What is every Big East Conference team's record against the point spread at neutral sites since the 2005-2006 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Butler 58-35-1 62.4% 2.4 +2.3
Xavier 58-40-4 59.2% 2.5 +0.3
Syracuse 52-42-1 55.3% 3.3 +1.6
Georgetown 42-35-2 54.5% 3.4 +0.8
Villanova 67-56-1 54.5% 8.4 +1.6
Connecticut 55-48-1 53.4% 2.8 +1.3
S Florida 27-24-1 52.9% -1.4 +0.7
Creighton 33-30-1 52.4% 3.2 +0.3
Louisville 46-42-0 52.3% 7.1 +1.2
Marquette 43-40-2 51.8% 1.8 +0.9
Seton Hall 37-35-1 51.4% 1.5 +0.4
Pittsburgh 45-43-2 51.1% 4.2 +0.8
Notre Dame 46-45-0 50.5% 1.8 +0.3
W Virginia 57-59-2 49.1% 4.4 -0.1
Cincinnati 34-37-2 47.9% 2.8 -0.3
Rutgers 19-21-1 47.5% -6.0 -1.3
St Johns 32-40-1 44.4% -0.8 -1.3
Providence 28-37-0 43.1% -2.8 -1.2
DePaul 18-30-1 37.5% -7.7 -2.8