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Most gravitational lens systems consist of two or four observable images. Theabsence of detectable odd images allows us to place a lower limit on thepower-law slope of the inner mass profile of lensing galaxies. Using a sampleof six two-image radio-loud lens systems and assuming a singular power-lawsurface density (Sigma proportional to r^{-beta}) for the inner several kpc ofthe mass distribution, we find that there is less than a 10% probability thatthe data are consistent with profile slopes beta < 0.80. Furthermore,individual mass modeling yields beta > 0.85 for B0739+366 and beta > 0.91 forB1030+074. Modeling central black holes as additional point masses changes theconstraints in these systems to beta > 0.84 and beta > 0.83, respectively. Theinner mass profiles of lensing galaxies are therefore not much shallower thanisothermal.Comment: Final published version, minor typos corrected, 13 page

Constraints on the Inner Mass Profiles of Lensing Galaxies from Missing Odd Images