| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/guarana/magma/exams/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 11.1.2022 mit Größe 902 kB |
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Quelle F_36_Aut2.m Sprache: unbekannt |
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F_36_Aut2 := PolycyclicGroup< g1, g2, g3, g4, g5, g6, g7, g8, g9, g10, g11, g12, g13, g14, g15, g16
g2^g1 = g3^-1, g2^g1^-1 = g2^3*g4^-1*g6^-3*g10^-3*g12^3*g19^-1*g23^3*g25^-3*g42^-4*g50^ 5*g52^6*g55^-9*g57^3*g95^7*g112^-7*g114^-6*g117^18*g124^-13*g126^-12*g129^ 15*g131^-3, g3^g1 = g4^-1, g3^g1^-1 = g2^-1, g3^g2 = g3*g5, g3^g2^-1 = g3*g5^-1*g8*g16^-1*g34*g35*g36^-1*g82^-1*g83^-3*g84^3*g85^ -1*g87, g4^g1 = g2^-1*g3^-3*g5^3*g8^-3*g9^-6*g16^3*g17^6*g18^10*g34^-3*g35^3*g36^ -9*g37^4*g38^-14*g39^-15*g82^3*g83^-9*g84^15*g85^-7*g87^17*g88^-9*g89^24*g90^ 21, g4^g1^-1 = g3^-1, g4^g2 = g4*g6, g4^g2^-1 = g4*g6^-1*g10*g19^-1*g40*g42*g50^-1*g91^-1*g95^-3*g112^3*g114^ -1*g124, g4^g3 = g4*g7, g4^g3^-1 = g4*g7^-1*g14*g30^-1*g71*g72*g77^-1*g169^-1*g171^-3*g185^3*g186^ -1*g193, g5^g1 = g7*g14^-1*g15^-1*g30*g32*g33*g71^-1*g77^-1*g80^-1*g81^ -1*g169*g185*g193*g196*g197, g5^g1^-1 = g6^-1*g10^-2*g12*g19^-1*g23^2*g25^-1*g42^-2*g50^3*g52*g55^ -3*g57*g95^3*g112^-3*g114*g117^3*g124^-5*g126^-2*g129^4*g131^-1, g5^g2 = g5*g8, g5^g2^-1 = g5*g8^-1*g16*g34^-1*g82, g5^g3 = g5*g9, g5^g3^-1 = g5*g9^-1*g18*g39^-1*g90, g5^g4 = g5*g11*g13^-1*g20^-1*g21*g27^-1*g28^-1*g29*g31*g41*g43^-1*g47*g53^ -1*g59*g61^-1*g63^-1*g64*g68*g69*g70^-1*g73^-1*g74*g75*g76^-1*g79^-1*g92^ -1*g93*g98^-1*g103^-1*g106^2*g115*g119^-1*g121^-1*g127*g133^-1*g135*g138*g142^ -1*g145*g149*g153^-1*g157^-1*g159*g162^-1*g163*g166^-1*g167^-1*g168*g170*g173^ -1*g174^-1*g179*g181*g182^-1*g183^-1*g187*g189*g190^-1*g191^-1*g195, g5^g4^-1 = g5*g11^-1*g13*g20*g21^-1*g24*g27*g28^-1*g29^-1*g41^-1*g43*g51^ -1*g53*g56^-1*g59^-1*g61*g65^-1*g66*g68^-1*g69*g70*g92*g93^-1*g103*g106^ -2*g113*g115^-1*g118*g119*g121^-1*g130*g133*g135^-1*g138*g142^-1*g145*g147^ -1*g150^-1*g153^-1*g154*g155^-1*g157*g159^-1*g161*g164^-1*g166*g167^-1*g168^ -1*g170^-1*g172*g178^2*g184*g189^-1, g6^g1 = g5^-1*g8*g9*g16^-1*g17^-1*g18^-1*g34*g35*g37*g39*g82^-1*g83^ -3*g84^2*g85^-2*g87*g88^-2*g89*g90^-1, g6^g1^-1 = g5^-3*g7^-1*g8^-3*g9^3*g13^-3*g14*g15*g16^-1*g17^3*g18^-3*g26^ -3*g29^3*g30^-1*g31^3*g32^-1*g33^-1*g35^-4*g36^5*g37^6*g38^-9*g39^3*g58^ -1*g59^-3*g61^6*g62^-3*g63^-3*g65^3*g68^6*g70^-6*g71*g72*g73^3*g76^-3*g78*g79^ -3*g81*g83^7*g84^-7*g85^-6*g86^18*g87^-13*g88^-12*g89^15*g90^-3*g133^7*g135^ -15*g136^6*g140^9*g141^-6*g143^-3*g144^3*g145^-3*g146^3*g150^3*g151^-3*g152^ 3*g154^-3*g157^-3*g159^6*g160^-3*g161^-3*g163^3*g165^-3*g166^-3*g168^6*g169^ -1*g170^6*g171^-3*g172*g181^-3*g184^-3*g185^2*g186^-2*g187^3*g189^ -3*g193*g194^-2*g195^3*g196*g197^-1, g6^g2 = g6*g10, g6^g2^-1 = g6*g10^-1*g19*g40^-1*g91, g6^g3 = g6*g11, g6^g3^-1 = g6*g11^-1*g22*g49^-1*g111, g6^g4 = g6*g12, g6^g4^-1 = g6*g12^-1*g25*g57^-1*g131, g6^g5 = g6*g20^-1*g21*g41*g43^-1*g46*g48^-1*g92^-1*g93*g102^-1*g103^ -1*g104*g106^2*g108^-1*g110*g119^-1*g147*g172^-1, g6^g5^-1 = g6*g20*g21^-1*g41^-1*g43*g46^-1*g48*g92*g93^-1*g97*g99^ -1*g103*g106^-2*g108*g110^-1*g119*g147^-1*g172, g7^g1 = g6^-1*g7^-3*g10*g12*g13^3*g14^6*g15^3*g19^-1*g23^-1*g25^-1*g26^ -3*g28^-3*g29^-6*g30^-10*g32^-6*g33^-3*g40*g42*g52*g57*g58^3*g60^6*g63^6*g64^ -6*g65^-6*g67^6*g69^6*g70^10*g71^15*g72^14*g73^3*g75^6*g77^-4*g78^6*g79^ -3*g81^3*g91^-1*g95^-3*g112^2*g114^-2*g124*g126^-2*g129*g131^-1*g132^-3*g134^ -6*g137^3*g139^-3*g145^-6*g146^-6*g147^3*g150^6*g151^6*g152^-12*g153^3*g154^ 12*g156^-6*g158^-6*g161^6*g163^-6*g164^-6*g165^-10*g167^-10*g168^-15*g169^ -21*g170^-16*g171^-53*g172^-3*g174^-3*g177^3*g179^-3*g180^-3*g184^16*g185^ 38*g186^-24*g187^-3*g191^-3*g192^3*g193^14*g194^-12*g195^3*g196^6*g197^-3, g7^g1^-1 = g5*g8^-1*g9^-1*g16*g17*g18*g34^-1*g36^-1*g38^-1*g39^ -1*g82*g84*g87*g89*g90, g7^g2 = g7*g13, g7^g2^-1 = g7*g13^-1*g26*g58^-1*g132, g7^g3 = g7*g14, g7^g3^-1 = g7*g14^-1*g30*g71^-1*g169, g7^g4 = g7*g15, g7^g4^-1 = g7*g15^-1*g33*g81^-1*g197, g7^g5 = g7*g27^-1*g29*g59*g61^-1*g68*g70^-1*g133^-1*g135*g157^ -1*g159*g161^-1*g163*g166^-1*g168*g170*g184^-1, g7^g5^-1 = g7*g27*g29^-1*g59^-1*g61*g68^-1*g70*g133*g135^-1*g141*g143^ -1*g161*g163^-1*g166*g168^-1*g170^-1*g184, g7^g6 = g7*g28^-1*g31*g60*g64^-1*g75*g79^-1*g134^-1*g137*g174^-1*g177^ -1*g178*g179*g187*g191^-1*g192^-1*g195, g7^g6^-1 = g7*g28*g31^-1*g60^-1*g64*g75^-1*g79*g134*g137^-1*g149*g153^ -1*g177*g179^-1*g187^-1*g191*g192*g195^-1, g8^g1 = g14^-1*g30^2*g32*g71^-3*g77^-2*g80^-1*g169^4*g185^3*g186^-1*g188^ 2*g193*g196, g8^g1^-1 = g10^-3*g12*g19^-9*g23^8*g25^-2*g40^-10*g50^19*g52^-1*g55^ -12*g57^3*g91^-5*g95^2*g112^18*g114^-5*g117^6*g124^-30*g126^3*g129^15*g131^-4, g8^g2 = g8*g16, g8^g2^-1 = g8*g16^-1*g34*g82^-1, g8^g3 = g8*g17*g35*g36^-1*g37*g38^-1*g83^-2*g84^2*g85^-2*g86^2*g88^-1*g89, g8^g3^-1 = g8*g17^-1*g35^-1*g36*g38*g83^2*g84^-2*g85^4*g86^-5*g87*g89^-1, g8^g4 = g8*g20^-1*g21^2*g26^-1*g41^2*g43^-4*g45^2*g46*g47*g48^-1*g53^ -1*g60^-1*g61^-1*g64*g67*g92^-3*g93^6*g96^-3*g97^-1*g98^-2*g99*g102^ -2*g103*g104^4*g106*g107^-2*g108^-1*g110*g115^2*g119^-2*g121^ -1*g127*g133*g135^-1*g137*g142^-1*g147^-1*g149*g150*g153^-1*g158*g159*g162^ -1*g165^-1, g8^g4^-1 = g8*g20*g21^-2*g26*g41^-2*g43^4*g45^-2*g46^-1*g47*g48*g51^ -1*g53*g60^-1*g61*g64*g67^-1*g73^-1*g92^3*g93^-6*g96^3*g97*g98^-1*g99^-1*g102^ 2*g103^2*g104^-4*g106^-3*g107^2*g108*g110^-1*g113^2*g115^-3*g118*g119^ 3*g120*g121^-3*g122^-1*g127*g133^-1*g135*g139*g142^-1*g145*g147^-2*g149*g153^ -3*g158*g159^-1*g162^-1*g165*g172^2*g174^-1*g175^-1*g178^4*g181*g189^-1, g8^g5 = g8*g35^-1*g36*g83^2*g84^-2*g85*g87^-1, g8^g5^-1 = g8*g35*g36^-1*g83^-2*g84^2*g85^-1*g87, g8^g6 = g8*g41^-1*g43^2*g45^-1*g92^2*g93^-4*g96^2*g97*g99^-1*g104^-1*g107, g8^g6^-1 = g8*g41*g43^-2*g45*g92^-2*g93^4*g96^-2*g97^-1*g99*g104*g107^-1, g8^g7 = g8*g59^-1*g61^2*g67^-1*g133^2*g135^-4*g140^2*g141*g143^-1*g159^ -1*g165, g8^g7^-1 = g8*g59*g61^-2*g67*g133^-2*g135^4*g140^-2*g141^ -1*g143*g159*g165^-1, g9^g1 = g15^-1*g32*g33^2*g77^-1*g78^-1*g80^-1*g81^-3*g185*g186*g193*g194^ 3*g197^4, g9^g1^-1 = g10*g19*g23^-1*g42*g50^-2*g55*g95^-1*g112*g114^-2*g117*g124^ 2*g129^-1, g9^g2 = g9*g17, g9^g2^-1 = g9*g17^-1*g36*g84^-1, g9^g3 = g9*g18, g9^g3^-1 = g9*g18^-1*g39*g90^-1, g9^g4 = g9*g22*g27^-2*g29*g44^-1*g46*g59*g61^-1*g62^-2*g63^-1*g65^-1*g68^ 4*g69*g70^-2*g74^2*g76^-1*g94*g97^-1*g105*g108^-2*g109*g110*g122^-1*g133^ -1*g135*g136*g138*g142^-1*g143^-1*g145*g146^-3*g150*g151*g157^-2*g159^2*g160^ 3*g161^3*g162^-1*g163*g166^-6*g167^-2*g168^3*g173^-1*g175^-1*g176^ 2*g177*g179*g181*g182^-4*g183^-1*g184^2*g190^-2*g192, g9^g4^-1 = g9*g22^-1*g27^2*g29^-1*g44*g46^-1*g54*g59^-1*g61*g62^2*g63^ -1*g65^-1*g68^-4*g69*g70^2*g94^-1*g97*g105^-1*g108^2*g110^-1*g116^ -1*g120*g128^-1*g133*g135^-1*g136^-1*g138*g142^-1*g143*g145*g146^-1*g150^ -1*g151^-1*g152^2*g157^2*g159^-2*g160^-3*g161^3*g163*g164^-1*g166^6*g167^ -2*g168^-3*g170^-1*g177*g179^-1*g184*g187^-1*g192, g9^g5 = g9*g37^-1*g38*g85*g86^-1*g88*g89^-1, g9^g5^-1 = g9*g37*g38^-1*g85^-1*g86*g88^-1*g89, g9^g6 = g9*g44*g46^-2*g48*g94^-1*g97*g102*g104^-1*g105^-2*g108^4*g110^-2, g9^g6^-1 = g9*g44^-1*g46^2*g48^-1*g94*g97^-1*g102^-1*g104*g105^2*g108^ -4*g110^2, g9^g7 = g9*g62*g68^-2*g70*g136^-1*g141*g157*g159^-1*g160^-2*g166^4*g168^ -2, g9^g7^-1 = g9*g62^-1*g68^2*g70^-1*g136*g141^-1*g157^-1*g159*g160^2*g166^ -4*g168^2, g9^g8 = g9*g85*g86^-2*g87, g9^g8^-1 = g9*g85^-1*g86^2*g87^-1, g10^g1 = g9*g17^-1*g18^-2*g36*g37^2*g39^3*g84^-1*g85^-2*g88^-6*g89^3*g90^ -4, g10^g1^-1 = g8^-9*g11^3*g13^-6*g15*g16^-18*g17^9*g20^-6*g21^18*g22^-3*g24^ -3*g26^-24*g27^3*g28^6*g29^3*g31^6*g32^-1*g33^-2*g34^-15*g35^-18*g36^36*g38^ -9*g41^10*g43^-36*g44^6*g45^45*g47^-3*g48^-18*g49^3*g51^6*g53^-15*g54^3*g56^ 3*g58^-38*g59^-15*g60^6*g61^36*g62^-3*g63^-9*g64^15*g65^3*g66^-6*g67^3*g70^ -3*g73^18*g74^3*g75^-3*g76^-9*g77*g78^2*g79^-9*g81^3*g82^-6*g83^6*g84^9*g85^ 45*g86^-36*g87^-27*g89^9*g92^-15*g93^60*g94^-10*g96^-90*g98^4*g99^36*g100^ -6*g101^60*g103^-11*g106^7*g107^-45*g109^3*g110^18*g111^-3*g113^-10*g115^ 32*g116^-6*g118^-6*g119^-41*g121^12*g122^15*g123^-3*g127^6*g128^-3*g130^ -3*g132^-30*g133^19*g134^2*g135^-72*g136^15*g137^17*g138^12*g139^-6*g140^ 90*g141^-9*g142^-18*g143^-27*g144^3*g145^-18*g146^15*g147^19*g149^-3*g150^ 3*g151^-9*g152^18*g153^-6*g154^-12*g155^6*g156*g157^9*g159^-9*g161^-6*g163^ 6*g165^-3*g168^3*g170^9*g172^20*g173^3*g175^-3*g176^-3*g177^9*g178^-27*g179^ -9*g180^3*g181^-18*g183^3*g185^-1*g186^-2*g189^-12*g190^-3*g191^3*g192^ 12*g194^-6*g195^12*g196^3*g197^-4, g10^g2 = g10*g19, g10^g2^-1 = g10*g19^-1*g40*g91^-1, g10^g3 = g10*g20, g10^g3^-1 = g10*g20^-1*g44*g100^-1, g10^g4 = g10*g23*g42*g50^-1*g52*g55^-1*g95^-2*g112^2*g114^-2*g117^2*g126^ -1*g129, g10^g4^-1 = g10*g23^-1*g42^-1*g50*g55*g95^2*g112^-2*g114^4*g117^ -5*g124*g129^-1, g10^g5 = g10*g41^-1*g43*g92*g93^-1*g97*g99^-1, g10^g5^-1 = g10*g41*g43^-1*g92^-1*g93*g97^-1*g99, g10^g6 = g10*g42^-1*g50*g95^2*g112^-2*g114*g124^-1, g10^g6^-1 = g10*g42*g50^-1*g95^-2*g112^2*g114^-1*g124, g10^g7 = g10*g60^-1*g64^2*g73^-1*g134^2*g137^-4*g147^2*g149*g153^-1*g178^ -1*g189, g10^g7^-1 = g10*g60*g64^-2*g73*g134^-2*g137^4*g147^-2*g149^ -1*g153*g178*g189^-1, g10^g8 = g10*g92*g93^-2*g96, g10^g8^-1 = g10*g92^-1*g93^2*g96^-1, g10^g9 = g10*g94^-1*g97^2*g99^-1, g10^g9^-1 = g10*g94*g97^-2*g99, g11^g1 = g11*g13^-1*g21^-1*g22^-1*g24^ -1*g26*g27*g28*g45*g46*g47*g49*g54*g56*g58^-1*g59^-1*g60^-1*g62^-1*g63^ -1*g64*g66^-1*g73^-1*g101^-1*g102^-1*g103^-1*g105^-1*g109^-1*g111^-1*g120^ -1*g121^-2*g122*g123^-1*g127*g128^-1*g130^-1*g132*g133*g134*g136*g137^ -1*g138*g139*g144*g145*g146^2*g149*g150^-2*g151^-1*g152^2*g153^-2*g154^ -1*g155*g161^-1*g163*g170*g172*g174^-1*g175*g177*g178^2*g179^-1*g184^-1*g187^ -1*g192, g11^g1^-1 = g8^3*g13*g17^-3*g26^2*g29^-1*g31^-1*g34*g35^6*g36^-6*g38^ 3*g58*g59^3*g61^-6*g63*g65^-1*g67*g70*g73^-2*g76*g79*g82^-1*g83^-14*g84^ 13*g85^-15*g86^12*g87^3*g89^-3*g133^3*g135^-6*g136^-3*g140^3*g141^3*g143^ 3*g145^2*g146^-1*g150^-2*g151*g152^-1*g154*g156^-1*g157^-3*g159^3*g165^ -1*g168^-1*g170^-1*g172^-1*g173^-3*g175^6*g177^-1*g179*g181^-1*g189^2*g192^ -1*g195^-1, g11^g2 = g11*g21, g11^g2^-1 = g11*g21^-1*g45*g101^-1, g11^g3 = g11*g22, g11^g3^-1 = g11*g22^-1*g49*g111^-1, g11^g4 = g11*g24*g28^-1*g31*g60*g64^-1*g65^-1*g66^-1*g69*g74*g75^3*g76^ -1*g79^-2*g118*g121^-1*g125^-1*g127*g134^-1*g137*g138*g139*g148^-1*g149^ -1*g152^-1*g153^-1*g158^-1*g162*g163*g164*g167^-1*g174^-2*g178^4*g179^3*g180^ 2*g182^-1*g183^-3*g184*g187^2*g189^-1*g190^-2*g191^-5*g195^3, g11^g4^-1 = g11*g24^-1*g28*g31^-1*g56*g60^-1*g64*g65*g66^-1*g69^-1*g74^ -1*g76*g79*g118^-1*g121*g125*g127^-1*g130^-1*g134*g137^-1*g138^ -1*g139*g148*g149^-1*g153*g154^-1*g155*g158*g162^-1*g163^ -1*g164*g167*g174*g177*g178^-3*g179^-1*g182*g184^-1*g187^-1*g189*g190*g195^-1, g11^g5 = g11*g46^-1*g48*g102*g104^-1*g108*g110^-1, g11^g5^-1 = g11*g46*g48^-1*g102^-1*g104*g108^-1*g110, g11^g6 = g11*g47^-1*g53*g64^-1*g73*g103*g106^-1*g121*g127^-1*g137*g147^ -1*g149^-1*g150^-1*g153*g162*g174*g175*g181^-1*g189^-1, g11^g6^-1 = g11*g47*g53^-1*g64*g73^-1*g103^-1*g106*g121^-1*g127*g137^ -1*g147*g149*g150*g153^-1*g162^-1*g174^-1*g175^-1*g181*g189, g11^g7 = g11*g65*g69^-1*g74^-1*g76*g138^-1*g148*g158*g162^-1*g163^ -1*g167*g179^-1*g182*g183*g184^-1*g190*g192^-1, g11^g7^-1 = g11*g65^-1*g69*g74*g76^-1*g138*g148^-1*g158^-1*g162*g163*g167^ -1*g179*g182^-1*g183^-1*g184*g190^-1*g192, g11^g8 = g11*g102*g104^-2*g107, g11^g8^-1 = g11*g102^-1*g104^2*g107^-1, g11^g9 = g11*g105^-1*g108^2*g110^-1, g11^g9^-1 = g11*g105*g108^-2*g110, g11^g10 = g11*g103*g106^-2*g119*g147^-1*g172, g11^g10^-1 = g11*g103^-1*g106^2*g119^-1*g147*g172^-1, g12^g1 = g8*g9^3*g16^-2*g17^-7*g18^-9*g34^3*g35*g36^10*g37^9*g38^10*g39^ 19*g82^-4*g83^-4*g84^-11*g85^-11*g86^-8*g87^-10*g88^-38*g89^-1*g90^-34, g12^g1^-1 = g9^3*g14*g17^3*g18^-6*g27^3*g30^-2*g32^-1*g35^4*g36^-3*g37^ 3*g38^-9*g39^9*g59^3*g62^-6*g68^3*g70^-3*g71^3*g72*g74^-3*g77*g80*g83^-6*g84^ 6*g85^-23*g86^30*g87^-9*g88^-9*g89^18*g90^-12*g133*g136^-6*g141^9*g143^ -9*g144^9*g146^3*g151^-3*g157^-6*g159^9*g160^-6*g161^-3*g163^3*g165^-3*g166^ 3*g168^3*g169^-4*g170^3*g171^-4*g173^-3*g176^6*g182^-3*g185*g186^-2*g188*g190^ 3*g193^-1*g196^-1, g12^g2 = g12*g23, g12^g2^-1 = g12*g23^-1*g50*g112^-1, g12^g3 = g12*g24, g12^g3^-1 = g12*g24^-1*g54*g123^-1, g12^g4 = g12*g25, g12^g4^-1 = g12*g25^-1*g57*g131^-1, g12^g5 = g12*g51^-1*g53*g113*g115^-1*g120*g122^-1, g12^g5^-1 = g12*g51*g53^-1*g113^-1*g115*g120^-1*g122, g12^g6 = g12*g52^-1*g55*g114*g117^-1*g126*g129^-1, g12^g6^-1 = g12*g52*g55^-1*g114^-1*g117*g126^-1*g129, g12^g7 = g12*g66*g75^-2*g79*g139^-1*g149*g174*g178^-1*g180^-2*g191^4*g195^ -2, g12^g7^-1 = g12*g66^-1*g75^2*g79^-1*g139*g149^-1*g174^-1*g178*g180^2*g191^ -4*g195^2, g12^g8 = g12*g113*g115^-2*g119, g12^g8^-1 = g12*g113^-1*g115^2*g119^-1, g12^g9 = g12*g116^-1*g120^2*g122^-1, g12^g9^-1 = g12*g116*g120^-2*g122, g12^g10 = g12*g114*g117^-2*g124, g12^g10^-1 = g12*g114^-1*g117^2*g124^-1, g12^g11 = g12*g118^-1*g121*g125*g127^-1*g153*g178^-2*g189, g12^g11^-1 = g12*g118*g121^-1*g125^-1*g127*g153^-1*g178^2*g189^-1, g13^g1 = g11*g14^3*g20^-1*g22^-1*g24^-1*g27^-3*g30^-9*g32^ -3*g41*g44*g47*g49*g51*g53^-1*g54*g56*g59^3*g62^3*g64*g68^6*g69^3*g71^19*g72^ 6*g73^-1*g74^3*g76^-3*g77^3*g80^3*g92^-1*g94^-1*g98^-1*g100^-1*g103^ -1*g106*g109^-1*g111^-1*g113^-1*g115*g116^-1*g121^-2*g122*g123^-1*g125^ -1*g127^2*g128^-1*g130^-1*g133^-3*g136^-3*g142^-3*g144^-3*g145^3*g146^-6*g147^ -1*g149*g150^-1*g151^6*g153^-2*g157^-6*g160^-6*g161^9*g162^-3*g163^-12*g164^ -3*g166^-10*g167^-6*g169^-34*g170^-6*g171^-32*g172*g173^-3*g174^-1*g175*g176^ -3*g178^2*g181^3*g182^-3*g184^12*g185^13*g186^-15*g188^12*g190^-3*g192^3*g193^ -6*g196^-3, g13^g1^-1 = g8^3*g11^-1*g13*g17^-3*g21^-2*g22*g24*g26^2*g27^-1*g28^ -1*g34*g38^3*g45^-1*g47^-1*g48^2*g49^-1*g53^3*g54^-1*g56^-1*g58*g60*g61^ -2*g62*g63*g64^-4*g66*g73*g82^-1*g84^-1*g85^3*g86^-6*g87^3*g89^-3*g103*g106^ -3*g107*g109*g110^-2*g111*g119^3*g121^2*g122^-3*g123*g127^-4*g128*g130*g134^ -1*g137^4*g139^-1*g140^-1*g142^-1*g143^2*g144^-1*g145^3*g146^-2*g147^-6*g149^ -1*g150*g151*g152^-2*g153^5*g154*g155^-1*g161*g163^-1*g170^-1*g172^ 2*g174*g175^-1*g177^-1*g178^-2*g179*g184*g187*g192^-1, g13^g2 = g13*g26, g13^g2^-1 = g13*g26^-1*g58*g132^-1, g13^g3 = g13*g27, g13^g3^-1 = g13*g27^-1*g62*g144^-1, g13^g4 = g13*g28, g13^g4^-1 = g13*g28^-1*g66*g155^-1, g13^g5 = g13*g59^-1*g61*g133*g135^-1*g141*g143^-1, g13^g5^-1 = g13*g59*g61^-1*g133^-1*g135*g141^-1*g143, g13^g6 = g13*g60^-1*g64*g134*g137^-1*g149*g153^-1, g13^g6^-1 = g13*g60*g64^-1*g134^-1*g137*g149^-1*g153, g13^g7 = g13*g63^-1*g65*g146*g151^-1*g152*g154^-1*g161^-1*g163*g170*g184^ -1, g13^g7^-1 = g13*g63*g65^-1*g146^-1*g151*g152^-1*g154*g161*g163^-1*g170^ -1*g184, g13^g8 = g13*g133*g135^-2*g140, g13^g8^-1 = g13*g133^-1*g135^2*g140^-1, g13^g9 = g13*g136^-1*g141^2*g143^-1, g13^g9^-1 = g13*g136*g141^-2*g143, g13^g10 = g13*g134*g137^-2*g147, g13^g10^-1 = g13*g134^-1*g137^2*g147^-1, g13^g11 = g13*g138^-1*g142*g145^-1*g148, g13^g11^-1 = g13*g138*g142^-1*g145*g148^-1, g13^g12 = g13*g139^-1*g149^2*g153^-1, g13^g12^-1 = g13*g139*g149^-2*g153, g14^g1 = g12*g15^3*g23^-1*g25^-2*g28^-3*g32^-6*g33^-6*g50*g52^2*g57^3*g60^ 3*g66^3*g69^6*g72^4*g75^6*g77^6*g78^12*g79^-3*g81^9*g112^-1*g114^-2*g126^ -6*g129^3*g131^-4*g134^-3*g139^-3*g149^-3*g152^-6*g153^3*g154^6*g155^-3*g158^ -6*g164^-6*g167^-10*g171^-18*g174^-3*g177^3*g178^-3*g179^-3*g180^-9*g183^ -12*g185^3*g186^-32*g187^3*g188^12*g189^3*g192^3*g194^-36*g195^3*g196^18*g197^ -12, g14^g1^-1 = g8^-1*g16^2*g17*g34^-3*g36^-2*g38^-1*g82^4*g84^3*g85^-1*g86^ 2*g87*g89, g14^g2 = g14*g29, g14^g2^-1 = g14*g29^-1*g67*g156^-1, g14^g3 = g14*g30, g14^g3^-1 = g14*g30^-1*g71*g169^-1, g14^g4 = g14*g32*g72*g77^-1*g78*g80^-1*g171^-2*g185^2*g186^-2*g188^2*g194^ -1*g196, g14^g4^-1 = g14*g32^-1*g72^-1*g77*g80*g171^2*g185^-2*g186^4*g188^ -5*g193*g196^-1, g14^g5 = g14*g68^-1*g70*g157*g159^-1*g166*g168^-1, g14^g5^-1 = g14*g68*g70^-1*g157^-1*g159*g166^-1*g168, g14^g6 = g14*g69^-1*g76*g158*g162^-1*g170*g183*g184^-1*g192^-1, g14^g6^-1 = g14*g69*g76^-1*g158^-1*g162*g170^-1*g183^-1*g184*g192, g14^g7 = g14*g72^-1*g77*g171^2*g185^-2*g186*g193^-1, g14^g7^-1 = g14*g72*g77^-1*g171^-2*g185^2*g186^-1*g193, g14^g8 = g14*g157*g159^-2*g165, g14^g8^-1 = g14*g157^-1*g159^2*g165^-1, g14^g9 = g14*g160^-1*g166^2*g168^-1, g14^g9^-1 = g14*g160*g166^-2*g168, g14^g10 = g14*g158*g162^-2*g181, g14^g10^-1 = g14*g158^-1*g162^2*g181^-1, g14^g11 = g14*g163^-1*g167*g170^-1*g182, g14^g11^-1 = g14*g163*g167^-1*g170*g182^-1, g14^g12 = g14*g164^-1*g183^2*g187^-1, g14^g12^-1 = g14*g164*g183^-2*g187, g14^g13 = g14*g161*g163^-1*g170^-1*g184, g14^g13^-1 = g14*g161^-1*g163*g170*g184^-1, g15^g1 = g10*g11^3*g13^3*g14^9*g19^-2*g20^-3*g21^-3*g22^-6*g23^-1*g24^ -3*g26^-6*g27^-9*g29^-15*g30^-36*g31^-3*g32^-9*g40^3*g41^3*g42*g43^3*g44^ 6*g45^3*g47^3*g48^6*g49^10*g50*g51^3*g54^6*g55*g56^3*g58^9*g59^9*g60^3*g61^ 9*g62^18*g63^6*g65^-6*g67^21*g68^18*g69^9*g70^46*g71^96*g72^18*g73^3*g74^ 9*g76^6*g77^18*g79^3*g80^9*g91^-4*g92^-3*g93^-3*g94^-6*g95^-4*g96^-3*g98^ -3*g99^-6*g100^-10*g101^-3*g103^-3*g107^-6*g109^-6*g110^-10*g111^ -15*g112*g113^-3*g114^-2*g116^-6*g117*g121^-6*g123^-10*g124^-1*g125^-3*g127^ 3*g128^-6*g129^-1*g130^-3*g132^-12*g133^-9*g134^-3*g135^-9*g136^-18*g137^ -3*g138^-9*g139^-3*g140^-9*g143^-18*g144^-30*g145^-12*g146^-24*g148^9*g149^ 6*g150^3*g151^24*g152^-6*g153^-6*g154^6*g156^-27*g157^-18*g158^-6*g159^ -18*g160^-36*g161^15*g162^-9*g163^-42*g164^-9*g165^-56*g166^-30*g167^-9*g168^ -111*g169^-210*g170^-47*g171^-114*g172^-3*g173^-9*g174^-6*g176^-18*g177^ -9*g178^9*g179^9*g181^-6*g182^9*g184^10*g185^18*g186^-45*g187^3*g188^36*g189^ -6*g190^-9*g192^-9*g193^-27*g195^-3*g196^-9, g15^g1^-1 = g9^-1*g17*g18^2*g36^-1*g37^-1*g38^-1*g39^-3*g84*g85*g87*g88^ 3*g90^4, g15^g2 = g15*g31, g15^g2^-1 = g15*g31^-1*g73*g172^-1, g15^g3 = g15*g32, g15^g3^-1 = g15*g32^-1*g77*g185^-1, g15^g4 = g15*g33, g15^g4^-1 = g15*g33^-1*g81*g197^-1, g15^g5 = g15*g74^-1*g76*g173*g175^-1*g182*g184^-1, g15^g5^-1 = g15*g74*g76^-1*g173^-1*g175*g182^-1*g184, g15^g6 = g15*g75^-1*g79*g174*g178^-1*g191*g195^-1, g15^g6^-1 = g15*g75*g79^-1*g174^-1*g178*g191^-1*g195, g15^g7 = g15*g78^-1*g80*g186*g188^-1*g194*g196^-1, g15^g7^-1 = g15*g78*g80^-1*g186^-1*g188*g194^-1*g196, g15^g8 = g15*g173*g175^-2*g181, g15^g8^-1 = g15*g173^-1*g175^2*g181^-1, g15^g9 = g15*g176^-1*g182^2*g184^-1, g15^g9^-1 = g15*g176*g182^-2*g184, g15^g10 = g15*g174*g178^-2*g189, g15^g10^-1 = g15*g174^-1*g178^2*g189^-1, g15^g11 = g15*g179^-1*g183*g187^-1*g190, g15^g11^-1 = g15*g179*g183^-1*g187*g190^-1, g15^g12 = g15*g180^-1*g191^2*g195^-1, g15^g12^-1 = g15*g180*g191^-2*g195, g15^g13 = g15*g177*g179^-1*g187^-1*g192, g15^g13^-1 = g15*g177^-1*g179*g187*g192^-1, g15^g14 = g15*g186*g188^-2*g193, g15^g14^-1 = g15*g186^-1*g188^2*g193^-1, g16^g1 = g30*g71^-3*g77^-1*g169^6*g185^3*g193, g16^g1^-1 = g19^-9*g23^6*g25^-1*g40^-36*g42^12*g50^33*g52^-8*g55^-12*g57^ 3*g91^-60*g95^50*g112^78*g114^-58*g117^15*g124^-66*g126^30*g129^12*g131^-6, g16^g2 = g16*g34, g16^g2^-1 = g16*g34^-1*g82, g16^g3 = g16*g35, g16^g3^-1 = g16*g35^-1*g85^3*g86^-3*g87, g16^g4 = g16*g41*g43^-3*g45^3*g58^-1*g92^-3*g93^9*g96^-9*g97^-1*g98^ -1*g99*g101^3*g103^2*g104^2*g106^-1*g107^-2*g115*g119^-1*g134^-1*g137*g140^ -1*g147^-1*g156*g172, g16^g4^-1 = g16*g41^-1*g43^3*g45^-3*g58*g92^3*g93^-9*g96^9*g97*g98^-1*g99^ -1*g101^-3*g103^2*g104^-2*g106^-1*g107^2*g113*g115^-2*g119^2*g134^ -1*g137*g140*g147^-1*g156^-1, g16^g5 = g16*g83^-1*g84, g16^g5^-1 = g16*g83*g84^-1, g16^g6 = g16*g92*g93^-3*g96^3*g101^-1, g16^g6^-1 = g16*g92^-1*g93^3*g96^-3*g101, g16^g7 = g16*g133*g135^-3*g140^3*g156^-1, g16^g7^-1 = g16*g133^-1*g135^3*g140^-3*g156, g16^g8 = g16, g16^g8^-1 = g16, g16^g9 = g16, g16^g9^-1 = g16, g16^g10 = g16, g16^g10^-1 = g16, g16^g11 = g16, g16^g11^-1 = g16, g16^g12 = g16, g16^g12^-1 = g16, g16^g13 = g16, g16^g13^-1 = g16, g16^g14 = g16, g16^g14^-1 = g16, g16^g15 = g16, g16^g15^-1 = g16, g17^g1 = g32*g77^-2*g80^-2*g185^3*g188*g193^3*g196^3, g17^g1^-1 = g19^3*g23^-1*g40^6*g42^-2*g50^-5*g52*g55*g91^4*g95^-1*g112^ -11*g114^6*g117^-2*g124^7*g126^-3, g17^g2 = g17*g36, g17^g2^-1 = g17*g36^-1*g84, g17^g3 = g17*g37, g17^g3^-1 = g17*g37^-1*g88^2*g89^-1, g17^g4 = g17*g44^-1*g46^2*g61^-2*g67*g94^2*g97^-3*g99^-1*g102^-1*g104^ 4*g105^2*g107^-1*g108^-4*g109*g110^2*g122^-1*g135*g140^-1*g142^-2*g143^ -2*g145*g150*g158*g159^4*g162^-1*g165^-2, g17^g4^-1 = g17*g44*g46^-2*g61^2*g67^-1*g94^-2*g97^3*g99*g102*g104^ -4*g105^-2*g107*g108^4*g109*g110^-2*g116^-1*g120^2*g122^-1*g135^-1*g140*g142^ -2*g143^2*g145*g150*g158*g159^-4*g162^-1*g165^2*g175^-2*g181, g17^g5 = g17*g85^-1*g86, g17^g5^-1 = g17*g85*g86^-1, g17^g6 = g17*g94^-1*g97^2*g104^-2*g107, g17^g6^-1 = g17*g94*g97^-2*g104^2*g107^-1, g17^g7 = g17*g136^-1*g141^2*g159^-2*g165, g17^g7^-1 = g17*g136*g141^-2*g159^2*g165^-1, g17^g8 = g17, g17^g8^-1 = g17, g17^g9 = g17, g17^g9^-1 = g17, g17^g10 = g17, g17^g10^-1 = g17, g17^g11 = g17, g17^g11^-1 = g17, g17^g12 = g17, g17^g12^-1 = g17, g17^g13 = g17, g17^g13^-1 = g17, g17^g14 = g17, g17^g14^-1 = g17, g17^g15 = g17, g17^g15^-1 = g17, g17^g16 = g17, g17^g16^-1 = g17, g18^g1 = g33*g78^-1*g81^-3*g186*g194^5*g196^-2*g197^6, g18^g1^-1 = g19^-1*g50*g95^-1*g112*g124^-1, g18^g2 = g18*g38, g18^g2^-1 = g18*g38^-1*g87, g18^g3 = g18*g39, g18^g3^-1 = g18*g39^-1*g90, g18^g4 = g18*g49*g62^-3*g68^3*g70^-1*g100^-1*g105*g136^2*g141^-2*g144^ -3*g146^-3*g157^-1*g159*g160^9*g161^3*g166^-9*g167^-1*g168^3*g170^-1*g176^ 3*g182^-3*g184^2, g18^g4^-1 = g18*g49^-1*g62^3*g68^-3*g70*g100*g105^-1*g123*g136^-2*g141^ 2*g144^3*g146^-3*g157*g159^-1*g160^-9*g161^3*g166^9*g167^-1*g168^-3*g170^ -1*g184, g18^g5 = g18*g88^-1*g89, g18^g5^-1 = g18*g88*g89^-1, g18^g6 = g18*g100*g105^-3*g108^3*g110^-1, g18^g6^-1 = g18*g100^-1*g105^3*g108^-3*g110, g18^g7 = g18*g144*g160^-3*g166^3*g168^-1, g18^g7^-1 = g18*g144^-1*g160^3*g166^-3*g168, g18^g8 = g18, g18^g8^-1 = g18, g18^g9 = g18, g18^g9^-1 = g18, g18^g10 = g18, g18^g10^-1 = g18, g18^g11 = g18, g18^g11^-1 = g18, g18^g12 = g18, g18^g12^-1 = g18, g18^g13 = g18, g18^g13^-1 = g18, g18^g14 = g18, g18^g14^-1 = g18, g18^g15 = g18, g18^g15^-1 = g18, g18^g16 = g18, g18^g16^-1 = g18, g18^g17 = g18, g18^g17^-1 = g18, g19^g1 = g18^-1*g37*g39^3*g85^-1*g88^-6*g89^3*g90^-6, g19^g1^-1 = g16^-27*g20^-9*g21^27*g24^-3*g26^-27*g28^9*g33^-1*g34^-81*g36^ 27*g41^36*g43^-135*g44^9*g45^189*g46^-9*g47^-27*g48^-18*g51^15*g53^-27*g54^ 3*g56^6*g58^-135*g60^36*g61^18*g63^-3*g64^27*g65^-3*g66^-18*g67^9*g69^-3*g73^ 27*g74^3*g76^-3*g78*g79^-9*g81^3*g82^-108*g83^-54*g84^135*g87^-27*g92^-96*g93^ 414*g94^-36*g96^-702*g97^18*g98^59*g99^117*g100^-9*g101^576*g102^45*g103^ -103*g104^-135*g105^9*g106^-37*g107^-99*g109^27*g110^18*g113^-46*g115^ 130*g116^-15*g118^-39*g119^-157*g120^9*g121^108*g122^18*g123^-3*g125^18*g127^ -27*g128^-6*g130^-9*g132^-288*g133^-27*g134^57*g135^-9*g137^103*g138^12*g139^ -45*g140^153*g142^-45*g143^-18*g145^-21*g146^6*g147^86*g148^9*g149^-54*g150^ -6*g152^24*g153^27*g154^-9*g155^27*g156^18*g158^-3*g161^-3*g162^-9*g163^ 3*g164^3*g165^-9*g167^3*g170^3*g172^81*g173^-6*g174^27*g175^9*g176^-3*g177^ 9*g178^-162*g179^-18*g181^-30*g183^9*g186^-1*g187^-6*g189^18*g191^9*g192^ 15*g194^-6*g195^18*g196^3*g197^-6, g19^g2 = g19*g40, g19^g2^-1 = g19*g40^-1*g91, g19^g3 = g19*g41, g19^g3^-1 = g19*g41^-1*g94, g19^g4 = g19*g42, g19^g4^-1 = g19*g42^-1*g114^3*g117^-3*g124, g19^g5 = g19*g92^-1*g93, g19^g5^-1 = g19*g92*g93^-1, g19^g6 = g19*g95^-1*g112, g19^g6^-1 = g19*g95*g112^-1, g19^g7 = g19*g134*g137^-3*g147^3*g172^-1, g19^g7^-1 = g19*g134^-1*g137^3*g147^-3*g172, g19^g8 = g19, g19^g8^-1 = g19, g19^g9 = g19, g19^g9^-1 = g19, g19^g10 = g19, g19^g10^-1 = g19, g19^g11 = g19, g19^g11^-1 = g19, g19^g12 = g19, g19^g12^-1 = g19, g19^g13 = g19, g19^g13^-1 = g19, g19^g14 = g19, g19^g14^-1 = g19, g19^g15 = g19, g19^g15^-1 = g19, g19^g16 = g19, g19^g16^-1 = g19, g19^g17 = g19, g19^g17^-1 = g19, g19^g18 = g19, g19^g18^-1 = g19, g20^g1 = g22^-1*g27^2*g29^-1*g46*g49^2*g54*g59^-1*g61^-1*g62^-4*g63^ -1*g65^-1*g67*g68^2*g69*g102^-1*g105^-1*g108^-2*g109^-1*g110*g111^-3*g120^ -1*g122*g123^-2*g128^-1*g133*g136*g138*g140*g141^4*g142*g143^-1*g144^6*g146^ 5*g150^-2*g151^-1*g152^2*g156^-1*g157^-2*g158^-1*g160^-3*g161^ -3*g162*g163*g164^-1*g170*g175^2*g177*g179^-1*g181^-1*g184^-1*g187^-1*g192, g20^g1^-1 = g16^9*g21^-3*g26^6*g31^-1*g34^9*g36^-9*g43^6*g45^-15*g48^ 3*g53^3*g58^18*g61^-3*g64^-6*g67^-3*g73^-5*g76*g79^2*g82^6*g83^18*g84^-27*g87^ 9*g93^-10*g96^30*g99^-6*g101^-30*g106^3*g107^15*g110^-3*g115^-6*g119^12*g122^ -3*g127^-3*g132^20*g135^15*g137^-6*g140^-33*g143^3*g145^9*g147^-9*g150^ -3*g153^6*g165^3*g172^-13*g175^-3*g178^3*g181^8*g184^-1*g187^-2*g189^7*g195^ -3, g20^g2 = g20*g43, g20^g2^-1 = g20*g43^-1*g96, g20^g3 = g20*g44, g20^g3^-1 = g20*g44^-1*g100, g20^g4 = g20*g51*g60*g64^-2*g73*g98*g103*g106^-2*g115^-1*g118*g119*g125^ -1*g134^-2*g137^3*g138*g139*g147^-1*g148^-2*g149^-3*g153*g158^-1*g162^ 2*g173*g178^3*g181^-1*g189^-2, g20^g4^-1 = g20*g51^-1*g60^-1*g64^2*g73^-1*g98^-1*g103^-1*g106^ 2*g115*g119^-1*g125*g134^2*g137^-3*g138^-1*g139*g147*g148^2*g149^-1*g153^ -1*g158*g162^-2*g173^-1*g174*g178^-1*g181*g189, g20^g5 = g20*g97^-1*g99, g20^g5^-1 = g20*g97*g99^-1, g20^g6 = g20*g98^-1*g115*g137*g147^-2*g172, g20^g6^-1 = g20*g98*g115^-1*g137^-1*g147^2*g172^-1, g20^g7 = g20*g138^-1*g148^2*g158*g162^-2*g173^-1*g181, g20^g7^-1 = g20*g138*g148^-2*g158^-1*g162^2*g173*g181^-1, g20^g8 = g20, g20^g8^-1 = g20, g20^g9 = g20, g20^g9^-1 = g20, g20^g10 = g20, g20^g10^-1 = g20, g20^g11 = g20, g20^g11^-1 = g20, g20^g12 = g20, g20^g12^-1 = g20, g20^g13 = g20, g20^g13^-1 = g20, g20^g14 = g20, g20^g14^-1 = g20, g20^g15 = g20, g20^g15^-1 = g20, g20^g16 = g20, g20^g16^-1 = g20, g20^g17 = g20, g20^g17^-1 = g20, g20^g18 = g20, g20^g18^-1 = g20, g20^g19 = g20, g20^g19^-1 = g20, g21^g1 = g22^-1*g27*g46*g49^2*g54*g59^-1*g62^-2*g65^-1*g102^-1*g105^ -2*g109^-1*g111^-3*g120^-1*g122*g123^-2*g128^-1*g133*g136^2*g138*g144^ 3*g146*g150^-2*g151*g154*g162*g175^2*g181^-1, g21^g1^-1 = g16^9*g20^3*g21^-6*g26^6*g28^-1*g34^9*g36^-9*g41^-6*g43^ 21*g44^-3*g45^-24*g46^3*g47^3*g48^3*g51^-3*g53^3*g58^18*g60^-5*g61^-3*g66*g67^ -3*g69*g73^-6*g75*g82^6*g83^18*g84^-27*g87^9*g92^10*g93^-40*g94^6*g96^60*g98^ -3*g99^-21*g100^3*g101^-40*g102^-15*g103^6*g104^33*g105^-3*g107^6*g109^ -3*g110^-3*g113^6*g115^-18*g116^3*g118^3*g119^18*g120^-3*g121^-9*g127^3*g132^ 20*g133^9*g134^-1*g135^-3*g137^-15*g138^-3*g139^5*g140^-24*g142^9*g143^3*g149^ 3*g150^-3*g152^-1*g153^-6*g154*g155^-1*g158^-1*g162^3*g164^-1*g165^3*g167^ -1*g172^-12*g174^-1*g175^3*g177^-1*g178^15*g179*g180^-1*g181^3*g183^ -1*g187*g191^-1*g192^-1, g21^g2 = g21*g45, g21^g2^-1 = g21*g45^-1*g101, g21^g3 = g21*g46, g21^g3^-1 = g21*g46^-1*g105, g21^g4 = g21*g47, g21^g4^-1 = g21*g47^-1*g118^-1*g121^3*g125*g127^-2*g149^-2*g153^3*g174^ 2*g178^-5*g189^2, g21^g5 = g21*g102^-1*g104, g21^g5^-1 = g21*g102*g104^-1, g21^g6 = g21*g103^-1*g106, g21^g6^-1 = g21*g103*g106^-1, g21^g7 = g21*g138^-1*g142*g145^-1*g148*g150*g162^-1*g175^-1*g181, g21^g7^-1 = g21*g138*g142^-1*g145*g148^-1*g150^-1*g162*g175*g181^-1, g21^g8 = g21, g21^g8^-1 = g21, g21^g9 = g21, g21^g9^-1 = g21, g21^g10 = g21, g21^g10^-1 = g21, g21^g11 = g21, g21^g11^-1 = g21, g21^g12 = g21, g21^g12^-1 = g21, g21^g13 = g21, g21^g13^-1 = g21, g21^g14 = g21, g21^g14^-1 = g21, g21^g15 = g21, g21^g15^-1 = g21, g21^g16 = g21, g21^g16^-1 = g21, g21^g17 = g21, g21^g17^-1 = g21, g21^g18 = g21, g21^g18^-1 = g21, g21^g19 = g21, g21^g19^-1 = g21, g21^g20 = g21, g21^g20^-1 = g21, g22^g1 = g24^-1*g28^2*g31^-1*g47*g54*g56^2*g60^-2*g63^-1*g64*g65^-1*g66^ -4*g74*g75^2*g103^-1*g109^-1*g118*g120^-1*g121^-5*g122*g123^-1*g125^-1*g127^ 3*g128^-2*g130^-3*g134^2*g137^-1*g138*g139^4*g142*g146^2*g148*g149*g150^ -2*g152^5*g153^-5*g154^-1*g155^6*g161^-1*g163*g170*g173^-1*g174^-3*g175*g176^ -1*g177^2*g178^8*g179^-4*g180^-3*g184^-1*g187^-3*g189^-3*g192^3, g22^g1^-1 = g16^-3*g26^-1*g34^3*g36^3*g58^-1*g67*g73*g82^-4*g83^-6*g84^ 3*g87^-3*g135^-3*g140^6*g145^-1*g150*g156^-2*g165^-1*g172*g181^-1*g189^-1, g22^g2 = g22*g48, g22^g2^-1 = g22*g48^-1*g107, g22^g3 = g22*g49, g22^g3^-1 = g22*g49^-1*g111, g22^g4 = g22*g54*g65^-2*g69*g74^2*g76^-1*g138^2*g148^-2*g151^-2*g152^ -1*g154^-1*g158^-1*g162*g163^4*g164*g167^-2*g170*g176^2*g177*g179^5*g182^ -4*g183^-3*g184*g187*g190^-4*g192, g22^g4^-1 = g22*g54^-1*g65^2*g69^-1*g74^-2*g76*g128*g138^-2*g148^2*g151^ 2*g152^-1*g154^-1*g158*g162^-1*g163^-4*g164*g167^2*g170^-1*g176^-2*g177*g179^ -1*g182^4*g184^-1*g190^2*g192^-1, g22^g5 = g22*g108^-1*g110, g22^g5^-1 = g22*g108*g110^-1, g22^g6 = g22*g109^-1*g122*g150^-2*g162*g175^2*g181^-1, g22^g6^-1 = g22*g109*g122^-1*g150^2*g162^-1*g175^-2*g181, g22^g7 = g22*g151*g163^-2*g167*g170^-1*g176^-1*g182^2, g22^g7^-1 = g22*g151^-1*g163^2*g167^-1*g170*g176*g182^-2, g22^g8 = g22, g22^g8^-1 = g22, g22^g9 = g22, g22^g9^-1 = g22, g22^g10 = g22, g22^g10^-1 = g22, g22^g11 = g22, g22^g11^-1 = g22, g22^g12 = g22, g22^g12^-1 = g22, g22^g13 = g22, g22^g13^-1 = g22, g22^g14 = g22, g22^g14^-1 = g22, g22^g15 = g22, g22^g15^-1 = g22, g22^g16 = g22, g22^g16^-1 = g22, g22^g17 = g22, g22^g17^-1 = g22, g22^g18 = g22, g22^g18^-1 = g22, g22^g19 = g22, g22^g19^-1 = g22, g22^g20 = g22, g22^g20^-1 = g22, g22^g21 = g22, g22^g21^-1 = g22, g23^g1 = g17^-1*g18^-3*g35*g36*g37^7*g38*g39^12*g83^-4*g84*g85^-15*g86^ 4*g87^-2*g88^-42*g89^15*g90^-31, g23^g1^-1 = g17^9*g22^-3*g27^6*g32^-1*g36^18*g38^-18*g44^6*g46^-9*g48^ -9*g49^6*g54^3*g59^-3*g61^36*g62^-12*g63^-6*g65^-3*g67^-9*g68^6*g69^3*g70^ -6*g72*g76^-6*g77*g78*g80*g83^12*g84^3*g86^9*g87^-45*g89^27*g94^-10*g97^ 18*g99^18*g100^-12*g102^-9*g104^-27*g105^18*g107^-9*g108^-9*g109^3*g110^ 27*g111^-9*g116^-6*g120^9*g122^6*g123^-6*g128^-3*g133^11*g135^-18*g136^6*g140^ 63*g142^-9*g143^-72*g144^18*g145^-15*g146^27*g150^-6*g151^-9*g152^12*g154^ -3*g156^-18*g157^-3*g158^3*g159^36*g160^-9*g161^-18*g162^6*g163^9*g164^ -3*g165^-15*g167^3*g168^9*g170^15*g171^-4*g175^-15*g177^9*g179^-6*g181^ -3*g184^-3*g185*g186^-6*g187^-3*g188^4*g192^12*g193^-2*g194^-3, g23^g2 = g23*g50, g23^g2^-1 = g23*g50^-1*g112, g23^g3 = g23*g51, g23^g3^-1 = g23*g51^-1*g116, g23^g4 = g23*g52, g23^g4^-1 = g23*g52^-1*g126^2*g129^-1, g23^g5 = g23*g113^-1*g115, g23^g5^-1 = g23*g113*g115^-1, g23^g6 = g23*g114^-1*g117, g23^g6^-1 = g23*g114*g117^-1, g23^g7 = g23*g139^-1*g149^2*g178^-2*g189, g23^g7^-1 = g23*g139*g149^-2*g178^2*g189^-1, g23^g8 = g23, g23^g8^-1 = g23, g23^g9 = g23, g23^g9^-1 = g23, g23^g10 = g23, g23^g10^-1 = g23, g23^g11 = g23, g23^g11^-1 = g23, g23^g12 = g23, g23^g12^-1 = g23, g23^g13 = g23, g23^g13^-1 = g23, g23^g14 = g23, g23^g14^-1 = g23, g23^g15 = g23, g23^g15^-1 = g23, g23^g16 = g23, g23^g16^-1 = g23, g23^g17 = g23, g23^g17^-1 = g23, g23^g18 = g23, g23^g18^-1 = g23, g23^g19 = g23, g23^g19^-1 = g23, g23^g20 = g23, g23^g20^-1 = g23, g23^g21 = g23, g23^g21^-1 = g23, g23^g22 = g23, g23^g22^-1 = g23, g24^g1 = g20*g21^-2*g22^-3*g26*g27^6*g29^-3*g43^-2*g44^-4*g45^4*g46^ 10*g47*g48*g49^9*g51^-1*g53*g54^3*g58^-2*g59^-3*g60^-1*g61^-10*g62^-21*g63^ -3*g64*g65^-3*g67^6*g68^15*g69^3*g70^-3*g73^-1*g96^3*g97^4*g98*g99^4*g100^ 10*g101^-6*g102^-8*g103^-2*g104^-12*g105^-28*g106^-1*g107*g108^9*g109^-7*g110^ -10*g111^-19*g115*g116^4*g118*g119^-1*g120^-10*g121^-3*g122^6*g123^ -9*g127*g128^-3*g132^3*g133^4*g134^2*g135^2*g136^6*g137^-2*g138^3*g139*g140^ 14*g141^18*g142^10*g143^19*g144^49*g145^-3*g146^24*g149*g150^-10*g151^-3*g152^ 6*g153^-3*g156^-9*g157^-12*g158^-6*g159^-18*g160^-42*g161^-18*g162^6*g163^ 3*g164^-3*g165^6*g166^13*g167^3*g168^-1*g170^6*g172^2*g174^-1*g175^13*g177^ 3*g178^4*g179^-3*g181^-6*g184^-6*g187^-3*g189^-1*g192^3, g24^g1^-1 = g17^-3*g29^-1*g38^6*g61^-3*g67*g70^2*g76*g83^-4*g84^3*g86^ -3*g87^3*g89^-9*g135^-3*g140^3*g143^6*g156^-1*g159^-3*g165*g168^-3*g170^ -1*g175^3*g181^-1*g184^-1*g192^-1, g24^g2 = g24*g53, g24^g2^-1 = g24*g53^-1*g119, g24^g3 = g24*g54, g24^g3^-1 = g24*g54^-1*g123, g24^g4 = g24*g56*g66^-1*g75^2*g79^-1*g139*g149^-1*g154^-1*g155^ -1*g164*g174^-1*g178*g179^2*g180^5*g183^-2*g187*g190^-1*g191^-7*g195^3, g24^g4^-1 = g24*g56^-1*g66*g75^-2*g79*g130*g139^-1*g149*g154*g155^-1*g164^ -1*g174*g178^-1*g179^-2*g183^2*g187^-1*g190*g191^3*g195^-2, g24^g5 = g24*g120^-1*g122, g24^g5^-1 = g24*g120*g122^-1, g24^g6 = g24*g121^-1*g127*g153^-1*g178^2*g189^-1, g24^g6^-1 = g24*g121*g127^-1*g153*g178^-2*g189, g24^g7 = g24*g154*g164^-1*g179^-2*g183^2*g187^-1*g190, g24^g7^-1 = g24*g154^-1*g164*g179^2*g183^-2*g187*g190^-1, g24^g8 = g24, g24^g8^-1 = g24, g24^g9 = g24, g24^g9^-1 = g24, g24^g10 = g24, g24^g10^-1 = g24, g24^g11 = g24, g24^g11^-1 = g24, g24^g12 = g24, g24^g12^-1 = g24, g24^g13 = g24, g24^g13^-1 = g24, g24^g14 = g24, g24^g14^-1 = g24, g24^g15 = g24, g24^g15^-1 = g24, g24^g16 = g24, g24^g16^-1 = g24, g24^g17 = g24, g24^g17^-1 = g24, g24^g18 = g24, g24^g18^-1 = g24, g24^g19 = g24, g24^g19^-1 = g24, g24^g20 = g24, g24^g20^-1 = g24, g24^g21 = g24, g24^g21^-1 = g24, g24^g22 = g24, g24^g22^-1 = g24, g24^g23 = g24, g24^g23^-1 = g24, g25^g1 = g16^-1*g17^-6*g18^-9*g34^3*g35^3*g36^16*g37^24*g38^21*g39^45*g82^ -6*g83^-16*g84^-23*g85^-57*g86^-12*g87^-40*g88^-179*g89^6*g90^-141, g25^g1^-1 = g18^-3*g30^-1*g37^-3*g39^9*g62^-3*g71^3*g77*g85^-9*g86^12*g87^ -4*g88^9*g90^-18*g136^-3*g144^9*g160^-3*g166^3*g169^-6*g171^-1*g176^3*g185^ -2*g193^-1, g25^g2 = g25*g55, g25^g2^-1 = g25*g55^-1*g124, g25^g3 = g25*g56, g25^g3^-1 = g25*g56^-1*g128, g25^g4 = g25*g57, g25^g4^-1 = g25*g57^-1*g131, g25^g5 = g25*g125^-1*g127, g25^g5^-1 = g25*g125*g127^-1, g25^g6 = g25*g126^-1*g129, g25^g6^-1 = g25*g126*g129^-1, g25^g7 = g25*g155*g180^-3*g191^3*g195^-1, g25^g7^-1 = g25*g155^-1*g180^3*g191^-3*g195, g25^g8 = g25, g25^g8^-1 = g25, g25^g9 = g25, g25^g9^-1 = g25, g25^g10 = g25, g25^g10^-1 = g25, g25^g11 = g25, g25^g11^-1 = g25, g25^g12 = g25, g25^g12^-1 = g25, g25^g13 = g25, g25^g13^-1 = g25, g25^g14 = g25, g25^g14^-1 = g25, g25^g15 = g25, g25^g15^-1 = g25, g25^g16 = g25, g25^g16^-1 = g25, g25^g17 = g25, g25^g17^-1 = g25, g25^g18 = g25, g25^g18^-1 = g25, g25^g19 = g25, g25^g19^-1 = g25, g25^g20 = g25, g25^g20^-1 = g25, g25^g21 = g25, g25^g21^-1 = g25, g25^g22 = g25, g25^g22^-1 = g25, g25^g23 = g25, g25^g23^-1 = g25, g25^g24 = g25, g25^g24^-1 = g25, g26^g1 = g22^-1*g30^-3*g44*g49^2*g54*g62^3*g71^12*g77^3*g94^-1*g100^ -2*g109^-1*g111^-3*g116^-1*g122*g123^-2*g128^-1*g136^-3*g144^-6*g150^-2*g160^ -6*g162*g163^-3*g169^-31*g171^-6*g175^2*g176^-3*g181^-1*g182^3*g185^-6*g193^ -3, g26^g1^-1 = g16^9*g20^3*g21^-9*g24*g26^6*g28^-2*g31*g34^9*g36^-9*g41^ -6*g43^21*g44^-3*g45^-33*g46^3*g47^5*g48^6*g51^-3*g53^9*g54^-1*g56^-2*g58^ 18*g60^-4*g61^-6*g63*g64^-7*g65*g66^4*g74^-1*g75^-2*g82^6*g84^-9*g87^9*g92^ 10*g93^-40*g94^6*g96^60*g97^-6*g98^-3*g99^-15*g100^3*g101^-50*g102^3*g103^ 7*g104^9*g105^-3*g106^3*g107^21*g109^-5*g110^-6*g113^6*g115^-18*g116^3*g118^ 5*g119^33*g120^-3*g121^-16*g122^-6*g123*g125^-2*g127^-3*g128^2*g130^3*g132^ 20*g133^-3*g134^-2*g135^6*g137^-8*g138^-1*g139^2*g140^-21*g142^5*g143^6*g145^ 6*g146^-2*g147^-21*g148*g149^11*g152^-5*g153^2*g154*g155^-6*g161*g163^-1*g170^ -1*g172^3*g174^-6*g176*g177^-2*g178^13*g179^4*g180^3*g184*g187^3*g189^-6*g192^ -3, g26^g2 = g26*g58, g26^g2^-1 = g26*g58^-1*g132, g26^g3 = g26*g59, g26^g3^-1 = g26*g59^-1*g136, g26^g4 = g26*g60, g26^g4^-1 = g26*g60^-1*g139, g26^g5 = g26*g133^-1*g135, g26^g5^-1 = g26*g133*g135^-1, g26^g6 = g26*g134^-1*g137, g26^g6^-1 = g26*g134*g137^-1, g26^g7 = g26*g145^-1*g150, g26^g7^-1 = g26*g145*g150^-1, g26^g8 = g26, g26^g8^-1 = g26, g26^g9 = g26, g26^g9^-1 = g26, g26^g10 = g26, g26^g10^-1 = g26, g26^g11 = g26, g26^g11^-1 = g26, g26^g12 = g26, g26^g12^-1 = g26, g26^g13 = g26, g26^g13^-1 = g26, g26^g14 = g26, g26^g14^-1 = g26, g26^g15 = g26, g26^g15^-1 = g26, g26^g16 = g26, g26^g16^-1 = g26, g26^g17 = g26, g26^g17^-1 = g26, g26^g18 = g26, g26^g18^-1 = g26, g26^g19 = g26, g26^g19^-1 = g26, g26^g20 = g26, g26^g20^-1 = g26, g26^g21 = g26, g26^g21^-1 = g26, g26^g22 = g26, g26^g22^-1 = g26, g26^g23 = g26, g26^g23^-1 = g26, g26^g24 = g26, g26^g24^-1 = g26, g26^g25 = g26, g26^g25^-1 = g26, g27^g1 = g24^-1*g28*g31^-1*g32^-3*g51*g54*g56^2*g63^3*g64^-1*g65^-1*g66^ -2*g72^6*g73*g74*g75^2*g77^3*g78^3*g80^3*g113^-1*g116^-1*g118^-1*g121^-1*g123^ -1*g125^-1*g127*g128^-2*g130^-3*g138^-3*g145^-3*g146^-6*g147*g148*g149^2*g150^ 3*g151^4*g152^-5*g153^-1*g154^4*g155^3*g161^-3*g163^-3*g164^-3*g170^-3*g171^ -32*g172^-1*g173^-1*g174^-2*g176^-1*g177^-6*g178^2*g179*g180^-3*g183^3*g184^ 3*g185^13*g186^-36*g187^2*g188^30*g189^-1*g192^-2*g193^-12*g194^-9, g27^g1^-1 = g16^-3*g21*g26^-1*g34^3*g36^3*g45*g48^-1*g53^-1*g58^ -1*g61*g64*g82^-4*g84^-3*g87^-3*g106*g107^-1*g110*g119^-2*g122*g127*g137^ -1*g140*g143^-1*g145^-1*g147^3*g153^-1*g172^-1, g27^g2 = g27*g61, g27^g2^-1 = g27*g61^-1*g140, g27^g3 = g27*g62, g27^g3^-1 = g27*g62^-1*g144, g27^g4 = g27*g63, g27^g4^-1 = g27*g63^-1*g152^2*g154^-1*g177*g179^-1*g187^-1*g192, g27^g5 = g27*g141^-1*g143, g27^g5^-1 = g27*g141*g143^-1, g27^g6 = g27*g142^-1*g145, g27^g6^-1 = g27*g142*g145^-1, g27^g7 = g27*g146^-1*g151*g161*g163^-1*g170^-1*g184, g27^g7^-1 = g27*g146*g151^-1*g161^-1*g163*g170*g184^-1, g27^g8 = g27, g27^g8^-1 = g27, g27^g9 = g27, g27^g9^-1 = g27, g27^g10 = g27, g27^g10^-1 = g27, g27^g11 = g27, g27^g11^-1 = g27, g27^g12 = g27, g27^g12^-1 = g27, g27^g13 = g27, g27^g13^-1 = g27, g27^g14 = g27, g27^g14^-1 = g27, g27^g15 = g27, g27^g15^-1 = g27, g27^g16 = g27, g27^g16^-1 = g27, g27^g17 = g27, g27^g17^-1 = g27, g27^g18 = g27, g27^g18^-1 = g27, g27^g19 = g27, g27^g19^-1 = g27, g27^g20 = g27, g27^g20^-1 = g27, g27^g21 = g27, g27^g21^-1 = g27, g27^g22 = g27, g27^g22^-1 = g27, g27^g23 = g27, g27^g23^-1 = g27, g27^g24 = g27, g27^g24^-1 = g27, g27^g25 = g27, g27^g25^-1 = g27, g27^g26 = g27, g27^g26^-1 = g27, g28^g1 = g21^-1*g22^-3*g29^-3*g30^-9*g43*g44^3*g45*g48^4*g49^9*g53*g54^ 3*g61^3*g62^9*g67^3*g70^18*g71^45*g76^3*g77^9*g93^-1*g94^-3*g96^-1*g99^ -4*g100^-9*g101^-1*g106^-1*g107^-4*g109^-3*g110^-10*g111^-19*g115^-1*g116^ -3*g122^-1*g123^-9*g127^-1*g128^-3*g135^-3*g136^-9*g140^-3*g143^-12*g144^ -27*g147^-1*g150^-6*g156^-3*g159^-6*g160^-18*g163^-9*g165^-18*g168^-64*g169^ -141*g170^-6*g171^-18*g172*g175^3*g176^-9*g181^-3*g182^9*g184^-12*g185^ -27*g192^-3*g193^-9, g28^g1^-1 = g17^-3*g22*g27^-1*g35^-3*g36^3*g37^3*g38^3*g46^2*g49^-2*g54^ -1*g59^-2*g62^2*g65*g83^4*g84^-5*g85^12*g86^-15*g87^3*g88^-9*g102*g105^ -2*g108^-2*g109*g111^3*g120^-2*g122^-1*g123^2*g128*g133^-1*g136^2*g138^ -1*g141^2*g144^-3*g146^-1*g148^3*g150^2*g151^-1*g154^-1*g162^-1*g175^-2*g181, g28^g2 = g28*g64, g28^g2^-1 = g28*g64^-1*g147, g28^g3 = g28*g65, g28^g3^-1 = g28*g65^-1*g151, g28^g4 = g28*g66, g28^g4^-1 = g28*g66^-1*g155, g28^g5 = g28*g148^-1*g150, g28^g5^-1 = g28*g148*g150^-1, g28^g6 = g28*g149^-1*g153, g28^g6^-1 = g28*g149*g153^-1, g28^g7 = g28*g152^-1*g154, g28^g7^-1 = g28*g152*g154^-1, g28^g8 = g28, g28^g8^-1 = g28, g28^g9 = g28, g28^g9^-1 = g28, g28^g10 = g28, g28^g10^-1 = g28, g28^g11 = g28, g28^g11^-1 = g28, g28^g12 = g28, g28^g12^-1 = g28, g28^g13 = g28, g28^g13^-1 = g28, g28^g14 = g28, g28^g14^-1 = g28, g28^g15 = g28, g28^g15^-1 = g28, g28^g16 = g28, g28^g16^-1 = g28, g28^g17 = g28, g28^g17^-1 = g28, g28^g18 = g28, g28^g18^-1 = g28, g28^g19 = g28, g28^g19^-1 = g28, g28^g20 = g28, g28^g20^-1 = g28, g28^g21 = g28, g28^g21^-1 = g28, g28^g22 = g28, g28^g22^-1 = g28, g28^g23 = g28, g28^g23^-1 = g28, g28^g24 = g28, g28^g24^-1 = g28, g28^g25 = g28, g28^g25^-1 = g28, g28^g26 = g28, g28^g26^-1 = g28, g28^g27 = g28, g28^g27^-1 = g28, g29^g1 = g24^-1*g32^-3*g51*g54*g56^2*g65^3*g77^9*g80^6*g113^-1*g116^ -1*g118^-2*g123^-1*g128^-2*g130^-3*g138^-3*g151^-3*g154^-3*g163^-6*g171^ -4*g179^-6*g185^-15*g188^-12*g190^3*g193^-6*g196^-9, g29^g1^-1 = g16^-3*g20^-1*g21^2*g26^-1*g34^3*g36^3*g43^-1*g44*g45^2*g46^ -1*g47^-1*g48^-1*g51*g53^-1*g58^-1*g60*g61*g64^-1*g73*g82^-4*g84^-3*g87^ -3*g98^-1*g99*g100^-1*g102^-1*g103^2*g104*g105*g106^-2*g107^-2*g109*g110*g115^ 2*g116^-1*g118^-1*g119^-2*g120*g121^3*g127^-1*g133*g134^-2*g135^-2*g137^ 5*g139^-1*g140^2*g142^-1*g143^-1*g147^-3*g149^-1*g150*g153^3*g172*g174*g175^ -1*g178^-4*g189, g29^g2 = g29*g67, g29^g2^-1 = g29*g67^-1*g156, g29^g3 = g29*g68, g29^g3^-1 = g29*g68^-1*g160, g29^g4 = g29*g69, g29^g4^-1 = g29*g69^-1*g164, g29^g5 = g29*g157^-1*g159, g29^g5^-1 = g29*g157*g159^-1, g29^g6 = g29*g158^-1*g162, g29^g6^-1 = g29*g158*g162^-1, g29^g7 = g29*g161^-1*g163, g29^g7^-1 = g29*g161*g163^-1, g29^g8 = g29, g29^g8^-1 = g29, g29^g9 = g29, g29^g9^-1 = g29, g29^g10 = g29, g29^g10^-1 = g29, g29^g11 = g29, g29^g11^-1 = g29, g29^g12 = g29, g29^g12^-1 = g29, g29^g13 = g29, g29^g13^-1 = g29, g29^g14 = g29, g29^g14^-1 = g29, g29^g15 = g29, g29^g15^-1 = g29, g29^g16 = g29, g29^g16^-1 = g29, g29^g17 = g29, g29^g17^-1 = g29, g29^g18 = g29, g29^g18^-1 = g29, g29^g19 = g29, g29^g19^-1 = g29, g29^g20 = g29, g29^g20^-1 = g29, g29^g21 = g29, g29^g21^-1 = g29, g29^g22 = g29, g29^g22^-1 = g29, g29^g23 = g29, g29^g23^-1 = g29, g29^g24 = g29, g29^g24^-1 = g29, g29^g25 = g29, g29^g25^-1 = g29, g29^g26 = g29, g29^g26^-1 = g29, g29^g27 = g29, g29^g27^-1 = g29, g29^g28 = g29, g29^g28^-1 = g29, g30^g1 = g25^-1*g33^-3*g52*g57^3*g66^3*g78^6*g81^9*g114^-1*g126^-6*g129^ 3*g131^-6*g139^-3*g155^-6*g164^-6*g180^-6*g186^-18*g188^12*g191^3*g193^ -4*g194^-36*g196^18*g197^-18, g30^g1^-1 = g16*g34^-3*g36^-1*g82^6*g84^3*g87, g30^g2 = g30*g70, g30^g2^-1 = g30*g70^-1*g165, g30^g3 = g30*g71, g30^g3^-1 = g30*g71^-1*g169, g30^g4 = g30*g72, g30^g4^-1 = g30*g72^-1*g186^3*g188^-3*g193, g30^g5 = g30*g166^-1*g168, g30^g5^-1 = g30*g166*g168^-1, g30^g6 = g30*g167^-1*g170, g30^g6^-1 = g30*g167*g170^-1, g30^g7 = g30*g171^-1*g185, g30^g7^-1 = g30*g171*g185^-1, g30^g8 = g30, g30^g8^-1 = g30, g30^g9 = g30, g30^g9^-1 = g30, g30^g10 = g30, g30^g10^-1 = g30, g30^g11 = g30, g30^g11^-1 = g30, g30^g12 = g30, g30^g12^-1 = g30, g30^g13 = g30, g30^g13^-1 = g30, g30^g14 = g30, g30^g14^-1 = g30, g30^g15 = g30, g30^g15^-1 = g30, g30^g16 = g30, g30^g16^-1 = g30, g30^g17 = g30, g30^g17^-1 = g30, g30^g18 = g30, g30^g18^-1 = g30, g30^g19 = g30, g30^g19^-1 = g30, g30^g20 = g30, g30^g20^-1 = g30, g30^g21 = g30, g30^g21^-1 = g30, g30^g22 = g30, g30^g22^-1 = g30, g30^g23 = g30, g30^g23^-1 = g30, g30^g24 = g30, g30^g24^-1 = g30, g30^g25 = g30, g30^g25^-1 = g30, g30^g26 = g30, g30^g26^-1 = g30, g30^g27 = g30, g30^g27^-1 = g30, g30^g28 = g30, g30^g28^-1 = g30, g30^g29 = g30, g30^g29^-1 = g30, g31^g1 = g20^-1*g22^-3*g27^-3*g30^-9*g41^2*g44^4*g46^3*g49^9*g51*g54^ 3*g59^6*g62^12*g68^15*g71^45*g74^3*g77^9*g92^-3*g94^-5*g97^-3*g98^-1*g100^ -10*g102^-3*g103^-1*g105^-3*g106^2*g108^-6*g109^-3*g111^-19*g113^-2*g115*g116^ -4*g119^-1*g120^-3*g122^3*g123^-9*g125^-1*g128^-3*g133^-9*g136^-15*g137*g138^ -3*g141^-9*g144^-30*g146^-6*g147^-1*g148^3*g150^-6*g151^6*g157^-21*g160^ -33*g162^3*g163^-9*g166^-46*g169^-141*g171^-18*g173^-6*g175^6*g176^-12*g181^ -3*g182^-6*g185^-27*g190^-3*g193^-9, g31^g1^-1 = g17^-3*g22*g27^-2*g29*g38^6*g46^-1*g48^3*g49^-2*g54^ -1*g59*g61^-5*g62^4*g63*g65*g67^2*g68^-2*g69^-1*g84^-1*g86^-3*g87^3*g89^ -9*g102*g104^-3*g105^2*g107^3*g108^-1*g109*g110^-5*g111^3*g120*g122^-4*g123^ 2*g128*g133^-1*g135^3*g136^-2*g138^-1*g140^-4*g142^-1*g143^10*g144^-6*g145^ 3*g146^-5*g150^5*g151*g152^-2*g156*g157*g158*g159^-5*g160^3*g161^3*g162^ -4*g163^-1*g164*g170^-1*g175^-2*g177^-1*g179*g181*g184*g187*g192^-1, g31^g2 = g31*g73, g31^g2^-1 = g31*g73^-1*g172, g31^g3 = g31*g74, g31^g3^-1 = g31*g74^-1*g176, g31^g4 = g31*g75, g31^g4^-1 = g31*g75^-1*g180, g31^g5 = g31*g173^-1*g175, g31^g5^-1 = g31*g173*g175^-1, g31^g6 = g31*g174^-1*g178, g31^g6^-1 = g31*g174*g178^-1, g31^g7 = g31*g177^-1*g179, g31^g7^-1 = g31*g177*g179^-1, g31^g8 = g31, g31^g8^-1 = g31, g31^g9 = g31, g31^g9^-1 = g31, g31^g10 = g31, g31^g10^-1 = g31, g31^g11 = g31, g31^g11^-1 = g31, g31^g12 = g31, g31^g12^-1 = g31, g31^g13 = g31, g31^g13^-1 = g31, g31^g14 = g31, g31^g14^-1 = g31, g31^g15 = g31, g31^g15^-1 = g31, g31^g16 = g31, g31^g16^-1 = g31, g31^g17 = g31, g31^g17^-1 = g31, g31^g18 = g31, g31^g18^-1 = g31, g31^g19 = g31, g31^g19^-1 = g31, g31^g20 = g31, g31^g20^-1 = g31, g31^g21 = g31, g31^g21^-1 = g31, g31^g22 = g31, g31^g22^-1 = g31, g31^g23 = g31, g31^g23^-1 = g31, g31^g24 = g31, g31^g24^-1 = g31, g31^g25 = g31, g31^g25^-1 = g31, g31^g26 = g31, g31^g26^-1 = g31, g31^g27 = g31, g31^g27^-1 = g31, g31^g28 = g31, g31^g28^-1 = g31, g31^g29 = g31, g31^g29^-1 = g31, g31^g30 = g31, g31^g30^-1 = g31, g32^g1 = g23^-1*g24^-3*g31^-3*g32^-9*g42*g47^3*g50*g51^3*g52*g54^ 6*g55*g56^6*g60^6*g63^9*g64^-3*g65^-9*g66^-3*g69^18*g72^27*g73^3*g74^9*g75^ 9*g76^-3*g77^9*g78^9*g80^9*g95^-4*g98^-3*g103^-3*g109^-6*g112*g113^-3*g114^ -6*g116^-6*g117^4*g121^-15*g123^-10*g124^-2*g125^-6*g126^-3*g127^9*g128^ -12*g130^-9*g134^-9*g138^-9*g139^-9*g142^-9*g145^-9*g146^-36*g147^3*g148^ 9*g149^15*g150^9*g151^36*g152^-18*g153^-12*g154^27*g155^6*g158^-21*g162^ -3*g163^-27*g164^-30*g167^-45*g170^-22*g171^-174*g172^-3*g173^-9*g174^ -18*g176^-18*g177^-27*g178^21*g180^-12*g181^3*g182^9*g184^21*g185^78*g186^ -144*g187^9*g188^117*g189^-9*g191^-3*g192^-9*g193^-45*g194^-27, g32^g1^-1 = g17*g36^-2*g38^-2*g84^3*g86*g87^3*g89^3, g32^g2 = g32*g76, g32^g2^-1 = g32*g76^-1*g181, g32^g3 = g32*g77, g32^g3^-1 = g32*g77^-1*g185, g32^g4 = g32*g78, g32^g4^-1 = g32*g78^-1*g194^2*g196^-1, g32^g5 = g32*g182^-1*g184, g32^g5^-1 = g32*g182*g184^-1, g32^g6 = g32*g183^-1*g187, g32^g6^-1 = g32*g183*g187^-1, g32^g7 = g32*g186^-1*g188, g32^g7^-1 = g32*g186*g188^-1, g32^g8 = g32, g32^g8^-1 = g32, g32^g9 = g32, g32^g9^-1 = g32, g32^g10 = g32, g32^g10^-1 = g32, g32^g11 = g32, g32^g11^-1 = g32, g32^g12 = g32, g32^g12^-1 = g32, g32^g13 = g32, g32^g13^-1 = g32, g32^g14 = g32, g32^g14^-1 = g32, g32^g15 = g32, g32^g15^-1 = g32, g32^g16 = g32, g32^g16^-1 = g32, g32^g17 = g32, g32^g17^-1 = g32, g32^g18 = g32, g32^g18^-1 = g32, g32^g19 = g32, g32^g19^-1 = g32, g32^g20 = g32, g32^g20^-1 = g32, g32^g21 = g32, g32^g21^-1 = g32, g32^g22 = g32, g32^g22^-1 = g32, g32^g23 = g32, g32^g23^-1 = g32, g32^g24 = g32, g32^g24^-1 = g32, g32^g25 = g32, g32^g25^-1 = g32, g32^g26 = g32, g32^g26^-1 = g32, g32^g27 = g32, g32^g27^-1 = g32, g32^g28 = g32, g32^g28^-1 = g32, g32^g29 = g32, g32^g29^-1 = g32, g32^g30 = g32, g32^g30^-1 = g32, g32^g31 = g32, g32^g31^-1 = g32, g33^g1 = g19^-1*g20^-3*g21^-3*g22^-9*g26^-3*g27^-9*g29^-9*g30^-27*g40^ 3*g41^6*g43^6*g44^15*g45^6*g46^9*g48^15*g49^36*g50*g51^3*g53^3*g54^9*g58^ 9*g59^18*g61^18*g62^45*g67^24*g68^45*g70^63*g71^162*g73^3*g74^9*g76^9*g77^ 27*g91^-6*g92^-9*g93^-9*g94^-21*g95^-1*g96^-9*g97^-9*g98^-3*g99^-21*g100^ -46*g101^-9*g102^-9*g103^-3*g104^-9*g105^-18*g106^3*g107^-21*g108^-18*g109^ -9*g110^-46*g111^-96*g112^-2*g113^-6*g115^-3*g116^-15*g119^-6*g120^-9*g122^ -6*g123^-36*g124^-1*g125^-3*g127^-3*g128^-9*g132^-18*g133^-27*g135^-27*g136^ -63*g138^-9*g140^-27*g141^-27*g143^-63*g144^-138*g145^-6*g146^-18*g147^ -3*g148^9*g150^-12*g151^18*g156^-45*g157^-63*g159^-63*g160^-144*g163^-27*g165^ -109*g166^-138*g168^-258*g169^-594*g170^-18*g171^-54*g172^-6*g173^-18*g176^ -45*g181^-24*g182^-18*g184^-45*g185^-108*g189^-3*g190^-9*g192^-9*g193^-27, g33^g1^-1 = g18*g37^-1*g39^-3*g85*g88^5*g89^-2*g90^6, g33^g2 = g33*g79, g33^g2^-1 = g33*g79^-1*g189, g33^g3 = g33*g80, g33^g3^-1 = g33*g80^-1*g193, g33^g4 = g33*g81, g33^g4^-1 = g33*g81^-1*g197, g33^g5 = g33*g190^-1*g192, g33^g5^-1 = g33*g190*g192^-1, g33^g6 = g33*g191^-1*g195, g33^g6^-1 = g33*g191*g195^-1, g33^g7 = g33*g194^-1*g196, g33^g7^-1 = g33*g194*g196^-1, g33^g8 = g33, g33^g8^-1 = g33, g33^g9 = g33, g33^g9^-1 = g33, g33^g10 = g33, g33^g10^-1 = g33, g33^g11 = g33, g33^g11^-1 = g33, g33^g12 = g33, g33^g12^-1 = g33, g33^g13 = g33, g33^g13^-1 = g33, g33^g14 = g33, g33^g14^-1 = g33, g33^g15 = g33, g33^g15^-1 = g33, g33^g16 = g33, g33^g16^-1 = g33, g33^g17 = g33, g33^g17^-1 = g33, g33^g18 = g33, g33^g18^-1 = g33, g33^g19 = g33, g33^g19^-1 = g33, g33^g20 = g33, g33^g20^-1 = g33, g33^g21 = g33, g33^g21^-1 = g33, g33^g22 = g33, g33^g22^-1 = g33, g33^g23 = g33, g33^g23^-1 = g33, g33^g24 = g33, g33^g24^-1 = g33, g33^g25 = g33, g33^g25^-1 = g33, g33^g26 = g33, g33^g26^-1 = g33, g33^g27 = g33, g33^g27^-1 = g33, g33^g28 = g33, g33^g28^-1 = g33, g33^g29 = g33, g33^g29^-1 = g33, g33^g30 = g33, g33^g30^-1 = g33, g33^g31 = g33, g33^g31^-1 = g33, g33^g32 = g33, g33^g32^-1 = g33, g34^g1 = g71^-1*g169^4*g185, g34^g1^-1 = g40^-27*g42^9*g50^18*g52^-6*g55^-3*g57*g91^-135*g95^135*g112^ 81*g114^-96*g117^21*g124^-60*g126^40*g129^-2*g131^-4, g34^g2 = g34*g82, g34^g2^-1 = g34*g82^-1, g34^g3 = g34*g83^2*g84^-1, g34^g3^-1 = g34*g83^-2*g84, g34^g4 = g34*g92^-1*g93^4*g96^-6*g101^4*g132^-1, g34^g4^-1 = g34*g92*g93^-4*g96^6*g101^-4*g132, g34^g5 = g34, g34^g5^-1 = g34, g34^g6 = g34, g34^g6^-1 = g34, g34^g7 = g34, g34^g7^-1 = g34, g34^g8 = g34, g34^g8^-1 = g34, g34^g9 = g34, g34^g9^-1 = g34, g34^g10 = g34, g34^g10^-1 = g34, g34^g11 = g34, g34^g11^-1 = g34, g34^g12 = g34, g34^g12^-1 = g34, g34^g13 = g34, g34^g13^-1 = g34, g34^g14 = g34, g34^g14^-1 = g34, g34^g15 = g34, g34^g15^-1 = g34, g34^g16 = g34, g34^g16^-1 = g34, g34^g17 = g34, g34^g17^-1 = g34, g34^g18 = g34, g34^g18^-1 = g34, g34^g19 = g34, g34^g19^-1 = g34, g34^g20 = g34, g34^g20^-1 = g34, g34^g21 = g34, g34^g21^-1 = g34, g34^g22 = g34, g34^g22^-1 = g34, g34^g23 = g34, g34^g23^-1 = g34, g34^g24 = g34, g34^g24^-1 = g34, g34^g25 = g34, g34^g25^-1 = g34, g34^g26 = g34, g34^g26^-1 = g34, g34^g27 = g34, g34^g27^-1 = g34, g34^g28 = g34, g34^g28^-1 = g34, g34^g29 = g34, g34^g29^-1 = g34, g34^g30 = g34, g34^g30^-1 = g34, g34^g31 = g34, g34^g31^-1 = g34, g34^g32 = g34, g34^g32^-1 = g34, g34^g33 = g34, g34^g33^-1 = g34, g35^g1 = g72^-1*g171^6*g185^-3*g186^4*g188^-3*g193, g35^g1^-1 = g40^9*g50^-6*g55*g91^27*g95^-12*g112^-27*g117^8*g124^11*g129^ -3, g35^g2 = g35*g83, g35^g2^-1 = g35*g83^-1, g35^g3 = g35*g85^3*g86^-3*g87, g35^g3^-1 = g35*g85^-3*g86^3*g87^-1, g35^g4 = g35*g94*g97^-3*g102^3*g133^-2*g135^3*g140^-3*g156, g35^g4^-1 = g35*g94^-1*g97^3*g102^-3*g133^2*g135^-3*g140^3*g156^-1, g35^g5 = g35, g35^g5^-1 = g35, g35^g6 = g35, g35^g6^-1 = g35, g35^g7 = g35, g35^g7^-1 = g35, g35^g8 = g35, g35^g8^-1 = g35, g35^g9 = g35, g35^g9^-1 = g35, g35^g10 = g35, g35^g10^-1 = g35, g35^g11 = g35, g35^g11^-1 = g35, g35^g12 = g35, g35^g12^-1 = g35, g35^g13 = g35, g35^g13^-1 = g35, g35^g14 = g35, g35^g14^-1 = g35, g35^g15 = g35, g35^g15^-1 = g35, g35^g16 = g35, g35^g16^-1 = g35, g35^g17 = g35, g35^g17^-1 = g35, g35^g18 = g35, g35^g18^-1 = g35, g35^g19 = g35, g35^g19^-1 = g35, g35^g20 = g35, g35^g20^-1 = g35, g35^g21 = g35, g35^g21^-1 = g35, g35^g22 = g35, g35^g22^-1 = g35, g35^g23 = g35, g35^g23^-1 = g35, g35^g24 = g35, g35^g24^-1 = g35, g35^g25 = g35, g35^g25^-1 = g35, g35^g26 = g35, g35^g26^-1 = g35, g35^g27 = g35, g35^g27^-1 = g35, g35^g28 = g35, g35^g28^-1 = g35, g35^g29 = g35, g35^g29^-1 = g35, g35^g30 = g35, g35^g30^-1 = g35, g35^g31 = g35, g35^g31^-1 = g35, g35^g32 = g35, g35^g32^-1 = g35, g35^g33 = g35, g35^g33^-1 = g35, g35^g34 = g35, g35^g34^-1 = g35, g36^g1 = g77^-1*g185^3*g193^2, g36^g1^-1 = g40^9*g42^-3*g50^-3*g52*g91^27*g95^-27*g112^-12*g114^20*g117^ -9*g124^8*g126^-5*g129^2, g36^g2 = g36*g84, g36^g2^-1 = g36*g84^-1, g36^g3 = g36*g85, g36^g3^-1 = g36*g85^-1, g36^g4 = g36*g94*g97^-2*g99^-1*g104^4*g107^-1*g140^-2*g156, g36^g4^-1 = g36*g94^-1*g97^2*g99*g104^-4*g107*g140^2*g156^-1, g36^g5 = g36, g36^g5^-1 = g36, g36^g6 = g36, g36^g6^-1 = g36, g36^g7 = g36, g36^g7^-1 = g36, g36^g8 = g36, g36^g8^-1 = g36, g36^g9 = g36, g36^g9^-1 = g36, g36^g10 = g36, g36^g10^-1 = g36, g36^g11 = g36, g36^g11^-1 = g36, g36^g12 = g36, g36^g12^-1 = g36, g36^g13 = g36, g36^g13^-1 = g36, g36^g14 = g36, g36^g14^-1 = g36, g36^g15 = g36, g36^g15^-1 = g36, g36^g16 = g36, g36^g16^-1 = g36, g36^g17 = g36, g36^g17^-1 = g36, g36^g18 = g36, g36^g18^-1 = g36, g36^g19 = g36, g36^g19^-1 = g36, g36^g20 = g36, g36^g20^-1 = g36, g36^g21 = g36, g36^g21^-1 = g36, g36^g22 = g36, g36^g22^-1 = g36, g36^g23 = g36, g36^g23^-1 = g36, g36^g24 = g36, g36^g24^-1 = g36, g36^g25 = g36, g36^g25^-1 = g36, g36^g26 = g36, g36^g26^-1 = g36, g36^g27 = g36, g36^g27^-1 = g36, g36^g28 = g36, g36^g28^-1 = g36, g36^g29 = g36, g36^g29^-1 = g36, g36^g30 = g36, g36^g30^-1 = g36, g36^g31 = g36, g36^g31^-1 = g36, g36^g32 = g36, g36^g32^-1 = g36, g36^g33 = g36, g36^g33^-1 = g36, g36^g34 = g36, g36^g34^-1 = g36, g36^g35 = g36, g36^g35^-1 = g36, g37^g1 = g78^-1*g186^2*g194^4*g196^-1, g37^g1^-1 = g40^-3*g50*g91^-3*g95^2*g112^4*g117^-1*g124^-1, g37^g2 = g37*g86, g37^g2^-1 = g37*g86^-1, g37^g3 = g37*g88^2*g89^-1, g37^g3^-1 = g37*g88^-2*g89, g37^g4 = g37*g100^-1*g105^2*g136*g141^-4*g157*g159^2*g165^-1, g37^g4^-1 = g37*g100*g105^-2*g136^-1*g141^4*g157^-1*g159^-2*g165, g37^g5 = g37, g37^g5^-1 = g37, g37^g6 = g37, g37^g6^-1 = g37, g37^g7 = g37, g37^g7^-1 = g37, g37^g8 = g37, g37^g8^-1 = g37, g37^g9 = g37, g37^g9^-1 = g37, g37^g10 = g37, g37^g10^-1 = g37, g37^g11 = g37, g37^g11^-1 = g37, g37^g12 = g37, g37^g12^-1 = g37, g37^g13 = g37, g37^g13^-1 = g37, g37^g14 = g37, g37^g14^-1 = g37, g37^g15 = g37, g37^g15^-1 = g37, g37^g16 = g37, g37^g16^-1 = g37, g37^g17 = g37, g37^g17^-1 = g37, g37^g18 = g37, g37^g18^-1 = g37, g37^g19 = g37, g37^g19^-1 = g37, g37^g20 = g37, g37^g20^-1 = g37, g37^g21 = g37, g37^g21^-1 = g37, g37^g22 = g37, g37^g22^-1 = g37, g37^g23 = g37, g37^g23^-1 = g37, g37^g24 = g37, g37^g24^-1 = g37, g37^g25 = g37, g37^g25^-1 = g37, g37^g26 = g37, g37^g26^-1 = g37, g37^g27 = g37, g37^g27^-1 = g37, g37^g28 = g37, g37^g28^-1 = g37, g37^g29 = g37, g37^g29^-1 = g37, g37^g30 = g37, g37^g30^-1 = g37, g37^g31 = g37, g37^g31^-1 = g37, g37^g32 = g37, g37^g32^-1 = g37, g37^g33 = g37, g37^g33^-1 = g37, g37^g34 = g37, g37^g34^-1 = g37, g37^g35 = g37, g37^g35^-1 = g37, g37^g36 = g37, g37^g36^-1 = g37, g38^g1 = g80^-1*g188*g193*g196^3, g38^g1^-1 = g40^-3*g42*g91^-3*g95^3*g112^3*g114^-4*g117^3*g124^-1, g38^g2 = g38*g87, g38^g2^-1 = g38*g87^-1, g38^g3 = g38*g88, g38^g3^-1 = g38*g88^-1, g38^g4 = g38*g100^-1*g105^3*g108^-3*g110^2*g143^-3*g159^3*g165^-1, g38^g4^-1 = g38*g100*g105^-3*g108^3*g110^-2*g143^3*g159^-3*g165, g38^g5 = g38, g38^g5^-1 = g38, g38^g6 = g38, g38^g6^-1 = g38, g38^g7 = g38, g38^g7^-1 = g38, g38^g8 = g38, g38^g8^-1 = g38, g38^g9 = g38, g38^g9^-1 = g38, g38^g10 = g38, g38^g10^-1 = g38, g38^g11 = g38, g38^g11^-1 = g38, g38^g12 = g38, g38^g12^-1 = g38, g38^g13 = g38, g38^g13^-1 = g38, g38^g14 = g38, g38^g14^-1 = g38, g38^g15 = g38, g38^g15^-1 = g38, g38^g16 = g38, g38^g16^-1 = g38, g38^g17 = g38, g38^g17^-1 = g38, g38^g18 = g38, g38^g18^-1 = g38, g38^g19 = g38, g38^g19^-1 = g38, g38^g20 = g38, g38^g20^-1 = g38, g38^g21 = g38, g38^g21^-1 = g38, g38^g22 = g38, g38^g22^-1 = g38, g38^g23 = g38, g38^g23^-1 = g38, g38^g24 = g38, g38^g24^-1 = g38, g38^g25 = g38, g38^g25^-1 = g38, g38^g26 = g38, g38^g26^-1 = g38, g38^g27 = g38, g38^g27^-1 = g38, g38^g28 = g38, g38^g28^-1 = g38, g38^g29 = g38, g38^g29^-1 = g38, g38^g30 = g38, g38^g30^-1 = g38, g38^g31 = g38, g38^g31^-1 = g38, g38^g32 = g38, g38^g32^-1 = g38, g38^g33 = g38, g38^g33^-1 = g38, g38^g34 = g38, g38^g34^-1 = g38, g38^g35 = g38, g38^g35^-1 = g38, g38^g36 = g38, g38^g36^-1 = g38, g38^g37 = g38, g38^g37^-1 = g38, g39^g1 = g81^-1*g194^2*g196^-1*g197^4, g39^g1^-1 = g40*g91^-1*g112^-1, g39^g2 = g39*g89, g39^g2^-1 = g39*g89^-1, g39^g3 = g39*g90, g39^g3^-1 = g39*g90^-1, g39^g4 = g39*g111*g144^-4*g160^6*g166^-4*g168, g39^g4^-1 = g39*g111^-1*g144^4*g160^-6*g166^4*g168^-1, g39^g5 = g39, g39^g5^-1 = g39, g39^g6 = g39, g39^g6^-1 = g39, g39^g7 = g39, g39^g7^-1 = g39, g39^g8 = g39, g39^g8^-1 = g39, g39^g9 = g39, g39^g9^-1 = g39, g39^g10 = g39, g39^g10^-1 = g39, g39^g11 = g39, g39^g11^-1 = g39, g39^g12 = g39, g39^g12^-1 = g39, g39^g13 = g39, g39^g13^-1 = g39, g39^g14 = g39, g39^g14^-1 = g39, g39^g15 = g39, g39^g15^-1 = g39, g39^g16 = g39, g39^g16^-1 = g39, g39^g17 = g39, g39^g17^-1 = g39, g39^g18 = g39, g39^g18^-1 = g39, g39^g19 = g39, g39^g19^-1 = g39, g39^g20 = g39, g39^g20^-1 = g39, g39^g21 = g39, g39^g21^-1 = g39, g39^g22 = g39, g39^g22^-1 = g39, g39^g23 = g39, g39^g23^-1 = g39, g39^g24 = g39, g39^g24^-1 = g39, g39^g25 = g39, g39^g25^-1 = g39, g39^g26 = g39, g39^g26^-1 = g39, g39^g27 = g39, g39^g27^-1 = g39, g39^g28 = g39, g39^g28^-1 = g39, g39^g29 = g39, g39^g29^-1 = g39, g39^g30 = g39, g39^g30^-1 = g39, g39^g31 = g39, g39^g31^-1 = g39, g39^g32 = g39, g39^g32^-1 = g39, g39^g33 = g39, g39^g33^-1 = g39, g39^g34 = g39, g39^g34^-1 = g39, g39^g35 = g39, g39^g35^-1 = g39, g39^g36 = g39, g39^g36^-1 = g39, g39^g37 = g39, g39^g37^-1 = g39, g39^g38 = g39, g39^g38^-1 = g39, g40^g1 = g39*g88^-2*g89*g90^-4, g40^g1^-1 = g34^-81*g41^27*g43^-108*g45^162*g47^-27*g51^9*g53^-9*g56^ 3*g58^-108*g60^36*g64^9*g66^-12*g73^9*g75^6*g79^-6*g81*g82^-324*g84^81*g92^ -162*g93^756*g94^-27*g96^-1404*g97^27*g98^135*g99^81*g101^1296*g103^-270*g104^ -81*g106^-81*g107^-81*g109^27*g113^-63*g115^153*g116^-9*g118^-69*g119^ -171*g120^9*g121^189*g125^45*g127^-81*g128^-3*g130^-9*g132^-648*g134^180*g137^ 144*g139^-84*g140^81*g142^-27*g147^144*g149^-99*g152^9*g153^81*g155^36*g156^ 27*g158^-9*g162^-9*g164^3*g172^72*g174^69*g178^-270*g179^-9*g180^-18*g181^ -9*g183^3*g189^75*g190^3*g191^18*g192^3*g194^-2*g195^12*g196*g197^-4, g40^g2 = g40*g91, g40^g2^-1 = g40*g91^-1, g40^g3 = g40*g92, g40^g3^-1 = g40*g92^-1, g40^g4 = g40*g95^2*g112^-1, g40^g4^-1 = g40*g95^-2*g112, g40^g5 = g40, g40^g5^-1 = g40, g40^g6 = g40, g40^g6^-1 = g40, g40^g7 = g40, g40^g7^-1 = g40, g40^g8 = g40, g40^g8^-1 = g40, g40^g9 = g40, g40^g9^-1 = g40, g40^g10 = g40, g40^g10^-1 = g40, g40^g11 = g40, g40^g11^-1 = g40, g40^g12 = g40, g40^g12^-1 = g40, g40^g13 = g40, g40^g13^-1 = g40, g40^g14 = g40, g40^g14^-1 = g40, g40^g15 = g40, g40^g15^-1 = g40, g40^g16 = g40, g40^g16^-1 = g40, g40^g17 = g40, g40^g17^-1 = g40, g40^g18 = g40, g40^g18^-1 = g40, g40^g19 = g40, g40^g19^-1 = g40, g40^g20 = g40, g40^g20^-1 = g40, g40^g21 = g40, g40^g21^-1 = g40, g40^g22 = g40, g40^g22^-1 = g40, g40^g23 = g40, g40^g23^-1 = g40, g40^g24 = g40, g40^g24^-1 = g40, g40^g25 = g40, g40^g25^-1 = g40, g40^g26 = g40, g40^g26^-1 = g40, g40^g27 = g40, g40^g27^-1 = g40, g40^g28 = g40, g40^g28^-1 = g40, g40^g29 = g40, g40^g29^-1 = g40, g40^g30 = g40, g40^g30^-1 = g40, g40^g31 = g40, g40^g31^-1 = g40, g40^g32 = g40, g40^g32^-1 = g40, g40^g33 = g40, g40^g33^-1 = g40, g40^g34 = g40, g40^g34^-1 = g40, g40^g35 = g40, g40^g35^-1 = g40, g40^g36 = g40, g40^g36^-1 = g40, g40^g37 = g40, g40^g37^-1 = g40, g40^g38 = g40, g40^g38^-1 = g40, g40^g39 = g40, g40^g39^-1 = g40, g41^g1 = g49*g62^-3*g68^3*g70^-1*g105^-1*g111^-3*g123^-1*g136*g141^2*g144^ 9*g146^3*g157^-2*g159^-1*g160^-9*g161^-3*g165*g166^3*g167*g170*g184^-1, g41^g1^-1 = g34^27*g43^9*g45^-27*g53^3*g58^27*g64^-9*g79*g82^54*g84^ -27*g93^-36*g96^126*g99^-9*g101^-162*g104^9*g106^27*g107^18*g115^-15*g119^ 24*g122^-3*g127^-6*g132^108*g137^-36*g140^-18*g145^3*g147^-18*g150^3*g153^ 18*g156^-9*g162^3*g172^-27*g175^-3*g181^3*g187^-1*g189^8*g195^-3, g41^g2 = g41*g93, g41^g2^-1 = g41*g93^-1, g41^g3 = g41*g94, g41^g3^-1 = g41*g94^-1, g41^g4 = g41*g98*g103*g106^-2*g113*g115^-1*g119*g134^-1*g137^2*g147^ -2*g172, g41^g4^-1 = g41*g98^-1*g103^-1*g106^2*g113^-1*g115*g119^-1*g134*g137^ -2*g147^2*g172^-1, g41^g5 = g41, g41^g5^-1 = g41, g41^g6 = g41, g41^g6^-1 = g41, g41^g7 = g41, g41^g7^-1 = g41, --> -------------------- --> maximum size reached --> -------------------- [ Dauer der Verarbeitung: 0.22 Sekunden (vorverarbeitet) ] |
2026-04-04