10 161 Quantum Invariants: Difference between revisions
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Revision as of 19:21, 4 December 2005
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | [math]\displaystyle{ -q^{23}+q^{11}+q^7+q^5 }[/math] |
| 2 | [math]\displaystyle{ q^{64}-q^{60}+q^{56}-q^{52}+q^{48}-q^{46}-q^{44}-q^{40}-q^{32}+q^{28}+q^{22}+q^{20}+q^{14}+q^{12}+q^{10} }[/math] |
| 3 | [math]\displaystyle{ -q^{123}+q^{119}+q^{117}-2 q^{113}-q^{111}+q^{109}+2 q^{107}+q^{105}-q^{103}-2 q^{101}-q^{99}+2 q^{97}+2 q^{95}-q^{93}-2 q^{91}+q^{89}+3 q^{87}-q^{83}+q^{81}+q^{79}-q^{77}-q^{75}-q^{73}-q^{71}-q^{69}-q^{67}-q^{65}+q^{61}-2 q^{57}-q^{55}+3 q^{53}+2 q^{51}-2 q^{49}-3 q^{47}-q^{45}+3 q^{43}+q^{41}-q^{39}-q^{37}+2 q^{33}+q^{31}+q^{29}+q^{21}+q^{19}+q^{17}+q^{15} }[/math] |
A2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | [math]\displaystyle{ -q^{34}-q^{30}-q^{28}+q^{22}+q^{18}+q^{16}+q^{14}+q^{12}+q^{10} }[/math] |
| 1,1 | [math]\displaystyle{ q^{92}+2 q^{88}-2 q^{86}-2 q^{80}+4 q^{78}-6 q^{76}+4 q^{74}-2 q^{72}+2 q^{70}-2 q^{66}+4 q^{64}-2 q^{62}+4 q^{60}-4 q^{58}+4 q^{56}-6 q^{54}-4 q^{50}-6 q^{48}-5 q^{44}+2 q^{42}-2 q^{40}+2 q^{38}+4 q^{36}+2 q^{34}+2 q^{32}+2 q^{30}+3 q^{28}+4 q^{26}+2 q^{24}+2 q^{22}+q^{20} }[/math] |
| 2,0 | [math]\displaystyle{ q^{86}+q^{84}-q^{72}+q^{70}+q^{66}-q^{62}-q^{60}-2 q^{58}-3 q^{56}-4 q^{54}-2 q^{52}-2 q^{50}+q^{44}+2 q^{42}+2 q^{40}+2 q^{38}+q^{36}+q^{34}+2 q^{32}+q^{30}+q^{28}+q^{26}+2 q^{24}+q^{22}+q^{20} }[/math] |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | [math]\displaystyle{ q^{74}+q^{70}-q^{62}-q^{58}-q^{56}-q^{54}-q^{52}-q^{50}-q^{48}-q^{46}-2 q^{44}-q^{42}-q^{40}+q^{36}+q^{34}+3 q^{32}+2 q^{30}+3 q^{28}+2 q^{26}+2 q^{24}+q^{22}+q^{20} }[/math] |
| 1,0,0 | [math]\displaystyle{ -q^{45}-q^{41}-q^{39}-q^{37}-q^{35}+q^{29}+q^{27}+q^{25}+q^{23}+2 q^{21}+q^{19}+q^{17}+q^{15} }[/math] |
| 1,0,1 | [math]\displaystyle{ q^{120}+2 q^{116}+q^{112}-2 q^{110}-q^{108}-2 q^{106}-q^{104}+2 q^{102}-3 q^{100}+4 q^{98}-2 q^{96}+4 q^{94}-3 q^{92}+q^{90}-2 q^{86}+5 q^{84}-q^{82}+8 q^{80}-q^{78}+8 q^{76}-q^{74}-3 q^{72}-3 q^{70}-10 q^{68}-8 q^{66}-13 q^{64}-6 q^{62}-9 q^{60}-3 q^{58}-3 q^{56}-q^{54}+3 q^{52}+3 q^{50}+7 q^{48}+5 q^{46}+7 q^{44}+8 q^{42}+6 q^{40}+7 q^{38}+5 q^{36}+3 q^{34}+2 q^{32}+q^{30} }[/math] |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | [math]\displaystyle{ 2 q^{92}+2 q^{90}+2 q^{88}+2 q^{86}+2 q^{84}-2 q^{80}-3 q^{78}-3 q^{76}-4 q^{74}-4 q^{72}-2 q^{70}-2 q^{68}-2 q^{66}-q^{62}-2 q^{60}-2 q^{58}-2 q^{56}-2 q^{54}-2 q^{52}+q^{50}+3 q^{48}+4 q^{46}+4 q^{44}+6 q^{42}+4 q^{40}+4 q^{38}+3 q^{36}+2 q^{34}+q^{32}+q^{30} }[/math] |
| 1,0,0,0 | [math]\displaystyle{ -q^{56}-q^{52}-q^{50}-q^{48}-q^{46}-q^{44}-q^{42}+q^{36}+q^{34}+2 q^{32}+q^{30}+2 q^{28}+2 q^{26}+q^{24}+q^{22}+q^{20} }[/math] |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | [math]\displaystyle{ -q^{74}-q^{70}+q^{62}+q^{58}-q^{56}+q^{54}-q^{52}-q^{50}-q^{48}-q^{46}-q^{42}+q^{40}+q^{36}+q^{34}+q^{32}+q^{28}+2 q^{26}+q^{22}+q^{20} }[/math] |
| 1,0 | [math]\displaystyle{ q^{120}+q^{112}-q^{108}+q^{104}-q^{100}-q^{92}-q^{90}-q^{84}-q^{82}-q^{78}-q^{74}-q^{72}-q^{70}-q^{64}+q^{60}+q^{58}-q^{56}+q^{54}+q^{52}+q^{50}+q^{48}+q^{46}+q^{44}+2 q^{42}+q^{38}+q^{36}+q^{34}+q^{30} }[/math] |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 | [math]\displaystyle{ q^{102}+q^{98}+q^{94}-q^{90}-q^{86}-q^{82}-2 q^{78}-q^{74}-q^{72}-q^{70}-q^{68}-q^{66}-q^{64}-q^{62}-2 q^{60}-q^{58}-2 q^{56}-q^{52}+q^{50}+2 q^{48}+2 q^{46}+3 q^{44}+4 q^{42}+3 q^{40}+2 q^{38}+3 q^{36}+q^{34}+q^{32}+q^{30} }[/math] |
G2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | [math]\displaystyle{ q^{176}+q^{172}-q^{170}+q^{166}-q^{164}+q^{162}+q^{160}-q^{158}+q^{156}-q^{154}-q^{152}+2 q^{150}-4 q^{148}-2 q^{142}+q^{140}-2 q^{138}-q^{136}-2 q^{132}-q^{130}-q^{126}+q^{124}+q^{118}+q^{116}-q^{112}+2 q^{110}-q^{108}+2 q^{106}-2 q^{102}+2 q^{100}-q^{98}-q^{96}-2 q^{92}+q^{88}-2 q^{86}+2 q^{84}+q^{78}-q^{76}+2 q^{74}+2 q^{72}+q^{70}+q^{68}+q^{66}+q^{64}+2 q^{62}+q^{58}+q^{56}+q^{52}+q^{50} }[/math] |
