10 132 Quantum Invariants
From Knot Atlas
Jump to navigationJump to search
Further quantum knot invariants for 10_132.
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^{15}+q^7+q^5+q^3} |
| 2 | 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^{44}-q^{40}-q^{30}-q^{24}+q^{16}+q^{14}+q^{10}+q^6+2- q^{-4} } |
| 3 | 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^{87}+q^{83}+q^{81}-q^{77}+q^{67}-q^{63}+q^{59}+q^{57}-q^{55}-q^{53}-q^{45}-q^{43}+q^{39}-q^{35}+q^{31}-q^{27}-q^{25}+q^{17}+2 q^{15}+2 q^{13}+q^7+2 q^5+q^3-q- q^{-1} } |
A2 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^{22}-q^{20}-q^{18}+q^{14}+q^{12}+2 q^{10}+q^8+q^6} |
| 1,1 | 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^{60}+2 q^{56}-2 q^{50}-2 q^{48}-2 q^{44}+2 q^{36}-2 q^{34}-2 q^{30}-q^{28}-2 q^{24}+2 q^{22}-q^{20}+4 q^{18}+6 q^{14}+q^{12}+4 q^{10}+2 q^8-2 q^6+2 q^4-2 q^2+2-2 q^{-2} } |
| 2,0 | 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^{58}+q^{56}+q^{54}-q^{48}-q^{46}-2 q^{44}-2 q^{42}-2 q^{40}-q^{38}+q^{36}-q^{34}+q^{28}+q^{24}+2 q^{22}+2 q^{20}+q^{18}+q^{16}+q^{14}+q^{10}+q^8+q^4+q^2+1- q^{-2} - q^{-4} } |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | 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^{46}+q^{42}+q^{40}-2 q^{36}-2 q^{34}-4 q^{32}-5 q^{30}-2 q^{28}-q^{26}+2 q^{24}+3 q^{22}+6 q^{20}+4 q^{18}+3 q^{16}+2 q^{14}+q^{12}-q^{10}-q^8-q^4+1} |
| 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^{29}-q^{27}-2 q^{25}-q^{23}+q^{19}+2 q^{17}+2 q^{15}+2 q^{13}+q^{11}+q^9} |
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^{60}+q^{58}+2 q^{56}+2 q^{54}+2 q^{52}+q^{50}-q^{48}-4 q^{46}-6 q^{44}-8 q^{42}-9 q^{40}-8 q^{38}-5 q^{36}+4 q^{32}+8 q^{30}+11 q^{28}+11 q^{26}+8 q^{24}+6 q^{22}+q^{20}-q^{18}-3 q^{16}-2 q^{14}-2 q^{12}-q^{10}+q^6+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^{36}-q^{34}-2 q^{32}-2 q^{30}-q^{28}+q^{24}+2 q^{22}+3 q^{20}+2 q^{18}+2 q^{16}+q^{14}+q^{12}} |
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^{46}-q^{42}-q^{40}+q^{30}+q^{26}+q^{22}+q^{16}+q^{12}+q^{10}+q^8+q^4-1} |
| 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^{76}+q^{68}-q^{58}-2 q^{56}-q^{54}-q^{52}-2 q^{50}-2 q^{48}-q^{46}-q^{44}+q^{38}+q^{36}+2 q^{34}+2 q^{32}+2 q^{30}+q^{28}+2 q^{26}+2 q^{24}+q^{22}+q^{18}-q^{12}-q^4+1} |
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^{62}+q^{58}+q^{56}+q^{54}-q^{50}-2 q^{48}-4 q^{46}-4 q^{44}-5 q^{42}-4 q^{40}-3 q^{38}+q^{34}+4 q^{32}+5 q^{30}+6 q^{28}+5 q^{26}+4 q^{24}+3 q^{22}+q^{20}+q^{18}-q^{16}-q^{14}-q^{12}-q^8+1} |
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^{108}+q^{104}-q^{100}-q^{92}-q^{90}-q^{86}-q^{84}-q^{82}-2 q^{80}-q^{78}-q^{76}-2 q^{74}-q^{68}-q^{64}+q^{62}+q^{60}+q^{58}+q^{56}+q^{54}+2 q^{52}+3 q^{50}+q^{48}+q^{46}+2 q^{44}+q^{42}+2 q^{40}+q^{38}+q^{34}+q^{32}-q^{28}+q^{26}-q^{24}-q^{18}+q^{16}-q^{12}+q^4-q^2+1+ q^{-6} - q^{-8} } |