n_particles:='3$ 
n_total_spin:='6$ 
http:='nil$ 
sub_model:='ok$ 
direct_model:='ok$ 
just_v_type:='nil$ 
nnvertex:='144$ 
pdl_add:='((pr1 0 p1m w1d 0 0 0 0 0 0 1 0 0 0) (pr2 0 p2m 
w2d 0 1 0 0 0 0 1 -1 0 0) (pr3 0 p3m w3d 0 0 0 0 0 0 1 0 0 0
) (pr4 2 p4m w4d 0 0 0 0 0 0 1 0 0 0) (pr5 4 p5m w5d 0 0 0 0
0 0 1 0 0 0) (pr6 4 p6m w6d 0 0 0 0 0 0 1 0 0 0) (pr7 4 p7m
w7d 0 0 0 0 0 0 1 0 0 0) (pr8 4 p8m w8d 0 0 0 0 0 0 1 0 0 0)
(pr9 4 p9m w9d 0 0 0 0 0 0 1 0 0 0) (pr10 4 p10m w10d 0 0 0
0 0 0 1 0 0 0) (pr11 4 p11m w11d 0 0 0 0 0 0 1 0 0 0) (pr12
4 p12m w12d 0 0 0 0 0 0 1 0 0 0) (pr13 2 p13m w13d 0 1 0 0 0
0 1 -1 0 0) (pr14 4 p14m w14d 0 1 0 0 0 0 1 -1 0 0) (pr15 2
p15m w15d 0 1 0 0 0 0 1 -1 0 0) (pr16 6 p16m w16d 0 1 0 0 0
0 1 -1 0 0) (pr17 8 p17m w17d 0 1 0 0 0 0 1 -1 0 0) (pr18 10
p18m w18d 0 1 0 0 0 0 1 -1 0 0) (pr19 0 p19m w19d 0 0 0 0 0
0 1 0 0 0))$ 
spflist_add:='(list)$ 
v_t_list:='nil$ 
chargelist:='((pr1 0) (pr2 0) (pr3 0) (pr4 0) (pr5 0) (pr6 0
) (pr7 0) (pr8 0) (pr9 0) (pr10 0) (pr11 0) (pr12 0) (pr13 0
) (pr14 0) (pr15 0) (pr16 0) (pr17 0) (pr18 0) (pr19 0) (gsg
0) (gs 0) (p 0) (z 0) (w 1) (w -1) (z 0) (p 0) (qd (quotient
(minus 1) 3)) (qu (quotient 2 3)) (qu (quotient 2 3)) (qd (
quotient (minus 1) 3)) (ef -1) (nue 0) (ef -1) (h0 0) (numu
0) (mu -1) (nut 0) (tau -1) (mu -1) (tau -1) (qc (quotient 2
3)) (qs (quotient (minus 1) 3)) (qt (quotient 2 3)) (qb (
quotient (minus 1) 3)) (qc (quotient 2 3)) (qt (quotient 2 3
)) (qs (quotient (minus 1) 3)) (qb (quotient (minus 1) 3)))$ 
phyinput_add:='(p1m w1d p2m w2d p3m w3d p4m w4d p5m w5d p6m
w6d p7m w7d p8m w8d p9m w9d p10m w10d p11m w11d p12m w12d 
p13m w13d p14m w14d p15m w15d p16m w16d p17m w17d p18m w18d
p19m w19d)$ 
platexname_add:='( 
      (pr1  "\pi^0") 
      (pr2  "K^0") 
      (pr3  "\eta^{'}[958]") 
      (pr4  "\omega^h[1900]") 
      (pr5  "f_2[1430]") 
      (pr6  "f^{'}_2[1525]") 
      (pr7  "f_2[1565]") 
      (pr8  "f_2[1640]") 
      (pr9  "f_2[1810]") 
      (pr10  "f_2[1910]") 
      (pr11  "f_2[1950]") 
      (pr12  "f_2[2010]") 
      (pr13  "K^{*}[892]^0") 
      (pr14  "K^{*}_2[1430]") 
      (pr15  "K^{*}[1680]") 
      (pr16  "K^{*}_3[1780]") 
      (pr17  "K^{*}_4[2045]") 
      (pr18  "K^{*}_5[2380]") 
      (pr19  "\eta_{c}[2980]") 
     )$ 
 
 
inputlist_add:='( 
      (p1m  0.13498) 
      (w1d  0.0001) 
      (p2m  0.49767) 
      (w2d  0.0001) 
      (p3m  0.95778) 
      (w3d  0.0002) 
      (p4m  1.9) 
      (w4d  0.15) 
      (p5m  1.43) 
      (w5d  0.081) 
      (p6m  1.525) 
      (w6d  0.076) 
      (p7m  1.542) 
      (w7d  1.131) 
      (p8m  1.638) 
      (w8d  0.099) 
      (p9m  1.815) 
      (w9d  0.197) 
      (p10m  1.915) 
      (w10d  0.163) 
      (p11m  1.934) 
      (w11d  0.453) 
      (p12m  2.011) 
      (w12d  0.202) 
      (p13m  0.89166) 
      (w13d  0.051) 
      (p14m  1.4256) 
      (w14d  0.099) 
      (p15m  1.717) 
      (w15d  0.332) 
      (p16m  1.776) 
      (w16d  0.159) 
      (p17m  2.045) 
      (w17d  0.198) 
      (p18m  2.382) 
      (w18d  0.178) 
      (p19m  2.9792) 
      (w19d  0.013) 
     )$ 
 
pa_decay_list:='((pr13 (24 (pr2 pr1) 2) (23 (pr2 pr1) 1)) (
pr14 (70 (pr13 pr1) 2) (69 (pr13 pr1) 1) (37 (pr2 pr1) 2) (
36 (pr2 pr1) 1)) (pr5 (86 (pr13 pr2) 2) (85 (pr13 pr2) 2) (
63 (pr1 pr1) 2) (62 (pr2 pr2) 2)) (pr6 (84 (pr13 pr2) 2) (83
(pr13 pr2) 2) (60 (pr1 pr1) 2) (59 (pr2 pr2) 2)) (pr7 (82 (
pr13 pr2) 2) (81 (pr13 pr2) 2) (57 (pr1 pr1) 2) (56 (pr2 pr2
) 2)) (pr8 (80 (pr13 pr2) 2) (79 (pr13 pr2) 2) (54 (pr1 pr1)
2) (53 (pr2 pr2) 2)) (pr15 (66 (pr14 pr1) 1) (65 (pr14 pr1)
2) (30 (pr13 pr1) 2) (29 (pr13 pr1) 1) (20 (pr2 pr1) 2) (19
(pr2 pr1) 1) (18 (pr3 pr2) 2) (17 (pr3 pr2) 1)) (pr16 (116 (
pr14 pr1) 2) (115 (pr14 pr1) 1) (108 (pr13 pr1) 2) (107 (
pr13 pr1) 1) (92 (pr2 pr1) 2) (91 (pr2 pr1) 1) (90 (pr3 pr2)
2) (89 (pr3 pr2) 1)) (pr9 (96 (pr13 pr13) 2) (78 (pr13 pr2)
2) (77 (pr13 pr2) 2) (51 (pr1 pr1) 2) (50 (pr2 pr2) 2)) (pr4
(64 (pr13 pr13) 2) (33 (pr13 pr2) 2) (32 (pr13 pr2) 2) (26 (
pr1 pr1) 2)) (pr10 (95 (pr13 pr13) 2) (76 (pr13 pr2) 2) (75
(pr13 pr2) 2) (48 (pr1 pr1) 2) (47 (pr2 pr2) 2)) (pr11 (101
(pr14 pr2) 2) (100 (pr14 pr2) 2) (94 (pr13 pr13) 2) (74 (
pr13 pr2) 2) (73 (pr13 pr2) 2) (45 (pr1 pr1) 2) (44 (pr2 pr2
) 2) (43 (pr3 pr3) 2)) (pr12 (99 (pr14 pr2) 2) (98 (pr14 pr2
) 2) (93 (pr13 pr13) 2) (72 (pr13 pr2) 2) (71 (pr13 pr2) 2)
(41 (pr1 pr1) 2) (40 (pr2 pr2) 2) (39 (pr3 pr3) 2)) (pr17 (
138 (pr5 pr2) 2) (137 (pr5 pr2) 1) (136 (pr6 pr2) 2) (135 (
pr6 pr2) 1) (134 (pr7 pr2) 2) (133 (pr7 pr2) 1) (132 (pr14 
pr1) 2) (131 (pr14 pr1) 1) (124 (pr13 pr1) 2) (123 (pr13 pr1
) 1) (122 (pr13 pr3) 2) (121 (pr13 pr3) 1) (118 (pr15 pr1) 2
) (117 (pr15 pr1) 1) (114 (pr2 pr1) 2) (113 (pr2 pr1) 1) (
112 (pr3 pr2) 2) (111 (pr3 pr2) 1)) (pr18 (144 (pr13 pr1) 2)
(143 (pr13 pr1) 1) (142 (pr13 pr3) 2) (141 (pr13 pr3) 1) (
140 (pr15 pr1) 2) (139 (pr15 pr1) 1) (130 (pr2 pr1) 2) (129
(pr2 pr1) 1) (128 (pr3 pr2) 2) (127 (pr3 pr2) 1)) (pr19 (126
(pr18 pr2) 2) (125 (pr18 pr2) 2) (120 (pr17 pr13) 2) (119 (
pr17 pr13) 2) (110 (pr17 pr2) 2) (109 (pr17 pr2) 2) (106 (
pr16 pr13) 2) (105 (pr16 pr13) 2) (104 (pr5 pr5) 2) (103 (
pr6 pr5) 2) (102 (pr7 pr5) 2) (97 (pr14 pr14) 2) (88 (pr16 
pr2) 2) (87 (pr16 pr2) 2) (68 (pr14 pr13) 2) (67 (pr14 pr13)
2) (61 (pr5 pr3) 2) (58 (pr6 pr3) 2) (55 (pr7 pr3) 2) (52 (
pr8 pr3) 2) (49 (pr9 pr3) 2) (46 (pr10 pr3) 2) (42 (pr11 pr3
) 2) (38 (pr12 pr3) 2) (35 (pr14 pr2) 2) (34 (pr14 pr2) 2) (
31 (pr13 pr13) 2) (28 (pr15 pr13) 2) (27 (pr15 pr13) 2) (25
(pr4 pr3) 2) (22 (pr13 pr2) 2) (21 (pr13 pr2) 2) (16 (pr15 
pr2) 2) (15 (pr15 pr2) 2)))$ 
htionvvlist_add:='((144 ((pr1 0 r3) (pr13 -1 r2 vf) (pr18 1
r1 v va vb vc vd)) (times (cons r2 va) (cons r2 vb) (cons r2
vc) (cons r2 vd) (eps r1 r2 v vf) f113 g i)) (143 ((pr18 -1
r1 v va vb vc vd) (pr13 1 r2 vf) (pr1 0 r3)) (minus (times (
cons r2 va) (cons r2 vb) (cons r2 vc) (cons r2 vd) (eps r1 
r2 v vf) f113 g i))) (142 ((pr3 0 r3) (pr13 -1 r2 vf) (pr18
1 r1 v va vb vc vd)) (minus (times (cons r2 va) (cons r2 vb)
(cons r2 vc) (cons r2 vd) (eps r1 r2 v vf) f112 g))) (141 ((
pr18 -1 r1 v va vb vc vd) (pr13 1 r2 vf) (pr3 0 r3)) (minus
(times (cons r2 va) (cons r2 vb) (cons r2 vc) (cons r2 vd) (
eps r1 r2 v vf) f112 g))) (140 ((pr1 0 r3) (pr15 -1 r2 vf) (
pr18 1 r1 v va vb vc vd)) (times (cons r2 va) (cons r2 vb) (
cons r2 vc) (cons r2 vd) (eps r1 r2 v vf) f111 g i)) (139 ((
pr18 -1 r1 v va vb vc vd) (pr15 1 r2 vf) (pr1 0 r3)) (minus
(times (cons r2 va) (cons r2 vb) (cons r2 vc) (cons r2 vd) (
eps r1 r2 v vf) f111 g i))) (138 ((pr2 -1 r3) (pr5 0 r2 vd 
vf) (pr17 1 r1 v va vb vc)) (plus (minus (times (cons r1 vf)
(cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f110
g)) (minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (
eps r1 r2 v vd) f109 g)))) (137 ((pr17 -1 r1 v va vb vc) (
pr5 0 r2 vd vf) (pr2 1 r3)) (plus (minus (times (cons r1 vf)
(cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f110
g)) (minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (
eps r1 r2 v vd) f109 g)))) (136 ((pr2 -1 r3) (pr6 0 r2 vd vf
) (pr17 1 r1 v va vb vc)) (plus (minus (times (cons r1 vf) (
cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f108
g)) (minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (
eps r1 r2 v vd) f107 g)))) (135 ((pr17 -1 r1 v va vb vc) (
pr6 0 r2 vd vf) (pr2 1 r3)) (plus (minus (times (cons r1 vf)
(cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f108
g)) (minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (
eps r1 r2 v vd) f107 g)))) (134 ((pr2 -1 r3) (pr7 0 r2 vd vf
) (pr17 1 r1 v va vb vc)) (plus (minus (times (cons r1 vf) (
cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f106
g)) (minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (
eps r1 r2 v vd) f105 g)))) (133 ((pr17 -1 r1 v va vb vc) (
pr7 0 r2 vd vf) (pr2 1 r3)) (plus (minus (times (cons r1 vf)
(cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f106
g)) (minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (
eps r1 r2 v vd) f105 g)))) (132 ((pr1 0 r3) (pr14 -1 r2 vd 
vf) (pr17 1 r1 v va vb vc)) (plus (times (cons r1 vf) (cons
r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f104 g i)
(times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v 
vd) f103 g i))) (131 ((pr17 -1 r1 v va vb vc) (pr14 1 r2 vd
vf) (pr1 0 r3)) (plus (minus (times (cons r1 vf) (cons r2 va
) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f104 g i)) (
minus (times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1
r2 v vd) f103 g i)))) (130 ((pr1 0 r3) (pr2 -1 r2) (pr18 1 
r1 v va vb vc vd)) (minus (times (cons r2 v) (cons r2 va) (
cons r2 vb) (cons r2 vc) (cons r2 vd) f102 g))) (129 ((pr18
-1 r1 v va vb vc vd) (pr2 1 r2) (pr1 0 r3)) (times (cons r2
v) (cons r2 va) (cons r2 vb) (cons r2 vc) (cons r2 vd) f102
g)) (128 ((pr2 -1 r3) (pr3 0 r2) (pr18 1 r1 v va vb vc vd))
(times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 vc) (
cons r2 vd) f101 g i)) (127 ((pr18 -1 r1 v va vb vc vd) (pr3
0 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 va) (cons r2 
vb) (cons r2 vc) (cons r2 vd) f101 g i)) (126 ((pr2 -1 r3) (
pr19 0 r2) (pr18 1 r1 v va vb vc vd)) (times (cons r2 v) (
cons r2 va) (cons r2 vb) (cons r2 vc) (cons r2 vd) f100 g i)
) (125 ((pr18 -1 r1 v va vb vc vd) (pr19 0 r2) (pr2 1 r3)) (
times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 vc) (
cons r2 vd) f100 g i)) (124 ((pr1 0 r3) (pr13 -1 r2 vd) (
pr17 1 r1 v va vb vc)) (times (cons r2 va) (cons r2 vb) (
cons r2 vc) (eps r1 r2 v vd) f99 g)) (123 ((pr17 -1 r1 v va
vb vc) (pr13 1 r2 vd) (pr1 0 r3)) (minus (times (cons r2 va)
(cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f99 g))) (122 ((
pr3 0 r3) (pr13 -1 r2 vd) (pr17 1 r1 v va vb vc)) (minus (
times (cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd
) f98 g i))) (121 ((pr17 -1 r1 v va vb vc) (pr13 1 r2 vd) (
pr3 0 r3)) (minus (times (cons r2 va) (cons r2 vb) (cons r2
vc) (eps r1 r2 v vd) f98 g i))) (120 ((pr19 0 r3) (pr13 -1 
r2 vd) (pr17 1 r1 v va vb vc)) (minus (times (cons r2 va) (
cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f97 g i))) (119 ((
pr17 -1 r1 v va vb vc) (pr13 1 r2 vd) (pr19 0 r3)) (minus (
times (cons r2 va) (cons r2 vb) (cons r2 vc) (eps r1 r2 v vd
) f97 g i))) (118 ((pr1 0 r3) (pr15 -1 r2 vd) (pr17 1 r1 v 
va vb vc)) (times (cons r2 va) (cons r2 vb) (cons r2 vc) (
eps r1 r2 v vd) f96 g)) (117 ((pr17 -1 r1 v va vb vc) (pr15
1 r2 vd) (pr1 0 r3)) (minus (times (cons r2 va) (cons r2 vb)
(cons r2 vc) (eps r1 r2 v vd) f96 g))) (116 ((pr1 0 r3) (
pr14 -1 r2 vc vd) (pr16 1 r1 v va vb)) (plus (times (cons r1
vd) (cons r2 va) (cons r2 vb) (eps r1 r2 v vc) f95 g) (times
(cons r2 va) (cons vb vd) (eps r1 r2 v vc) f94 g))) (115 ((
pr16 -1 r1 v va vb) (pr14 1 r2 vc vd) (pr1 0 r3)) (plus (
minus (times (cons r1 vd) (cons r2 va) (cons r2 vb) (eps r1
r2 v vc) f95 g)) (minus (times (cons r2 va) (cons vb vd) (
eps r1 r2 v vc) f94 g)))) (114 ((pr1 0 r3) (pr2 -1 r2) (pr17
1 r1 v va vb vc)) (minus (times (cons r2 v) (cons r2 va) (
cons r2 vb) (cons r2 vc) f93 g i))) (113 ((pr17 -1 r1 v va 
vb vc) (pr2 1 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va
) (cons r2 vb) (cons r2 vc) f93 g i)) (112 ((pr2 -1 r3) (pr3
0 r2) (pr17 1 r1 v va vb vc)) (times (cons r2 v) (cons r2 va
) (cons r2 vb) (cons r2 vc) f92 g)) (111 ((pr17 -1 r1 v va 
vb vc) (pr3 0 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 va
) (cons r2 vb) (cons r2 vc) f92 g)) (110 ((pr2 -1 r3) (pr19
0 r2) (pr17 1 r1 v va vb vc)) (times (cons r2 v) (cons r2 va
) (cons r2 vb) (cons r2 vc) f91 g)) (109 ((pr17 -1 r1 v va 
vb vc) (pr19 0 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 
va) (cons r2 vb) (cons r2 vc) f91 g)) (108 ((pr1 0 r3) (pr13
-1 r2 vc) (pr16 1 r1 v va vb)) (times (cons r2 va) (cons r2
vb) (eps r1 r2 v vc) f90 g i)) (107 ((pr16 -1 r1 v va vb) (
pr13 1 r2 vc) (pr1 0 r3)) (minus (times (cons r2 va) (cons 
r2 vb) (eps r1 r2 v vc) f90 g i))) (106 ((pr19 0 r3) (pr13 
-1 r2 vc) (pr16 1 r1 v va vb)) (minus (times (cons r2 va) (
cons r2 vb) (eps r1 r2 v vc) f89 g))) (105 ((pr16 -1 r1 v va
vb) (pr13 1 r2 vc) (pr19 0 r3)) (minus (times (cons r2 va) (
cons r2 vb) (eps r1 r2 v vc) f89 g))) (104 ((pr5 0 r1 v va)
(pr5 0 r2 vb vc) (pr19 0 r3)) (plus (minus (times (cons r1 
vc) (cons r2 va) (eps r1 r2 v vb) f88 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f87 g)))) (103 ((pr6 0 r1 v va)
(pr5 0 r2 vb vc) (pr19 0 r3)) (plus (minus (times (cons r1 
vc) (cons r2 va) (eps r1 r2 v vb) f86 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f85 g)))) (102 ((pr7 0 r1 v va)
(pr5 0 r2 vb vc) (pr19 0 r3)) (plus (minus (times (cons r1 
vc) (cons r2 va) (eps r1 r2 v vb) f84 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f83 g)))) (101 ((pr2 -1 r3) (
pr11 0 r2 vb vc) (pr14 1 r1 v va)) (plus (minus (times (cons
r1 vc) (cons r2 va) (eps r1 r2 v vb) f82 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f81 g)))) (100 ((pr14 -1 r1 v 
va) (pr11 0 r2 vb vc) (pr2 1 r3)) (plus (minus (times (cons
r1 vc) (cons r2 va) (eps r1 r2 v vb) f82 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f81 g)))) (99 ((pr2 -1 r3) (
pr12 0 r2 vb vc) (pr14 1 r1 v va)) (plus (minus (times (cons
r1 vc) (cons r2 va) (eps r1 r2 v vb) f80 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f79 g)))) (98 ((pr14 -1 r1 v va
) (pr12 0 r2 vb vc) (pr2 1 r3)) (plus (minus (times (cons r1
vc) (cons r2 va) (eps r1 r2 v vb) f80 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f79 g)))) (97 ((pr14 -1 r1 v va
) (pr14 1 r2 vb vc) (pr19 0 r3)) (plus (minus (times (cons 
r1 vc) (cons r2 va) (eps r1 r2 v vb) f78 g)) (minus (times (
cons va vc) (eps r1 r2 v vb) f77 g)))) (96 ((pr9 0 r1 v va)
(pr13 -1 r2 vb) (pr13 1 r3 vc)) (plus (times (cons r1 vb) (
cons r1 vc) (cons r2 v) (cons r2 va) f76 g) (times (cons r1
vb) (cons r2 v) (cons va vc) f75 g) (minus (times (cons r1 
vc) (cons r2 v) (cons r2 va) (cons r3 vb) f76 g)) (times (
cons r1 vc) (cons r2 v) (cons va vb) f73 g) (minus (times (
cons r1 vc) (cons r2 v) (cons va vb) f75 g)) (times (cons r2
v) (cons r2 va) (cons vb vc) f74 g) (times (cons r2 v) (cons
r3 vb) (cons va vc) f73 g) (times (cons v vb) (cons va vc) 
f72 g) (times (cons v vc) (cons va vb) f72 g))) (95 ((pr10 0
r1 v va) (pr13 -1 r2 vb) (pr13 1 r3 vc)) (plus (times (cons
r1 vb) (cons r1 vc) (cons r2 v) (cons r2 va) f71 g) (times (
cons r1 vb) (cons r2 v) (cons va vc) f70 g) (minus (times (
cons r1 vc) (cons r2 v) (cons r2 va) (cons r3 vb) f71 g)) (
times (cons r1 vc) (cons r2 v) (cons va vb) f68 g) (minus (
times (cons r1 vc) (cons r2 v) (cons va vb) f70 g)) (times (
cons r2 v) (cons r2 va) (cons vb vc) f69 g) (times (cons r2
v) (cons r3 vb) (cons va vc) f68 g) (times (cons v vb) (cons
va vc) f67 g) (times (cons v vc) (cons va vb) f67 g))) (94 (
(pr11 0 r1 v va) (pr13 -1 r2 vb) (pr13 1 r3 vc)) (plus (
times (cons r1 vb) (cons r1 vc) (cons r2 v) (cons r2 va) f66
g) (times (cons r1 vb) (cons r2 v) (cons va vc) f65 g) (
minus (times (cons r1 vc) (cons r2 v) (cons r2 va) (cons r3
vb) f66 g)) (times (cons r1 vc) (cons r2 v) (cons va vb) f63
g) (minus (times (cons r1 vc) (cons r2 v) (cons va vb) f65 g
)) (times (cons r2 v) (cons r2 va) (cons vb vc) f64 g) (
times (cons r2 v) (cons r3 vb) (cons va vc) f63 g) (times (
cons v vb) (cons va vc) f62 g) (times (cons v vc) (cons va 
vb) f62 g))) (93 ((pr12 0 r1 v va) (pr13 -1 r2 vb) (pr13 1 
r3 vc)) (plus (times (cons r1 vb) (cons r1 vc) (cons r2 v) (
cons r2 va) f61 g) (times (cons r1 vb) (cons r2 v) (cons va
vc) f60 g) (minus (times (cons r1 vc) (cons r2 v) (cons r2 
va) (cons r3 vb) f61 g)) (times (cons r1 vc) (cons r2 v) (
cons va vb) f58 g) (minus (times (cons r1 vc) (cons r2 v) (
cons va vb) f60 g)) (times (cons r2 v) (cons r2 va) (cons vb
vc) f59 g) (times (cons r2 v) (cons r3 vb) (cons va vc) f58
g) (times (cons v vb) (cons va vc) f57 g) (times (cons v vc)
(cons va vb) f57 g))) (92 ((pr1 0 r3) (pr2 -1 r2) (pr16 1 r1
v va vb)) (minus (times (cons r2 v) (cons r2 va) (cons r2 vb
) f56 g))) (91 ((pr16 -1 r1 v va vb) (pr2 1 r2) (pr1 0 r3))
(times (cons r2 v) (cons r2 va) (cons r2 vb) f56 g)) (90 ((
pr2 -1 r3) (pr3 0 r2) (pr16 1 r1 v va vb)) (times (cons r2 v
) (cons r2 va) (cons r2 vb) f55 g i)) (89 ((pr16 -1 r1 v va
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cons r2 vb) f55 g i)) (88 ((pr2 -1 r3) (pr19 0 r2) (pr16 1 
r1 v va vb)) (times (cons r2 v) (cons r2 va) (cons r2 vb) 
f54 g i)) (87 ((pr16 -1 r1 v va vb) (pr19 0 r2) (pr2 1 r3))
(times (cons r2 v) (cons r2 va) (cons r2 vb) f54 g i)) (86 (
(pr2 -1 r3) (pr13 1 r2 vb) (pr5 0 r1 v va)) (minus (times (
cons r2 va) (eps r1 r2 v vb) f53 g i))) (85 ((pr5 0 r1 v va)
(pr13 -1 r2 vb) (pr2 1 r3)) (minus (times (cons r2 va) (eps
r1 r2 v vb) f53 g i))) (84 ((pr2 -1 r3) (pr13 1 r2 vb) (pr6
0 r1 v va)) (minus (times (cons r2 va) (eps r1 r2 v vb) f52
g i))) (83 ((pr6 0 r1 v va) (pr13 -1 r2 vb) (pr2 1 r3)) (
minus (times (cons r2 va) (eps r1 r2 v vb) f52 g i))) (82 ((
pr2 -1 r3) (pr13 1 r2 vb) (pr7 0 r1 v va)) (minus (times (
cons r2 va) (eps r1 r2 v vb) f51 g i))) (81 ((pr7 0 r1 v va)
(pr13 -1 r2 vb) (pr2 1 r3)) (minus (times (cons r2 va) (eps
r1 r2 v vb) f51 g i))) (80 ((pr2 -1 r3) (pr13 1 r2 vb) (pr8
0 r1 v va)) (minus (times (cons r2 va) (eps r1 r2 v vb) f50
g i))) (79 ((pr8 0 r1 v va) (pr13 -1 r2 vb) (pr2 1 r3)) (
minus (times (cons r2 va) (eps r1 r2 v vb) f50 g i))) (78 ((
pr2 -1 r3) (pr13 1 r2 vb) (pr9 0 r1 v va)) (minus (times (
cons r2 va) (eps r1 r2 v vb) f49 g i))) (77 ((pr9 0 r1 v va)
(pr13 -1 r2 vb) (pr2 1 r3)) (minus (times (cons r2 va) (eps
r1 r2 v vb) f49 g i))) (76 ((pr2 -1 r3) (pr13 1 r2 vb) (pr10
0 r1 v va)) (minus (times (cons r2 va) (eps r1 r2 v vb) f48
g i))) (75 ((pr10 0 r1 v va) (pr13 -1 r2 vb) (pr2 1 r3)) (
minus (times (cons r2 va) (eps r1 r2 v vb) f48 g i))) (74 ((
pr2 -1 r3) (pr13 1 r2 vb) (pr11 0 r1 v va)) (minus (times (
cons r2 va) (eps r1 r2 v vb) f47 g i))) (73 ((pr11 0 r1 v va
) (pr13 -1 r2 vb) (pr2 1 r3)) (minus (times (cons r2 va) (
eps r1 r2 v vb) f47 g i))) (72 ((pr2 -1 r3) (pr13 1 r2 vb) (
pr12 0 r1 v va)) (minus (times (cons r2 va) (eps r1 r2 v vb)
f46 g i))) (71 ((pr12 0 r1 v va) (pr13 -1 r2 vb) (pr2 1 r3))
(minus (times (cons r2 va) (eps r1 r2 v vb) f46 g i))) (70 (
(pr1 0 r3) (pr13 -1 r2 vb) (pr14 1 r1 v va)) (times (cons r2
va) (eps r1 r2 v vb) f45 g)) (69 ((pr14 -1 r1 v va) (pr13 1
r2 vb) (pr1 0 r3)) (minus (times (cons r2 va) (eps r1 r2 v 
vb) f45 g))) (68 ((pr19 0 r3) (pr13 -1 r2 vb) (pr14 1 r1 v 
va)) (minus (times (cons r2 va) (eps r1 r2 v vb) f44 g i)))
(67 ((pr14 -1 r1 v va) (pr13 1 r2 vb) (pr19 0 r3)) (minus (
times (cons r2 va) (eps r1 r2 v vb) f44 g i))) (66 ((pr1 0 
r3) (pr15 -1 r2 vb) (pr14 1 r1 v va)) (times (cons r2 va) (
eps r1 r2 v vb) f43 g)) (65 ((pr14 -1 r1 v va) (pr15 1 r2 vb
) (pr1 0 r3)) (minus (times (cons r2 va) (eps r1 r2 v vb) 
f43 g))) (64 ((pr13 -1 r1 v) (pr13 1 r2 va) (pr4 0 r3 vb)) (
plus (times (cons r1 va) (cons r1 vb) (cons r2 v) f42 g i) (
times (cons r1 va) (cons v vb) f41 g i) (times (cons r1 vb)
(cons r2 v) (cons r3 va) f42 g i) (times (cons r2 v) (cons 
va vb) f40 g i) (times (cons r2 v) (cons va vb) f41 g i) (
minus (times (cons r3 va) (cons v vb) f40 g i)))) (63 ((pr5
0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons 
r2 va) f39 g)) (62 ((pr5 0 r1 v va) (pr2 -1 r2) (pr2 1 r3))
(times (cons r2 v) (cons r2 va) f38 g)) (61 ((pr5 0 r1 v va)
(pr19 0 r2) (pr3 0 r3)) (times (cons r2 v) (cons r2 va) f37
g)) (60 ((pr6 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (times (cons
r2 v) (cons r2 va) f36 g)) (59 ((pr6 0 r1 v va) (pr2 -1 r2)
(pr2 1 r3)) (times (cons r2 v) (cons r2 va) f35 g)) (58 ((
pr6 0 r1 v va) (pr19 0 r2) (pr3 0 r3)) (times (cons r2 v) (
cons r2 va) f34 g)) (57 ((pr7 0 r1 v va) (pr1 0 r2) (pr1 0 
r3)) (times (cons r2 v) (cons r2 va) f33 g)) (56 ((pr7 0 r1
v va) (pr2 -1 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 va
) f32 g)) (55 ((pr7 0 r1 v va) (pr19 0 r2) (pr3 0 r3)) (
times (cons r2 v) (cons r2 va) f31 g)) (54 ((pr8 0 r1 v va)
(pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f30 g
)) (53 ((pr8 0 r1 v va) (pr2 -1 r2) (pr2 1 r3)) (times (cons
r2 v) (cons r2 va) f29 g)) (52 ((pr8 0 r1 v va) (pr19 0 r2)
(pr3 0 r3)) (times (cons r2 v) (cons r2 va) f28 g)) (51 ((
pr9 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (
cons r2 va) f27 g)) (50 ((pr9 0 r1 v va) (pr2 -1 r2) (pr2 1
r3)) (times (cons r2 v) (cons r2 va) f26 g)) (49 ((pr9 0 r1
v va) (pr19 0 r2) (pr3 0 r3)) (times (cons r2 v) (cons r2 va
) f25 g)) (48 ((pr10 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (
times (cons r2 v) (cons r2 va) f24 g)) (47 ((pr10 0 r1 v va)
(pr2 -1 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 va) f23
g)) (46 ((pr10 0 r1 v va) (pr19 0 r2) (pr3 0 r3)) (times (
cons r2 v) (cons r2 va) f22 g)) (45 ((pr11 0 r1 v va) (pr1 0
r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f21 g)) (44
((pr11 0 r1 v va) (pr2 -1 r2) (pr2 1 r3)) (times (cons r2 v)
(cons r2 va) f20 g)) (43 ((pr11 0 r1 v va) (pr3 0 r2) (pr3 0
r3)) (times (cons r2 v) (cons r2 va) f19 g)) (42 ((pr11 0 r1
v va) (pr19 0 r2) (pr3 0 r3)) (times (cons r2 v) (cons r2 va
) f18 g)) (41 ((pr12 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (
times (cons r2 v) (cons r2 va) f17 g)) (40 ((pr12 0 r1 v va)
(pr2 -1 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 va) f16
g)) (39 ((pr12 0 r1 v va) (pr3 0 r2) (pr3 0 r3)) (times (
cons r2 v) (cons r2 va) f15 g)) (38 ((pr12 0 r1 v va) (pr19
0 r2) (pr3 0 r3)) (times (cons r2 v) (cons r2 va) f14 g)) (
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cons r2 v) (cons r2 va) f13 g i))) (36 ((pr14 -1 r1 v va) (
pr2 1 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f13 g
i)) (35 ((pr2 -1 r3) (pr19 0 r2) (pr14 1 r1 v va)) (times (
cons r2 v) (cons r2 va) f12 g)) (34 ((pr14 -1 r1 v va) (pr19
0 r2) (pr2 1 r3)) (times (cons r2 v) (cons r2 va) f12 g)) (
33 ((pr2 -1 r3) (pr4 0 r2 va) (pr13 1 r1 v)) (minus (times (
eps r1 r2 v va) f11 g))) (32 ((pr13 -1 r1 v) (pr4 0 r2 va) (
pr2 1 r3)) (minus (times (eps r1 r2 v va) f11 g))) (31 ((
pr13 -1 r1 v) (pr13 1 r2 va) (pr19 0 r3)) (minus (times (eps
r1 r2 v va) f10 g))) (30 ((pr1 0 r3) (pr13 -1 r2 va) (pr15 1
r1 v)) (times (eps r1 r2 v va) f9 g i)) (29 ((pr15 -1 r1 v)
(pr13 1 r2 va) (pr1 0 r3)) (minus (times (eps r1 r2 v va) f9
g i))) (28 ((pr19 0 r3) (pr13 -1 r2 va) (pr15 1 r1 v)) (
minus (times (eps r1 r2 v va) f8 g))) (27 ((pr15 -1 r1 v) (
pr13 1 r2 va) (pr19 0 r3)) (minus (times (eps r1 r2 v va) f8
g))) (26 ((pr4 0 r1 v) (pr1 0 r2) (pr1 0 r3)) (times (cons 
r2 v) f7 g i)) (25 ((pr4 0 r1 v) (pr19 0 r2) (pr3 0 r3)) (
times (cons r2 v) f6 g i)) (24 ((pr1 0 r3) (pr2 -1 r2) (pr13
1 r1 v)) (minus (times (cons r2 v) f5 g))) (23 ((pr13 -1 r1
v) (pr2 1 r2) (pr1 0 r3)) (times (cons r2 v) f5 g)) (22 ((
pr2 -1 r3) (pr19 0 r2) (pr13 1 r1 v)) (times (cons r2 v) f4
g i)) (21 ((pr13 -1 r1 v) (pr19 0 r2) (pr2 1 r3)) (times (
cons r2 v) f4 g i)) (20 ((pr1 0 r3) (pr2 -1 r2) (pr15 1 r1 v
)) (minus (times (cons r2 v) f3 g))) (19 ((pr15 -1 r1 v) (
pr2 1 r2) (pr1 0 r3)) (times (cons r2 v) f3 g)) (18 ((pr2 -1
r3) (pr3 0 r2) (pr15 1 r1 v)) (times (cons r2 v) f2 g i)) (
17 ((pr15 -1 r1 v) (pr3 0 r2) (pr2 1 r3)) (times (cons r2 v)
f2 g i)) (16 ((pr2 -1 r3) (pr19 0 r2) (pr15 1 r1 v)) (times
(cons r2 v) f1 g i)) (15 ((pr15 -1 r1 v) (pr19 0 r2) (pr2 1
r3)) (times (cons r2 v) f1 g i)))$ 
vertices_add_comment:='"
In this model, We have added some effective 
vertices, to do some calculation related to some resonance states
"$ 
end; 
