The cost of submersion is off I believe, it list: 10 X(times) (Submersion gradeX3) (P.257)
The cost for Initiation is : 10 +(plus) (initiationX3) (P.325)
The bolded parts are the differences and I think the mistake is the cost of submersion... Let us know, it is becoming a debate between my mage player and the technomancer player