n_particles:='3$ 
n_total_spin:='6$ 
http:='nil$ 
sub_model:='ok$ 
direct_model:='ok$ 
just_v_type:='nil$ 
nnvertex:='524$ 
pdl_add:='((pr1 0 p1m w1d 3 1 0 0 0 0 1 0 0 0) (pr2 1 p2m 
w2d 3 1 0 0 0 0 1 0 1 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 0 p5m w5d 0 0 0 0 0
0 1 0 0 0) (pr6 2 p6m w6d 0 0 0 0 0 0 1 0 0 0) (pr7 6 p7m 
w7d 0 0 0 0 0 0 1 0 0 0) (pr8 2 p8m w8d 0 0 0 0 0 0 1 0 0 0)
(pr9 0 p9m w9d 0 0 0 0 0 0 1 0 0 0) (pr10 12 p10m w10d 3 1 0
0 0 0 1 0 0 0) (pr11 0 p11m w11d 0 0 0 0 0 0 1 0 0 0) (pr12
1 p12m w12d 3 1 0 0 0 0 1 0 1 0) (pr13 3 p13m w13d 3 1 0 0 0
0 1 0 1 0) (pr14 1 p14m w14d 3 1 0 0 0 0 1 0 1 0) (pr15 1 
p15m w15d 3 1 0 0 0 0 1 0 1 0) (pr16 5 p16m w16d 3 1 0 0 0 0
1 0 1 0) (pr17 5 p17m w17d 3 1 0 0 0 0 1 0 1 0) (pr18 3 p18m
w18d 3 1 0 0 0 0 1 0 1 0) (pr19 1 p19m w19d 3 1 0 0 0 0 1 0
1 0) (pr20 3 p20m w20d 3 1 0 0 0 0 1 0 1 0) (pr21 3 p21m 
w21d 3 1 0 0 0 0 1 0 1 0) (pr22 7 p22m w22d 3 1 0 0 0 0 1 0
1 0) (pr23 5 p23m w23d 3 1 0 0 0 0 1 0 1 0) (pr24 3 p24m 
w24d 6 1 0 0 0 0 1 0 1 0) (pr25 3 p25m w25d 0 1 0 0 0 0 1 0
1 0) (pr26 3 p26m w26d 6 1 0 0 0 0 1 0 1 0) (pr27 3 p27m 
w27d 3 1 0 0 0 0 1 0 1 0) (pr28 3 p28m w28d 0 1 0 0 0 0 1 0
1 0) (pr29 1 p29m w29d 6 1 0 0 0 0 1 0 1 0) (pr30 1 p30m 
w30d 3 1 0 0 0 0 1 0 1 0) (pr31 1 p31m w31d 0 1 0 0 0 0 1 0
1 0) (pr32 3 p32m w32d 6 1 0 0 0 0 1 0 1 0) (pr33 3 p33m 
w33d 3 1 0 0 0 0 1 0 1 0) (pr34 3 p34m w34d 0 1 0 0 0 0 1 0
1 0) (pr35 1 p35m w35d 6 1 0 0 0 0 1 0 1 0) (pr36 1 p36m 
w36d 3 1 0 0 0 0 1 0 1 0) (pr37 1 p37m w37d 0 1 0 0 0 0 1 0
1 0) (pr38 1 p38m w38d 3 1 0 0 0 0 1 0 1 0) (pr39 5 p39m 
w39d 3 1 0 0 0 0 1 0 1 0) (pr40 1 p40m w40d 3 1 0 0 0 0 1 0
1 0) (pr41 3 p41m w41d 3 1 0 0 0 0 1 0 1 0) (pr42 5 p42m 
w42d 3 1 0 0 0 0 1 0 1 0) (pr43 3 p43m w43d 3 1 0 0 0 0 1 0
1 0) (pr44 7 p44m w44d 3 1 0 0 0 0 1 0 1 0) (pr45 5 p45m 
w45d 3 1 0 0 0 0 1 0 1 0))$ 
spflist_add:='(list)$ 
v_t_list:='nil$ 
chargelist:='((pr1 1) (pr2 1) (pr3 0) (pr4 0) (pr5 0) (pr6 0
) (pr7 0) (pr8 0) (pr9 0) (pr10 1) (pr11 0) (pr12 1) (pr13 1
) (pr14 1) (pr15 1) (pr16 1) (pr17 1) (pr18 1) (pr19 1) (
pr20 1) (pr21 1) (pr22 1) (pr23 1) (pr24 2) (pr25 0) (pr26 2
) (pr27 1) (pr28 0) (pr29 2) (pr30 1) (pr31 0) (pr32 2) (
pr33 1) (pr34 0) (pr35 2) (pr36 1) (pr37 0) (pr38 1) (pr39 1
) (pr40 1) (pr41 1) (pr42 1) (pr43 1) (pr44 1) (pr45 1) (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
p25m w25d p26m w26d p27m w27d p28m w28d p29m w29d p30m w30d
p31m w31d p32m w32d p33m w33d p34m w34d p35m w35d p36m w36d
p37m w37d p38m w38d p39m w39d p40m w40d p41m w41d p42m w42d
p43m w43d p44m w44d p45m w45d)$ 
platexname_add:='( 
      (pr1  "\pi") 
      (pr2  "P") 
      (pr3  "f_0[600]") 
      (pr4  "\rho[770]^0") 
      (pr5  "f_0[980]") 
      (pr6  "\rho[1900]^0") 
      (pr7  "\rho_3[1990]^0") 
      (pr8  "\rho[2150]^0") 
      (pr9  "\eta[2225]") 
      (pr10  "a_6[2450]") 
      (pr11  "\eta_{c}[2980]") 
      (pr12  "N[1440]") 
      (pr13  "N[1520]") 
      (pr14  "N[1535]") 
      (pr15  "N[1650]") 
      (pr16  "N[1675]") 
      (pr17  "N[1680]") 
      (pr18  "N[1700]") 
      (pr19  "N[1710]") 
      (pr20  "N[1720]") 
      (pr21  "N[1900]") 
      (pr22  "N[1990]") 
      (pr23  "N[2000]") 
      (pr24  "\Delta[1232][+2]") 
      (pr25  "\Delta[1232][0] ") 
      (pr26  "\Delta[1600][+2]") 
      (pr27  "\Delta[1600][+1]") 
      (pr28  "\Delta[1600][0] ") 
      (pr29  "\Delta[1620][+2]") 
      (pr30  "\Delta[1620][+1]") 
      (pr31  "\Delta[1620][0] ") 
      (pr32  "\Delta[1700][+2]") 
      (pr33  "\Delta[1700][+1]") 
      (pr34  "\Delta[1700][0] ") 
      (pr35  "\Delta[1750][+2]") 
      (pr36  "\Delta[1750][+1]") 
      (pr37  "\Delta[1750][0] ") 
      (pr38  "\Delta[1900][+1]") 
      (pr39  "\Delta[1905][+1]") 
      (pr40  "\Delta[1910][+1]") 
      (pr41  "\Delta[1920][+1]") 
      (pr42  "\Delta[1930][+1]") 
      (pr43  "\Delta[1940][+1]") 
      (pr44  "\Delta[1950][+1]") 
      (pr45  "\Delta[2000][+1]") 
     )$ 
 
 
inputlist_add:='( 
      (p1m  0.13957) 
      (w1d  0.0001) 
      (p2m  0.93827) 
      (w2d  0.0001) 
      (p3m  0.6) 
      (w3d  0.6) 
      (p4m  0.769) 
      (w4d  0.1507) 
      (p5m  0.98) 
      (w5d  0.07) 
      (p6m  1.91) 
      (w6d  0.145) 
      (p7m  1.99) 
      (w7d  0.18) 
      (p8m  2.149) 
      (w8d  0.363) 
      (p9m  2.225) 
      (w9d  0.15) 
      (p10m  2.45) 
      (w10d  0.4) 
      (p11m  2.9792) 
      (w11d  0.013) 
      (p12m  1.44) 
      (w12d  0.35) 
      (p13m  1.52) 
      (w13d  0.12) 
      (p14m  1.535) 
      (w14d  0.15) 
      (p15m  1.65) 
      (w15d  0.15) 
      (p16m  1.67) 
      (w16d  0.14) 
      (p17m  1.68) 
      (w17d  0.13) 
      (p18m  1.7) 
      (w18d  0.1) 
      (p19m  1.71) 
      (w19d  0.1) 
      (p20m  1.72) 
      (w20d  0.15) 
      (p21m  1.9) 
      (w21d  0.498) 
      (p22m  1.99) 
      (w22d  0.38) 
      (p23m  2) 
      (w23d  0.3) 
      (p24m  1.232) 
      (w24d  0.12) 
      (p25m  1.232) 
      (w25d  0.12) 
      (p26m  1.6) 
      (w26d  0.35) 
      (p27m  1.6) 
      (w27d  0.35) 
      (p28m  1.6) 
      (w28d  0.35) 
      (p29m  1.62) 
      (w29d  0.15) 
      (p30m  1.62) 
      (w30d  0.15) 
      (p31m  1.62) 
      (w31d  0.15) 
      (p32m  1.7) 
      (w32d  0.3) 
      (p33m  1.7) 
      (w33d  0.3) 
      (p34m  1.7) 
      (w34d  0.3) 
      (p35m  1.75) 
      (w35d  0.3) 
      (p36m  1.75) 
      (w36d  0.3) 
      (p37m  1.75) 
      (w37d  0.3) 
      (p38m  1.9) 
      (w38d  0.2) 
      (p39m  1.905) 
      (w39d  0.35) 
      (p40m  1.91) 
      (w40d  0.25) 
      (p41m  1.92) 
      (w41d  0.2) 
      (p42m  1.93) 
      (w42d  0.35) 
      (p43m  1.94) 
      (w43d  0.33) 
      (p44m  1.95) 
      (w44d  0.3) 
      (p45m  2) 
      (w45d  0.325) 
     )$ 
 
pa_decay_list:='((pr3 (17 (pr1 pr1) 2)) (pr4 (20 (pr1 pr1) 2
)) (pr5 (16 (pr1 pr1) 2)) (pr24 (225 (pr2 pr1) 2) (224 (pr2
pr1) 1)) (pr25 (205 (pr2 pr1) 2) (204 (pr2 pr1) 1)) (pr12 (
223 (pr24 pr1) 1) (222 (pr24 pr1) 2) (203 (pr25 pr1) 1) (202
(pr25 pr1) 2)) (pr13 (395 (pr24 pr1) 1) (394 (pr24 pr1) 2) (
386 (pr25 pr1) 1) (385 (pr25 pr1) 2)) (pr14 (221 (pr24 pr1)
1) (220 (pr24 pr1) 2) (201 (pr25 pr1) 1) (200 (pr25 pr1) 2))
(pr26 (185 (pr2 pr1) 2) (184 (pr2 pr1) 1) (183 (pr12 pr1) 2)
(182 (pr12 pr1) 1)) (pr27 (373 (pr24 pr1) 2) (372 (pr24 pr1)
1) (371 (pr25 pr1) 2) (370 (pr25 pr1) 1) (175 (pr2 pr3) 2) (
174 (pr2 pr3) 1)) (pr28 (167 (pr2 pr1) 2) (166 (pr2 pr1) 1)
(165 (pr12 pr1) 2) (164 (pr12 pr1) 1)) (pr29 (88 (pr2 pr1) 2
) (87 (pr2 pr1) 1) (86 (pr12 pr1) 2) (85 (pr12 pr1) 1)) (
pr30 (213 (pr24 pr1) 1) (212 (pr24 pr1) 2) (195 (pr25 pr1) 1
) (194 (pr25 pr1) 2) (84 (pr2 pr3) 2) (83 (pr2 pr3) 1)) (
pr31 (80 (pr2 pr1) 2) (79 (pr2 pr1) 1) (78 (pr12 pr1) 2) (77
(pr12 pr1) 1)) (pr15 (219 (pr24 pr1) 1) (218 (pr24 pr1) 2) (
199 (pr25 pr1) 1) (198 (pr25 pr1) 2) (96 (pr2 pr3) 2) (95 (
pr2 pr3) 1)) (pr16 (487 (pr24 pr1) 2) (486 (pr24 pr1) 1) (
485 (pr25 pr1) 2) (484 (pr25 pr1) 1) (325 (pr2 pr3) 2) (324
(pr2 pr3) 1)) (pr17 (483 (pr24 pr1) 2) (482 (pr24 pr1) 1) (
481 (pr25 pr1) 2) (480 (pr25 pr1) 1) (321 (pr2 pr3) 2) (320
(pr2 pr3) 1)) (pr18 (393 (pr24 pr1) 1) (392 (pr24 pr1) 2) (
384 (pr25 pr1) 1) (383 (pr25 pr1) 2) (245 (pr2 pr3) 2) (244
(pr2 pr3) 1)) (pr32 (365 (pr13 pr1) 2) (364 (pr13 pr1) 1) (
157 (pr2 pr1) 2) (156 (pr2 pr1) 1) (155 (pr12 pr1) 2) (154 (
pr12 pr1) 1) (153 (pr14 pr1) 2) (152 (pr14 pr1) 1)) (pr33 (
359 (pr24 pr1) 2) (358 (pr24 pr1) 1) (357 (pr25 pr1) 2) (356
(pr25 pr1) 1) (147 (pr2 pr3) 2) (146 (pr2 pr3) 1)) (pr34 (
355 (pr13 pr1) 2) (354 (pr13 pr1) 1) (143 (pr2 pr1) 2) (142
(pr2 pr1) 1) (141 (pr12 pr1) 2) (140 (pr12 pr1) 1) (139 (
pr14 pr1) 2) (138 (pr14 pr1) 1)) (pr19 (261 (pr2 pr4) 2) (
260 (pr2 pr4) 1) (217 (pr24 pr1) 1) (216 (pr24 pr1) 2) (197
(pr25 pr1) 1) (196 (pr25 pr1) 2) (92 (pr2 pr3) 2) (91 (pr2 
pr3) 1)) (pr20 (403 (pr2 pr4) 2) (402 (pr2 pr4) 1) (391 (
pr24 pr1) 1) (390 (pr24 pr1) 2) (382 (pr25 pr1) 1) (381 (
pr25 pr1) 2) (241 (pr2 pr3) 2) (240 (pr2 pr3) 1)) (pr35 (249
(pr13 pr1) 1) (248 (pr13 pr1) 2) (171 (pr27 pr1) 1) (170 (
pr27 pr1) 2) (76 (pr2 pr1) 2) (75 (pr2 pr1) 1) (74 (pr12 pr1
) 2) (73 (pr12 pr1) 1) (72 (pr14 pr1) 2) (71 (pr14 pr1) 1))
(pr36 (259 (pr2 pr4) 2) (258 (pr2 pr4) 1) (211 (pr24 pr1) 1)
(210 (pr24 pr1) 2) (191 (pr25 pr1) 1) (190 (pr25 pr1) 2) (
181 (pr26 pr1) 1) (180 (pr26 pr1) 2) (163 (pr28 pr1) 1) (162
(pr28 pr1) 2) (70 (pr2 pr3) 2) (69 (pr2 pr3) 1)) (pr37 (247
(pr13 pr1) 1) (246 (pr13 pr1) 2) (169 (pr27 pr1) 1) (168 (
pr27 pr1) 2) (66 (pr2 pr1) 2) (65 (pr2 pr1) 1) (64 (pr12 pr1
) 2) (63 (pr12 pr1) 1) (62 (pr14 pr1) 2) (61 (pr14 pr1) 1))
(pr21 (401 (pr2 pr4) 2) (400 (pr2 pr4) 1) (389 (pr24 pr1) 1)
(388 (pr24 pr1) 2) (380 (pr25 pr1) 1) (379 (pr25 pr1) 2) (
377 (pr26 pr1) 1) (376 (pr26 pr1) 2) (369 (pr28 pr1) 1) (368
(pr28 pr1) 2) (363 (pr32 pr1) 1) (362 (pr32 pr1) 2) (353 (
pr34 pr1) 1) (352 (pr34 pr1) 2) (237 (pr2 pr3) 2) (236 (pr2
pr3) 1) (233 (pr29 pr1) 2) (232 (pr29 pr1) 1) (231 (pr31 pr1
) 2) (230 (pr31 pr1) 1) (229 (pr35 pr1) 2) (228 (pr35 pr1) 1
) (227 (pr37 pr1) 2) (226 (pr37 pr1) 1)) (pr38 (257 (pr2 pr4
) 2) (256 (pr2 pr4) 1) (209 (pr24 pr1) 1) (208 (pr24 pr1) 2)
(189 (pr25 pr1) 1) (188 (pr25 pr1) 2) (179 (pr26 pr1) 1) (
178 (pr26 pr1) 2) (161 (pr28 pr1) 1) (160 (pr28 pr1) 2) (151
(pr32 pr1) 1) (150 (pr32 pr1) 2) (137 (pr34 pr1) 1) (136 (
pr34 pr1) 2) (60 (pr2 pr3) 2) (59 (pr2 pr3) 1) (56 (pr29 pr1
) 2) (55 (pr29 pr1) 1) (54 (pr31 pr1) 2) (53 (pr31 pr1) 1) (
52 (pr35 pr1) 2) (51 (pr35 pr1) 1) (50 (pr37 pr1) 2) (49 (
pr37 pr1) 1)) (pr39 (493 (pr2 pr4) 2) (492 (pr2 pr4) 1) (467
(pr24 pr1) 2) (466 (pr24 pr1) 1) (465 (pr25 pr1) 2) (464 (
pr25 pr1) 1) (463 (pr26 pr1) 2) (462 (pr26 pr1) 1) (461 (
pr28 pr1) 2) (460 (pr28 pr1) 1) (459 (pr32 pr1) 2) (458 (
pr32 pr1) 1) (457 (pr34 pr1) 2) (456 (pr34 pr1) 1) (303 (pr2
pr3) 2) (302 (pr2 pr3) 1) (299 (pr29 pr1) 2) (298 (pr29 pr1)
1) (297 (pr31 pr1) 2) (296 (pr31 pr1) 1) (295 (pr35 pr1) 2)
(294 (pr35 pr1) 1) (293 (pr37 pr1) 2) (292 (pr37 pr1) 1)) (
pr6 (263 (pr2 pr2) 2) (26 (pr4 pr3) 2) (25 (pr4 pr5) 2) (19
(pr1 pr1) 2)) (pr40 (255 (pr2 pr4) 2) (254 (pr2 pr4) 1) (207
(pr24 pr1) 1) (206 (pr24 pr1) 2) (187 (pr25 pr1) 1) (186 (
pr25 pr1) 2) (177 (pr26 pr1) 1) (176 (pr26 pr1) 2) (159 (
pr28 pr1) 1) (158 (pr28 pr1) 2) (149 (pr32 pr1) 1) (148 (
pr32 pr1) 2) (135 (pr34 pr1) 1) (134 (pr34 pr1) 2) (48 (pr2
pr3) 2) (47 (pr2 pr3) 1) (44 (pr29 pr1) 2) (43 (pr29 pr1) 1)
(42 (pr31 pr1) 2) (41 (pr31 pr1) 1) (40 (pr35 pr1) 2) (39 (
pr35 pr1) 1) (38 (pr37 pr1) 2) (37 (pr37 pr1) 1)) (pr41 (399
(pr2 pr4) 2) (398 (pr2 pr4) 1) (349 (pr24 pr1) 2) (348 (pr24
pr1) 1) (347 (pr25 pr1) 2) (346 (pr25 pr1) 1) (345 (pr26 pr1
) 2) (344 (pr26 pr1) 1) (343 (pr28 pr1) 2) (342 (pr28 pr1) 1
) (341 (pr32 pr1) 2) (340 (pr32 pr1) 1) (339 (pr34 pr1) 2) (
338 (pr34 pr1) 1) (133 (pr2 pr3) 2) (132 (pr2 pr3) 1) (131 (
pr2 pr5) 2) (130 (pr2 pr5) 1) (127 (pr29 pr1) 2) (126 (pr29
pr1) 1) (125 (pr31 pr1) 2) (124 (pr31 pr1) 1) (123 (pr35 pr1
) 2) (122 (pr35 pr1) 1) (121 (pr37 pr1) 2) (120 (pr37 pr1) 1
)) (pr42 (491 (pr2 pr4) 2) (490 (pr2 pr4) 1) (455 (pr24 pr1)
2) (454 (pr24 pr1) 1) (453 (pr25 pr1) 2) (452 (pr25 pr1) 1)
(451 (pr26 pr1) 2) (450 (pr26 pr1) 1) (449 (pr28 pr1) 2) (
448 (pr28 pr1) 1) (447 (pr32 pr1) 2) (446 (pr32 pr1) 1) (445
(pr34 pr1) 2) (444 (pr34 pr1) 1) (291 (pr2 pr3) 2) (290 (pr2
pr3) 1) (289 (pr2 pr5) 2) (288 (pr2 pr5) 1) (285 (pr29 pr1)
2) (284 (pr29 pr1) 1) (283 (pr31 pr1) 2) (282 (pr31 pr1) 1)
(281 (pr35 pr1) 2) (280 (pr35 pr1) 1) (279 (pr37 pr1) 2) (
278 (pr37 pr1) 1)) (pr43 (397 (pr2 pr4) 2) (396 (pr2 pr4) 1)
(337 (pr24 pr1) 2) (336 (pr24 pr1) 1) (335 (pr25 pr1) 2) (
334 (pr25 pr1) 1) (333 (pr26 pr1) 2) (332 (pr26 pr1) 1) (331
(pr28 pr1) 2) (330 (pr28 pr1) 1) (329 (pr32 pr1) 2) (328 (
pr32 pr1) 1) (327 (pr34 pr1) 2) (326 (pr34 pr1) 1) (119 (pr2
pr3) 2) (118 (pr2 pr3) 1) (117 (pr2 pr5) 2) (116 (pr2 pr5) 1
) (113 (pr29 pr1) 2) (112 (pr29 pr1) 1) (111 (pr31 pr1) 2) (
110 (pr31 pr1) 1) (109 (pr35 pr1) 2) (108 (pr35 pr1) 1) (107
(pr37 pr1) 2) (106 (pr37 pr1) 1)) (pr44 (522 (pr2 pr4) 2) (
521 (pr2 pr4) 1) (508 (pr24 pr1) 2) (507 (pr24 pr1) 1) (506
(pr25 pr1) 2) (505 (pr25 pr1) 1) (504 (pr26 pr1) 2) (503 (
pr26 pr1) 1) (502 (pr28 pr1) 2) (501 (pr28 pr1) 1) (500 (
pr32 pr1) 2) (499 (pr32 pr1) 1) (498 (pr34 pr1) 2) (497 (
pr34 pr1) 1) (417 (pr2 pr3) 2) (416 (pr2 pr3) 1) (415 (pr2 
pr5) 2) (414 (pr2 pr5) 1) (411 (pr29 pr1) 2) (410 (pr29 pr1)
1) (409 (pr31 pr1) 2) (408 (pr31 pr1) 1) (407 (pr35 pr1) 2)
(406 (pr35 pr1) 1) (405 (pr37 pr1) 2) (404 (pr37 pr1) 1)) (
pr7 (496 (pr2 pr2) 2) (32 (pr4 pr3) 2) (31 (pr4 pr5) 2) (29
(pr1 pr1) 2)) (pr22 (524 (pr2 pr4) 2) (523 (pr2 pr4) 1) (520
(pr24 pr1) 2) (519 (pr24 pr1) 1) (518 (pr25 pr1) 2) (517 (
pr25 pr1) 1) (516 (pr26 pr1) 2) (515 (pr26 pr1) 1) (514 (
pr28 pr1) 2) (513 (pr28 pr1) 1) (512 (pr32 pr1) 2) (511 (
pr32 pr1) 1) (510 (pr34 pr1) 2) (509 (pr34 pr1) 1) (431 (pr2
pr3) 2) (430 (pr2 pr3) 1) (429 (pr2 pr5) 2) (428 (pr2 pr5) 1
) (425 (pr29 pr1) 2) (424 (pr29 pr1) 1) (423 (pr31 pr1) 2) (
422 (pr31 pr1) 1) (421 (pr35 pr1) 2) (420 (pr35 pr1) 1) (419
(pr37 pr1) 2) (418 (pr37 pr1) 1)) (pr23 (495 (pr2 pr4) 2) (
494 (pr2 pr4) 1) (479 (pr24 pr1) 2) (478 (pr24 pr1) 1) (477
(pr25 pr1) 2) (476 (pr25 pr1) 1) (475 (pr26 pr1) 2) (474 (
pr26 pr1) 1) (473 (pr28 pr1) 2) (472 (pr28 pr1) 1) (471 (
pr32 pr1) 2) (470 (pr32 pr1) 1) (469 (pr34 pr1) 2) (468 (
pr34 pr1) 1) (317 (pr2 pr3) 2) (316 (pr2 pr3) 1) (315 (pr2 
pr5) 2) (314 (pr2 pr5) 1) (311 (pr29 pr1) 2) (310 (pr29 pr1)
1) (309 (pr31 pr1) 2) (308 (pr31 pr1) 1) (307 (pr35 pr1) 2)
(306 (pr35 pr1) 1) (305 (pr37 pr1) 2) (304 (pr37 pr1) 1)) (
pr45 (489 (pr2 pr4) 2) (488 (pr2 pr4) 1) (443 (pr24 pr1) 2)
(442 (pr24 pr1) 1) (441 (pr25 pr1) 2) (440 (pr25 pr1) 1) (
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r2) (pr27 1 r1 v)) (times (cons r2 v) f96 g i)) (172 ((pr27
-1 r1 v) (pr2 1 r2) (pr11 0 r3)) (times (cons r2 v) f96 g i)
) (171 ((pr1 1 r3) (pr35 -1 r2) (pr27 1 r1 v)) (times (cons
r2 v) f95 g i)) (170 ((pr27 -1 r1 v) (pr35 1 r2) (pr1 -1 r3)
) (times (cons r2 v) f95 g i)) (169 ((pr1 -1 r3) (pr37 -1 r2
) (pr27 1 r1 v)) (times (cons r2 v) f94 g i)) (168 ((pr27 -1
r1 v) (pr37 1 r2) (pr1 1 r3)) (times (cons r2 v) f94 g i)) (
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times (cons r2 v) f93 g i)) (165 ((pr1 1 r3) (pr12 -1 r2) (
pr28 1 r1 v)) (times (cons r2 v) f92 g i)) (164 ((pr28 -1 r1
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pr28 1 r1 v)) (times (g l a) (cons r2 v) f90 g)) (160 ((pr28
-1 r1 v) (pr38 1 r2) (pr1 -1 r3)) (times (g l a) (cons r2 v)
f90 g)) (159 ((pr1 1 r3) (pr40 -1 r2) (pr28 1 r1 v)) (times
(cons r2 v) f89 g i)) (158 ((pr28 -1 r1 v) (pr40 1 r2) (pr1
-1 r3)) (times (cons r2 v) f89 g i)) (157 ((pr1 -1 r3) (pr2
-1 r2) (pr32 1 r1 v)) (times (g l a) (cons r2 v) f88 g)) (
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cons r2 v) f88 g)) (155 ((pr1 -1 r3) (pr12 -1 r2) (pr32 1 r1
v)) (times (g l a) (cons r2 v) f87 g)) (154 ((pr32 -1 r1 v)
(pr12 1 r2) (pr1 1 r3)) (times (g l a) (cons r2 v) f87 g)) (
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v) f86 g i)) (152 ((pr32 -1 r1 v) (pr14 1 r2) (pr1 1 r3)) (
times (cons r2 v) f86 g i)) (151 ((pr1 -1 r3) (pr38 -1 r2) (
pr32 1 r1 v)) (times (cons r2 v) f85 g i)) (150 ((pr32 -1 r1
v) (pr38 1 r2) (pr1 1 r3)) (times (cons r2 v) f85 g i)) (149
((pr1 -1 r3) (pr40 -1 r2) (pr32 1 r1 v)) (times (g l a) (
cons r2 v) f84 g)) (148 ((pr32 -1 r1 v) (pr40 1 r2) (pr1 1 
r3)) (times (g l a) (cons r2 v) f84 g)) (147 ((pr3 0 r3) (
pr2 -1 r2) (pr33 1 r1 v)) (times (cons r2 v) f83 g i)) (146
((pr33 -1 r1 v) (pr2 1 r2) (pr3 0 r3)) (times (cons r2 v) 
f83 g i)) (145 ((pr11 0 r3) (pr2 -1 r2) (pr33 1 r1 v)) (
times (g l a) (cons r2 v) f82 g)) (144 ((pr33 -1 r1 v) (pr2
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(pr1 1 r3) (pr2 -1 r2) (pr34 1 r1 v)) (times (g l a) (cons 
r2 v) f81 g)) (142 ((pr34 -1 r1 v) (pr2 1 r2) (pr1 -1 r3)) (
times (g l a) (cons r2 v) f81 g)) (141 ((pr1 1 r3) (pr12 -1
r2) (pr34 1 r1 v)) (times (g l a) (cons r2 v) f80 g)) (140 (
(pr34 -1 r1 v) (pr12 1 r2) (pr1 -1 r3)) (times (g l a) (cons
r2 v) f80 g)) (139 ((pr1 1 r3) (pr14 -1 r2) (pr34 1 r1 v)) (
times (cons r2 v) f79 g i)) (138 ((pr34 -1 r1 v) (pr14 1 r2)
(pr1 -1 r3)) (times (cons r2 v) f79 g i)) (137 ((pr1 1 r3) (
pr38 -1 r2) (pr34 1 r1 v)) (times (cons r2 v) f78 g i)) (136
((pr34 -1 r1 v) (pr38 1 r2) (pr1 -1 r3)) (times (cons r2 v)
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(pr3 0 r3) (pr2 -1 r2) (pr41 1 r1 v)) (times (g l a) (cons 
r2 v) f76 g)) (132 ((pr41 -1 r1 v) (pr2 1 r2) (pr3 0 r3)) (
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r2) (pr41 1 r1 v)) (times (g l a) (cons r2 v) f75 g)) (130 (
(pr41 -1 r1 v) (pr2 1 r2) (pr5 0 r3)) (times (g l a) (cons 
r2 v) f75 g)) (129 ((pr11 0 r3) (pr2 -1 r2) (pr41 1 r1 v)) (
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(pr11 0 r3)) (times (cons r2 v) f74 g i)) (127 ((pr1 1 r3) (
pr29 -1 r2) (pr41 1 r1 v)) (times (g l a) (cons r2 v) f73 g)
) (126 ((pr41 -1 r1 v) (pr29 1 r2) (pr1 -1 r3)) (times (g l
a) (cons r2 v) f73 g)) (125 ((pr1 -1 r3) (pr31 -1 r2) (pr41
1 r1 v)) (times (g l a) (cons r2 v) f72 g)) (124 ((pr41 -1 
r1 v) (pr31 1 r2) (pr1 1 r3)) (times (g l a) (cons r2 v) f72
g)) (123 ((pr1 1 r3) (pr35 -1 r2) (pr41 1 r1 v)) (times (
cons r2 v) f71 g i)) (122 ((pr41 -1 r1 v) (pr35 1 r2) (pr1 
-1 r3)) (times (cons r2 v) f71 g i)) (121 ((pr1 -1 r3) (pr37
-1 r2) (pr41 1 r1 v)) (times (cons r2 v) f70 g i)) (120 ((
pr41 -1 r1 v) (pr37 1 r2) (pr1 1 r3)) (times (cons r2 v) f70
g i)) (119 ((pr3 0 r3) (pr2 -1 r2) (pr43 1 r1 v)) (times (
cons r2 v) f69 g i)) (118 ((pr43 -1 r1 v) (pr2 1 r2) (pr3 0
r3)) (times (cons r2 v) f69 g i)) (117 ((pr5 0 r3) (pr2 -1 
r2) (pr43 1 r1 v)) (times (cons r2 v) f68 g i)) (116 ((pr43
-1 r1 v) (pr2 1 r2) (pr5 0 r3)) (times (cons r2 v) f68 g i))
(115 ((pr11 0 r3) (pr2 -1 r2) (pr43 1 r1 v)) (times (g l a)
(cons r2 v) f67 g)) (114 ((pr43 -1 r1 v) (pr2 1 r2) (pr11 0
r3)) (times (g l a) (cons r2 v) f67 g)) (113 ((pr1 1 r3) (
pr29 -1 r2) (pr43 1 r1 v)) (times (cons r2 v) f66 g i)) (112
((pr43 -1 r1 v) (pr29 1 r2) (pr1 -1 r3)) (times (cons r2 v)
f66 g i)) (111 ((pr1 -1 r3) (pr31 -1 r2) (pr43 1 r1 v)) (
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pr35 -1 r2) (pr43 1 r1 v)) (times (g l a) (cons r2 v) f64 g)
) (108 ((pr43 -1 r1 v) (pr35 1 r2) (pr1 -1 r3)) (times (g l
a) (cons r2 v) f64 g)) (107 ((pr1 -1 r3) (pr37 -1 r2) (pr43
1 r1 v)) (times (g l a) (cons r2 v) f63 g)) (106 ((pr43 -1 
r1 v) (pr37 1 r2) (pr1 1 r3)) (times (g l a) (cons r2 v) f63
g)) (105 ((pr2 -1 r1) (pr2 1 r2) (pr9 0 r3)) (times (g l a)
f62 g i)) (104 ((pr2 -1 r1) (pr2 1 r2) (pr11 0 r3)) (times (
g l a) f61 g i)) (103 ((pr11 0 r3) (pr2 -1 r2) (pr12 1 r1))
(times (g l a) f60 g i)) (102 ((pr12 -1 r1) (pr2 1 r2) (pr11
0 r3)) (times (g l a) f60 g i)) (101 ((pr12 -1 r1) (pr12 1 
r2) (pr11 0 r3)) (times (g l a) f59 g i)) (100 ((pr11 0 r3)
(pr2 -1 r2) (pr14 1 r1)) (times f58 g)) (99 ((pr14 -1 r1) (
pr2 1 r2) (pr11 0 r3)) (times f58 g)) (98 ((pr11 0 r3) (pr12
-1 r2) (pr14 1 r1)) (times f57 g)) (97 ((pr14 -1 r1) (pr12 1
r2) (pr11 0 r3)) (times f57 g)) (96 ((pr3 0 r3) (pr2 -1 r2)
(pr15 1 r1)) (times (g l a) f56 g i)) (95 ((pr15 -1 r1) (pr2
1 r2) (pr3 0 r3)) (times (g l a) f56 g i)) (94 ((pr11 0 r3)
(pr2 -1 r2) (pr15 1 r1)) (times f55 g)) (93 ((pr15 -1 r1) (
pr2 1 r2) (pr11 0 r3)) (times f55 g)) (92 ((pr3 0 r3) (pr2 
-1 r2) (pr19 1 r1)) (times f54 g)) (91 ((pr19 -1 r1) (pr2 1
r2) (pr3 0 r3)) (times f54 g)) (90 ((pr11 0 r3) (pr2 -1 r2)
(pr19 1 r1)) (times (g l a) f53 g i)) (89 ((pr19 -1 r1) (pr2
1 r2) (pr11 0 r3)) (times (g l a) f53 g i)) (88 ((pr1 -1 r3)
(pr2 -1 r2) (pr29 1 r1)) (times f52 g)) (87 ((pr29 -1 r1) (
pr2 1 r2) (pr1 1 r3)) (times f52 g)) (86 ((pr1 -1 r3) (pr12
-1 r2) (pr29 1 r1)) (times f51 g)) (85 ((pr29 -1 r1) (pr12 1
r2) (pr1 1 r3)) (times f51 g)) (84 ((pr3 0 r3) (pr2 -1 r2) (
pr30 1 r1)) (times (g l a) f50 g i)) (83 ((pr30 -1 r1) (pr2
1 r2) (pr3 0 r3)) (times (g l a) f50 g i)) (82 ((pr11 0 r3)
(pr2 -1 r2) (pr30 1 r1)) (times f49 g)) (81 ((pr30 -1 r1) (
pr2 1 r2) (pr11 0 r3)) (times f49 g)) (80 ((pr1 1 r3) (pr2 
-1 r2) (pr31 1 r1)) (times f48 g)) (79 ((pr31 -1 r1) (pr2 1
r2) (pr1 -1 r3)) (times f48 g)) (78 ((pr1 1 r3) (pr12 -1 r2)
(pr31 1 r1)) (times f47 g)) (77 ((pr31 -1 r1) (pr12 1 r2) (
pr1 -1 r3)) (times f47 g)) (76 ((pr1 -1 r3) (pr2 -1 r2) (
pr35 1 r1)) (times (g l a) f46 g i)) (75 ((pr35 -1 r1) (pr2
1 r2) (pr1 1 r3)) (times (g l a) f46 g i)) (74 ((pr1 -1 r3)
(pr12 -1 r2) (pr35 1 r1)) (times (g l a) f45 g i)) (73 ((
pr35 -1 r1) (pr12 1 r2) (pr1 1 r3)) (times (g l a) f45 g i))
(72 ((pr1 -1 r3) (pr14 -1 r2) (pr35 1 r1)) (times f44 g)) (
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((pr3 0 r3) (pr2 -1 r2) (pr36 1 r1)) (times f43 g)) (69 ((
pr36 -1 r1) (pr2 1 r2) (pr3 0 r3)) (times f43 g)) (68 ((pr11
0 r3) (pr2 -1 r2) (pr36 1 r1)) (times (g l a) f42 g i)) (67
((pr36 -1 r1) (pr2 1 r2) (pr11 0 r3)) (times (g l a) f42 g i
)) (66 ((pr1 1 r3) (pr2 -1 r2) (pr37 1 r1)) (times (g l a) 
f41 g i)) (65 ((pr37 -1 r1) (pr2 1 r2) (pr1 -1 r3)) (times (
g l a) f41 g i)) (64 ((pr1 1 r3) (pr12 -1 r2) (pr37 1 r1)) (
times (g l a) f40 g i)) (63 ((pr37 -1 r1) (pr12 1 r2) (pr1 
-1 r3)) (times (g l a) f40 g i)) (62 ((pr1 1 r3) (pr14 -1 r2
) (pr37 1 r1)) (times f39 g)) (61 ((pr37 -1 r1) (pr14 1 r2)
(pr1 -1 r3)) (times f39 g)) (60 ((pr3 0 r3) (pr2 -1 r2) (
pr38 1 r1)) (times (g l a) f38 g i)) (59 ((pr38 -1 r1) (pr2
1 r2) (pr3 0 r3)) (times (g l a) f38 g i)) (58 ((pr11 0 r3)
(pr2 -1 r2) (pr38 1 r1)) (times f37 g)) (57 ((pr38 -1 r1) (
pr2 1 r2) (pr11 0 r3)) (times f37 g)) (56 ((pr1 1 r3) (pr29
-1 r2) (pr38 1 r1)) (times (g l a) f36 g i)) (55 ((pr38 -1 
r1) (pr29 1 r2) (pr1 -1 r3)) (times (g l a) f36 g i)) (54 ((
pr1 -1 r3) (pr31 -1 r2) (pr38 1 r1)) (times (g l a) f35 g i)
) (53 ((pr38 -1 r1) (pr31 1 r2) (pr1 1 r3)) (times (g l a) 
f35 g i)) (52 ((pr1 1 r3) (pr35 -1 r2) (pr38 1 r1)) (times 
f34 g)) (51 ((pr38 -1 r1) (pr35 1 r2) (pr1 -1 r3)) (times 
f34 g)) (50 ((pr1 -1 r3) (pr37 -1 r2) (pr38 1 r1)) (times 
f33 g)) (49 ((pr38 -1 r1) (pr37 1 r2) (pr1 1 r3)) (times f33
g)) (48 ((pr3 0 r3) (pr2 -1 r2) (pr40 1 r1)) (times f32 g))
(47 ((pr40 -1 r1) (pr2 1 r2) (pr3 0 r3)) (times f32 g)) (46
((pr11 0 r3) (pr2 -1 r2) (pr40 1 r1)) (times (g l a) f31 g i
)) (45 ((pr40 -1 r1) (pr2 1 r2) (pr11 0 r3)) (times (g l a)
f31 g i)) (44 ((pr1 1 r3) (pr29 -1 r2) (pr40 1 r1)) (times 
f30 g)) (43 ((pr40 -1 r1) (pr29 1 r2) (pr1 -1 r3)) (times 
f30 g)) (42 ((pr1 -1 r3) (pr31 -1 r2) (pr40 1 r1)) (times 
f29 g)) (41 ((pr40 -1 r1) (pr31 1 r2) (pr1 1 r3)) (times f29
g)) (40 ((pr1 1 r3) (pr35 -1 r2) (pr40 1 r1)) (times (g l a)
f28 g i)) (39 ((pr40 -1 r1) (pr35 1 r2) (pr1 -1 r3)) (times
(g l a) f28 g i)) (38 ((pr1 -1 r3) (pr37 -1 r2) (pr40 1 r1))
(times (g l a) f27 g i)) (37 ((pr40 -1 r1) (pr37 1 r2) (pr1
1 r3)) (times (g l a) f27 g i)) (36 ((pr1 -1 r3) (pr9 0 r2)
(pr10 1 r1 v va vb vc vd vf)) (times (cons r2 v) (cons r2 va
) (cons r2 vb) (cons r2 vc) (cons r2 vd) (cons r2 vf) f26 g)
) (35 ((pr10 -1 r1 v va vb vc vd vf) (pr9 0 r2) (pr1 1 r3))
(times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 vc) (
cons r2 vd) (cons r2 vf) f26 g)) (34 ((pr1 -1 r3) (pr11 0 r2
) (pr10 1 r1 v va vb vc vd vf)) (times (cons r2 v) (cons r2
va) (cons r2 vb) (cons r2 vc) (cons r2 vd) (cons r2 vf) f25
g)) (33 ((pr10 -1 r1 v va vb vc vd vf) (pr11 0 r2) (pr1 1 r3
)) (times (cons r2 v) (cons r2 va) (cons r2 vb) (cons r2 vc)
(cons r2 vd) (cons r2 vf) f25 g)) (32 ((pr7 0 r1 v va vb) (
pr4 0 r2 vc) (pr3 0 r3)) (plus (times (cons r1 vc) (cons r2
v) (cons r2 va) (cons r2 vb) f24 g) (times (cons r2 v) (cons
r2 va) (cons vb vc) f23 g))) (31 ((pr7 0 r1 v va vb) (pr4 0
r2 vc) (pr5 0 r3)) (plus (times (cons r1 vc) (cons r2 v) (
cons r2 va) (cons r2 vb) f22 g) (times (cons r2 v) (cons r2
va) (cons vb vc) f21 g))) (30 ((pr7 0 r1 v va vb) (pr4 0 r2
vc) (pr11 0 r3)) (minus (times (cons r2 va) (cons r2 vb) (
eps r1 r2 v vc) f20 g))) (29 ((pr7 0 r1 v va vb) (pr1 -1 r2)
(pr1 1 r3)) (times (cons r2 v) (cons r2 va) (cons r2 vb) f19
g)) (28 ((pr4 0 r1 v) (pr4 0 r2 va) (pr9 0 r3)) (minus (
times (eps r1 r2 v va) f18 g))) (27 ((pr4 0 r1 v) (pr4 0 r2
va) (pr11 0 r3)) (minus (times (eps r1 r2 v va) f17 g))) (26
((pr6 0 r1 v) (pr4 0 r2 va) (pr3 0 r3)) (plus (times (cons 
r1 va) (cons r2 v) f16 g) (times (cons v va) f15 g))) (25 ((
pr6 0 r1 v) (pr4 0 r2 va) (pr5 0 r3)) (plus (times (cons r1
va) (cons r2 v) f14 g) (times (cons v va) f13 g))) (24 ((pr6
0 r1 v) (pr4 0 r2 va) (pr11 0 r3)) (minus (times (eps r1 r2
v va) f12 g))) (23 ((pr8 0 r1 v) (pr4 0 r2 va) (pr3 0 r3)) (
plus (times (cons r1 va) (cons r2 v) f11 g) (times (cons v 
va) f10 g))) (22 ((pr8 0 r1 v) (pr4 0 r2 va) (pr5 0 r3)) (
plus (times (cons r1 va) (cons r2 v) f9 g) (times (cons v va
) f8 g))) (21 ((pr8 0 r1 v) (pr4 0 r2 va) (pr11 0 r3)) (
minus (times (eps r1 r2 v va) f7 g))) (20 ((pr4 0 r1 v) (pr1
-1 r2) (pr1 1 r3)) (times (cons r2 v) f6 g)) (19 ((pr6 0 r1
v) (pr1 -1 r2) (pr1 1 r3)) (times (cons r2 v) f5 g)) (18 ((
pr8 0 r1 v) (pr1 -1 r2) (pr1 1 r3)) (times (cons r2 v) f4 g)
) (17 ((pr3 0 r1) (pr1 -1 r2) (pr1 1 r3)) (times f3 g)) (16
((pr5 0 r1) (pr1 -1 r2) (pr1 1 r3)) (times f2 g)) (15 ((pr11
0 r1) (pr9 0 r2) (pr3 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; 
