Lucky 7!!

Number Theory Level pending

Find the Last Two Digits of the sum of

\( 1+2*7+3*{ 7 }^{ 2 }+4*{ 7 }^{ 3 }+5*{ 7 }^{ 4 }+6*{ 7 }^{ 5 }+7*{ 7 }^{ 6 }+8*{ 7 }^{ 7 }+9*{ 7 }^{ 8 } \)

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