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We produce the first low to mid frequency radio simulation that incorporatesboth traditional extragalactic radio sources as well as synchrotron cosmic webemission. The FIlaments \& GAlactic RadiO (FIGARO) simulation includes tenunique \SI{4x4}{\degree} fields, incorporating active galactic nucleii (AGNs),star forming galaxies (SFGs) and synchrotron cosmic web emission out to aredshift of $z = 0.8$ and over the frequency range 100-1400 MHz. To do this,the simulation brings together a recent $100^3$ Mpc$^3$ magneto-hydrodynamicsimulation (Vazza et al., 2019), calibrated to match observed radio relicpopulation statistics, alongside updated `T-RECS' code for simulatingextragalactic radio sources (Bonaldi et al., 2019). Uniquely, the AGNs and SFGsare populated and positioned in accordance with the underlying matter densityof the cosmological simulation. In this way, the simulation provides anaccurate understanding of the apparent morphology, angular scales, andbrightness of the cosmic web as well as -- crucially -- the clusteringproperties of the cosmic web with respect to the embedded extragalactic radiopopulation. We find that the synchrotron cosmic web does not closely trace theunderlying mass distribution of the cosmic web, but is instead dominated byshocked shells of emission surrounding dark matter halos and resembles a large,undetected population of radio relics. We also show that, with accuratekernels, the cosmic web radio emission is clearly detectable bycross-correlation techniques and this signal is separable from the embeddedextragalactic radio population. We offer the simulation as a public resourcetowards the development of techniques for detecting and measuring thesynchrotron cosmic web.

FIGARO Simulation: FIlaments & GAlactic RadiO Simulation