cubic = Y123456*Y142536*Y162345 - Y123645*Y142356*Y162534
cubic2 = Y152634*Y123645*Y132456 - Y123456*Y152436*Y132645

orbit1 = set([X34*X51*Y132645 - X31*X54*Y152634, -X23*X36*X62 + X26*X32*X63, -X12*X23*X31 + X13*X21*X32, -X36*X45*Y123546 + X35*X46*Y123645, X16*X45*Y152346 - X15*X46*Y162345, -X26*X35*Y142536 + X25*X36*Y142635, X15*X63*Y132456 - X13*X65*Y152436, X16*X43*Y132546 - X13*X46*Y162534, -Y123456*Y132645*Y152436 + Y123645*Y132456*Y152634, X34*X46*X63 - X36*X43*X64, X34*X62*Y152346 - X32*X64*Y152634, -X16*X24*Y142635 + X14*X26*Y162435, X16*X53*Y132456 - X13*X56*Y162435, X25*X63*Y142356 - X23*X65*Y142536, X25*X41*Y123645 - X21*X45*Y142536, X16*X23*Y132645 - X13*X26*Y162345, X34*X61*Y132546 - X31*X64*Y162534, -X13*X36*X61 + X16*X31*X63, -X35*X56*X63 + X36*X53*X65, X43*X52*Y162435 - X42*X53*Y162534, X14*X52*Y123645 - X12*X54*Y142536, -X25*X61*Y123456 + X21*X65*Y162534, X26*X31*Y123645 - X21*X36*Y132645, X15*X62*Y123456 - X12*X65*Y152634, X26*X45*Y132546 - X25*X46*Y132645, X23*X41*Y123456 - X21*X43*Y142356, -X42*X51*Y142536 + X41*X52*Y152436, -X45*X62*Y132456 + X42*X65*Y132645, -X32*X61*Y132645 + X31*X62*Y162345, X24*X45*X52 - X25*X42*X54, -X36*X51*Y132456 + X31*X56*Y152436, X13*X35*X51 - X15*X31*X53, X36*X42*Y152346 - X32*X46*Y152436, -X54*X62*Y132546 + X52*X64*Y132645, Y142536*Y152634*Y162435 - Y142635*Y152436*Y162534, X15*X32*Y123546 - X12*X35*Y152346, X25*X31*Y123546 - X21*X35*Y132546, X14*X32*Y123456 - X12*X34*Y142356, X15*X23*Y132546 - X13*X25*Y152346, -Y123546*Y132645*Y142536 + Y123645*Y132546*Y142635, X23*X61*Y123645 - X21*X63*Y162345, -X14*X45*X51 + X15*X41*X54, X46*X53*Y123456 - X43*X56*Y123546, -X12*X26*X61 + X16*X21*X62, X34*X52*Y162345 - X32*X54*Y162534, -X13*X42*Y123456 + X12*X43*Y132456, -X54*X61*Y152346 + X51*X64*Y162345, -Y123456*Y142536*Y162345 + Y123645*Y142356*Y162534, -X23*X34*X42 + X24*X32*X43, X14*X53*Y132645 - X13*X54*Y142635, -X26*X54*Y132456 + X24*X56*Y132645, X24*X46*X62 - X26*X42*X64, -X16*X52*Y123456 + X12*X56*Y162534, -Y123456*Y132546*Y162435 + Y123546*Y132456*Y162534, X23*X51*Y123546 - X21*X53*Y152346, -X36*X41*Y132546 + X31*X46*Y142536, -X12*X24*X41 + X14*X21*X42, -X14*X62*Y123546 + X12*X64*Y142635, -X14*X63*Y132546 + X13*X64*Y142536, X36*X54*Y123456 - X34*X56*Y123645, X25*X64*Y132456 - X24*X65*Y132546, -X46*X51*Y142356 + X41*X56*Y152346, -X15*X34*Y142635 + X14*X35*Y152634, X26*X53*Y142356 - X23*X56*Y142635, -X46*X52*Y132456 + X42*X56*Y132546, -Y132456*Y142635*Y162345 + Y132645*Y142356*Y162435, X13*X52*Y123546 - X12*X53*Y132546, -X16*X34*Y142536 + X14*X36*Y162534, X24*X53*Y162345 - X23*X54*Y162435, X35*X62*Y142356 - X32*X65*Y142635, Y123546*Y152436*Y162345 - Y123645*Y152346*Y162435, -X15*X56*X61 + X16*X51*X65, X24*X63*Y152346 - X23*X64*Y152436, -X13*X34*X41 + X14*X31*X43, -X32*X51*Y132546 + X31*X52*Y152346, X53*X62*Y142536 - X52*X63*Y142635, Y132546*Y152634*Y162345 - Y132645*Y152346*Y162534, -X43*X62*Y152436 + X42*X63*Y152634, X13*X62*Y123645 - X12*X63*Y132645, X45*X56*X64 - X46*X54*X65, X52*X61*Y152634 - X51*X62*Y162534, X16*X42*Y123546 - X12*X46*Y162435, -Y123456*Y132645*Y152436 + Y123645*Y132456*Y152634, -X35*X64*Y123456 + X34*X65*Y123546, -X24*X31*Y123456 + X21*X34*Y132456, X43*X51*Y142635 - X41*X53*Y152634, X34*X45*X53 - X35*X43*X54, X32*X41*Y132456 - X31*X42*Y142356, X16*X35*Y152436 - X15*X36*Y162435, X45*X61*Y142356 - X41*X65*Y162345, -X15*X42*Y123645 + X12*X45*Y152436, Y123456*Y142635*Y152346 - Y123546*Y142356*Y152634, X16*X54*Y142356 - X14*X56*Y162345, -X16*X32*Y123645 + X12*X36*Y162345, Y132456*Y142536*Y152346 - Y132546*Y142356*Y152436, X35*X42*Y162345 - X32*X45*Y162435, -X26*X34*Y152436 + X24*X36*Y152634, -X23*X35*X52 + X25*X32*X53, -X14*X23*Y132456 + X13*X24*Y142356, X45*X63*Y123456 - X43*X65*Y123645, -X26*X51*Y123456 + X21*X56*Y152634, X16*X25*Y152634 - X15*X26*Y162534, -X25*X56*X62 + X26*X52*X65, -X24*X61*Y123546 + X21*X64*Y162435, X35*X41*Y132645 - X31*X45*Y142635, X14*X46*X61 - X16*X41*X64, -X35*X61*Y132456 + X31*X65*Y162435, -X54*X63*Y123546 + X53*X64*Y123645, -X42*X61*Y142635 + X41*X62*Y162435, -X26*X41*Y123546 + X21*X46*Y142635, X53*X61*Y152436 - X51*X63*Y162435, X15*X24*Y142536 - X14*X25*Y152436, -X25*X43*Y162345 + X23*X45*Y162534, X25*X34*Y162435 - X24*X35*Y162534, -X12*X25*X51 + X15*X21*X52, -X26*X43*Y152346 + X23*X46*Y152634, X15*X43*Y132645 - X13*X45*Y152634, -X15*X64*Y142356 + X14*X65*Y152346, -X36*X52*Y142356 + X32*X56*Y142536, X24*X51*Y123645 - X21*X54*Y152436, X43*X61*Y142536 - X41*X63*Y162534])