The degree 4 case. 0 : 0 0 1 1 2 2 3 3; su: 1, -4, 6, -4, 1,; so: 1, -4, 6, -4, 1,; sp: 16, 32, 24, 8, 1,; ad_su: 16, -16, 0, 0, 0, 0,; ad_so: 16,-144, 512,-896, 768,-256,; ad_sp: 512,2304,4096,3584,1536, 256,; 1 : 0 0 1 1 2 3 2 3; su: 0, -1, 3, -3, 1,; so: 0, 1, -3, 3, -1,; sp: 0, -8, -12, -6, -1,; ad_su: 8, -8, 0, 0, 0, 0,; ad_so: 8, -72, 256,-448, 384,-128,; ad_sp: 256,1152,2048,1792, 768, 128,; 2 : 0 0 1 1 2 3 3 2; su: 1, -4, 6, -4, 1,; so: 1, -4, 6, -4, 1,; sp: 16, 32, 24, 8, 1,; ad_su: 16, -16, 0, 0, 0, 0,; ad_so: 16,-144, 512,-896, 768,-256,; ad_sp: 512,2304,4096,3584,1536, 256,; 3 : 0 0 1 2 1 3 2 3; su: 0, 0, 1, -2, 1,; so: 0, 0, 1, -2, 1,; sp: 0, 0, 4, 4, 1,; ad_su: 4, -4, 0, 0, 0, 0,; ad_so: 4, -36, 128,-224, 192, -64,; ad_sp: 128, 576,1024, 896, 384, 64,; 4 : 0 0 1 2 1 3 3 2; su: 0, -1, 3, -3, 1,; so: 0, 1, -3, 3, -1,; sp: 0, -8, -12, -6, -1,; ad_su: 8, -8, 0, 0, 0, 0,; ad_so: 8, -72, 256,-448, 384,-128,; ad_sp: 256,1152,2048,1792, 768, 128,; 5 : 0 0 1 2 3 1 2 3; su: 0, 1, -1, -1, 1,; so: 0, -1, 5, -7, 3,; sp: 0, 8, 20, 14, 3,; ad_su: 0, 0, 0, 0, 0, 0,; ad_so: 0, 0, 0, 0, 0, 0,; ad_sp: 0, 0, 0, 0, 0, 0,; 6 : 0 0 1 2 3 1 3 2; su: 0, 0, 1, -2, 1,; so: 0, 0, 1, -2, 1,; sp: 0, 0, 4, 4, 1,; ad_su: 4, -4, 0, 0, 0, 0,; ad_so: 4, -36, 128,-224, 192, -64,; ad_sp: 128, 576,1024, 896, 384, 64,; 7 : 0 0 1 2 3 2 1 3; su: 0, 0, 1, -2, 1,; so: 0, 0, 1, -2, 1,; sp: 0, 0, 4, 4, 1,; ad_su: 4, -4, 0, 0, 0, 0,; ad_so: 4, -36, 128,-224, 192, -64,; ad_sp: 128, 576,1024, 896, 384, 64,; 8 : 0 0 1 2 3 3 1 2; su: 0, -1, 3, -3, 1,; so: 0, 1, -3, 3, -1,; sp: 0, -8, -12, -6, -1,; ad_su: 8, -8, 0, 0, 0, 0,; ad_so: 8, -72, 256,-448, 384,-128,; ad_sp: 256,1152,2048,1792, 768, 128,; 9 : 0 0 1 2 3 2 3 1; su: 0, -1, 3, -3, 1,; so: 0, 1, -3, 3, -1,; sp: 0, -8, -12, -6, -1,; ad_su: 8, -8, 0, 0, 0, 0,; ad_so: 8, -72, 256,-448, 384,-128,; ad_sp: 256,1152,2048,1792, 768, 128,; 10 : 0 0 1 2 3 3 2 1; su: 1, -4, 6, -4, 1,; so: 1, -4, 6, -4, 1,; sp: 16, 32, 24, 8, 1,; ad_su: 16, -16, 0, 0, 0, 0,; ad_so: 16,-144, 512,-896, 768,-256,; ad_sp: 512,2304,4096,3584,1536, 256,; 11 : 0 1 0 1 2 3 2 3; su: 0, 0, 1, -2, 1,; so: 0, 0, 1, -2, 1,; sp: 0, 0, 4, 4, 1,; ad_su: 4, -4, 0, 0, 0, 0,; ad_so: 4, -36, 128,-224, 192, -64,; ad_sp: 128, 576,1024, 896, 384, 64,; 12 : 0 1 0 2 1 3 2 3; su: 0, 0, 0, -1, 1,; so: 0, 0, 0, 1, -1,; sp: 0, 0, 0, -2, -1,; ad_su: 2, -2, 0, 0, 0, 0,; ad_so: 2, -18, 64,-112, 96, -32,; ad_sp: 64, 288, 512, 448, 192, 32,; 13 : 0 1 0 2 3 1 2 3; su: 0, 0, -1, 0, 1,; so: 0, 0, -1, 4, -3,; sp: 0, 0, -4, -8, -3,; ad_su: 0, 0, 0, 0, 0, 0,; ad_so: 0, 0, 0, 0, 0, 0,; ad_sp: 0, 0, 0, 0, 0, 0,; 14 : 0 1 0 2 3 1 3 2; su: 0, 0, 0, -1, 1,; so: 0, 0, 0, 1, -1,; sp: 0, 0, 0, -2, -1,; ad_su: 2, -2, 0, 0, 0, 0,; ad_so: 2, -18, 64,-112, 96, -32,; ad_sp: 64, 288, 512, 448, 192, 32,; 15 : 0 1 2 0 3 1 2 3; su: 0, 1, -3, 1, 1,; so: 0, 0, 2, -5, 3,; sp: 0, 0, 8, 10, 3,; ad_su: 0, 24, -24, 0, 0, 0,; ad_so: 0, -6, 102,-456, 744,-384,; ad_sp: 0, 96, 816,1824,1488, 384,; 16 : 0 1 2 0 3 2 1 3; su: 0, 1, -2, 0, 1,; so: 0, 0, 3, -8, 5,; sp: 0, 0, 12, 16, 5,; ad_su: 2, 22, -24, 0, 0, 0,; ad_so: 2, -24, 166,-568, 840,-416,; ad_sp: 64, 384,1328,2272,1680, 416,; 17 : 0 1 2 3 0 1 2 3; su: 0, 0, -3, 2, 1,; so: 0, 1, -4, 6, -3,; sp: 0, -8, -16, -12, -3,; ad_su: 0, 24, -24, 0, 0, 0,; ad_so: 0, -6, 102,-456, 744,-384,; ad_sp: 0, 96, 816,1824,1488, 384,; Total number of equations considered was: 45. Total number of row operations performed was: 105. Maximal equation length is: 6. Total length of the equations stored: 28. 0 1 2 3 4 5 6 7 8 91011121314151617 0:-1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1: 0-1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2: 0 0-1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 3: 0 0 0-1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 4: 0 0 0 0 1 0 0 0-1 0 0 0 0 0 0 0 0 0 5: 0 0 0 0 0-1 0 2-1 0 0 0 0 0 0 0 0 0 6: 0 0 0 0 0 0-1 1 0 0 0 0 0 0 0 0 0 0 7: 0 0 0 0 0 0 0-1 0 0 0 0 1-1 1 0 0 0 8: 0 0 0 0 0 0 0 0-1 1 0 0 0 0 0 0 0 0 9: 0 0 0 0 0 0 0 0 0-1 0 0 2-3 2-1 0 1 10: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11: 0 0 0 0 0 0 0 0 0 0 0-1 2-1 0 0 0 0 12: 0 0 0 0 0 0 0 0 0 0 0 0-1 1 0-1 1 0 13: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 ; 0 : -1 , 2 : 1 , 2 ; 1 : -1 , 9 : 1 , 2 ; 2 : -1 , 10 : 1 , 2 ; 3 : -1 , 7 : 1 , 2 ; 4 : 1 , 8 : -1 , 3 ; 5 : -1 , 7 : 2 , 8 : -1 , 2 ; 6 : -1 , 7 : 1 , 4 ; 7 : -1 , 12 : 1 , 13 : -1 , 14 : 1 , 2 ; 8 : -1 , 9 : 1 , 6 ; 9 : -1 , 12 : 2 , 13 : -3 , 14 : 2 , 15 : -1 , 17 : 1 , 0 ; 3 ; 11 : -1 , 12 : 2 , 13 : -1 , 4 ; 12 : -1 , 13 : 1 , 15 : -1 , 16 : 1 , 0 ; 0 ; 0 ; 0 ; 0 ; Total nunmber of diagrams is: 18. Number of degrees of freedom is: 6.