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REDUCE 3.4, 15-Jul-91 ... 1: (CVIT) % Tests of Cvitanovic Package. % COPYRIGHT (C) 1990, INSTITUTE OF NUCLEAR PHYSICS, MOSCOW STATE UNIV. % CVITBUBLE TEST OF CVITANOVIC PACKAGE % AUTHOR A. KRYUKOV, ARODIONOV, A.TARANOV % VERSION 1.1 % RELEASE 18-SEP-90 index j1,j2,j3,j4,j5,j6,j7,j8,j9,j0; vecdim n$ % Tests of the weels with buble % (Use notation from SIGSAM Bull, 1989, v.23, no.4, pp.15-24) g(l,j1,j2,j2,j1); 2 N g(l,j1,j2)*g(l1,j3,j1,j2,j3); 2 N g(l,j1,j2)*g(l1,j3,j1,j3,j2); N*( - N + 2) g(l,j1,j2)*g(l1,j3,j3,j2,j1); 2 N g(l,j1,j2,j3,j4)*g(l1,j1,j2,j3,j4); N*(3*N - 2) g(l,j1,j2)*g(l1,j3,j4,j1,j2,j4,j3); 3 N g(l,j1,j2,j3,j4)*g(l1,j1,j4,j2,j3); N*( - N + 2) g(l,j1,j2)*g(l1,j3,j4,j1,j4,j3,j2); 2 N*(N - 4*N + 4) g(l,j1,j2)*g(l1,j3,j4,j5,j1,j2,j3,j4,j5); 2 2 N *( - N + 6*N - 4) g(l,j1,j2,j3,j4)*g(l1,j5,j1,j2,j3,j5,j4); 2 N*( - 3*N + 8*N - 4) g(l,j1,j2,j3,j4,j5,j1)*g(l1,j2,j5,j3,j4); 2 N *( - N + 2) g(l,j1,j2,j3,j4,j5,j1,j2,j5)*g(l1,j4,j3); 2 2 N *( - N + 6*N - 4) g(l,j1,j2)*g(l1,j3,j4,j5,j6,j1,j2,j3,j4,j5,j6); 2 3 2 N *(N - 12*N + 28*N - 16) g(l,j1,j2,j3,j4)*g(l1,j5,j6,j1,j2,j3,j4,j6,j5); 3 N *(3*N - 2) g(l,j1,j2,j3,j4,j5,j6)*g(l1,j1,j2,j4,j3,j6,j5); 2 N*(7*N - 22*N + 16) g(l,j1,j2,j3,j4,j5,j6,j1,j2)*g(l1,j6,j3,j4,j5); 2 2 N *( - 3*N + 8*N - 4) g(l,j1,j2,j3,j4,j5,j6,j7,j1,j2,j3,j4,j5)*g(l1,j6,j7); 2 4 3 2 N *(N - 20*N + 100*N - 160*N + 80) g(l,j1,j2,j3,j4,j5,j6,j7,j1,j2,j3)*g(l1,j4,j5,j7,j6); 2 3 2 N *(N - 8*N + 16*N - 8) g(l,j1,j2,j3,j4,j5,j6,j7,j2)*g(l1,j1,j3,j4,j5,j6,j7); 3 2 N*( - 15*N + 60*N - 76*N + 32) % COPYRIGHT (C) 1988,1990, INSTITUTE OF NUCLEAR PHYSICS, MOSCOW STATE U. % CVITEST Test of CVITANOVIC PACKAGE % AUTHOR A. KRYUKOV, A.RODIONOV, A.TARANOV % VERSION 1.2 % RELEASE 11-MAR-90 % % Test for trace of Dirac matrices. % % All tests are the lattices with difference lines % (Use notation from SIGSAM Bull, 1989, v.4,no.23, pp.15-24) index m1,m2,m3,m4,m5,m6,m7,m8,m9,m0; index n1,n2,n3,n4,n5,n6,n7,n8,n9,n0; vecdim n; g(l,n1,n1); N g(l,n1,m1,n1,m1); N*( - N + 2) g(l,n1,n2,n2,n1); 2 N g(l,n1,n2,m1,n2,n1,m1); 2 N*(N - 4*N + 4) g(l,n1,n2,m1,m2,n2,n1,m2,m1); 3 2 N*(N - 8*N + 24*N - 16) g(l,n1,n2,n3,n3,n2,n1); 3 N g(l,n1,n2,n3,m1,n3,n2,n1,m1); 3 2 N*( - N + 6*N - 12*N + 8) g(l,n1,n2,n3,m1,m2,n3,n2,n1,m2,m1); 4 3 2 N*(N - 12*N + 60*N - 112*N + 64) g(l,n1,n2,n3,m1,m2,m3,n3,n2,n1,m3,m2,m1); 5 4 3 2 N*( - N + 18*N - 144*N + 528*N - 816*N + 416) g(l,n1,n2,n3,m1,n3,n1,n2,m1); 3 2 N*(N - 8*N + 16*N - 8) g(l,n1,n2,n3,m1,m2,n3,n1,n2,m1,m2); 4 3 2 N*(N - 16*N + 72*N - 120*N + 64) g(l,n1,n2,n3,m1,m2,m3,n2,n3,n1,m3,m1,m2); 5 4 3 2 N*( - N + 22*N - 172*N + 584*N - 848*N + 416) % COPYRIGHT (C) 1988,1990, INSTITUTE OF NUCLEAR PHYSICS, MOSCOW STATE U. % CVITWEEL TEST OF CVITANOVIC PACKAGE % AUTHOR A. KRYUKOV, ARODIONOV, A.TARANOV % VERSION 1.2 % RELEASE 11-MAR-90 index j1,j2,j3,j4,j5,j6,j7,j8,j9,j0; vecdim n$ % Test of CVITANOVIC PACKAGE % % All tests are the weels with defferent spoke % (Use notation from SIGSAM Bull, 1989, v.23, no.4, pp.15-24) g(l,j1,j2,j2,j1); 2 N g(l,j1,j2,j3,j1,j2,j3); 2 N*( - N + 6*N - 4) g(l,j1,j2,j3,j1,j3,j2); 2 N*(N - 4*N + 4) g(l,j1,j2,j3,j3,j2,j1); 3 N g(l,j1,j2,j3,j4,j1,j2,j3,j4); 3 2 N*(N - 12*N + 28*N - 16) g(l,j1,j2,j3,j4,j1,j2,j4,j3); 3 2 N*( - N + 10*N - 24*N + 16) g(l,j1,j2,j3,j4,j1,j4,j2,j3); 3 2 N*(N - 8*N + 16*N - 8) g(l,j1,j2,j3,j4,j1,j4,j3,j2); 3 2 N*( - N + 6*N - 12*N + 8) g(l,j1,j2,j3,j4,j5,j1,j2,j3,j4,j5); 4 3 2 N*(N - 20*N + 100*N - 160*N + 80) g(l,j1,j2,j3,j4,j5,j1,j2,j3,j5,j4); 4 3 2 N*( - N + 18*N - 88*N + 152*N - 80) g(l,j1,j2,j3,j4,j5,j1,j2,j5,j3,j4); 4 3 2 N*(N - 16*N + 72*N - 120*N + 64) g(l,j1,j2,j3,j4,j5,j1,j2,j5,j4,j3); 4 3 2 N*( - N + 14*N - 60*N + 112*N - 64) g(l,j1,j2,j3,j4,j5,j6,j1,j2,j3,j4,j5,j6); 5 4 3 2 N*( - N + 30*N - 260*N + 840*N - 1120*N + 512) g(l,j1,j2,j3,j4,j5,j6,j1,j2,j3,j4,j6,j5); 5 4 3 2 N*(N - 28*N + 236*N - 784*N + 1088*N - 512) g(l,j1,j2,j3,j4,j5,j6,j1,j2,j4,j3,j6,j5); 5 4 3 2 N*( - N + 26*N - 216*N + 736*N - 1056*N + 512) g(l,j1,j2,j3,j4,j5,j6,j1,j2,j6,j3,j4,j5); 5 4 3 2 N*(N - 24*N + 176*N - 536*N + 704*N - 320) g(l,j1,j2,j3,j4,j5,j6,j7,j1,j2,j3,j4,j5,j6,j7); 6 5 4 3 2 N*( - N + 42*N - 560*N + 3080*N - 7840*N + 9184*N - 3904) g(l,j1,j2,j3,j4,j5,j6,j7,j1,j2,j3,j4,j5,j7,j6); 6 5 4 3 2 N*(N - 40*N + 520*N - 2880*N + 7520*N - 9024*N + 3904) g(l,j1,j2,j3,j4,j5,j6,j7,j2,j1,j3,j4,j5,j6,j7); 6 5 4 3 2 N*(N - 40*N + 520*N - 2880*N + 7520*N - 9024*N + 3904) % Test of example that calculated incorrectly in earlier package. index ix,iy,iz; mass p1=mm, p2=mm, p3=mm, p4=mm, k1=0; mshell p1,p2,p3,p4,k1; vector q1,q2; operator ga,gb; for all p let ga(p)=g(la,p) + mm, gb(p)=g(lb,p) + mm; xx := g(la,ix)*g(la,iy)*(g(lb,ix)*gb(p1)*g(lb,iy)*gb(q2) + gb(p3)*g(lb,ix)*g(lb,iy)); 2 XX := - P1.Q2*N + 2*P1.Q2 + N*MM + N*MM let q1=p1-k1, q2=p3+k1; xx; 2 - P1.P3*N + 2*P1.P3 - P1.K1*N + 2*P1.K1 + N*MM + N*MM end; Quitting