10 143 Quantum Invariants: Difference between revisions
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Revision as of 19:20, 4 December 2005
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | [math]\displaystyle{ -q^{17}+q^{15}-q^{13}+q^{11}-q^9+2 q^5+2 q- q^{-1} }[/math] |
| 2 | [math]\displaystyle{ q^{48}-q^{46}-q^{44}+3 q^{42}-q^{40}-4 q^{38}+3 q^{36}+2 q^{34}-5 q^{32}+q^{30}+4 q^{28}-3 q^{26}+3 q^{22}-q^{20}-4 q^{18}-q^{16}+4 q^{14}-3 q^{12}-q^{10}+7 q^8-2 q^4+4 q^2-2 q^{-2} }[/math] |
| 3 | [math]\displaystyle{ -q^{93}+q^{91}+q^{89}-q^{87}-2 q^{85}+q^{83}+5 q^{81}-7 q^{77}-3 q^{75}+7 q^{73}+8 q^{71}-5 q^{69}-13 q^{67}+14 q^{63}+7 q^{61}-13 q^{59}-12 q^{57}+10 q^{55}+15 q^{53}-6 q^{51}-15 q^{49}+3 q^{47}+12 q^{45}-q^{43}-10 q^{41}-2 q^{39}+10 q^{37}+4 q^{35}-4 q^{33}-10 q^{31}+q^{29}+11 q^{27}+q^{25}-16 q^{23}-7 q^{21}+15 q^{19}+11 q^{17}-10 q^{15}-12 q^{13}+9 q^{11}+14 q^9+q^7-9 q^5-q^3+4 q+4 q^{-1} -2 q^{-3} -3 q^{-5} - q^{-7} + q^{-11} }[/math] |
A2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | [math]\displaystyle{ -q^{24}-q^{20}+q^{16}-q^{14}+q^{12}+2 q^8+2 q^6+q^2-1 }[/math] |
| 1,1 | [math]\displaystyle{ q^{68}-2 q^{66}+4 q^{64}-8 q^{62}+15 q^{60}-20 q^{58}+26 q^{56}-34 q^{54}+37 q^{52}-34 q^{50}+24 q^{48}-14 q^{46}-5 q^{44}+24 q^{42}-42 q^{40}+58 q^{38}-61 q^{36}+66 q^{34}-62 q^{32}+50 q^{30}-42 q^{28}+18 q^{26}-6 q^{24}-14 q^{22}+24 q^{20}-32 q^{18}+42 q^{16}-28 q^{14}+30 q^{12}-14 q^{10}+16 q^8-6 q^6+2 q^4-4 q^2-2 q^{-2} + q^{-4} }[/math] |
| 2,0 | [math]\displaystyle{ q^{62}+q^{56}+q^{54}-q^{52}-2 q^{50}-q^{48}-3 q^{44}-2 q^{42}+2 q^{40}+q^{38}+q^{36}+2 q^{34}+3 q^{32}-3 q^{28}-3 q^{26}-4 q^{24}-5 q^{22}+q^{20}+4 q^{18}+3 q^{16}+4 q^{14}+6 q^{12}+3 q^{10}-q^6+q^4-q^2-2 }[/math] |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | [math]\displaystyle{ q^{54}-q^{52}+q^{48}-2 q^{46}+2 q^{44}+2 q^{42}-3 q^{40}+2 q^{38}-6 q^{34}-2 q^{32}-q^{30}-3 q^{28}+2 q^{24}+3 q^{22}+2 q^{20}+q^{18}+6 q^{16}+5 q^{10}-q^8-3 q^6+2 q^4-q^2-1+ q^{-2} }[/math] |
| 1,0,0 | [math]\displaystyle{ -q^{31}-2 q^{27}-q^{23}+q^{21}+q^{17}+q^{15}+q^{13}+2 q^{11}+q^9+2 q^7-q^5+q^3-q }[/math] |
| 1,0,1 | [math]\displaystyle{ q^{88}-2 q^{86}+3 q^{84}-3 q^{82}+q^{80}+6 q^{78}-11 q^{76}+13 q^{74}-10 q^{72}+13 q^{68}-21 q^{66}+26 q^{64}-25 q^{62}+8 q^{60}+4 q^{58}-25 q^{56}+31 q^{54}-23 q^{52}+23 q^{50}-4 q^{48}+9 q^{46}-7 q^{44}-5 q^{42}-4 q^{40}-25 q^{38}+20 q^{36}-38 q^{34}+34 q^{32}-20 q^{30}+4 q^{28}+22 q^{26}-24 q^{24}+32 q^{22}-9 q^{20}+12 q^{18}+11 q^{16}+q^{14}+7 q^{12}+q^{10}-6 q^8-q^6-2 q^4-4 q^2+3-2 q^{-2} + q^{-4} }[/math] |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | [math]\displaystyle{ q^{68}+q^{62}-q^{60}-q^{58}+3 q^{56}+2 q^{54}-q^{52}+2 q^{50}+2 q^{48}-4 q^{46}-9 q^{44}-6 q^{42}-6 q^{40}-10 q^{38}-3 q^{36}+5 q^{34}+3 q^{32}+5 q^{30}+12 q^{28}+7 q^{26}+3 q^{24}+5 q^{22}+4 q^{20}-q^{18}-3 q^{16}+2 q^{14}-3 q^{10}-q^8+2 q^6-q^4+1 }[/math] |
| 1,0,0,0 | [math]\displaystyle{ -q^{38}-2 q^{34}-q^{32}-q^{30}-q^{28}+q^{26}+2 q^{22}+q^{20}+2 q^{18}+q^{16}+2 q^{14}+q^{12}+q^{10}+q^8-q^6+q^4-q^2 }[/math] |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | [math]\displaystyle{ -q^{54}+q^{52}-2 q^{50}+3 q^{48}-4 q^{46}+4 q^{44}-4 q^{42}+3 q^{40}-2 q^{38}+2 q^{34}-4 q^{32}+5 q^{30}-7 q^{28}+8 q^{26}-8 q^{24}+7 q^{22}-4 q^{20}+3 q^{18}+4 q^{12}-3 q^{10}+5 q^8-3 q^6+4 q^4-3 q^2+1- q^{-2} }[/math] |
| 1,0 | [math]\displaystyle{ q^{88}-q^{84}-q^{82}+q^{80}+2 q^{78}-q^{76}-3 q^{74}+4 q^{70}+3 q^{68}-3 q^{66}-4 q^{64}+q^{62}+4 q^{60}-5 q^{56}-3 q^{54}+q^{52}+q^{50}-2 q^{48}-3 q^{46}+q^{44}+3 q^{42}-3 q^{38}+4 q^{34}+2 q^{32}-2 q^{30}-2 q^{28}+4 q^{26}+4 q^{24}-3 q^{20}+2 q^{18}+5 q^{16}+3 q^{14}-3 q^{12}-3 q^{10}+3 q^6-2 q^2-1+ q^{-4} }[/math] |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 | [math]\displaystyle{ q^{74}-q^{72}+q^{70}-2 q^{68}+3 q^{66}-3 q^{64}+3 q^{62}-3 q^{60}+4 q^{58}-2 q^{56}+2 q^{54}-q^{52}-q^{50}-q^{48}-6 q^{46}-7 q^{42}+2 q^{40}-8 q^{38}+6 q^{36}-4 q^{34}+9 q^{32}-q^{30}+7 q^{28}+q^{26}+5 q^{24}+3 q^{22}+2 q^{18}-2 q^{16}+4 q^{14}-3 q^{12}+2 q^{10}-4 q^8+3 q^6-2 q^4+q^2-1+ q^{-2} }[/math] |
G2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | [math]\displaystyle{ q^{128}-q^{126}+2 q^{124}-3 q^{122}+2 q^{120}-q^{118}-2 q^{116}+7 q^{114}-8 q^{112}+9 q^{110}-7 q^{108}+5 q^{104}-13 q^{102}+15 q^{100}-11 q^{98}+2 q^{96}+6 q^{94}-11 q^{92}+11 q^{90}-6 q^{88}-4 q^{86}+8 q^{84}-13 q^{82}+7 q^{80}+2 q^{78}-12 q^{76}+18 q^{74}-14 q^{72}+8 q^{70}+2 q^{68}-11 q^{66}+14 q^{64}-19 q^{62}+15 q^{60}-3 q^{58}-4 q^{56}+10 q^{54}-14 q^{52}+14 q^{50}-q^{48}-5 q^{46}+5 q^{44}-9 q^{42}+9 q^{40}+8 q^{38}-13 q^{36}+14 q^{34}-7 q^{32}+3 q^{30}+10 q^{28}-16 q^{26}+11 q^{24}-6 q^{22}+5 q^{20}+2 q^{18}-8 q^{16}+7 q^{14}-3 q^{12}+3 q^{10}-q^8-q^6-q^4-q^2+1- q^{-2} + q^{-4} }[/math] |
