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We present the first results from the Southern Hemisphere ParallaxInterferometric Radio Astrometry Legacy Survey (\spirals): $10\mu$as-accurateparallaxes and proper motions for two southern hemisphere 6.7 GHz methanolmasers obtained using the inverse MultiView calibration method. Using an arrayof radio telescopes in Australia and New Zealand, we measured the trigonometricparallax and proper motions for the masers associated with the star formationregion G232.62+00.99 of $\pi = 0.610\pm0.011$~mas,$\mu_x=-2.266\pm0.021$~mas~y$^{-1}$ and $\mu_y=2.249\pm0.049$~mas~y$^{-1}$,which implies its distance to be $d=1.637\pm0.029$~kpc. These measurementsrepresent an improvement in accuracy by more than a factor of 3 over theprevious measurements obtained through Very Long Baseline Array observations ofthe 12~GHz methanol masers associated with this region. We also measure thetrigonometric parallax and proper motion for G323.74--00.26 as $\pi =0.364\pm0.009$~mas, $\mu_x=-3.239\pm0.025$~mas~y$^{-1}$ and$\mu_y=-3.976\pm0.039$~mas~y$^{-1}$, which implies a distance of$d=2.747\pm0.068$~kpc. These are the most accurate measurements oftrigonometric parallax obtained for 6.7~GHz class II methanol masers to date.We confirm that G232.62+00.99 is in the Local arm and find that G323.74--00.26is in the Scutum-Centaurus arm. We also investigate the structure and internaldynamics of both masers.

Inverse MultiView II: Microarcsecond Trigonometric Parallaxes for Southern Hemisphere 6.7~GHz Methanol Masers G232.62+00.99 and G323.74$-$00.26