n_particles:='3$ 
n_total_spin:='6$ 
http:='nil$ 
sub_model:='ok$ 
direct_model:='ok$ 
just_v_type:='nil$ 
nnvertex:='135$ 
pdl_add:='((pr1 0 p1m w1d 0 0 0 0 0 0 1 0 0 0) (pr2 0 p2m 
w2d 0 0 0 0 0 0 1 0 0 0) (pr3 2 p3m w3d 0 0 0 0 0 0 1 0 0 0)
(pr4 4 p4m w4d 0 0 0 0 0 0 1 0 0 0) (pr5 0 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 0 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 4 p13m w13d 0 0 0 0 0
0 1 0 0 0) (pr14 4 p14m w14d 0 0 0 0 0 0 1 0 0 0) (pr15 0 
p15m w15d 0 0 0 0 0 0 1 0 0 0) (pr16 8 p16m w16d 0 0 0 0 0 0
1 0 0 0) (pr17 0 p17m w17d 0 0 0 0 0 0 1 0 0 0) (pr18 4 p18m
w18d 0 0 0 0 0 0 1 0 0 0) (pr19 0 p19m w19d 0 0 0 0 0 0 1 0
0 0) (pr20 4 p20m w20d 0 0 0 0 0 0 1 0 0 0) (pr21 8 p21m 
w21d 0 0 0 0 0 0 1 0 0 0) (pr22 0 p22m w22d 0 0 0 0 0 0 1 0
0 0) (pr23 4 p23m w23d 0 0 0 0 0 0 1 0 0 0) (pr24 0 p24m 
w24d 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) (
pr20 0) (pr21 0) (pr22 0) (pr23 0) (pr24 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 p20m w20d p21m w21d p22m w22d p23m w23d p24m w24d)
$ 
platexname_add:='( 
      (pr1  "\eta") 
      (pr2  "\eta^{'}[958]") 
      (pr3  "\omega^h[1900]") 
      (pr4  "f_2[1270]") 
      (pr5  "f_0[1370]") 
      (pr6  "f_2[1430]") 
      (pr7  "f^{'}_2[1525]") 
      (pr8  "f_2[1565]") 
      (pr9  "f_2[1640]") 
      (pr10  "f_0[1710]") 
      (pr11  "f_2[1810]") 
      (pr12  "f_2[1910]") 
      (pr13  "f_2[1950]") 
      (pr14  "f_2[2010]") 
      (pr15  "f_0[2020]") 
      (pr16  "f_4[2050]") 
      (pr17  "f_0[2100]") 
      (pr18  "f_2[2150]") 
      (pr19  "f_0[2200]") 
      (pr20  "f_2[2300]") 
      (pr21  "f_4[2300]") 
      (pr22  "f_0[2330]") 
      (pr23  "f_2[2340]") 
      (pr24  "\eta_{c}[2980]") 
     )$ 
 
 
inputlist_add:='( 
      (p1m  0.5473) 
      (w1d  0.0001) 
      (p2m  0.95778) 
      (w2d  0.0002) 
      (p3m  1.9) 
      (w3d  0.15) 
      (p4m  1.275) 
      (w4d  0.1855) 
      (p5m  1.37) 
      (w5d  0.35) 
      (p6m  1.43) 
      (w6d  0.081) 
      (p7m  1.525) 
      (w7d  0.076) 
      (p8m  1.542) 
      (w8d  1.131) 
      (p9m  1.638) 
      (w9d  0.099) 
      (p10m  1.712) 
      (w10d  0.133) 
      (p11m  1.815) 
      (w11d  0.197) 
      (p12m  1.915) 
      (w12d  0.163) 
      (p13m  1.934) 
      (w13d  0.453) 
      (p14m  2.011) 
      (w14d  0.202) 
      (p15m  2.02) 
      (w15d  0.41) 
      (p16m  2.025) 
      (w16d  0.194) 
      (p17m  2.1) 
      (w17d  0.201) 
      (p18m  2.138) 
      (w18d  0.194) 
      (p19m  2.197) 
      (w19d  0.201) 
      (p20m  2.297) 
      (w20d  0.149) 
      (p21m  2.3) 
      (w21d  0.215) 
      (p22m  2.33) 
      (w22d  0.217) 
      (p23m  2.339) 
      (w23d  0.319) 
      (p24m  2.9792) 
      (w24d  0.013) 
     )$ 
 
pa_decay_list:='((pr4 (90 (pr1 pr1) 2)) (pr5 (38 (pr1 pr1) 2
)) (pr6 (87 (pr1 pr1) 2)) (pr7 (84 (pr1 pr1) 2) (83 (pr2 pr1
) 2)) (pr8 (80 (pr1 pr1) 2) (79 (pr2 pr1) 2)) (pr9 (76 (pr1
pr1) 2) (75 (pr2 pr1) 2)) (pr10 (37 (pr1 pr1) 2) (36 (pr2 
pr1) 2)) (pr11 (72 (pr1 pr1) 2) (71 (pr2 pr1) 2)) (pr3 (91 (
pr4 pr1) 2) (42 (pr1 pr1) 2) (41 (pr2 pr1) 2)) (pr12 (111 (
pr4 pr1) 2) (68 (pr1 pr1) 2) (67 (pr2 pr1) 2)) (pr13 (110 (
pr4 pr1) 2) (64 (pr1 pr1) 2) (63 (pr2 pr1) 2) (62 (pr2 pr2)
2)) (pr14 (109 (pr4 pr1) 2) (108 (pr6 pr1) 2) (59 (pr1 pr1)
2) (58 (pr2 pr1) 2) (57 (pr2 pr2) 2)) (pr15 (35 (pr1 pr1) 2)
(34 (pr2 pr1) 2) (33 (pr2 pr2) 2)) (pr16 (135 (pr4 pr1) 2) (
134 (pr6 pr1) 2) (127 (pr1 pr1) 2) (126 (pr2 pr1) 2) (125 (
pr2 pr2) 2)) (pr17 (32 (pr1 pr1) 2) (31 (pr2 pr1) 2) (30 (
pr2 pr2) 2)) (pr18 (107 (pr4 pr1) 2) (106 (pr6 pr1) 2) (105
(pr7 pr1) 2) (104 (pr8 pr1) 2) (54 (pr1 pr1) 2) (53 (pr2 pr1
) 2) (52 (pr2 pr2) 2)) (pr19 (29 (pr1 pr1) 2) (28 (pr2 pr1)
2) (27 (pr2 pr2) 2)) (pr20 (103 (pr4 pr1) 2) (102 (pr4 pr2)
2) (101 (pr6 pr1) 2) (100 (pr7 pr1) 2) (99 (pr8 pr1) 2) (98
(pr9 pr1) 2) (50 (pr1 pr1) 2) (49 (pr2 pr1) 2) (48 (pr2 pr2)
2)) (pr21 (133 (pr4 pr1) 2) (132 (pr4 pr2) 2) (131 (pr6 pr1)
2) (130 (pr7 pr1) 2) (129 (pr8 pr1) 2) (128 (pr9 pr1) 2) (
123 (pr1 pr1) 2) (122 (pr2 pr1) 2) (121 (pr2 pr2) 2)) (pr22
(26 (pr1 pr1) 2) (25 (pr2 pr1) 2) (24 (pr2 pr2) 2)) (pr23 (
97 (pr4 pr1) 2) (96 (pr4 pr2) 2) (95 (pr6 pr1) 2) (94 (pr7 
pr1) 2) (93 (pr8 pr1) 2) (92 (pr9 pr1) 2) (46 (pr1 pr1) 2) (
45 (pr2 pr1) 2) (44 (pr2 pr2) 2)) (pr24 (124 (pr16 pr1) 2) (
120 (pr21 pr1) 2) (119 (pr4 pr4) 2) (118 (pr6 pr4) 2) (117 (
pr6 pr6) 2) (116 (pr7 pr4) 2) (115 (pr7 pr6) 2) (114 (pr8 
pr4) 2) (113 (pr8 pr6) 2) (112 (pr9 pr4) 2) (89 (pr4 pr1) 2)
(88 (pr4 pr2) 2) (86 (pr6 pr1) 2) (85 (pr6 pr2) 2) (82 (pr7
pr1) 2) (81 (pr7 pr2) 2) (78 (pr8 pr1) 2) (77 (pr8 pr2) 2) (
74 (pr9 pr1) 2) (73 (pr9 pr2) 2) (70 (pr11 pr1) 2) (69 (pr11
pr2) 2) (66 (pr12 pr1) 2) (65 (pr12 pr2) 2) (61 (pr13 pr1) 2
) (60 (pr13 pr2) 2) (56 (pr14 pr1) 2) (55 (pr14 pr2) 2) (51
(pr18 pr1) 2) (47 (pr20 pr1) 2) (43 (pr23 pr1) 2) (40 (pr3 
pr1) 2) (39 (pr3 pr2) 2) (23 (pr5 pr1) 2) (22 (pr5 pr2) 2) (
21 (pr10 pr1) 2) (20 (pr10 pr2) 2) (19 (pr15 pr1) 2) (18 (
pr15 pr2) 2) (17 (pr17 pr1) 2) (16 (pr19 pr1) 2) (15 (pr22 
pr1) 2)))$ 
htionvvlist_add:='((135 ((pr16 0 r1 v va vb vc) (pr4 0 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) f157 g)) (minus
(times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v 
vd) f156 g)))) (134 ((pr16 0 r1 v va vb vc) (pr6 0 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) f155 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f154 g)))) (133 ((pr21 0 r1 v va vb vc) (pr4 0 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) f153 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f152 g)))) (132 ((pr21 0 r1 v va vb vc) (pr4 0 r2 vd vf) (
pr2 0 r3)) (plus (minus (times (cons r1 vf) (cons r2 va) (
cons r2 vb) (cons r2 vc) (eps r1 r2 v vd) f151 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f150 g)))) (131 ((pr21 0 r1 v va vb vc) (pr6 0 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) f149 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f148 g)))) (130 ((pr21 0 r1 v va vb vc) (pr7 0 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) f147 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f146 g)))) (129 ((pr21 0 r1 v va vb vc) (pr8 0 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) f145 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f144 g)))) (128 ((pr21 0 r1 v va vb vc) (pr9 0 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) f143 g)) (minus (
times (cons r2 va) (cons r2 vb) (cons vc vf) (eps r1 r2 v vd
) f142 g)))) (127 ((pr16 0 r1 v va vb vc) (pr1 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f141 g)) (126 ((pr16 0 r1 v va vb vc) (pr2 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f140 g)) (125 ((pr16 0 r1 v va vb vc) (pr2 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f139 g)) (124 ((pr16 0 r1 v va vb vc) (pr24 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f138 g)) (123 ((pr21 0 r1 v va vb vc) (pr1 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f137 g)) (122 ((pr21 0 r1 v va vb vc) (pr2 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f136 g)) (121 ((pr21 0 r1 v va vb vc) (pr2 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f135 g)) (120 ((pr21 0 r1 v va vb vc) (pr24 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 
vc) f134 g)) (119 ((pr4 0 r1 v va) (pr4 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f133 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f132 g)))) (118 ((pr6 0 r1 v va) (pr4 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f131 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f130 g)))) (117 ((pr6 0 r1 v va) (pr6 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f129 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f128 g)))) (116 ((pr7 0 r1 v va) (pr4 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f127 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f126 g)))) (115 ((pr7 0 r1 v va) (pr6 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f125 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f124 g)))) (114 ((pr8 0 r1 v va) (pr4 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f123 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f122 g)))) (113 ((pr8 0 r1 v va) (pr6 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f121 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f120 g)))) (112 ((pr9 0 r1 v va) (pr4 0 r2 vb vc) (pr24 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f119 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f118 g)))) (111 ((pr12 0 r1 v va) (pr4 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f117 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f116 g)))) (110 ((pr13 0 r1 v va) (pr4 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f115 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f114 g)))) (109 ((pr14 0 r1 v va) (pr4 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f113 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f112 g)))) (108 ((pr14 0 r1 v va) (pr6 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f111 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f110 g)))) (107 ((pr18 0 r1 v va) (pr4 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f109 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f108 g)))) (106 ((pr18 0 r1 v va) (pr6 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f107 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f106 g)))) (105 ((pr18 0 r1 v va) (pr7 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f105 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f104 g)))) (104 ((pr18 0 r1 v va) (pr8 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f103 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f102 g)))) (103 ((pr20 0 r1 v va) (pr4 0 r2 vb vc) (pr1 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f101 g)) (minus (times (cons va vc) (eps r1 r2 v vb
) f100 g)))) (102 ((pr20 0 r1 v va) (pr4 0 r2 vb vc) (pr2 0
r3)) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 
r2 v vb) f99 g)) (minus (times (cons va vc) (eps r1 r2 v vb)
f98 g)))) (101 ((pr20 0 r1 v va) (pr6 0 r2 vb vc) (pr1 0 r3)
) (plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v
vb) f97 g)) (minus (times (cons va vc) (eps r1 r2 v vb) f96
g)))) (100 ((pr20 0 r1 v va) (pr7 0 r2 vb vc) (pr1 0 r3)) (
plus (minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb
) f95 g)) (minus (times (cons va vc) (eps r1 r2 v vb) f94 g)
))) (99 ((pr20 0 r1 v va) (pr8 0 r2 vb vc) (pr1 0 r3)) (plus
(minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f93
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f92 g)))) (
98 ((pr20 0 r1 v va) (pr9 0 r2 vb vc) (pr1 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f91
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f90 g)))) (
97 ((pr23 0 r1 v va) (pr4 0 r2 vb vc) (pr1 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f89
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f88 g)))) (
96 ((pr23 0 r1 v va) (pr4 0 r2 vb vc) (pr2 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f87
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f86 g)))) (
95 ((pr23 0 r1 v va) (pr6 0 r2 vb vc) (pr1 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f85
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f84 g)))) (
94 ((pr23 0 r1 v va) (pr7 0 r2 vb vc) (pr1 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f83
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f82 g)))) (
93 ((pr23 0 r1 v va) (pr8 0 r2 vb vc) (pr1 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f81
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f80 g)))) (
92 ((pr23 0 r1 v va) (pr9 0 r2 vb vc) (pr1 0 r3)) (plus (
minus (times (cons r1 vc) (cons r2 va) (eps r1 r2 v vb) f79
g)) (minus (times (cons va vc) (eps r1 r2 v vb) f78 g)))) (
91 ((pr4 0 r1 v va) (pr3 0 r2 vb) (pr1 0 r3)) (minus (times
(cons r2 va) (eps r1 r2 v vb) f77 g i))) (90 ((pr4 0 r1 v va
) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f76
g)) (89 ((pr4 0 r1 v va) (pr24 0 r2) (pr1 0 r3)) (times (
cons r2 v) (cons r2 va) f75 g)) (88 ((pr4 0 r1 v va) (pr24 0
r2) (pr2 0 r3)) (times (cons r2 v) (cons r2 va) f74 g)) (87
((pr6 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (
cons r2 va) f73 g)) (86 ((pr6 0 r1 v va) (pr24 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) f72 g)) (85 ((pr6 0 r1
v va) (pr24 0 r2) (pr2 0 r3)) (times (cons r2 v) (cons r2 va
) f71 g)) (84 ((pr7 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (times
(cons r2 v) (cons r2 va) f70 g)) (83 ((pr7 0 r1 v va) (pr2 0
r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f69 g)) (82
((pr7 0 r1 v va) (pr24 0 r2) (pr1 0 r3)) (times (cons r2 v)
(cons r2 va) f68 g)) (81 ((pr7 0 r1 v va) (pr24 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) f67 g)) (80 ((pr8 0 r1
v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va)
f66 g)) (79 ((pr8 0 r1 v va) (pr2 0 r2) (pr1 0 r3)) (times (
cons r2 v) (cons r2 va) f65 g)) (78 ((pr8 0 r1 v va) (pr24 0
r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f64 g)) (77
((pr8 0 r1 v va) (pr24 0 r2) (pr2 0 r3)) (times (cons r2 v)
(cons r2 va) f63 g)) (76 ((pr9 0 r1 v va) (pr1 0 r2) (pr1 0
r3)) (times (cons r2 v) (cons r2 va) f62 g)) (75 ((pr9 0 r1
v va) (pr2 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va)
f61 g)) (74 ((pr9 0 r1 v va) (pr24 0 r2) (pr1 0 r3)) (times
(cons r2 v) (cons r2 va) f60 g)) (73 ((pr9 0 r1 v va) (pr24
0 r2) (pr2 0 r3)) (times (cons r2 v) (cons r2 va) f59 g)) (
72 ((pr11 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2
v) (cons r2 va) f58 g)) (71 ((pr11 0 r1 v va) (pr2 0 r2) (
pr1 0 r3)) (times (cons r2 v) (cons r2 va) f57 g)) (70 ((
pr11 0 r1 v va) (pr24 0 r2) (pr1 0 r3)) (times (cons r2 v) (
cons r2 va) f56 g)) (69 ((pr11 0 r1 v va) (pr24 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) f55 g)) (68 ((pr12 0 r1
v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va)
f54 g)) (67 ((pr12 0 r1 v va) (pr2 0 r2) (pr1 0 r3)) (times
(cons r2 v) (cons r2 va) f53 g)) (66 ((pr12 0 r1 v va) (pr24
0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f52 g)) (
65 ((pr12 0 r1 v va) (pr24 0 r2) (pr2 0 r3)) (times (cons r2
v) (cons r2 va) f51 g)) (64 ((pr13 0 r1 v va) (pr1 0 r2) (
pr1 0 r3)) (times (cons r2 v) (cons r2 va) f50 g)) (63 ((
pr13 0 r1 v va) (pr2 0 r2) (pr1 0 r3)) (times (cons r2 v) (
cons r2 va) f49 g)) (62 ((pr13 0 r1 v va) (pr2 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) f48 g)) (61 ((pr13 0 r1
v va) (pr24 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va
) f47 g)) (60 ((pr13 0 r1 v va) (pr24 0 r2) (pr2 0 r3)) (
times (cons r2 v) (cons r2 va) f46 g)) (59 ((pr14 0 r1 v va)
(pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f45 g
)) (58 ((pr14 0 r1 v va) (pr2 0 r2) (pr1 0 r3)) (times (cons
r2 v) (cons r2 va) f44 g)) (57 ((pr14 0 r1 v va) (pr2 0 r2)
(pr2 0 r3)) (times (cons r2 v) (cons r2 va) f43 g)) (56 ((
pr14 0 r1 v va) (pr24 0 r2) (pr1 0 r3)) (times (cons r2 v) (
cons r2 va) f42 g)) (55 ((pr14 0 r1 v va) (pr24 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) f41 g)) (54 ((pr18 0 r1
v va) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va)
f40 g)) (53 ((pr18 0 r1 v va) (pr2 0 r2) (pr1 0 r3)) (times
(cons r2 v) (cons r2 va) f39 g)) (52 ((pr18 0 r1 v va) (pr2
0 r2) (pr2 0 r3)) (times (cons r2 v) (cons r2 va) f38 g)) (
51 ((pr18 0 r1 v va) (pr24 0 r2) (pr1 0 r3)) (times (cons r2
v) (cons r2 va) f37 g)) (50 ((pr20 0 r1 v va) (pr1 0 r2) (
pr1 0 r3)) (times (cons r2 v) (cons r2 va) f36 g)) (49 ((
pr20 0 r1 v va) (pr2 0 r2) (pr1 0 r3)) (times (cons r2 v) (
cons r2 va) f35 g)) (48 ((pr20 0 r1 v va) (pr2 0 r2) (pr2 0
r3)) (times (cons r2 v) (cons r2 va) f34 g)) (47 ((pr20 0 r1
v va) (pr24 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va
) f33 g)) (46 ((pr23 0 r1 v va) (pr1 0 r2) (pr1 0 r3)) (
times (cons r2 v) (cons r2 va) f32 g)) (45 ((pr23 0 r1 v va)
(pr2 0 r2) (pr1 0 r3)) (times (cons r2 v) (cons r2 va) f31 g
)) (44 ((pr23 0 r1 v va) (pr2 0 r2) (pr2 0 r3)) (times (cons
r2 v) (cons r2 va) f30 g)) (43 ((pr23 0 r1 v va) (pr24 0 r2)
(pr1 0 r3)) (times (cons r2 v) (cons r2 va) f29 g)) (42 ((
pr3 0 r1 v) (pr1 0 r2) (pr1 0 r3)) (times (cons r2 v) f28 g
i)) (41 ((pr3 0 r1 v) (pr2 0 r2) (pr1 0 r3)) (times (cons r2
v) f27 g i)) (40 ((pr3 0 r1 v) (pr24 0 r2) (pr1 0 r3)) (
times (cons r2 v) f26 g i)) (39 ((pr3 0 r1 v) (pr24 0 r2) (
pr2 0 r3)) (times (cons r2 v) f25 g i)) (38 ((pr5 0 r1) (pr1
0 r2) (pr1 0 r3)) (times f24 g)) (37 ((pr10 0 r1) (pr1 0 r2)
(pr1 0 r3)) (times f23 g)) (36 ((pr10 0 r1) (pr2 0 r2) (pr1
0 r3)) (times f22 g)) (35 ((pr15 0 r1) (pr1 0 r2) (pr1 0 r3)
) (times f21 g)) (34 ((pr15 0 r1) (pr2 0 r2) (pr1 0 r3)) (
times f20 g)) (33 ((pr15 0 r1) (pr2 0 r2) (pr2 0 r3)) (times
f19 g)) (32 ((pr17 0 r1) (pr1 0 r2) (pr1 0 r3)) (times f18 g
)) (31 ((pr17 0 r1) (pr2 0 r2) (pr1 0 r3)) (times f17 g)) (
30 ((pr17 0 r1) (pr2 0 r2) (pr2 0 r3)) (times f16 g)) (29 ((
pr19 0 r1) (pr1 0 r2) (pr1 0 r3)) (times f15 g)) (28 ((pr19
0 r1) (pr2 0 r2) (pr1 0 r3)) (times f14 g)) (27 ((pr19 0 r1)
(pr2 0 r2) (pr2 0 r3)) (times f13 g)) (26 ((pr22 0 r1) (pr1
0 r2) (pr1 0 r3)) (times f12 g)) (25 ((pr22 0 r1) (pr2 0 r2)
(pr1 0 r3)) (times f11 g)) (24 ((pr22 0 r1) (pr2 0 r2) (pr2
0 r3)) (times f10 g)) (23 ((pr24 0 r1) (pr5 0 r2) (pr1 0 r3)
) (times f9 g)) (22 ((pr24 0 r1) (pr5 0 r2) (pr2 0 r3)) (
times f8 g)) (21 ((pr24 0 r1) (pr10 0 r2) (pr1 0 r3)) (times
f7 g)) (20 ((pr24 0 r1) (pr10 0 r2) (pr2 0 r3)) (times f6 g)
) (19 ((pr24 0 r1) (pr15 0 r2) (pr1 0 r3)) (times f5 g)) (18
((pr24 0 r1) (pr15 0 r2) (pr2 0 r3)) (times f4 g)) (17 ((
pr24 0 r1) (pr17 0 r2) (pr1 0 r3)) (times f3 g)) (16 ((pr24
0 r1) (pr19 0 r2) (pr1 0 r3)) (times f2 g)) (15 ((pr24 0 r1)
(pr22 0 r2) (pr1 0 r3)) (times f1 g)))$ 
vertices_add_comment:='"
In this model, We have added some effective 
vertices, to do some calculation related to some resonance states
"$ 
end; 
