 12 = Differential Transmission Intensity (dI/dH) + a constant offset (arbitrary units) All measurements were performed with 435.2 GHz microwaves. Temperature: Columns 1, 2 = 3.3 K Columns 3, 4 = 5 K Columns 5, 6 = 10 K Columns 7, 8 = 20 K Columns 9, 10 = 50 K Columns 11, 12 = 100 K Electron_spin_resonance_2.dat Columns 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 = Applied magnetic field ($\mu_{0}H$) (Tesla) Columns 2, 4, 6, 8, 10, 12, 14, 16, 18. 20, 22 = Differential Transmission Intensity (dI/dH) + a constant offset (arbitrary units) Measurements recorded at 3.5 K (and 3.31 K for the 435.2 GHz measurement) Frequency: Columns 1, 2 = 203.2 GHz Columns 3, 4 = 209.6 GHz Columns 5, 6 = 217.6 GHz Columns 7, 8 = 222.4 GHz Columns 9, 10 = 304.8 GHz Columns 11, 12 = 333.6 GHz Columns 13, 14 = 406.4 GHz Columns 15, 16 = 416 GHz Columns 17, 18 = 435.2 GHz Columns 19, 20 = 609.6 GHz Columns 21, 22 = 633.6 GHz Muon_Spin_Rotation.dat Columns 1, 4, 7, 10, 13, 16 = Time (microseconds) Columns 2, 5, 8, 11, 14, 17 = Asymmetry (arbitraty units) Columns 3, 6, 9, 12, 15, 18 = Error in asymmetry (arbitrary units) Temperature: Columns 1-3 = 1.517 Kelvin Columns 4-6 = 2.005 Kelvin Columns 7-9 = 5.220 Kelvin Columns 10-12 = 10.782 Kelvin Columns 13-15 = 0.0199 Kelvin Columns 16-18 = 0.0190 Kelvin The asymmetry vs. time model descibed in the supplemental information may be used to obtain the fitted curves displayed in the muon spin-roation figure. Muon_Spin_Rotation2.dat Coulmn 1 = Temperature (Kelvin) Column 2 = \lambda_s (MHz) Column 3 = Error in lambda_s (MHz) Muon_Spin_Rotation3.dat Coulmn 1 = Temperature (Kelvin) Column 2 = \omega/(2\pi)(MHz) Column 3 = Error in \omega/(2\pi)(MHz) (MHz) DFT data Files are organised as follows: 3-link.models: contains 3-link model CASTEP output. contains subdirectories: up: `up' structure down: `down' structure both of which contain the subdirectories: AFM: AFM output FM: FM output files in the output directories: *.usp: on-the-fly psuedopotential *.bib, *.castep: CASTEP output *.cell, *param: CASTEP cell and parameter input *.xsf: spin data extracted from raw binary output Ni_$foo: script file 2-link.models: contains 2-link model CASTEP output contains subdirectories: up_symmetric: `up symmetric' structure up_asymmetric: `up asymmetric' structure down_symmetric: `down symmetric' structure down_asymmetric: `down asymmetric structure all of which contain the subdirectories: AFMw: AFMw output AFMs: AFMs output FM: FM output files in the output directories: *.usp: on-the-fly psuedopotential *.bib, *.castep: CASTEP output *.cell, *param: CASTEP cell and parameter input Ni_$foo: script file the AFMs/AFMw/FM directories for the down_asymmetric case contain subdirectories: r1, r2: reruns of the calculation to check results for_xsf: rerun generating a *.xsf file for spin plots the AFMs/AFMw directories for the down_asymmetric case contain a subdirectory: convergence: contains results of convergence checking runs: 1x1x1, 4x4x4: MP grid convergence GS=*: grid scaling convergence FINE, EXTREME: basis cut-off convergence