10 148 Quantum Invariants: Difference between revisions
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Latest revision as of 11:59, 28 June 2006
Further quantum knot invariants for 10_148.
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{17}+q^{15}-2 q^{13}+q^{11}+q^7+2 q^5-q^3+2 q- q^{-1} } |
| 2 | |
| 3 | |
| 5 | |
| 6 |
A2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | |
| 1,1 | |
| 2,0 |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | |
| 1,0,0 | |
| 1,0,1 |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{68}+q^{64}+3 q^{62}+5 q^{56}+q^{54}-5 q^{52}-2 q^{50}-q^{48}-9 q^{46}-13 q^{44}-6 q^{42}-5 q^{40}-10 q^{38}-q^{36}+10 q^{34}+5 q^{32}+9 q^{30}+18 q^{28}+11 q^{26}+4 q^{24}+6 q^{22}+4 q^{20}-5 q^{18}-7 q^{16}-q^{12}-5 q^{10}-q^8+3 q^6-q^4+1} |
| 1,0,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{38}-3 q^{34}-2 q^{32}-2 q^{30}-2 q^{28}+q^{26}+q^{24}+4 q^{22}+3 q^{20}+4 q^{18}+2 q^{16}+2 q^{14}-2 q^6+q^4-q^2} |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{54}+q^{52}-3 q^{50}+4 q^{48}-5 q^{46}+6 q^{44}-6 q^{42}+4 q^{40}-3 q^{38}+2 q^{34}-6 q^{32}+8 q^{30}-10 q^{28}+11 q^{26}-10 q^{24}+10 q^{22}-5 q^{20}+5 q^{18}+q^{16}-q^{14}+5 q^{12}-5 q^{10}+6 q^8-6 q^6+5 q^4-3 q^2+1- q^{-2} } |
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{88}-q^{84}-q^{82}+2 q^{80}+3 q^{78}-q^{76}-4 q^{74}-q^{72}+5 q^{70}+4 q^{68}-5 q^{66}-6 q^{64}+q^{62}+6 q^{60}-7 q^{56}-4 q^{54}+2 q^{52}+q^{50}-4 q^{48}-4 q^{46}+q^{44}+4 q^{42}-3 q^{38}+q^{36}+7 q^{34}+4 q^{32}-q^{30}-2 q^{28}+6 q^{26}+6 q^{24}-q^{22}-6 q^{20}+q^{18}+6 q^{16}+2 q^{14}-5 q^{12}-5 q^{10}+q^8+4 q^6-2 q^2-1+ q^{-4} } |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{74}-q^{72}+2 q^{70}-2 q^{68}+4 q^{66}-4 q^{64}+4 q^{62}-5 q^{60}+5 q^{58}-4 q^{56}+2 q^{54}-2 q^{52}-q^{50}-q^{48}-8 q^{46}+q^{44}-10 q^{42}+3 q^{40}-11 q^{38}+8 q^{36}-5 q^{34}+13 q^{32}+11 q^{28}+3 q^{26}+8 q^{24}+4 q^{22}-q^{20}+2 q^{18}-5 q^{16}+4 q^{14}-6 q^{12}+2 q^{10}-6 q^8+4 q^6-2 q^4+q^2-1+ q^{-2} } |
G2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{128}-q^{126}+3 q^{124}-4 q^{122}+3 q^{120}-q^{118}-3 q^{116}+9 q^{114}-13 q^{112}+15 q^{110}-11 q^{108}-q^{106}+12 q^{104}-22 q^{102}+25 q^{100}-18 q^{98}+3 q^{96}+10 q^{94}-23 q^{92}+20 q^{90}-11 q^{88}-7 q^{86}+17 q^{84}-21 q^{82}+10 q^{80}+5 q^{78}-21 q^{76}+28 q^{74}-25 q^{72}+12 q^{70}+4 q^{68}-20 q^{66}+31 q^{64}-29 q^{62}+22 q^{60}-5 q^{58}-8 q^{56}+22 q^{54}-24 q^{52}+20 q^{50}-5 q^{48}-6 q^{46}+19 q^{44}-16 q^{42}+7 q^{40}+12 q^{38}-21 q^{36}+25 q^{34}-14 q^{32}-2 q^{30}+17 q^{28}-24 q^{26}+24 q^{24}-13 q^{22}+2 q^{20}+7 q^{18}-13 q^{16}+10 q^{14}-7 q^{12}+3 q^{10}-2 q^6-q^2+1- q^{-2} + q^{-4} } |