/*********************************************************/ /* WELCOME TO THE MACSYMA PROGRAM FOR THE */ /* CALCULATION OF THE SYMMETRY GROUP */ /* IN BATCH MODE */ /* WRITTEN BY B. CHAMPAGNE AND W. HEREMAN */ /* Project Supervision: P. WINTERNITZ */ /* Version 2.0 released on May 29, 1995 */ /* Copyright 1991 */ /*********************************************************/ You are using the 3 equations of the system. *** Number of determining equations before simplifications: 249 . *** 2 2 WARNING ! We eliminated the factor: U S1 S2 1 2 dPHI3 2 which was the coefficient of - U ----- S1 S2 1 dU 2 2 3 2 List of factors that are cancelled: [U A2 S1, U , U S2, U A2 S1, U A2, 1 1 1 1 1 3 2 2 2 2 2 3 2 2 2 U A2, U S1 W2 , U W2 , S1, S2, U S1, U S1 S2 , U S1 S2 ] 1 1 1 1 1 1 *** Number of determining equations after simplifications: 30 . *** *** These determining equations are stored in LODE. *** (C32) PRINTEQN(LODE); dPHI3 Equation 1 : ----- = 0 dU 2 dPHI3 Equation 2 : ----- = 0 dU 1 2 d PHI3 Equation 3 : ------ = 0 2 dU 3 dETA3 Equation 4 : ----- = 0 dX 4 dETA2 Equation 5 : ----- = 0 dX 4 dETA1 Equation 6 : ----- = 0 dX 4 Equation 7 : 2 dF1 d ETA2 2 --- + ------- = 0 dX dX dX 3 2 3 Equation 8 : dETA4 dETA1 ----- - 2 ----- = 0 dX dX 4 1 Equation 9 : 2 d ETA2 dF1 ------ S2 - 2 --- S1 = 0 2 dX dX 2 3 Equation 10 : dETA2 ----- (S2 - S1) = 0 dX 3 Equation 11 : dETA1 ----- (S2 - S1) = 0 dX 3 Equation 12 : dETA4 dETA1 ----- - ----- = 0 dX dX 4 1 Equation 13 : 2 2 d PHI3 d ETA4 2 ------- - ------ = 0 dU dX 2 3 4 dX 4 Equation 14 : 2 2 d PHI3 d ETA2 2 ------- - ------ = 0 dX dU 2 2 3 dX 3 Equation 15 : 2 dF1 d ETA2 4 --- - ------ = 0 dX 2 2 dX 3 Equation 16 : 2 2 dF1 d ETA2 d ETA1 2 --- + ------- + 4 ------- = 0 dX dX dX dX dX 3 2 3 1 3 Equation 17 : 2 2 d ETA2 dF1 d ETA1 ------ S2 - 2 --- S1 - 4 ------- S1 = 0 2 dX dX dX dX 2 1 2 3 Equation 18 : 2 dETA2 dF2 d ETA1 ----- W1 - --- S1 - 2 U ------- S1 = 0 dX dX 2 dX dX 3 2 1 2 Equation 19 : 2 dETA1 dF2 d ETA1 ----- W1 - --- S1 - 2 U ------ S1 = 0 dX dX 2 2 3 1 dX 1 Equation 20 : 2 2 2 d ETA1 dF1 d ETA1 d ETA1 ------ S2 - 2 --- S1 + ------ S1 - 3 ------ S1 = 0 2 dX 2 2 dX 1 dX dX 3 2 1 Equation 21 : 2 dETA4 dETA1 dF2 d ETA1 ----- W1 - ----- W1 + --- S2 + 2 U ------- S2 = 0 dX dX dX 2 dX dX 4 1 3 1 3 Equation 22 : 2 2 2 d ETA1 dF1 d ETA1 d ETA1 ------ S2 - 2 --- S1 + ------ S1 + ------ S1 = 0 2 dX 2 2 dX 1 dX dX 3 2 1 Equation 23 : 2 2 2 2 d ETA2 d ETA1 d PHI3 d ETA1 ------- S2 + ------- S2 + 2 ------- S1 - ------- S1 = 0 dX dX dX dX dU dX dX dX 2 3 1 3 3 3 1 3 Equation 24 : 2 2 2 2 d PHI3 d ETA1 d ETA1 d ETA1 2 ------- - ------ - ------ - ------ = 0 dX dU 2 2 2 1 3 dX dX dX 3 2 1 Equation 25 : dPHI3 dETA4 dETA1 ----- - 2 F1 - 2 ----- + 2 ----- = 0 dU dX dX 3 4 1 Equation 26 : 2 2 2 dF1 d ETA1 d ETA1 d ETA1 4 --- - ------ - ------ - ------ = 0 dX 2 2 2 1 dX dX dX 3 2 1 Equation 27 : 2 2 2 d ETA2 d ETA1 dF1 d ETA1 ------- S2 + ------- S2 + 4 --- S1 - ------- S1 = 0 dX dX dX dX dX dX dX 2 3 1 3 3 1 3 Equation 28 : 2 2 2 2 2 2 d PHI3 2 d PHI3 2 d PHI3 2 d PHI3 2 d F1 2 d F1 ------ W2 + ------ W2 + ------ W2 - ------ + 2 U A2 ---- + 2 U A2 ---- 2 2 2 2 1 2 1 2 dX dX dX dX dX dX 3 2 1 4 3 2 2 2 d F1 + 2 U A2 ---- = 0 1 2 dX 1 Equation 29 : 2 3 2 2 3 dF1 d F2 d ETA1 d F2 d F2 d ETA1 2 --- W1 + ---- S2 + 2 U ------- S2 + ---- S1 + ---- S1 + 2 U ------ S1 dX 2 2 2 2 2 2 3 3 dX dX dX dX dX dX 3 1 3 2 1 1 3 d ETA1 dF1 + 2 U ------- S1 + 2 --- = 0 2 2 dX dX dX 4 1 2 Equation 30 : 2 2 2 2 dF2 d ETA1 d F1 d F1 d F1 dF2 2 --- W1 + 4 U ------- W1 - ---- S2 - ---- S1 - ---- S1 + 2 A1 PHI3 + 2 --- dX 2 dX dX 2 2 2 dX 3 1 3 dX dX dX 4 3 2 1 2 d ETA4 dETA4 dETA1 - 2 U ------ + 4 U A1 ----- - 4 U A1 ----- = 0 2 2 3 dX 3 dX dX 4 1 4 (D32) DONE