10 129 Quantum Invariants
From Knot Atlas
Jump to navigationJump to search
Further quantum knot invariants for 10_129.
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^{11}+q^9-q^7+q^5+q+2 q^{-1} - q^{-3} + q^{-5} - q^{-7} } |
| 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^{32}-q^{30}-q^{28}+3 q^{26}-q^{24}-4 q^{22}+2 q^{20}+2 q^{18}-4 q^{16}+4 q^{12}-2 q^{10}-q^8+3 q^6+q^4-q^2+1+5 q^{-2} -3 q^{-4} -3 q^{-6} +4 q^{-8} - q^{-10} -3 q^{-12} +2 q^{-14} + q^{-16} - q^{-18} } |
| 3 |
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^{16}-q^{10}+q^8+q^4+2 q^2+1+2 q^{-2} - q^{-4} - q^{-10} } |
| 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^{44}-2 q^{42}+4 q^{40}-8 q^{38}+15 q^{36}-18 q^{34}+24 q^{32}-32 q^{30}+29 q^{28}-24 q^{26}+14 q^{24}-4 q^{22}-19 q^{20}+32 q^{18}-48 q^{16}+54 q^{14}-54 q^{12}+58 q^{10}-38 q^8+36 q^6-13 q^4+2 q^2+14-26 q^{-2} +30 q^{-4} -38 q^{-6} +32 q^{-8} -22 q^{-10} +15 q^{-12} -8 q^{-14} +2 q^{-16} +4 q^{-18} -3 q^{-20} -2 q^{-24} + q^{-28} } |
| 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^{42}-q^{38}+2 q^{34}+2 q^{32}-2 q^{30}-3 q^{28}-q^{26}-q^{24}-3 q^{22}-3 q^{20}+q^{18}+2 q^{16}+q^{14}+q^{12}+3 q^{10}+2 q^8+2 q^6+4 q^4+q^2+2+ q^{-2} + q^{-4} -4 q^{-6} -3 q^{-8} + q^{-10} + q^{-12} -2 q^{-14} - q^{-16} +2 q^{-18} + q^{-20} - q^{-24} } |
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^{34}-q^{32}+q^{28}-2 q^{26}+q^{24}-4 q^{20}+q^{18}-3 q^{14}+q^{12}+q^{10}+q^6+3 q^4+4 q^2+4+2 q^{-2} +5 q^{-4} -2 q^{-6} -3 q^{-8} + q^{-10} -4 q^{-12} -3 q^{-14} + q^{-16} + q^{-22} } |
| 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^{21}-q^{17}-q^{13}+q^{11}+q^7+q^5+2 q^3+2 q+ q^{-1} +2 q^{-3} - q^{-5} - q^{-9} - q^{-13} } |
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^{44}+q^{38}-2 q^{34}-q^{32}+q^{30}-2 q^{28}-4 q^{26}+2 q^{22}-3 q^{20}-3 q^{18}+2 q^{16}-q^{14}-4 q^{12}+3 q^8+3 q^6+5 q^4+12 q^2+9+5 q^{-2} +5 q^{-4} +3 q^{-6} -6 q^{-8} -7 q^{-10} -3 q^{-12} -4 q^{-14} -5 q^{-16} -2 q^{-18} +2 q^{-20} + q^{-22} + q^{-26} + q^{-28} } |
| 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^{26}-q^{22}-q^{20}-q^{16}+q^{14}+q^{10}+q^8+q^6+2 q^4+2 q^2+2+ q^{-2} +2 q^{-4} - q^{-6} - q^{-10} - q^{-12} - q^{-16} } |
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^{34}+q^{32}-2 q^{30}+3 q^{28}-4 q^{26}+3 q^{24}-4 q^{22}+2 q^{20}-q^{18}+3 q^{14}-3 q^{12}+7 q^{10}-6 q^8+7 q^6-5 q^4+6 q^2-4+2 q^{-2} + q^{-4} -2 q^{-6} +3 q^{-8} -3 q^{-10} +4 q^{-12} -3 q^{-14} +3 q^{-16} -2 q^{-18} - q^{-22} } |
| 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^{56}-q^{52}-q^{50}+q^{48}+2 q^{46}-q^{44}-3 q^{42}+3 q^{38}+2 q^{36}-4 q^{34}-4 q^{32}+q^{30}+3 q^{28}-4 q^{24}-q^{22}+2 q^{20}+2 q^{18}-2 q^{16}-q^{14}+2 q^{12}+3 q^{10}-q^6+q^4+5 q^2+3- q^{-2} - q^{-4} +4 q^{-6} +3 q^{-8} -2 q^{-10} -4 q^{-12} +3 q^{-16} -4 q^{-20} -3 q^{-22} +2 q^{-26} - q^{-30} + q^{-36} } |
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^{46}-q^{44}+q^{42}-2 q^{40}+3 q^{38}-3 q^{36}+2 q^{34}-4 q^{32}+2 q^{30}-3 q^{28}-q^{24}-q^{22}+q^{20}-3 q^{18}+4 q^{16}-4 q^{14}+5 q^{12}-5 q^{10}+6 q^8-2 q^6+8 q^4+7+2 q^{-2} +4 q^{-4} +3 q^{-6} -2 q^{-8} -5 q^{-12} + q^{-14} -5 q^{-16} -4 q^{-20} +2 q^{-22} - q^{-24} + q^{-26} + q^{-30} } |
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^{80}-q^{78}+2 q^{76}-3 q^{74}+2 q^{72}-q^{70}-3 q^{68}+6 q^{66}-8 q^{64}+8 q^{62}-7 q^{60}-q^{58}+6 q^{56}-11 q^{54}+12 q^{52}-7 q^{50}+6 q^{46}-9 q^{44}+7 q^{42}-q^{40}-7 q^{38}+11 q^{36}-10 q^{34}+4 q^{32}+6 q^{30}-13 q^{28}+16 q^{26}-12 q^{24}+5 q^{22}+2 q^{20}-10 q^{18}+14 q^{16}-12 q^{14}+9 q^{12}-3 q^8+10 q^6-8 q^4+6 q^2+2-4 q^{-2} +10 q^{-4} -6 q^{-6} + q^{-8} +10 q^{-10} -12 q^{-12} +13 q^{-14} -7 q^{-16} -4 q^{-18} +8 q^{-20} -11 q^{-22} +9 q^{-24} -5 q^{-26} - q^{-28} +3 q^{-30} -5 q^{-32} +2 q^{-34} - q^{-36} - q^{-38} - q^{-44} + q^{-52} } |
