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REDUCE 3.6, 15-Jul-95, patched to 6 Mar 96 ... % 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 + mm *n + mm*n let q1=p1-k1, q2=p3+k1; xx; 2 - k1.p1*n + 2*k1.p1 - p1.p3*n + 2*p1.p3 + mm *n + mm*n end; (TIME: cvit 1820 1820)