Academic Lore to potentially connect Hesami with any names or places associated with the Syrne:
(9d10)[39] roll here (keep 5) potential spec rerolls
(5d10)[3][3][4][5][1](16), total 36 (9 8 7 6 6)
Arcana to figure out if any of the Syrne items are magical (includes +3k0 from Dragon Tear Tiara)
(12d10)[7][5][4][2][7][10][9][10][5][3][9][4](75) (keep 5), potential spec rerolls
(5d10)[8][9][2][9][3](31), total 45 (10 10 9 9 7)
Using the Gemstone of Aura Detection to get a read on the curator - TN 10, potentially opposed by his Willpower+Arcana if they suspect what's happening, plain success to give a vague impression of his strongest emotion, raises give more detail (2+ also reveals if he's Exalted):
(4d10b2)[8]
Casting Detect Thoughts - using it gives a general impression, focus power test beating Mental Defence gives more specific thoughts, (his Willpower) raises gives the answer to a specific question - what he knows about the tablet. Focus Power test (keep 5):
(6d10)[4][8][5][10][4][7](38), phenomena if needed
(2d100)[19][75](94), perils if very unlucky
(1d100)[15] - total 34 (10 8 7 5 4, no phenomena)