Lie bracket of Primitive elements in SSym

Lie brackets of total degree 3:
Degree 1 by degree 2:
[M1, M12] = -2M132 + 2M213.
Lie brackets of total degree 4:
Degree 1 by degree 3:
[M1, M123] = -2M1243 + 2M2134 + M2314 + M3124 -M1423-M1342.
[M1, M132] = M1243-M1324 + 2M2143-M1423 -M1342 + M2413
-3M1432 + M3142.
[M1, M213] = M1324-M2134 + M2314 + M3124 -2M2143-M2413
+ 3M3214-M3142.
Lie brackets of total degree 5:
Degree 1 by degree 4:
[M1, M1234] = -2M12354 + 2M21345 + M31245 + M23145 -M12534-M12453
-M13452 + M41235 + M23415-M15234.
[M1, M1243] = M12354-M12435 + 2M21354-M12534 -M12453-3M12543
+ M31254 + M23154 + M41253-M13542 + M23514-M15243.
[M1, M1324] = -M13245 + M12435 + 2M21435-2M13254 + M31425 + M24135
-M14253-M13524 + M24315-M15324 + M41325-M14352.
[M1, M1342] = -M13425 + M12453 + 2M21453-M13452 -M13524 + M31452
-2M13542-M14523 + M24153 + M24513 + M41352-2M14532
-M15342.
[M1, M1423] = -M14235 + M12534 + 2M21534-M14253 -M15234 + M31524
-2M15243 + M25134 -M14523 + M25314 -M15342-2M15423
+ M41523.
[M1, M1432] = -M14325 + M12543 + 2M21543-M15324 -M14352 + M31542
+ M25143-M14532 -M15342-M15423 -4M15432 + M41532
+ M25413.
[M1, M2134] = M13245-M21345 -2M21354 + M23145 + M31245-M21534
-M21453 + 3M32145 -M31452 + M42135 -M25134 + M32415.
[M1, M2143] = -M21435 + M13254 + M31254-M21534 -M21453 + M23154
+ 3M32154-3M21543 + M32514 + M42153 -M31542-M25143.
[M1, M2314] = -M23145 + M13425 + M23415 + M31425 -2M23154 + 2M32415
-M23514 + M34125 -M24153 + M42315 -M34152-M25314
+ 2M34215.
[M1, M2413] = -M24135 + M13524 -M25134 + M23514 + M31524-M24153
+ 2M32514-2M25143 -M24513 + M35124 -M35142 + M42513
-2M25413 + 2M35214.
[M1, M3124] = M14235-M31245 + M41235-2M31254 + M24135 + 2M42135
-M41253 + M34125 -M31524-M41352 + M42315 + 2M43125
-M35124.
[M1, M3142] = -M31425 + M14253 -M31452 + M41253 -M31524 + M24153
+ M34152-2M31542 + 2M42153-M41523 + 2M43152-M35142
+ M42513-2M41532.
[M1, M3214] = M14325-M32145 -2M32154 + M41325 + M24315-M32514
+ M42315 + M43125 -M42153 + M34215 -M43152-M35214
+ 4M43215.
Degree 2 by degree 3:
[M12, M123] = -2M12435 + 2M13245 + M31245 + M23145 -M12534-M12453
-M14253 + M31425 + M13452-M13524 -M41235-M23415
+ M24135 + M15234 + M31452 + 2M34125 -M41253-M23514
-2M14523 + M25134 + M34152 + M35124 -M24513-M41523.
[M12, M132] = M12354-M13245 + 2M13254-M13425 -M14235 + M14253
-M13452 + M31254 + M13524 + M23154 -3M14325-M15234
-M24315 + M24153 + M13542 + M15243 -M41325-2M14352
+ M31524-2M15324 -M25314 + M34152 + M31542 + M35124
+ M25143-M41352 -M15423-M14532 -M15342 + 2M35142
-M25413-M41532.
[M12, M213] = -M21345 + M12435 + M13425-2M21435 + M14235-M31425
-M21453 + M41235 -M24135 + M23415 + 3M14325-M21534
+ 2M24315-M24153 + 2M41325 + M14352 -M31524-M42135
+ M15324-M32415 + M42315 + M25314 -M42153 + M41352
+ M34215-M24513 -M41523 + M43125 -M32514 + M43152
-2M42513 + M35214.
Lie brackets of total degree 6:
Degree 1 by degree 5:
[M1, M12345] = 2M213456-2M123465 + M231456 + M312456 -M123645-M123564
+ M234156-M124563 + M412356-M126345 + M234516 + M512346
-M162345-M134562.
[M1, M12354] = M123465-M123546 -M123645-M123564 + 2M213465 + M312465
-3M123654 + M231465 -M126354-M124653 + M412365 + M234165
-M134652 + M512364 -M162354 + M234615.
[M1, M12435] = M123546-M124356 -2M124365 + 2M213546 -M125364 + M231546
+ M312546-M124635 -M125463-M126435 + M412536 + M235146
-M135462 + M512436 -M162435 + M235416.
[M1, M12453] = M123564-M124536 -M124563 + 2M213564 -M124635 + M312564
-2M124653-M125634 + M231564-M126453 -2M125643 + M412563
+ M235164 + M512463 -M162453-M135642 + M235614.
[M1, M12534] = -M125346 + M123645 + 2M213645-M126345 -M125364 + M231645
+ M312645-M125634 -2M126354 + M236145 + M412635-M126453
-2M126534 + M236415 -M136452-M162534 + M512634.
[M1, M12543] = -M125436 + M123654 + 2M213654-M126435 -M125463 + M231654
+ M312654-M126453 -M126534-M125643 + M236154-4M126543
+ M412653 + M236514 -M136542 + M512643 -M162543.
[M1, M13245] = -M132456 + M124356 + 2M214356-2M132465 + M241356 + M314256
-M132564-M132645 + M413256 + M243156 -M142563-M136245
+ M243516 + M513246 -M143562-M163245.
[M1, M13254] = M124365-M132546 + 2M214365-M132564 -M132645 + M241365
+ M314265-3M132654 + M413265 + M243165 -M142653-M136254
-M143652 + M513264 + M243615-M163254.
[M1, M13425] = M124536-M134256 -2M134265 + 2M214536 -M135264 + M241536
+ M314526-M134625 + M413526 + M245136 -M136425-M145263
-M145362 + M245316 -M163425 + M513426.
[M1, M13452] = M124563-M134526 -M134625 + 2M214563 -M134562-2M134652
-M135624 + M241563 + M314562 + M413562 -M135642-M136452
-M145623 + M245163 + M513462-M163452 -2M145632 + M245613.
[M1, M13524] = M124635-M135246 -M135264 + 2M214635 -M136245 + M314625
+ M241635-2M136254 -M135624 + M413625 + M246135-M146253
-2M136524-M146352 + M246315 + M513624 -M163524.
[M1, M13542] = -M135426 + M124653 + 2M214653-M136425 -M135462 + M241653
+ M314652-M135642 -M136452-M136524 -3M136542 + M413652
-M146523 + M246153 -2M146532 + M246513 -M163542 + M513642.
[M1, M14235] = M125346-M142356 + 2M215346-2M142365 + M315246 + M251346
-M142635-M152364 + M253146-M152463 -M146235 + M415236
+ M514236 + M253416 -M153462-M164235.
[M1, M14253] = M125364-M142536 -M142563-M142635 + 2M215364-2M142653
+ M251364-M152634 + M315264-2M152643 -M146253 + M415263
+ M253164 + M514263 -M164253-M153642 + M253614.
[M1, M14325] = -M143256 + M125436 + 2M215436-2M143265 + M315426 + M251436
-M143625-M153264 + M254136-M146325 + M415326-M154263
+ M254316-M164325 + M514326-M154362.
[M1, M14352] = M125463-M143526 + 2M215463-M143562 -M143625 + M315462
+ M251463-2M143652 -M153624 + M254163 -M154623-M153642
-M146352 + M415362 + M254613 + M514362 -M164352-2M154632.
[M1, M14523] = -M145236 + M125634 -M146235 + 2M215634 -M145263-M156234
+ M251634 + M315624 -M146253-M145623 -2M156243 + M415623
+ M256134-2M146523 -M156342 + M514623 + M256314-M156423
-M164523.
[M1, M14532] = -M145326 + M125643 -M146325 + 2M215643 -M145362-M156324
+ M315642-M146352 + M251643-M145632 -M156342 + M256143
-2M146532 + M415632 -M156423 + M514632 + M256413-M164532
-3M156432.
[M1, M15234] = M126345-M152346 + 2M216345-M152364 -M162345-2M162354
+ M261345 + M316245 -M152634-M156234 -M162534-M162453
+ M263145 + M416235 -M163452 + M263415 -2M165234 + M516234.
[M1, M15243] = M126354-M152436 -M162435 + 2M216354 -M152463-M162534
-M162453 + M261354 + M316254-M152643 -M156243-3M162543
+ M263154 + M416253 -M163542 + M263514 + M516243-2M165243.
[M1, M15324] = -M153246 + M126435 + 2M216435-M153264 -M163245 + M316425
+ M261435-M153624 -2M163254 + M264135 -M156324-M163524
+ M416325-M164253 + M264315-M164352 + M516324-2M165324.
[M1, M15342] = -M153426 + M126453 -M163425 + 2M216453 -M153462-M163524
+ M261453 + M316452 -M153642-M163452 -M164523 + M416352
-M156342 + M264153 -2M163542-2M164532 -2M165342 + M516342
+ M264513.
[M1, M15423] = -M154236 + M126534 -M164235 + 2M216534 -M154263-M164253
-M165234 + M316524 + M261534-M154623 -2M165243-M164523
+ M416523 + M265134 -M156423-M165342 + M516423-3M165423
+ M265314.
[M1, M15432] = -M154326 + M126543 + 2M216543-M154362 -M164325 + M316542
-M164352 + M261543 -M154632-M165324 + M416532-M165342
-M165423 + M265143 -M156432-M164532 -5M165432 + M516432
+ M265413.
[M1, M21345] = M132456-M213456 -2M213465 + M231456 + M312456-M213645
-M213564 + 3M321456 -M214563-M216345 + M421356 + M324156
-M314562 + M521346 -M261345 + M324516.
[M1, M21354] = -M213546 + M132465 -M213645-M213564 + M231465 + M312465
-3M213654 + 3M321465 -M216354 + M324165 + M421365-M214653
+ M521364-M261354 -M314652 + M324615.
[M1, M21435] = -M214356 + M132546 + M231546 + M312546 -2M214365 + 3M321546
-M214635-M215364 + M325146 + M421536 -M216435-M215463
+ M325416-M315462 + M521436-M261435.
[M1, M21453] = M132564-M214536 -M214563 + M312564 + M231564-M214635
-2M214653 + 3M321564 -M215634-M216453 -2M215643 + M325164
+ M421563-M261453 + M325614-M315642 + M521463.
[M1, M21534] = -M215346 + M132645 -M216345 + M231645 -M215364 + M312645
-2M216354-M215634 + 3M321645-2M216534 -M216453 + M421635
+ M326145 + M521634 -M261534-M316452 + M326415.
[M1, M21543] = -M215436 + M132654 + M312654 + M231654 -M216435-M215463
-M215643-M216534 -M216453 + 3M321654 -4M216543 + M326154
+ M421653-M261543 -M316542 + M326514 + M521643.
[M1, M23145] = M134256-M231456 + M314256 + M234156 -2M231465 + M341256
-M231564-M231645 + 2M324156 + 2M342156 -M236145-M241563
+ M423156 + M342516 + M523146-M341562 -M263145.
[M1, M23154] = -M231546 + M134265 + M314265 + M234165 -M231564-M231645
+ M341265 + 2M324165 -3M231654 + 2M342165 + M423165-M236154
-M241653 + M523164 -M341652 + M342615 -M263154.
[M1, M23415] = -M234156 + M134526 -2M234165 + M314526 + M234516 + 2M324516
+ M341526-M235164 -M234615-M245163 + M423516 + M342516
+ M345126-M236415 -M345162 + 2M345216 + M523416-M263415.
[M1, M23514] = M134625-M235146 + M314625-M235164 -M236145 + M234615
+ 2M324615 + M341625 -2M236154-M235614 + M342615 + M423615
+ M346125-M246153 -2M236514 + M523614 + 2M346215-M263514
-M346152.
[M1, M24135] = -M241356 + M135246 + M315246 + M235146 -2M241365 + 2M325146
+ M351246-M251364 -M241635 + M425136 -M251463 + 2M352146
-M246135-M351462 + M352416-M264135 + M524136.
[M1, M24153] = -M241536 + M135264 + M315264-M241563 -M241635 + M235164
-M251634-2M241653 + M351264 + 2M325164 + 2M352164-M246153
-2M251643 + M425163 + M524163 + M352614 -M264153-M351642.
[M1, M24315] = -M243156 + M135426 + M315426 + M235416 -2M243165-M253164
-M243615 + 2M325416 + M351426 + M352416 + M354126-M246315
+ M425316-M254163 -M354162 + 2M354216 -M264315 + M524316.
[M1, M24513] = -M245136 + M135624 -M246135 + M235614 + M315624-M245163
-M256134-M246153 + 2M325614 + M351624 -M245613 + M352614
-2M256143 + M356124 + M425613-2M246513 -M256413 + 2M356214
-M356142 + M524613 -M264513.
[M1, M25134] = -M251346 + M136245 -M261345 + M316245 -M251364 + M236145
-2M261354 + M361245 -M251634 + 2M326145 -M256134-M261534
+ 2M362145-M261453 + M426135-M361452 + M526134 + M362415
-2M265134.
[M1, M25143] = M136254-M251436 + M236154-M251463 -M261435 + M316254
+ 2M326154-M261534 -M251643 + M361254 -M261453 + M426153
-M256143-3M261543 + 2M362154 + M526143 -2M265143-M361542
+ M362514.
[M1, M25314] = -M253146 + M136425 + M236415-M263145 + M316425-M253164
+ 2M326415 + M361425 -M253614-2M263154 + M362415 + M426315
-M263514 + M364125 -M256314-M264153 -M364152 + M526314
+ 2M364215-2M265314.
[M1, M25413] = -M254136 + M136524 -M264135 + M316524 -M254163 + M236514
-M265134-M264153 + M361524-M254613 + 2M326514-2M265143
+ M362514 + M365124 -M256413 + M426513 -M264513 + M526413
-M365142 + 2M365214 -3M265413.
[M1, M31245] = -M312456 + M142356 + M412356 + M241356 -2M312465 + M341256
+ 2M421356-M312564 -M312645-M412563 + M423156 + 2M431256
-M316245-M413562 + M423516 + M531246 -M361245.
[M1, M31254] = M142365-M312546 + M241365 + M412365 -M312564-M312645
+ M341265 + 2M421365 -3M312654-M412653 + M423165 + 2M431265
-M316254-M413652 + M423615-M361254 + M531264.
[M1, M31425] = -M314256 + M142536 + M412536 + M241536 -2M314265 + 2M421536
+ M341526-M315264 -M314625 + M425136 + 2M431526-M316425
-M415263-M415362 + M425316 + M531426 -M361425.
[M1, M31452] = -M314526 + M142563 + M412563-M314562 + M241563-M314625
+ 2M421563 + M341562 -2M314652-M315624 + M425163 + 2M431562
-M315642-M316452 -M415623 + M425613 -2M415632 + M531462
-M361452.
[M1, M31524] = -M315246 + M142635 + M412635 + M241635 -M315264-M316245
+ 2M421635 + M341625 -M315624-2M316254 + M426135 + 2M431625
-2M316524-M416253 + M426315-M416352 + M531624-M361524.
[M1, M31542] = M142653-M315426 -M315462-M316425 + M241653 + M412653
-M316452-M315642 -M316524 + 2M421653 + M341652-3M316542
-M416523 + M426153 + 2M431652-2M416532 -M361542 + M426513
+ M531642.
[M1, M32145] = -M321456 + M143256 + M413256-2M321465 + M243156 + M423156
+ M431256-M321564 -M321645 + M342156 -M421563 + 4M432156
-M326145-M431562 + M532146 + M432516 -M362145.
[M1, M32154] = -M321546 + M143265 + M413265 + M243165 -M321564-M321645
+ M431265 + M342165 -3M321654 + M423165 + 4M432165-M326154
-M421653 + M432615 -M362154 + M532164 -M431652.
[M1, M32415] = M143526-M324156 + M413526-2M324165 + M243516 + M431526
-M325164-M324615 + M342516 + M423516 + 3M432516-M425163
+ M435126-M326415 + M532416 + 2M435216 -M362415-M435162.
[M1, M32514] = M143625-M325146 -M326145 + M413625 -M325164 + M243615
-2M326154 + M431625 -M325614 + M342615 + M423615-M426153
+ M436125-2M326514 + 3M432615-M436152 + 2M436215-M362514
+ M532614.
[M1, M34125] = -M341256 + M145236 + M245136 + M415236 -2M341265 + M425136
+ M345126 + M451236 -M351264-M341625 -M451263 + 2M452136
-M346125 + 2M435126 -M451362 + M453126 + M452316-M364125
+ M534126.
[M1, M34152] = M145263-M341526 -M341562-M341625 + M245163 + M415263
-2M341652 + M451263 + M345162-M351624 + M425163-M346152
-M351642-M451623 + 2M435162 + 2M452163 -M364152 + M453162
+ M534162-2M451632 + M452613.
[M1, M34215] = M145326-M342156 + M245316 + M415326 -2M342165 + M425316
+ M345216 + M451326 -M352164-M342615 + 2M435216 + M453126
+ M452316-M346215 -M452163-M453162 + 3M453216 + M534216
-M364215.
[M1, M35124] = -M351246 + M146235 -M361245 + M416235 + M246135-M351264
+ M426135 + M461235 -M351624 + M346125 -2M361254 + 2M462135
+ 2M436125-M356124 -M361524-M461253 -M461352 + M463125
+ M462315-2M365124 + M536124.
[M1, M35142] = -M351426 + M146253 + M246153-M361425 + M416253-M351462
+ M346152-M361452 -M351642-M361524 + M461253 + M426153
-2M361542 + 2M462153 -M356142-M461523 + 2M436152-2M461532
+ M462513 + M463152 -2M365142 + M536142.
[M1, M35214] = -M352146 + M146325 + M246315 + M416325 -M352164-M362145
+ M346215 + M426315 -2M362154 + M461325 -M352614 + 2M436215
+ M462315-M462153 + M463125-M356214 -M362514 + M536214
-M463152 + 3M463215 -2M365214.
[M1, M41235] = M152346-M412356 -2M412365 + M251346 + M512346-M412635
-M512364 + M351246 + 2M521346 + M451236 -M416235-M512463
+ M523146 + M531246 + 2M541236-M461235 -M513462 + M523416.
[M1, M41253] = M152364-M412536 -M412635 + M512364 -M412563 + M251364
-M512634 + M351264 + 2M521364-2M412653 -2M512643 + M451263
-M416253 + M523164 + M531264-M513642 + 2M541263-M461253
+ M523614.
[M1, M41325] = M152436-M413256 -2M413265 + M512436 + M251436-M413625
-M513264 + 2M521436 + M351426-M416325 + M524136 + M531426
+ M451326-M514263 -M461325 + M524316 -M514362 + 2M541326.
[M1, M41352] = M152463-M413526 + M251463-M413625 + M512463-M413562
+ M351462-M513624 + 2M521463-2M413652 -M513642 + M531462
-M416352 + M451362 + M524163-M514623 -2M514632 + 2M541362
+ M524613-M461352.
[M1, M41523] = M152634-M415236 -M415263-M416235 + M512634 + M251634
-M415623 + M351624 -M416253 + 2M521634 -M516234-2M416523
+ M451623 + M526134 + M531624-2M516243 -M461523-M516423
+ M526314 + 2M541623 -M516342.
[M1, M41532] = -M415326 + M152643 -M416325-M415362 + M251643 + M512643
-M516324-M415632 + M351642 + 2M521643 -M416352-2M416532
-M516423 + M451632 + M531642 + M526143 -M516342-M461532
-3M516432 + 2M541632 + M526413.
[M1, M42135] = -M421356 + M153246 + M253146 + M513246 -2M421365 + M352146
+ M531246-M521364 -M421635 + M523146 -M521463 + 3M532146
+ M452136-M426135 -M531462 + M532416 + 2M542136-M462135.
[M1, M42153] = -M421536 + M153264 -M421635 + M253164 + M513264-M421563
-M521634 + M531264 + M352164 + M523164 -2M421653 + M452163
+ 3M532164-2M521643 -M426153 + M532614 + 2M542163-M462153
-M531642.
[M1, M42315] = -M423156 + M153426 + M253416 + M513426 -2M423165 + M352416
-M523164 + M523416 + M531426-M423615 -M524163 + M452316
+ 2M532416 + M534126 -M426315-M534162 + 2M542316 + 2M534216
-M462315.
[M1, M42513] = -M425136 + M153624 -M425163 + M513624 -M426135 + M253614
+ M523614-M425613 -M426153 + M531624 -M526134 + M352614
+ 2M532614-2M426513 + M536124 + M452613 -2M526143-M462513
-M536142-M526413 + 2M542613 + 2M536214.
[M1, M43125] = M154236-M431256 -2M431265 + M254136 + M514236-M431625
-M531264 + M354126 + M524136 + M541236 -M436125-M541263
+ M534126 + 2M542136 + M453126-M463125 -M541362 + M542316
+ 3M543126.
[M1, M43152] = -M431526 + M154263 -M431625 + M254163 + M514263-M431562
-M531624 + M541263 -2M431652 + M524163 + M354162 + M534162
-M541623 + M453162 + 2M542163-M531642 -M436152-2M541632
+ 3M543162-M463152 + M542613.
[M1, M43215] = M154326-M432156 -2M432165 + M254316 + M514326 + M354216
-M432615-M532164 + M541326 + M524316 + M453216 + M542316
-M436215-M542163 + M543126 + M534216 -M463215-M543162
+ 5M543216.
Degree 2 by degree 4:
[M12, M1234] = 2M132456-2M123546 -M123645 + M312456 + M134256 + M142356
+ M231456-M125346 -M123564-M124536 -M124635 + M314256
-M125364 + M241356 + M162345 + M251346 + M314526 + 2M341256
+ M134562-M134625 -M234516-M152364 -2M125634-M512346
+ M341526 + M314562 + M261345 + M351246 -M135624-M152634
-M234615-M512364 + M451236 + M361245 + M345126 + M341562
-M156234-M235614 -M512634-M145623 -M245613 + M345162
+ M461235-M516234.
[M12, M1243] = M123465-M124356 + 2M132465-M125346 -M124536 + M312465
+ M134265 + M142365 -M126345 + M231465 -3M125436-M124563
-2M126435 + M314265 + M134625-M135426 + M152364-2M125463
-M152436 + M241365 -M126453 + M251364 + M162354-M235416
+ M314625 + 2M341265 + M134652-M126534 -M152463-M136425
-M125643-M512436 -M136524-M236415 + M261354 + M314652
+ M341625-M152643 -M512463 + M351264 -M236514 + M451263
+ M361254-M146523 + M346125 + M341652 -M156243-M512643
+ M461253-M246513 + M346152-M516243.
[M12, M1324] = M123546-M132456 -M132564 + M312546 -M132645 + M231546
-M135264-M153246 -M143526 + M135426 + M315246 + M152436
-M142635 + M241536 + M251436-M135624 -M153264-M513246
-M243516-M152634 -M143625 + M162435 + M351246 + M135462
+ M315426 + M341526 -M513264-2M153624 -M243615 + M261435
+ M315462 + 2M351426 -M156324-M513624 -M253614 + M451326
+ M351462 + M354126 + M361425-M154623 -M254613-M516324
+ M354162 + M461325.
[M12, M1342] = M123564-M134256 + 2M132564-M135246 -M134526 + M231564
+ M312564 + M135264 -2M135426-M145236 -M136245 + M142563
-M134562-M136425 + M135624 + M315264 -2M145326 + M241563
+ M152463-2M135462 -M146235-M153426 -M136452 + M315624
-M145362-2M146325 -M245316 + M162453 -M156234 + M251463
+ M341562-M153462 -M513426 + M351264 + M351624 + M315642
-2M156324-M146352 -M246315 + M351462 + M261453-M153642
-M513462 + M356124 + M351642 + M451362 + M361452-M156423
-2M156342-M513642 -M256314 + M356142 -M256413 + M461352
-M516342.
[M12, M1423] = M123645-M142356 -M152346-M142536 + 2M132645-2M152436
-M162345 + M312645 + M231645-M145236 + M136245-M142563
+ M142635 + M136425 + M316245-2M162435 + M241635-M152463
-2M154236 + M152634 -M145263-M153426 + M136452 + M251634
-M253416-M163425 -M162453 + M361245 + M316425 + M341625
-M164235-2M154263 -M514236-M145623 + M351624-M263415
+ M261534 + M316452 -M164253-M514263 + M361425-2M154623
-M163524-M263514 + M361524 + M451623 + M361452 + M364125
-M156423-2M164523 -M514623 + M461523 + M364152-M516423
-M264513.
[M12, M1432] = -M143256 + M123654 + 2M132654-M153246 -M143526 + M136254
+ M312654-M143562 -M145326-M153426 -M154236-M163245
+ M231654 + M142653 + M136524-M145362 -4M154326-M153462
-M163425-M164235 + M152643 + M241653 + M316254 + M136542
+ M361254-3M154362 -3M164325-M165234 -M514326 + M251643
-M145632 + M162543 -M163452-M254316 + M316524 + M341652
+ M351642 + M361524 + M316542-2M154632 -2M164352-M514362
+ M261543-2M165324 -M264315 + M365124 + 2M361542 + M451632
-M156432-M164532 -M514632-M165423 -M165342-M265314
+ M365142 + M461532 -M516432-M265413.
[M12, M2134] = -M213456 + M124356 + M134256-2M213546 + M142356-M215346
+ 3M143256-M213564 -M213645 + M234156 -M214536 + M412356
+ 2M243156-M251346 + M153246-M215364 -M214635-M314526
+ M143526 + 2M413256 -M324516 + M423156 + M253146-M521346
+ M143562-M251364 -2M215634 + M163245 -M314625 + M413526
+ M431256 + M342156 -M521364-M251634 -M315624 + M352146
-M324615 + M413562 + M431526 + M263145 -M521634-M256134
+ M362145-M415623 -M325614 + M431562 + M435126 + M452136
-M526134-M425613 + M462135 + M435162.
[M12, M2143] = M124365-M214356 -M215346-M214536 + M134265 + M142365
+ M234165-3M215436 -M214563-M216345 + 3M143265 + M412365
-M315426 + 2M243165 -2M216435-M251436 -2M215463 + M153264
+ M143625 + 2M413265 -M325416-M316425 + M423165 + M253164
+ M342165-M216534 -M216453-M521436 -M251463-M215643
+ M163254 + M143652 + M413625 + M431265 -M326415-M251643
+ M352164-M521463 + M263154-M316524 + M413652 + M431625
+ M362154-M326514 -M416523-M521643 -M256143 + M452163
+ M431652 + M436125 -M426513-M526143 + M462153 + M436152.
[M12, M2314] = M124536-M231456 + M134526 + M142536 -2M231546 + M412536
+ M145236-M241536 + M234516 + 2M143526 -M231645-M235146
-M231564-M253146 + M413526 + M153426 + M415236 + 2M145326
-M241635 + 2M243516 -M235164-M341526 -M253164-M341625
+ M451236 + M145362 + 2M415326 + M245316 + M163425 + M423516
-M523146-M235614 + M253416-M251634 -M523164-M253614
-M351624 + 2M451326 + M415362 + M425316 -M342615 + M263415
+ M352416-M523614 -M451623 + M453126 + M451362 + 2M452316
-M256314-M352614 + M362415-M452613 + M453162 + M462315
-M526314.
[M12, M2413] = -M241356 + M124635 -M251346 + M134625 + M142635-M241536
+ M412635 + M146235 + M234615 + 2M143625 -2M251436-M261345
-M245136-M241563 + M416235 + 2M146325 + M153624 + 2M243615
-M251463-2M261435 + M413625-M351426 -2M254136-M245163
+ M253614 + M461235 + 2M416325 + M146352 -M261534 + M246315
-M524136-M361425 + M163524 + M342615 -2M254163-M245613
-M352416-M264135 -M261453 + M423615 + 2M461325 + M416352
-M361524 + M426315 -2M254613-M524163 + M352614-M362415
-M264153 + M263514 + M452613 + M463125 + M461352-M461523
+ M462315-M256413 -M524613-M264513 -M526413 + M463152.
[M12, M3124] = -M312456 + M125346 + M152346 + M135246 -2M312546 + 2M153246
+ M512346 + M235146 -M412536 + M145236 -M315246-M312564
-M312645 + M253146 + 2M513246 + 2M154236 + M153426-M413526
-M412635-M351246 -M315264 + M245136 + M513426 + M153462
+ M514236 + M164235 -M351264-M315624 -M413625 + M345126
+ 2M254136-M423516 + M523146-M512634 -M513624 + M513462
+ M531426-M351624 -M531264 + 2M354126 + M524136 + M264135
-M423615-M523614 + M531462 + M453126 -M514623-M531624
-M356124 + 2M534126 + M364125 + M463125 -M536124-M524613
+ M534162.
[M12, M3142] = M125364-M314256 -M314526 + M135264 -M315246 + M152364
-2M315426-M314562 + M145263 + M235164 -M316245-M415236
+ M512364 + 2M153264 -2M315462-M351426 -M316425-2M415326
+ M253164 + M245163 + M153624-M416235 + 2M513264 + 2M154263
-M315642-M316452 -M531426-M351462 + M513624-M415362
-2M416325-M425316 + M523164 + M531264 + 2M254163-M516234
+ M345162 + M164253 + M153642 + M514263 -M351642-M531462
-M416352 + 2M354162 -M426315 + M531624 + M524163-2M516324
+ M264153 + M513642 -M356142 + M453162 + M534162 + M536124
-M516423-M516342 -M526314 + M364152 + M463152-M526413.
[M12, M3214] = -M321456 + M125436 + M135426 + M152436 -2M321546 + M235416
+ M145326 + M153426 + M512436 + M154236 -M321645-M325146
-M321564-M421536 -M421635 + M513426 + M245316 + M253416
-M431526 + 4M154326 + M514236-M325164 -M352146 + M523416
-M431625-M432516 + M345216-M521634 + M154362 + M541236
+ 3M514326 + 3M254316 + M164325-M352164 -M325614-M532146
+ 2M541326 + 2M354216 -M532164-M531624 -M432615 + M514362
+ 2M524316-M352614 + M264315 + M541362 -2M532614 + M542316
-M541623 + M364215 + M453216 + M534216 + M543126-M356214
+ M543162-M536214 -M542613 + M463215.
Degree 3 by degree 3:
[M123, M132] = M123465-M132456 + 2M124365-M134256 -M142356 + M142365
+ M124635 + M134265 -3M143256-M134526 -M152346 + M125364
+ M142635 + M412365 + M124653 + M126354 -2M143526-M413256
-M134562 + M135264 -2M153246-M243156 + M234165-M162345
-M145326 + M142653 + M412635 + M146235 + M235164-M413526
-2M143562-M153426 + M136254-M154236 + M145263-M253146
-2M163245-M415326 + M412653 + 2M146253 -M164235 + M236154
-M263145-M163425 + M245163-M413562 -M145362-M153462
-M254136 + M416235 -M415362-M354126 -M264135 + M416253
+ M146523 + M461235 + M345162 + M156243 + M246153-M163452
-M451326-M145632 -M165234 + M346152 -M364125 + M461253
+ M416523 + M256143 -M415632-M451362 -M265134 + M356142
+ M461523-M365124 -M451632.
[M123, M213] = -M213456 + M123546 + M125346-2M214356 + M124536-M215346
-M214536-M241356 + M134526-M314256 + M152346 + 3M125436
+ 2M135426 + M512346 + M125463 + M234516 + M126435-M216345
-M324156-M421356 -M241536-M214563 -M315246 + 2M152436
+ 2M235416 + M145326 + M152463 + M136425 -M245136-M241563
+ M153426 + 2M512436 + M154236-M316245 -M415236-M325146
-M421536 + M513426 + M512463 + M154263 + M245316-M326145
-2M425136-M421563 + M253416-M245163 + M146325 + M236415
+ M514236-M416235 -M426135 + M523416 + M514263 + M154623
+ M156324-M516234 + M246315-M425163 -M452136-M245613
+ M345216-M435126 + M541236 + M541263 + M514623 + M346215
+ M256314-M526134 -M425613-M452163 -M436125 + M541623
-M536124-M452613 + M356214.
[M132, M123] = -M123465 + M132456 -2M124365 + M134256 + M142356 + M152346
-M142365-M124635 -M134265 + 3M143256 + M134526-M125364
+ M162345-M142635 -M412365-M124653 + 2M143526 + M413256
+ M134562 + 2M153246 -M135264-M126354 + M243156-M234165
+ M145326-M145263 -M142653-M412635 -M146235 + 2M163245
+ M413526 + 2M143562 + M153426-M136254 -M235164 + M154236
+ M253146 + M163425 + M415326 + M254136 -M412653-2M146253
-M245163-M236154 + M413562 + M145362 + M153462 + M164235
+ M263145-M416235 + M415362-M416253 -M146523-M461235
-M156243 + M354126 -M246153 + M165234 -M345162 + M451326
+ M145632 + M163452 + M264135-M346152 -M461253-M416523
-M256143 + M415632 + M451362 + M364125 + M265134-M356142
-M461523 + M365124 + M451632.
[M132, M213] = M132546-M213465 + M142536-2M214365 + M135246 + M135426
-M314265-M241365 -M214635 + M153246 + M152436 + M143526
+ M145236-M215364 -M421365 + 2M145326 + M162435-M315264
-M241635-M214653 -M216354-M324165 + M243516 + M513246
+ M135462 + 2M153426 + 2M154236-M421635 + M163425 + M145362
+ M164235 + M513426 -M415263-M316254 + M245316-M246135
-M241653 + M253416 + M153462 + 6M154326 + M514236-M325164
-M421653-M426135 -M425163-M326154 -M416253 + M263415
-M246153 + M513462 + 3M154362 + 3M514326 + 3M254316 + 3M164325
-M462135-2M426153 -M435162 + M541326 + M164352 + M165324
+ M354216-M516243 -M246513 + M154632 + 2M514362 + M524316
+ 2M264315-M462153 -M426513 + M541362 + M265314-M436152
+ M364215 + M514632 -M526143-M462513 -M536142 + M541632
+ M365214.
[M213, M123] = M213456-M123546 + 2M214356-M125346 -M124536 + M314256
+ M241356 + M214536 -M152346-M134526 + M215346-3M125436
+ M315246-M234516 + M241536 + M214563 + M421356-2M135426
-M512346-M125463 -M126435 + M216345 + M324156-2M152436
+ M241563 + M245136 -2M235416-M145326 -M152463 + M316245
-M136425-M153426 -2M512436-M154236 + M415236 + M325146
+ M421536 + M245163 + 2M425136 + M421563 -M513426-M512463
-M154263-M245316 -M236415-M146325 + M326145-M253416
+ M416235-M514236 + M435126 + M426135 + M425163 + M245613
-M523416 + M452136 -M514263-M154623 -M246315 + M516234
-M156324-M345216 -M541236 + M436125 + M425613 + M452163
-M514623-M541263 -M256314 + M526134 -M346215 + M536124
+ M452613-M541623 -M356214.
[M213, M132] = M213465-M132546 -M142536 + 2M214365 -M135246-M143526
-M135426-M145236 + M241365 + M214635 + M314265-M153246
-M152436 + M215364 + M421365 + M315264 -2M145326 + M241635
+ M214653-M135462 -M513246-M243516 + M324165-M162435
-2M153426-2M154236 + M216354 + M421635 -M513426-M245316
+ M415263 + M246135 + M241653-M253416 -M164235-M153462
-M145362-M163425 -6M154326-M514236 + M325164 + M316254
+ M421653 + M426135 -M263415 + M425163 + M246153-M513462
+ M416253-3M154362 -3M514326-3M254316 -3M164325 + M326154
+ M462135 + 2M426153 + M516243-M541326 -M354216-M165324
+ M246513 + M435162 -M154632-M164352 -2M514362-M524316
-2M264315 + M462153 + M426513-M541362 -M265314 + M526143
-M364215-M514632 + M436152 + M462513 + M536142-M365214
-M541632.
Created 24 February 2002 by Frank Sottile