//file for all the primitive reps of J1 load simgps; Loading "/applic/magma2.4/libs/simgps/simgps" g:=SimGroup("J1"); re:=SimRecord("J1"); ma:=re`Max; //J1 of degree 266 g1:=ma[1]; a1,a2,a3:=CosetAction(g,g1); pr:=[2,3,5,7,11]; st:=Stabilizer(a2,1); orbs:=Orbits(st);#orbs; 5 lo:=[#orbs[i]: i in [1..#orbs]];lo; [ 1, 132, 110, 11, 12 ] v:=Index(a2,st); for j:=2 to #lo do "orbs no",j,"of length",#orbs[j]; edg:={1,Setseq(orbs[j])[1]}^a2; gr:=Graph;"no of edges=",#edg; "valence=",Valence(gr),"girth=",Girth(gr), "diameter=",Diameter(gr); Order(AutomorphismGroup(gr)); blox:=Setseq(orbs[j]^a2); des:=Design<1,v|blox>; Order(AutomorphismGroup(des)); for i:=1 to 5 do p:=pr[i];dc:=descode(v,blox,p); d1:=Dim(dc);d2:=Dim(Dual(dc)); d3:=Dim(dc meet Dual(dc)); "p=",p,"dim=",d1,"dimdual=",d2,"hull=",d3; end for; end for; orbs no 2 of length 132 no of edges= 17556 valence= 132 girth= 3 diameter= 2 175560 175560 p= 2 dim= 112 dimdual= 154 hull= 0 p= 3 dim= 153 dimdual= 113 hull= 0 p= 5 dim= 266 dimdual= 0 hull= 0 p= 7 dim= 266 dimdual= 0 hull= 0 p= 11 dim= 209 dimdual= 57 hull= 0 orbs no 3 of length 110 no of edges= 14630 valence= 110 girth= 3 diameter= 2 175560 175560 p= 2 dim= 188 dimdual= 78 hull= 0 p= 3 dim= 266 dimdual= 0 hull= 0 p= 5 dim= 56 dimdual= 210 hull= 56 p= 7 dim= 266 dimdual= 0 hull= 0 p= 11 dim= 209 dimdual= 57 hull= 0 orbs no 4 of length 11 no of edges= 1463 valence= 11 girth= 5 diameter= 4 175560 175560 p= 2 dim= 190 dimdual= 76 hull= 0 p= 3 dim= 266 dimdual= 0 hull= 0 p= 5 dim= 266 dimdual= 0 hull= 0 p= 7 dim= 266 dimdual= 0 hull= 0 p= 11 dim= 209 dimdual= 57 hull= 0 orbs no 5 of length 12 no of edges= 1596 valence= 12 girth= 5 diameter= 3 175560 175560 p= 2 dim= 112 dimdual= 154 hull= 0 p= 3 dim= 153 dimdual= 113 hull= 0 p= 5 dim= 266 dimdual= 0 hull= 0 p= 7 dim= 266 dimdual= 0 hull= 0 p= 11 dim= 266 dimdual= 0 hull= 0 --------------------------------------- //J1 of degree 1045 load simgps; Loading "/applic/magma2.4/libs/simgps/simgps" g:=SimGroup("J1"); re:=SimRecord("J1"); ma:=re`Max; g2:=ma[2]; a1,a2,a3:=CosetAction(g,g2); a2; Permutation group a2 acting on a set of cardinality 1045 Order = 175560 = 2^3 * 3 * 5 * 7 * 11 * 19 pr:=[2,3,5,7,11]; st:=Stabilizer(a2,1); orbs:=Orbits(st);#orbs; 11 lo:=[#orbs[i]: i in [1..#orbs]];lo; [ 1, 28, 168, 168, 168, 56, 168, 168, 56, 56, 8 ] v:=Index(a2,st); for j:=2 to #lo do "orbs no",j,"of length",#orbs[j]; edg:={1,Setseq(orbs[j])[1]}^a2; gr:=Graph;"no of edges=",#edg; "valence=",Valence(gr),"girth=",Girth(gr), "diameter=",Diameter(gr); Order(AutomorphismGroup(gr)); blox:=Setseq(orbs[j]^a2); des:=Design<1,v|blox>; Order(AutomorphismGroup(des)); for i:=1 to 5 do p:=pr[i];dc:=descode(v,blox,p); d1:=Dim(dc);d2:=Dim(Dual(dc)); d3:=Dim(dc meet Dual(dc)); "p=",p,"dim=",d1,"dimdual=",d2,"hull=",d3; end for; end for; orbs no 2 of length 28 no of edges= 14630 valence= 28 girth= 3 diameter= 3 175560 175560 p= 2 dim= 572 dimdual= 473 hull= 0 p= 3 dim= 1045 dimdual= 0 hull= 0 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 770 dimdual= 275 hull= 0 p= 11 dim= 962 dimdual= 83 hull= 49 orbs no 3 of length 168 no of edges= 87780 valence= 168 girth= 3 diameter= 3 175560 175560 p= 2 dim= 856 dimdual= 189 hull= 0 p= 3 dim= 702 dimdual= 343 hull= 0 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 684 dimdual= 361 hull= 89 p= 11 dim= 1045 dimdual= 0 hull= 0 orbs no 4 of length 168 no of edges= 87780 valence= 168 girth= 3 diameter= 2 175560 175560 p= 2 dim= 968 dimdual= 77 hull= 0 p= 3 dim= 360 dimdual= 685 hull= 0 p= 5 dim= 856 dimdual= 189 hull= 56 p= 7 dim= 924 dimdual= 121 hull= 0 p= 11 dim= 968 dimdual= 77 hull= 0 orbs no 5 of length 168 no of edges= 87780 valence= 168 girth= 3 diameter= 2 175560 175560 p= 2 dim= 758 dimdual= 287 hull= 134 p= 3 dim= 702 dimdual= 343 hull= 0 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 791 dimdual= 254 hull= 0 p= 11 dim= 1045 dimdual= 0 hull= 0 orbs no 6 of length 56 no of edges= 29260 valence= 56 girth= 3 diameter= 3 175560 175560 p= 2 dim= 968 dimdual= 77 hull= 0 p= 3 dim= 1045 dimdual= 0 hull= 0 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 924 dimdual= 121 hull= 0 p= 11 dim= 1045 dimdual= 0 hull= 0 orbs no 7 of length 168 no of edges= 87780 valence= 168 girth= 3 diameter= 2 175560 175560 p= 2 dim= 856 dimdual= 189 hull= 0 p= 3 dim= 493 dimdual= 552 hull= 133 p= 5 dim= 912 dimdual= 133 hull= 56 p= 7 dim= 924 dimdual= 121 hull= 0 p= 11 dim= 1045 dimdual= 0 hull= 0 orbs no 8 of length 168 no of edges= 87780 valence= 168 girth= 3 diameter= 3 175560 175560 p= 2 dim= 758 dimdual= 287 hull= 134 p= 3 dim= 702 dimdual= 343 hull= 0 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 684 dimdual= 361 hull= 89 p= 11 dim= 968 dimdual= 77 hull= 0 orbs no 9 of length 56 no of edges= 29260 valence= 56 girth= 3 diameter= 3 175560 175560 p= 2 dim= 968 dimdual= 77 hull= 0 p= 3 dim= 836 dimdual= 209 hull= 133 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 924 dimdual= 121 hull= 0 p= 11 dim= 968 dimdual= 77 hull= 0 orbs no 10 of length 56 no of edges= 29260 valence= 56 girth= 4 diameter= 3 175560 175560 p= 2 dim= 512 dimdual= 533 hull= 152 p= 3 dim= 1045 dimdual= 0 hull= 0 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 924 dimdual= 121 hull= 0 p= 11 dim= 1045 dimdual= 0 hull= 0 orbs no 11 of length 8 no of edges= 4180 valence= 8 girth= 5 diameter= 5 175560 175560 p= 2 dim= 968 dimdual= 77 hull= 0 p= 3 dim= 836 dimdual= 209 hull= 133 p= 5 dim= 1045 dimdual= 0 hull= 0 p= 7 dim= 1045 dimdual= 0 hull= 0 p= 11 dim= 1045 dimdual= 0 hull= 0 ------------------------------------ //J1 of degree 1463 Total time: 2190.920 seconds Magma V2.4-4 Wed Apr 7 1999 12:06:04 on unpsun2 Type ? for help. Type -D to quit. Restoring Magma state from "g3.w" orbs no 2 of length 20 p= 2 dim= 264 dimdual= 1199 hull= 76 p= 3 dim= 1463 dimdual= 0 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 3 of length 120 p= 2 dim= 320 dimdual= 1143 hull= 208 p= 3 dim= 1350 dimdual= 113 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1254 dimdual= 209 hull= 0 orbs no 4 of length 60 p= 2 dim= 700 dimdual= 763 hull= 152 p= 3 dim= 1350 dimdual= 113 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 5 of length 120 p= 2 dim= 568 dimdual= 895 hull= 208 p= 3 dim= 1350 dimdual= 113 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1254 dimdual= 209 hull= 120 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 6 of length 120 p= 2 dim= 660 dimdual= 803 hull= 188 p= 3 dim= 1273 dimdual= 190 hull= 76 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1253 dimdual= 210 hull= 133 p= 11 dim= 1386 dimdual= 77 hull= 0 orbs no 7 of length 60 p= 2 dim= 888 dimdual= 575 hull= 340 p= 3 dim= 1008 dimdual= 455 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 8 of length 120 p= 2 dim= 320 dimdual= 1143 hull= 208 p= 3 dim= 1008 dimdual= 455 hull= 0 p= 5 dim= 1252 dimdual= 211 hull= 56 p= 7 dim= 1330 dimdual= 133 hull= 0 p= 11 dim= 1316 dimdual= 147 hull= 106 orbs no 9 of length 60 p= 2 dim= 888 dimdual= 575 hull= 340 p= 3 dim= 1008 dimdual= 455 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 10 of length 120 p= 2 dim= 660 dimdual= 803 hull= 188 p= 3 dim= 1273 dimdual= 190 hull= 76 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1343 dimdual= 120 hull= 56 orbs no 11 of length 120 p= 2 dim= 492 dimdual= 971 hull= 20 p= 3 dim= 855 dimdual= 608 hull= 77 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1386 dimdual= 77 hull= 0 p= 11 dim= 1386 dimdual= 77 hull= 0 orbs no 12 of length 60 p= 2 dim= 888 dimdual= 575 hull= 340 p= 3 dim= 1141 dimdual= 322 hull= 133 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1209 dimdual= 254 hull= 75 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 13 of length 120 p= 2 dim= 660 dimdual= 803 hull= 188 p= 3 dim= 1196 dimdual= 267 hull= 152 p= 5 dim= 1252 dimdual= 211 hull= 77 p= 7 dim= 1309 dimdual= 154 hull= 0 p= 11 dim= 1309 dimdual= 154 hull= 0 orbs no 14 of length 60 p= 2 dim= 832 dimdual= 631 hull= 284 p= 3 dim= 1064 dimdual= 399 hull= 209 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 15 of length 20 p= 2 dim= 964 dimdual= 499 hull= 416 p= 3 dim= 1463 dimdual= 0 hull= 0 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1380 dimdual= 83 hull= 49 orbs no 16 of length 60 p= 2 dim= 964 dimdual= 499 hull= 416 p= 3 dim= 1141 dimdual= 322 hull= 133 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1386 dimdual= 77 hull= 0 p= 11 dim= 1380 dimdual= 83 hull= 49 orbs no 17 of length 60 p= 2 dim= 832 dimdual= 631 hull= 284 p= 3 dim= 1064 dimdual= 399 hull= 210 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 18 of length 15 p= 2 dim= 1044 dimdual= 419 hull= 419 p= 3 dim= 1197 dimdual= 266 hull= 153 p= 5 dim= 1329 dimdual= 134 hull= 77 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 19 of length 60 p= 2 dim= 888 dimdual= 575 hull= 340 p= 3 dim= 1141 dimdual= 322 hull= 133 p= 5 dim= 1385 dimdual= 78 hull= 0 p= 7 dim= 1209 dimdual= 254 hull= 75 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 20 of length 60 p= 2 dim= 492 dimdual= 971 hull= 416 p= 3 dim= 1141 dimdual= 322 hull= 133 p= 5 dim= 967 dimdual= 496 hull= 56 p= 7 dim= 1254 dimdual= 209 hull= 120 p= 11 dim= 1254 dimdual= 209 hull= 0 orbs no 21 of length 15 p= 2 dim= 1044 dimdual= 419 hull= 231 p= 3 dim= 1197 dimdual= 266 hull= 77 p= 5 dim= 1329 dimdual= 134 hull= 77 p= 7 dim= 1463 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 0 hull= 0 orbs no 22 of length 12 p= 2 dim= 964 dimdual= 499 hull= 416 p= 3 dim= 1350 dimdual= 113 hull= 0 p= 5 dim= 1463 dimdual= 0 hull= 0 p= 7 dim= 1342 dimdual= 121 hull= 75 p= 11 dim= 1463 dimdual= 0 hull= 0 ------------------------------------ //J1 of degree 1540 Magma V2.4-4 Mon Apr 5 1999 15:38:42 on unpsun2 Type ? for help. Type -D to quit. Restoring Magma state from "g4.w" orbs no 1 of length 1 p= 2 dim= 1540 dimdual= 0 hull= 0 p= 3 dim= 1540 dimdual= 0 hull= 0 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 2 of length 38 p= 2 dim= 738 dimdual= 802 hull= 246 p= 3 dim= 1463 dimdual= 77 hull= 76 p= 5 dim= 1295 dimdual= 245 hull= 0 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 3 of length 57 p= 2 dim= 1464 dimdual= 76 hull= 76 p= 3 dim= 855 dimdual= 685 hull= 0 p= 5 dim= 1295 dimdual= 245 hull= 0 p= 7 dim= 1419 dimdual= 121 hull= 75 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 4 of length 114 p= 2 dim= 968 dimdual= 572 hull= 0 p= 3 dim= 988 dimdual= 552 hull= 209 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1428 dimdual= 112 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 5 of length 38 p= 2 dim= 856 dimdual= 684 hull= 0 p= 3 dim= 1331 dimdual= 209 hull= 133 p= 5 dim= 1330 dimdual= 210 hull= 0 p= 7 dim= 1419 dimdual= 121 hull= 75 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 6 of length 38 p= 2 dim= 646 dimdual= 894 hull= 134 p= 3 dim= 1121 dimdual= 419 hull= 285 p= 5 dim= 1331 dimdual= 209 hull= 76 p= 7 dim= 1211 dimdual= 329 hull= 0 p= 11 dim= 1254 dimdual= 286 hull= 0 orbs no 7 of length 114 p= 2 dim= 968 dimdual= 572 hull= 0 p= 3 dim= 988 dimdual= 552 hull= 209 p= 5 dim= 1407 dimdual= 133 hull= 77 p= 7 dim= 1419 dimdual= 121 hull= 75 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 8 of length 114 p= 2 dim= 759 dimdual= 781 hull= 135 p= 3 dim= 1120 dimdual= 420 hull= 76 p= 5 dim= 1198 dimdual= 342 hull= 265 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 9 of length 57 p= 2 dim= 1540 dimdual= 0 hull= 0 p= 3 dim= 911 dimdual= 629 hull= 209 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1393 dimdual= 147 hull= 106 orbs no 10 of length 114 p= 2 dim= 759 dimdual= 781 hull= 135 p= 3 dim= 1120 dimdual= 420 hull= 0 p= 5 dim= 1198 dimdual= 342 hull= 132 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 11 of length 57 p= 2 dim= 894 dimdual= 646 hull= 210 p= 3 dim= 855 dimdual= 685 hull= 209 p= 5 dim= 1407 dimdual= 133 hull= 56 p= 7 dim= 1419 dimdual= 121 hull= 75 p= 11 dim= 1463 dimdual= 77 hull= 0 orbs no 12 of length 114 p= 2 dim= 758 dimdual= 782 hull= 134 p= 3 dim= 1196 dimdual= 344 hull= 76 p= 5 dim= 1198 dimdual= 342 hull= 265 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 13 of length 114 p= 2 dim= 968 dimdual= 572 hull= 0 p= 3 dim= 779 dimdual= 761 hull= 266 p= 5 dim= 1407 dimdual= 133 hull= 77 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1463 dimdual= 77 hull= 0 orbs no 14 of length 114 p= 2 dim= 968 dimdual= 572 hull= 0 p= 3 dim= 988 dimdual= 552 hull= 209 p= 5 dim= 1407 dimdual= 133 hull= 77 p= 7 dim= 1419 dimdual= 121 hull= 75 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 15 of length 114 p= 2 dim= 856 dimdual= 684 hull= 0 p= 3 dim= 988 dimdual= 552 hull= 209 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1463 dimdual= 77 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 16 of length 114 p= 2 dim= 968 dimdual= 572 hull= 0 p= 3 dim= 855 dimdual= 685 hull= 0 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1267 dimdual= 273 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 17 of length 57 p= 2 dim= 1540 dimdual= 0 hull= 0 p= 3 dim= 911 dimdual= 629 hull= 209 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1393 dimdual= 147 hull= 106 orbs no 18 of length 19 p= 2 dim= 1540 dimdual= 0 hull= 0 p= 3 dim= 1540 dimdual= 0 hull= 0 p= 5 dim= 1331 dimdual= 209 hull= 76 p= 7 dim= 1330 dimdual= 210 hull= 0 p= 11 dim= 1540 dimdual= 0 hull= 0 orbs no 19 of length 57 p= 2 dim= 858 dimdual= 682 hull= 134 p= 3 dim= 855 dimdual= 685 hull= 0 p= 5 dim= 1331 dimdual= 209 hull= 76 p= 7 dim= 1419 dimdual= 121 hull= 75 p= 11 dim= 1463 dimdual= 77 hull= 0 orbs no 20 of length 57 p= 2 dim= 1540 dimdual= 0 hull= 0 p= 3 dim= 1196 dimdual= 344 hull= 76 p= 5 dim= 1540 dimdual= 0 hull= 0 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1184 dimdual= 356 hull= 106 orbs no 21 of length 38 p= 2 dim= 968 dimdual= 572 hull= 0 p= 3 dim= 1540 dimdual= 0 hull= 0 p= 5 dim= 1331 dimdual= 209 hull= 209 p= 7 dim= 1540 dimdual= 0 hull= 0 p= 11 dim= 1393 dimdual= 147 hull= 106 -------------------------------------- //J1 of degree 1596 g5:=ma[5]; a1,a2,a3:=CosetAction(g,g5); a2; Permutation group a2 acting on a set of cardinality 1596 Order = 175560 = 2^3 * 3 * 5 * 7 * 11 * 19 v:=1596; st:=Stabilizer(a2,1); orbs:=Orbits(st);#orbs; 19 [ 1, 22, 110, 110, 110, 110, 110, 110, 110, 110, 55, 55, 110, 110, 110, 22, 110, 110, 11 ] orbs no 2 of length 22 p= 2 dim= 264 dimdual= 1332 hull= 152 p= 3 dim= 1596 dimdual= 0 hull= 0 p= 5 dim= 1596 dimdual= 0 hull= 0 p= 7 dim= 1519 dimdual= 77 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 3 of length 110 p= 2 dim= 700 dimdual= 896 hull= 76 p= 3 dim= 1311 dimdual= 285 hull= 0 p= 5 dim= 1044 dimdual= 552 hull= 209 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1475 dimdual= 121 hull= 56 orbs no 4 of length 110 p= 2 dim= 778 dimdual= 818 hull= 266 p= 3 dim= 1519 dimdual= 77 hull= 76 p= 5 dim= 1330 dimdual= 266 hull= 133 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 5 of length 110 p= 2 dim= 343 dimdual= 1253 hull= 343 p= 3 dim= 1387 dimdual= 209 hull= 133 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 6 of length 110 p= 2 dim= 779 dimdual= 817 hull= 419 p= 3 dim= 1387 dimdual= 209 hull= 76 p= 5 dim= 1330 dimdual= 266 hull= 133 p= 7 dim= 1236 dimdual= 360 hull= 165 p= 11 dim= 1455 dimdual= 141 hull= 69 orbs no 7 of length 110 p= 2 dim= 700 dimdual= 896 hull= 76 p= 3 dim= 1596 dimdual= 0 hull= 0 p= 5 dim= 1177 dimdual= 419 hull= 132 p= 7 dim= 1386 dimdual= 210 hull= 0 p= 11 dim= 1419 dimdual= 177 hull= 0 orbs no 8 of length 110 p= 2 dim= 512 dimdual= 1084 hull= 152 p= 3 dim= 1387 dimdual= 209 hull= 133 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1519 dimdual= 77 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 9 of length 110 p= 2 dim= 1100 dimdual= 496 hull= 76 p= 3 dim= 1387 dimdual= 209 hull= 133 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 10 of length 110 p= 2 dim= 1156 dimdual= 440 hull= 378 p= 3 dim= 1234 dimdual= 362 hull= 209 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1519 dimdual= 77 hull= 0 p= 11 dim= 1309 dimdual= 287 hull= 0 orbs no 11 of length 55 p= 2 dim= 1044 dimdual= 552 hull= 0 p= 3 dim= 1236 dimdual= 360 hull= 0 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1386 dimdual= 210 hull= 0 orbs no 12 of length 55 p= 2 dim= 762 dimdual= 834 hull= 190 p= 3 dim= 1387 dimdual= 209 hull= 76 p= 5 dim= 1330 dimdual= 266 hull= 0 p= 7 dim= 1445 dimdual= 151 hull= 45 p= 11 dim= 1455 dimdual= 141 hull= 69 orbs no 13 of length 110 p= 2 dim= 779 dimdual= 817 hull= 267 p= 3 dim= 1387 dimdual= 209 hull= 76 p= 5 dim= 1330 dimdual= 266 hull= 133 p= 7 dim= 1236 dimdual= 360 hull= 165 p= 11 dim= 1455 dimdual= 141 hull= 69 orbs no 14 of length 110 p= 2 dim= 1064 dimdual= 532 hull= 0 p= 3 dim= 1330 dimdual= 266 hull= 112 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1310 dimdual= 286 hull= 120 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 15 of length 110 p= 2 dim= 343 dimdual= 1253 hull= 191 p= 3 dim= 1387 dimdual= 209 hull= 133 p= 5 dim= 1386 dimdual= 210 hull= 56 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 16 of length 22 p= 2 dim= 796 dimdual= 800 hull= 380 p= 3 dim= 1387 dimdual= 209 hull= 76 p= 5 dim= 1387 dimdual= 209 hull= 133 p= 7 dim= 1356 dimdual= 240 hull= 89 p= 11 dim= 1386 dimdual= 210 hull= 0 orbs no 17 of length 110 p= 2 dim= 1176 dimdual= 420 hull= 0 p= 3 dim= 1387 dimdual= 209 hull= 133 p= 5 dim= 1330 dimdual= 266 hull= 0 p= 7 dim= 1356 dimdual= 240 hull= 89 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 18 of length 110 p= 2 dim= 1100 dimdual= 496 hull= 76 p= 3 dim= 1519 dimdual= 77 hull= 76 p= 5 dim= 1274 dimdual= 322 hull= 77 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1595 dimdual= 1 hull= 0 orbs no 19 of length 11 p= 2 dim= 1520 dimdual= 76 hull= 76 p= 3 dim= 1311 dimdual= 285 hull= 0 p= 5 dim= 1386 dimdual= 210 hull= 0 p= 7 dim= 1596 dimdual= 0 hull= 0 p= 11 dim= 1475 dimdual= 121 hull= 56 -------------------------------------- //J1 of degree 2926 Magma V2.3-1 Wed Mar 31 1999 03:26:13 on babbage Loading "/usr/local/magma2.3/LIBS/simgps/simgps" Permutation group a2 acting on a set of cardinality 2926 Order = 175560 = 2^3 * 3 * 5 * 7 * 11 * 19 67 [ 1, 15, 60, 30, 30, 30, 60, 15, 60, 60, 30, 30, 30, 30, 30, 60, 30, 60, 15, 30, 60, 60, 30, 60, 30, 60, 15, 15, 60, 60, 60, 60, 30, 60, 60, 60, 60, 60, 60, 60, 60, 30, 30, 30, 60, 30, 30, 60, 60, 30, 60, 60, 60, 30, 30, 30, 60, 60, 60, 30, 60, 30, 60, 30, 30, 60, 30 ] orbs no 2 of length 15 p= 2 dim= 2850 dimdual= 76 hull= 0 p= 3 dim= 1462 dimdual= 1464 hull= 112 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2639 dimdual= 287 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 3 of length 60 p= 2 dim= 1556 dimdual= 1370 hull= 536 p= 3 dim= 2583 dimdual= 343 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 133 p= 7 dim= 2521 dimdual= 405 hull= 120 p= 11 dim= 2535 dimdual= 391 hull= 27 orbs no 4 of length 30 p= 2 dim= 1725 dimdual= 1201 hull= 593 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 209 p= 7 dim= 2595 dimdual= 331 hull= 75 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 5 of length 30 p= 2 dim= 1744 dimdual= 1182 hull= 536 p= 3 dim= 2848 dimdual= 78 hull= 77 p= 5 dim= 2792 dimdual= 134 hull= 77 p= 7 dim= 2399 dimdual= 527 hull= 121 p= 11 dim= 2849 dimdual= 77 hull= 0 orbs no 6 of length 30 p= 2 dim= 2124 dimdual= 802 hull= 112 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2624 dimdual= 302 hull= 83 orbs no 7 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2772 dimdual= 154 hull= 153 p= 5 dim= 2640 dimdual= 286 hull= 0 p= 7 dim= 2684 dimdual= 242 hull= 150 p= 11 dim= 2744 dimdual= 182 hull= 27 orbs no 8 of length 15 p= 2 dim= 2242 dimdual= 684 hull= 308 p= 3 dim= 2506 dimdual= 420 hull= 189 p= 5 dim= 2450 dimdual= 476 hull= 266 p= 7 dim= 2660 dimdual= 266 hull= 0 p= 11 dim= 2603 dimdual= 323 hull= 183 orbs no 9 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2506 dimdual= 420 hull= 77 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2792 dimdual= 134 hull= 119 orbs no 10 of length 60 p= 2 dim= 1211 dimdual= 1715 hull= 439 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2640 dimdual= 286 hull= 0 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 11 of length 30 p= 2 dim= 1725 dimdual= 1201 hull= 517 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2595 dimdual= 331 hull= 75 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 12 of length 30 p= 2 dim= 2088 dimdual= 838 hull= 0 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2805 dimdual= 121 hull= 75 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 13 of length 30 p= 2 dim= 1177 dimdual= 1749 hull= 517 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2849 dimdual= 77 hull= 0 orbs no 14 of length 30 p= 2 dim= 1177 dimdual= 1749 hull= 517 p= 3 dim= 2716 dimdual= 210 hull= 209 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2849 dimdual= 77 hull= 0 orbs no 15 of length 30 p= 2 dim= 1649 dimdual= 1277 hull= 629 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2717 dimdual= 209 hull= 120 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 16 of length 60 p= 2 dim= 1648 dimdual= 1278 hull= 628 p= 3 dim= 2565 dimdual= 361 hull= 0 p= 5 dim= 2583 dimdual= 343 hull= 209 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 17 of length 30 p= 2 dim= 1745 dimdual= 1181 hull= 573 p= 3 dim= 2716 dimdual= 210 hull= 209 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 18 of length 60 p= 2 dim= 1556 dimdual= 1370 hull= 460 p= 3 dim= 2716 dimdual= 210 hull= 209 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2535 dimdual= 391 hull= 27 orbs no 19 of length 15 p= 2 dim= 2068 dimdual= 858 hull= 398 p= 3 dim= 2659 dimdual= 267 hull= 112 p= 5 dim= 2450 dimdual= 476 hull= 286 p= 7 dim= 2527 dimdual= 399 hull= 0 p= 11 dim= 2603 dimdual= 323 hull= 183 orbs no 20 of length 30 p= 2 dim= 1727 dimdual= 1199 hull= 595 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2583 dimdual= 343 hull= 132 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 21 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2563 dimdual= 363 hull= 209 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2849 dimdual= 77 hull= 0 p= 11 dim= 2570 dimdual= 356 hull= 106 orbs no 22 of length 60 p= 2 dim= 1308 dimdual= 1618 hull= 460 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 209 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 23 of length 30 p= 2 dim= 2088 dimdual= 838 hull= 0 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2805 dimdual= 121 hull= 75 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 24 of length 60 p= 2 dim= 1156 dimdual= 1770 hull= 420 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 25 of length 30 p= 2 dim= 2352 dimdual= 574 hull= 264 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2728 dimdual= 198 hull= 152 p= 11 dim= 2792 dimdual= 134 hull= 119 orbs no 26 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 536 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 27 of length 15 p= 2 dim= 2068 dimdual= 858 hull= 210 p= 3 dim= 2659 dimdual= 267 hull= 112 p= 5 dim= 2450 dimdual= 476 hull= 286 p= 7 dim= 2527 dimdual= 399 hull= 0 p= 11 dim= 2603 dimdual= 323 hull= 183 orbs no 28 of length 15 p= 2 dim= 2242 dimdual= 684 hull= 308 p= 3 dim= 2506 dimdual= 420 hull= 112 p= 5 dim= 2450 dimdual= 476 hull= 210 p= 7 dim= 2660 dimdual= 266 hull= 0 p= 11 dim= 2603 dimdual= 323 hull= 183 orbs no 29 of length 60 p= 2 dim= 1556 dimdual= 1370 hull= 572 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2535 dimdual= 391 hull= 27 orbs no 30 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2843 dimdual= 83 hull= 49 orbs no 31 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2792 dimdual= 134 hull= 77 p= 7 dim= 2446 dimdual= 480 hull= 178 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 32 of length 60 p= 2 dim= 1570 dimdual= 1356 hull= 550 p= 3 dim= 2639 dimdual= 287 hull= 210 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2686 dimdual= 240 hull= 89 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 33 of length 30 p= 2 dim= 1727 dimdual= 1199 hull= 671 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2583 dimdual= 343 hull= 132 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 34 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2297 dimdual= 629 hull= 398 p= 5 dim= 2716 dimdual= 210 hull= 209 p= 7 dim= 2672 dimdual= 254 hull= 75 p= 11 dim= 2744 dimdual= 182 hull= 27 orbs no 35 of length 60 p= 2 dim= 1648 dimdual= 1278 hull= 628 p= 3 dim= 2565 dimdual= 361 hull= 0 p= 5 dim= 2583 dimdual= 343 hull= 209 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 36 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2772 dimdual= 154 hull= 0 p= 5 dim= 2792 dimdual= 134 hull= 77 p= 7 dim= 2497 dimdual= 429 hull= 240 p= 11 dim= 2702 dimdual= 224 hull= 106 orbs no 37 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 38 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 572 p= 3 dim= 2848 dimdual= 78 hull= 76 p= 5 dim= 2715 dimdual= 211 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 39 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 572 p= 3 dim= 2297 dimdual= 629 hull= 322 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2672 dimdual= 254 hull= 75 p= 11 dim= 2744 dimdual= 182 hull= 27 orbs no 40 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2843 dimdual= 83 hull= 49 orbs no 41 of length 60 p= 2 dim= 1556 dimdual= 1370 hull= 572 p= 3 dim= 2772 dimdual= 154 hull= 77 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 42 of length 30 p= 2 dim= 1633 dimdual= 1293 hull= 461 p= 3 dim= 2848 dimdual= 78 hull= 77 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 43 of length 30 p= 2 dim= 1745 dimdual= 1181 hull= 613 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 44 of length 30 p= 2 dim= 2352 dimdual= 574 hull= 264 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2583 dimdual= 343 hull= 189 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 45 of length 60 p= 2 dim= 1022 dimdual= 1904 hull= 474 p= 3 dim= 1442 dimdual= 1484 hull= 286 p= 5 dim= 2792 dimdual= 134 hull= 77 p= 7 dim= 2849 dimdual= 77 hull= 0 p= 11 dim= 2849 dimdual= 77 hull= 0 orbs no 46 of length 30 p= 2 dim= 1725 dimdual= 1201 hull= 629 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2597 dimdual= 329 hull= 56 orbs no 47 of length 30 p= 2 dim= 1633 dimdual= 1293 hull= 649 p= 3 dim= 2848 dimdual= 78 hull= 76 p= 5 dim= 2716 dimdual= 210 hull= 76 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 48 of length 60 p= 2 dim= 1211 dimdual= 1715 hull= 723 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2640 dimdual= 286 hull= 209 p= 7 dim= 2793 dimdual= 133 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 49 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2565 dimdual= 361 hull= 0 p= 5 dim= 2716 dimdual= 210 hull= 133 p= 7 dim= 2849 dimdual= 77 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 50 of length 30 p= 2 dim= 2352 dimdual= 574 hull= 264 p= 3 dim= 2772 dimdual= 154 hull= 0 p= 5 dim= 2450 dimdual= 476 hull= 419 p= 7 dim= 2805 dimdual= 121 hull= 75 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 51 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 536 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2507 dimdual= 419 hull= 209 p= 7 dim= 2814 dimdual= 112 hull= 0 p= 11 dim= 2779 dimdual= 147 hull= 106 orbs no 52 of length 60 p= 2 dim= 1648 dimdual= 1278 hull= 552 p= 3 dim= 2547 dimdual= 379 hull= 0 p= 5 dim= 2374 dimdual= 552 hull= 362 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 53 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2744 dimdual= 182 hull= 27 orbs no 54 of length 30 p= 2 dim= 2276 dimdual= 650 hull= 264 p= 3 dim= 2450 dimdual= 476 hull= 245 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 55 of length 30 p= 2 dim= 2276 dimdual= 650 hull= 264 p= 3 dim= 2506 dimdual= 420 hull= 76 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 56 of length 30 p= 2 dim= 2352 dimdual= 574 hull= 264 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2728 dimdual= 198 hull= 75 p= 11 dim= 2792 dimdual= 134 hull= 119 orbs no 57 of length 60 p= 2 dim= 1571 dimdual= 1355 hull= 515 p= 3 dim= 2772 dimdual= 154 hull= 0 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2737 dimdual= 189 hull= 64 orbs no 58 of length 60 p= 2 dim= 1176 dimdual= 1750 hull= 552 p= 3 dim= 2488 dimdual= 438 hull= 77 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 59 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 536 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2680 dimdual= 246 hull= 0 p= 7 dim= 2584 dimdual= 342 hull= 120 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 60 of length 30 p= 2 dim= 2276 dimdual= 650 hull= 264 p= 3 dim= 2506 dimdual= 420 hull= 77 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 61 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 572 p= 3 dim= 2563 dimdual= 363 hull= 133 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2849 dimdual= 77 hull= 77 p= 11 dim= 2570 dimdual= 356 hull= 106 orbs no 62 of length 30 p= 2 dim= 1649 dimdual= 1277 hull= 441 p= 3 dim= 2716 dimdual= 210 hull= 133 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2717 dimdual= 209 hull= 120 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 63 of length 60 p= 2 dim= 1571 dimdual= 1355 hull= 363 p= 3 dim= 2772 dimdual= 154 hull= 153 p= 5 dim= 2792 dimdual= 134 hull= 56 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2737 dimdual= 189 hull= 64 orbs no 64 of length 30 p= 2 dim= 2200 dimdual= 726 hull= 112 p= 3 dim= 2507 dimdual= 419 hull= 342 p= 5 dim= 2223 dimdual= 703 hull= 209 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2926 dimdual= 0 hull= 0 orbs no 65 of length 30 p= 2 dim= 1725 dimdual= 1201 hull= 517 p= 3 dim= 2925 dimdual= 1 hull= 0 p= 5 dim= 2925 dimdual= 1 hull= 0 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2597 dimdual= 329 hull= 56 orbs no 66 of length 60 p= 2 dim= 1668 dimdual= 1258 hull= 460 p= 3 dim= 2772 dimdual= 154 hull= 0 p= 5 dim= 2792 dimdual= 134 hull= 77 p= 7 dim= 2497 dimdual= 429 hull= 89 p= 11 dim= 2702 dimdual= 224 hull= 106 orbs no 67 of length 30 p= 2 dim= 2352 dimdual= 574 hull= 264 p= 3 dim= 2659 dimdual= 267 hull= 112 p= 5 dim= 2527 dimdual= 399 hull= 209 p= 7 dim= 2926 dimdual= 0 hull= 0 p= 11 dim= 2849 dimdual= 77 hull= 0 ---------------------------------------- //rep of J1 of degree 4180 Magma V2.3-1 Fri Apr 2 1999 02:07:43 on babbage Loading "/usr/local/magma2.3/LIBS/simgps/simgps" Permutation group a2 acting on a set of cardinality 4180 Order = 175560 = 2^3 * 3 * 5 * 7 * 11 * 19 107 [ 1, 42, 42, 42, 42, 42, 21, 42, 42, 42, 21, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 21, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 21, 42, 42, 42, 42, 21, 42, 42, 14, 42, 42, 42, 42, 42, 7, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 21, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 14, 42, 42, 42, 14, 14 ] orbs no 2 of length 42 p= 2 dim= 2660 dimdual= 1520 hull= 400 p= 3 dim= 3286 dimdual= 894 hull= 133 p= 5 dim= 4026 dimdual= 154 hull= 76 p= 7 dim= 4025 dimdual= 155 hull= 0 p= 11 dim= 4026 dimdual= 154 hull= 77 orbs no 3 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 190 p= 3 dim= 3683 dimdual= 497 hull= 112 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4014 dimdual= 166 hull= 31 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 4 of length 42 p= 2 dim= 3188 dimdual= 992 hull= 324 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 3849 dimdual= 331 hull= 284 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 5 of length 42 p= 2 dim= 3378 dimdual= 802 hull= 246 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 6 of length 42 p= 2 dim= 3588 dimdual= 592 hull= 378 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3792 dimdual= 388 hull= 75 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 7 of length 21 p= 2 dim= 3608 dimdual= 572 hull= 476 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3848 dimdual= 332 hull= 75 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 8 of length 42 p= 2 dim= 2926 dimdual= 1254 hull= 134 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 9 of length 42 p= 2 dim= 3266 dimdual= 914 hull= 246 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3970 dimdual= 210 hull= 120 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 10 of length 42 p= 2 dim= 3302 dimdual= 878 hull= 590 p= 3 dim= 3495 dimdual= 685 hull= 0 p= 5 dim= 3705 dimdual= 475 hull= 189 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 11 of length 21 p= 2 dim= 3608 dimdual= 572 hull= 572 p= 3 dim= 3323 dimdual= 857 hull= 112 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 12 of length 42 p= 2 dim= 3188 dimdual= 992 hull= 324 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 3849 dimdual= 331 hull= 284 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 13 of length 42 p= 2 dim= 3322 dimdual= 858 hull= 210 p= 3 dim= 3474 dimdual= 706 hull= 321 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 14 of length 42 p= 2 dim= 3112 dimdual= 1068 hull= 400 p= 3 dim= 3628 dimdual= 552 hull= 76 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3817 dimdual= 363 hull= 317 p= 11 dim= 4040 dimdual= 140 hull= 69 orbs no 15 of length 42 p= 2 dim= 3172 dimdual= 1008 hull= 76 p= 3 dim= 3230 dimdual= 950 hull= 363 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 3970 dimdual= 210 hull= 120 p= 11 dim= 3927 dimdual= 253 hull= 134 orbs no 16 of length 42 p= 2 dim= 3226 dimdual= 954 hull= 608 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3893 dimdual= 287 hull= 132 p= 7 dim= 3850 dimdual= 330 hull= 0 p= 11 dim= 4060 dimdual= 120 hull= 56 orbs no 17 of length 42 p= 2 dim= 3168 dimdual= 1012 hull= 456 p= 3 dim= 3474 dimdual= 706 hull= 285 p= 5 dim= 3991 dimdual= 189 hull= 56 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 18 of length 42 p= 2 dim= 3588 dimdual= 592 hull= 378 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3792 dimdual= 388 hull= 75 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 19 of length 42 p= 2 dim= 3322 dimdual= 858 hull= 114 p= 3 dim= 3530 dimdual= 650 hull= 112 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3837 dimdual= 343 hull= 209 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 20 of length 42 p= 2 dim= 3226 dimdual= 954 hull= 608 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3893 dimdual= 287 hull= 132 p= 7 dim= 3850 dimdual= 330 hull= 0 p= 11 dim= 4060 dimdual= 120 hull= 56 orbs no 21 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 287 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4033 dimdual= 147 hull= 106 orbs no 22 of length 42 p= 2 dim= 3496 dimdual= 684 hull= 0 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 3817 dimdual= 363 hull= 209 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4060 dimdual= 120 hull= 56 orbs no 23 of length 42 p= 2 dim= 3190 dimdual= 990 hull= 322 p= 3 dim= 3495 dimdual= 685 hull= 0 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4046 dimdual= 134 hull= 119 orbs no 24 of length 42 p= 2 dim= 3344 dimdual= 836 hull= 0 p= 3 dim= 3552 dimdual= 628 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 25 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 341 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 4047 dimdual= 133 hull= 56 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 26 of length 42 p= 2 dim= 3322 dimdual= 858 hull= 266 p= 3 dim= 3530 dimdual= 650 hull= 112 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3837 dimdual= 343 hull= 253 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 27 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 286 p= 3 dim= 3836 dimdual= 344 hull= 76 p= 5 dim= 4047 dimdual= 133 hull= 56 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 28 of length 42 p= 2 dim= 3039 dimdual= 1141 hull= 343 p= 3 dim= 3419 dimdual= 761 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4102 dimdual= 78 hull= 77 p= 11 dim= 3991 dimdual= 189 hull= 64 orbs no 29 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 152 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 30 of length 42 p= 2 dim= 3039 dimdual= 1141 hull= 191 p= 3 dim= 3419 dimdual= 761 hull= 76 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4102 dimdual= 78 hull= 0 p= 11 dim= 3991 dimdual= 189 hull= 64 orbs no 31 of length 42 p= 2 dim= 3248 dimdual= 932 hull= 152 p= 3 dim= 3419 dimdual= 761 hull= 133 p= 5 dim= 3914 dimdual= 266 hull= 56 p= 7 dim= 3862 dimdual= 318 hull= 89 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 32 of length 42 p= 2 dim= 3248 dimdual= 932 hull= 152 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3914 dimdual= 266 hull= 64 orbs no 33 of length 42 p= 2 dim= 3302 dimdual= 878 hull= 532 p= 3 dim= 3570 dimdual= 610 hull= 496 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 34 of length 42 p= 2 dim= 3172 dimdual= 1008 hull= 76 p= 3 dim= 3230 dimdual= 950 hull= 439 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 3970 dimdual= 210 hull= 120 p= 11 dim= 3927 dimdual= 253 hull= 0 orbs no 35 of length 42 p= 2 dim= 2866 dimdual= 1314 hull= 530 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4046 dimdual= 134 hull= 0 p= 11 dim= 3927 dimdual= 253 hull= 0 orbs no 36 of length 42 p= 2 dim= 3190 dimdual= 990 hull= 342 p= 3 dim= 3495 dimdual= 685 hull= 342 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4046 dimdual= 134 hull= 119 orbs no 37 of length 42 p= 2 dim= 3588 dimdual= 592 hull= 532 p= 3 dim= 3552 dimdual= 628 hull= 0 p= 5 dim= 3970 dimdual= 210 hull= 133 p= 7 dim= 4014 dimdual= 166 hull= 31 p= 11 dim= 3894 dimdual= 286 hull= 0 orbs no 38 of length 42 p= 2 dim= 2488 dimdual= 1692 hull= 552 p= 3 dim= 3286 dimdual= 894 hull= 0 p= 5 dim= 3970 dimdual= 210 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 39 of length 42 p= 2 dim= 3588 dimdual= 592 hull= 380 p= 3 dim= 3627 dimdual= 553 hull= 152 p= 5 dim= 4047 dimdual= 133 hull= 77 p= 7 dim= 4102 dimdual= 78 hull= 0 p= 11 dim= 4020 dimdual= 160 hull= 49 orbs no 40 of length 42 p= 2 dim= 2926 dimdual= 1254 hull= 134 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 41 of length 42 p= 2 dim= 3496 dimdual= 684 hull= 0 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 3817 dimdual= 363 hull= 209 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4060 dimdual= 120 hull= 56 orbs no 42 of length 42 p= 2 dim= 3076 dimdual= 1104 hull= 476 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3838 dimdual= 342 hull= 132 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 43 of length 21 p= 2 dim= 3894 dimdual= 286 hull= 266 p= 3 dim= 3475 dimdual= 705 hull= 0 p= 5 dim= 3970 dimdual= 210 hull= 154 p= 7 dim= 3817 dimdual= 363 hull= 197 p= 11 dim= 3963 dimdual= 217 hull= 69 orbs no 44 of length 42 p= 2 dim= 3588 dimdual= 592 hull= 532 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 3705 dimdual= 475 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4033 dimdual= 147 hull= 106 orbs no 45 of length 42 p= 2 dim= 3132 dimdual= 1048 hull= 684 p= 3 dim= 3552 dimdual= 628 hull= 0 p= 5 dim= 3665 dimdual= 515 hull= 0 p= 7 dim= 3860 dimdual= 320 hull= 31 p= 11 dim= 3886 dimdual= 294 hull= 69 orbs no 46 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3725 dimdual= 455 hull= 154 p= 5 dim= 4047 dimdual= 133 hull= 77 p= 7 dim= 4102 dimdual= 78 hull= 77 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 47 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 134 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3838 dimdual= 342 hull= 153 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 48 of length 42 p= 2 dim= 3532 dimdual= 648 hull= 76 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3937 dimdual= 243 hull= 31 p= 11 dim= 3984 dimdual= 196 hull= 133 orbs no 49 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4097 dimdual= 83 hull= 49 orbs no 50 of length 42 p= 2 dim= 3000 dimdual= 1180 hull= 248 p= 3 dim= 3552 dimdual= 628 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3969 dimdual= 211 hull= 210 p= 11 dim= 4060 dimdual= 120 hull= 56 orbs no 51 of length 42 p= 2 dim= 3189 dimdual= 991 hull= 573 p= 3 dim= 3268 dimdual= 912 hull= 76 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 52 of length 42 p= 2 dim= 3168 dimdual= 1012 hull= 798 p= 3 dim= 3836 dimdual= 344 hull= 76 p= 5 dim= 3971 dimdual= 209 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 53 of length 42 p= 2 dim= 3302 dimdual= 878 hull= 590 p= 3 dim= 3495 dimdual= 685 hull= 0 p= 5 dim= 3705 dimdual= 475 hull= 189 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 54 of length 42 p= 2 dim= 2882 dimdual= 1298 hull= 1026 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 55 of length 42 p= 2 dim= 3456 dimdual= 724 hull= 0 p= 3 dim= 3516 dimdual= 664 hull= 287 p= 5 dim= 3817 dimdual= 363 hull= 152 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 56 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3836 dimdual= 344 hull= 76 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3970 dimdual= 210 hull= 120 p= 11 dim= 3969 dimdual= 211 hull= 119 orbs no 57 of length 42 p= 2 dim= 3246 dimdual= 934 hull= 190 p= 3 dim= 3683 dimdual= 497 hull= 152 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 58 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 135 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4033 dimdual= 147 hull= 106 orbs no 59 of length 42 p= 2 dim= 3056 dimdual= 1124 hull= 1080 p= 3 dim= 3474 dimdual= 706 hull= 321 p= 5 dim= 4047 dimdual= 133 hull= 133 p= 7 dim= 3939 dimdual= 241 hull= 209 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 60 of length 42 p= 2 dim= 3132 dimdual= 1048 hull= 664 p= 3 dim= 3552 dimdual= 628 hull= 0 p= 5 dim= 3665 dimdual= 515 hull= 0 p= 7 dim= 3860 dimdual= 320 hull= 31 p= 11 dim= 3886 dimdual= 294 hull= 146 orbs no 61 of length 21 p= 2 dim= 3476 dimdual= 704 hull= 152 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4026 dimdual= 154 hull= 76 p= 7 dim= 4025 dimdual= 155 hull= 0 p= 11 dim= 3639 dimdual= 541 hull= 196 orbs no 62 of length 42 p= 2 dim= 2732 dimdual= 1448 hull= 874 p= 3 dim= 3419 dimdual= 761 hull= 418 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4014 dimdual= 166 hull= 31 p= 11 dim= 4040 dimdual= 140 hull= 69 orbs no 63 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 286 p= 3 dim= 3836 dimdual= 344 hull= 76 p= 5 dim= 4047 dimdual= 133 hull= 56 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 64 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 189 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3894 dimdual= 286 hull= 210 p= 7 dim= 3939 dimdual= 241 hull= 89 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 65 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4097 dimdual= 83 hull= 49 orbs no 66 of length 21 p= 2 dim= 3970 dimdual= 210 hull= 134 p= 3 dim= 3286 dimdual= 894 hull= 266 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 67 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 152 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 68 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3894 dimdual= 286 hull= 153 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3971 dimdual= 209 hull= 0 orbs no 69 of length 14 p= 2 dim= 1044 dimdual= 3136 hull= 76 p= 3 dim= 3971 dimdual= 209 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3983 dimdual= 197 hull= 56 orbs no 70 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3477 dimdual= 703 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3939 dimdual= 241 hull= 209 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 71 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 267 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3894 dimdual= 286 hull= 210 p= 7 dim= 3939 dimdual= 241 hull= 240 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 72 of length 42 p= 2 dim= 2732 dimdual= 1448 hull= 872 p= 3 dim= 3419 dimdual= 761 hull= 418 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4014 dimdual= 166 hull= 31 p= 11 dim= 4040 dimdual= 140 hull= 69 orbs no 73 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3894 dimdual= 286 hull= 153 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3971 dimdual= 209 hull= 0 orbs no 74 of length 42 p= 2 dim= 3286 dimdual= 894 hull= 134 p= 3 dim= 3398 dimdual= 782 hull= 112 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3729 dimdual= 451 hull= 240 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 75 of length 7 p= 2 dim= 3626 dimdual= 554 hull= 322 p= 3 dim= 4180 dimdual= 0 hull= 0 p= 5 dim= 3838 dimdual= 342 hull= 209 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 76 of length 42 p= 2 dim= 3114 dimdual= 1066 hull= 608 p= 3 dim= 3419 dimdual= 761 hull= 266 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 77 of length 42 p= 2 dim= 3266 dimdual= 914 hull= 378 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3970 dimdual= 210 hull= 120 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 78 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 134 p= 3 dim= 3418 dimdual= 762 hull= 418 p= 5 dim= 4047 dimdual= 133 hull= 77 p= 7 dim= 3774 dimdual= 406 hull= 271 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 79 of length 42 p= 2 dim= 3248 dimdual= 932 hull= 152 p= 3 dim= 3419 dimdual= 761 hull= 76 p= 5 dim= 3914 dimdual= 266 hull= 133 p= 7 dim= 3862 dimdual= 318 hull= 240 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 80 of length 42 p= 2 dim= 3248 dimdual= 932 hull= 0 p= 3 dim= 3477 dimdual= 703 hull= 0 p= 5 dim= 3761 dimdual= 419 hull= 133 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4040 dimdual= 140 hull= 69 orbs no 81 of length 42 p= 2 dim= 2488 dimdual= 1692 hull= 628 p= 3 dim= 3286 dimdual= 894 hull= 112 p= 5 dim= 3970 dimdual= 210 hull= 210 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 82 of length 42 p= 2 dim= 3248 dimdual= 932 hull= 0 p= 3 dim= 3551 dimdual= 629 hull= 152 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3927 dimdual= 253 hull= 0 orbs no 83 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3477 dimdual= 703 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3939 dimdual= 241 hull= 240 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 84 of length 42 p= 2 dim= 3000 dimdual= 1180 hull= 400 p= 3 dim= 3552 dimdual= 628 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 3969 dimdual= 211 hull= 0 p= 11 dim= 4060 dimdual= 120 hull= 56 orbs no 85 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 135 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4033 dimdual= 147 hull= 106 orbs no 86 of length 42 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 3725 dimdual= 455 hull= 154 p= 5 dim= 4047 dimdual= 133 hull= 77 p= 7 dim= 4102 dimdual= 78 hull= 77 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 87 of length 21 p= 2 dim= 3894 dimdual= 286 hull= 266 p= 3 dim= 3475 dimdual= 705 hull= 76 p= 5 dim= 3970 dimdual= 210 hull= 154 p= 7 dim= 3817 dimdual= 363 hull= 120 p= 11 dim= 3963 dimdual= 217 hull= 146 orbs no 88 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 286 p= 3 dim= 3836 dimdual= 344 hull= 76 p= 5 dim= 3838 dimdual= 342 hull= 132 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 89 of length 42 p= 2 dim= 3112 dimdual= 1068 hull= 476 p= 3 dim= 3628 dimdual= 552 hull= 76 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3817 dimdual= 363 hull= 120 p= 11 dim= 4040 dimdual= 140 hull= 69 orbs no 90 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 287 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4033 dimdual= 147 hull= 106 orbs no 91 of length 42 p= 2 dim= 3496 dimdual= 684 hull= 0 p= 3 dim= 3683 dimdual= 497 hull= 112 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 92 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 134 p= 3 dim= 3837 dimdual= 343 hull= 0 p= 5 dim= 3838 dimdual= 342 hull= 209 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 93 of length 42 p= 2 dim= 3496 dimdual= 684 hull= 152 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4025 dimdual= 155 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 94 of length 42 p= 2 dim= 3399 dimdual= 781 hull= 419 p= 3 dim= 3628 dimdual= 552 hull= 133 p= 5 dim= 4047 dimdual= 133 hull= 56 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 95 of length 42 p= 2 dim= 3189 dimdual= 991 hull= 573 p= 3 dim= 3268 dimdual= 912 hull= 76 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 96 of length 42 p= 2 dim= 3302 dimdual= 878 hull= 552 p= 3 dim= 3570 dimdual= 610 hull= 342 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 97 of length 42 p= 2 dim= 3076 dimdual= 1104 hull= 570 p= 3 dim= 3286 dimdual= 894 hull= 133 p= 5 dim= 3781 dimdual= 399 hull= 266 p= 7 dim= 4058 dimdual= 122 hull= 75 p= 11 dim= 3991 dimdual= 189 hull= 64 orbs no 98 of length 42 p= 2 dim= 2998 dimdual= 1182 hull= 210 p= 3 dim= 3627 dimdual= 553 hull= 285 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 99 of length 42 p= 2 dim= 3056 dimdual= 1124 hull= 948 p= 3 dim= 3474 dimdual= 706 hull= 245 p= 5 dim= 4047 dimdual= 133 hull= 133 p= 7 dim= 3939 dimdual= 241 hull= 209 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 100 of length 42 p= 2 dim= 3532 dimdual= 648 hull= 76 p= 3 dim= 3628 dimdual= 552 hull= 209 p= 5 dim= 4103 dimdual= 77 hull= 77 p= 7 dim= 3937 dimdual= 243 hull= 31 p= 11 dim= 3984 dimdual= 196 hull= 133 orbs no 101 of length 42 p= 2 dim= 3398 dimdual= 782 hull= 286 p= 3 dim= 3836 dimdual= 344 hull= 76 p= 5 dim= 3838 dimdual= 342 hull= 132 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 0 orbs no 102 of length 14 p= 2 dim= 3266 dimdual= 914 hull= 512 p= 3 dim= 3838 dimdual= 342 hull= 342 p= 5 dim= 3991 dimdual= 189 hull= 56 p= 7 dim= 4046 dimdual= 134 hull= 0 p= 11 dim= 4033 dimdual= 147 hull= 106 orbs no 103 of length 42 p= 2 dim= 2561 dimdual= 1619 hull= 649 p= 3 dim= 3495 dimdual= 685 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3971 dimdual= 209 hull= 209 orbs no 104 of length 42 p= 2 dim= 2561 dimdual= 1619 hull= 399 p= 3 dim= 3495 dimdual= 685 hull= 209 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3971 dimdual= 209 hull= 0 orbs no 105 of length 42 p= 2 dim= 3532 dimdual= 648 hull= 76 p= 3 dim= 3417 dimdual= 763 hull= 0 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4102 dimdual= 78 hull= 0 p= 11 dim= 4180 dimdual= 0 hull= 0 orbs no 106 of length 14 p= 2 dim= 3588 dimdual= 592 hull= 532 p= 3 dim= 3818 dimdual= 362 hull= 209 p= 5 dim= 4180 dimdual= 0 hull= 0 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 3971 dimdual= 209 hull= 0 orbs no 107 of length 14 p= 2 dim= 3608 dimdual= 572 hull= 0 p= 3 dim= 4180 dimdual= 0 hull= 0 p= 5 dim= 3838 dimdual= 342 hull= 209 p= 7 dim= 4179 dimdual= 1 hull= 0 p= 11 dim= 4103 dimdual= 77 hull= 77 Total time: 190794.279 seconds