10 145 Quantum Invariants
From Knot Atlas
Jump to navigationJump to search
Further quantum knot invariants for 10_145.
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^{21}+q^{13}+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^{60}-q^{56}-q^{46}+q^{44}+q^{42}-q^{40}-q^{34}-q^{32}-q^{30}-q^{28}+q^{26}+q^{24}+2 q^{22}-q^{18}+2 q^{16}-q^{12}+q^{10}+q^8+q^6} |
| 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^{117}+q^{113}+q^{111}-q^{107}+q^{97}-q^{95}-2 q^{93}+2 q^{89}+2 q^{87}-q^{85}-q^{83}+q^{79}+2 q^{77}-2 q^{73}-q^{71}+q^{69}+q^{67}-2 q^{65}-q^{63}+q^{61}-q^{57}-q^{55}+q^{53}-q^{49}-q^{47}-q^{41}-q^{39}+2 q^{35}+2 q^{33}-q^{29}+2 q^{25}+2 q^{23}-q^{19}-q^{17}+q^{15}+q^{13}+q^{11}+q^9} |
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^{32}-q^{30}+q^{24}+q^{14}+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^{84}+2 q^{80}-2 q^{74}-4 q^{72}-2 q^{68}+2 q^{66}+2 q^{64}+2 q^{62}+6 q^{60}-2 q^{58}-4 q^{54}-3 q^{52}-2 q^{50}-2 q^{48}+2 q^{46}-2 q^{44}+2 q^{42}-4 q^{40}+2 q^{38}-4 q^{36}+2 q^{34}+2 q^{32}-2 q^{30}+4 q^{28}+4 q^{24}+q^{20}+2 q^{18}+2 q^{16}+2 q^{14}+q^{12}} |
| 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^{82}+q^{80}+q^{78}-q^{76}-q^{74}-q^{72}-q^{70}+q^{64}+q^{60}+q^{58}-q^{56}-q^{54}-q^{52}-2 q^{48}-2 q^{46}-q^{44}-2 q^{42}-q^{40}+2 q^{36}+q^{34}+2 q^{32}+2 q^{30}+q^{28}+q^{26}+q^{24}+q^{22}+2 q^{16}+q^{14}+q^{12}} |
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^{66}+q^{62}+q^{60}-2 q^{56}-q^{54}-2 q^{52}-3 q^{50}-q^{46}+2 q^{40}+q^{38}+q^{34}-q^{30}-q^{28}+q^{26}+q^{22}+3 q^{20}+q^{18}+2 q^{16}+q^{14}+q^{12}} |
| 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^{43}-q^{41}-q^{39}+q^{33}+q^{31}-q^{25}+q^{19}+q^{17}+q^{15}+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^{88}+q^{86}+q^{84}+q^{82}+q^{80}-q^{74}-2 q^{72}-2 q^{70}-2 q^{68}-3 q^{66}-3 q^{64}-2 q^{62}-2 q^{60}-2 q^{58}-q^{56}+2 q^{54}+2 q^{52}+3 q^{50}+4 q^{48}+2 q^{46}-q^{42}-2 q^{40}-3 q^{38}-q^{36}+q^{34}+2 q^{32}+3 q^{30}+3 q^{28}+4 q^{26}+2 q^{24}+2 q^{22}+q^{20}+q^{18}} |
| 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^{54}-q^{52}-q^{50}-q^{48}+q^{42}+q^{40}+q^{38}-q^{32}-q^{30}+q^{24}+q^{22}+2 q^{20}+q^{18}+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^{66}-q^{62}-q^{60}+q^{54}+q^{50}+q^{46}-q^{38}-q^{34}-q^{30}+q^{28}+q^{26}+q^{22}+q^{20}+q^{18}+q^{14}+q^{12}} |
| 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^{100}-q^{90}-2 q^{88}-q^{82}-q^{80}-q^{72}+q^{56}+q^{48}-q^{44}+q^{42}+q^{40}-q^{36}+q^{34}+q^{32}+q^{30}+q^{26}+q^{24}+q^{22}+q^{18}} |
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^{90}+q^{86}+q^{84}+q^{82}-q^{78}-q^{76}-3 q^{74}-2 q^{72}-3 q^{70}-2 q^{68}-2 q^{66}+q^{60}+2 q^{58}+2 q^{56}+2 q^{54}+q^{52}+q^{50}-2 q^{44}-q^{42}-2 q^{40}+2 q^{32}+2 q^{30}+3 q^{28}+2 q^{26}+2 q^{24}+q^{22}+q^{20}+q^{18}} |
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^{156}+q^{152}-q^{148}+q^{142}-2 q^{138}-q^{130}-3 q^{128}-q^{126}+q^{124}-q^{122}-q^{120}-q^{118}-2 q^{116}+2 q^{114}-2 q^{112}-q^{110}+q^{108}+2 q^{104}+2 q^{102}+q^{98}+q^{96}+2 q^{92}+q^{88}+2 q^{82}-q^{78}-3 q^{76}+q^{74}-q^{72}-3 q^{66}+2 q^{64}+q^{62}-2 q^{60}-q^{54}+3 q^{52}+2 q^{48}+q^{46}+3 q^{42}+q^{38}+q^{32}+q^{30}} |