*N*_{offset}, 1D track | Total number of distinct grid patterns on the 1D track | 40 |

*N*_{offset}, 2D arena | Total number of distinct grid patterns in the 2D arena | 36 |

*N*_{VCO, offset}, 1D track | Total number of VCO cells in each ring attractor circuit on the 1D track | 40 |

*N*_{VCO, offset}, 2D arena | Total number of VCO cells in each ring attractor circuit in the 2D arena | 6 |

*N*_{copy} | Total number of grid cells that receive input from a common set of VCOs | 48 |

*N*_{INH,copy} | Total number of interneurons that receive input from a common set of grid cells | 12 |

*N*_{VCO,copy} | Total number of VCO ring attractor circuits for each preferred direction | 30 |

⊘_{VCO} | VCO preferred directions | π/3, 2π/3, π 4π/3, 5π/3, 2π rad |

σ_{⊘} | SD of VCO preferred direction noise | rad |

r̅V̅C̅O̅ | Mean VCO firing rate | 50 Hz |

*f*_{LFP} | Baseline oscillation frequency | 8 Hz |

β | VCO velocity/oscillation frequency gradient | 0.209 cm^{−1} |

| Simulation time step | 1 ms |

σ_{VCO} | SD of VCO phase noise | 0/0.015 rad |

α_{VCO} | VCO phase reset increment | 0.5 |

w_{GC,VCO} | Synaptic weight of VCO to grid cell connections | 0.0045 |

*k*_{GC,INH} | Mean synaptic weight of interneuron to grid cell connections | 0.04 cos (Δφ) |

*k*_{INH,GC} | Mean synaptic weight of grid cell to interneuron connections | 0.2 |

σ_{GC,INH} | SD of interneuron to grid cell connection strengths | 0.1 |

σ_{INH,GC} | SD of grid cell to interneuron connection strengths | 0.2 |

*p*_{GC,INH} | Interneuron to grid cell connection probability | 0.7 |

*p*_{INH,GC} | Grid cell to interneuron connection probability | 0.5 |

*t*_{reset} | Time for which VCO phase reset proceeds before movement onset | 5 s |