10 147 Quantum Invariants
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Further quantum knot invariants for 10_147.
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^7-q^5+q^3-q+ q^{-1} + q^{-3} + q^{-7} -2 q^{-9} + q^{-11} } |
| 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^{22}-q^{20}-2 q^{18}+3 q^{16}+q^{14}-4 q^{12}+2 q^{10}+4 q^8-3 q^6-2 q^4+3 q^2-1-3 q^{-2} +3 q^{-4} +3 q^{-6} -2 q^{-8} + q^{-10} +4 q^{-12} - q^{-14} -5 q^{-16} +2 q^{-18} + q^{-20} -4 q^{-22} +2 q^{-24} +2 q^{-26} - q^{-28} } |
| 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^{10}+q^4-q^2+2 q^{-6} + q^{-10} - q^{-12} - q^{-14} + q^{-16} } |
| 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^{28}-2 q^{26}+6 q^{24}-12 q^{22}+19 q^{20}-28 q^{18}+36 q^{16}-38 q^{14}+33 q^{12}-24 q^{10}+12 q^8+14 q^6-31 q^4+48 q^2-60+62 q^{-2} -69 q^{-4} +56 q^{-6} -42 q^{-8} +32 q^{-10} -3 q^{-12} -6 q^{-14} +28 q^{-16} -38 q^{-18} +38 q^{-20} -40 q^{-22} +24 q^{-24} -18 q^{-26} +11 q^{-28} -2 q^{-30} -2 q^{-32} +2 q^{-34} +2 q^{-36} -2 q^{-42} + q^{-44} } |
| 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^{28}-q^{24}-q^{22}+q^{20}+2 q^{18}-q^{16}-q^{14}+q^{12}+2 q^{10}+q^8-2 q^6+q^2-1-2 q^{-2} + q^{-6} + q^{-8} +2 q^{-10} +2 q^{-12} +2 q^{-14} +2 q^{-16} +2 q^{-18} - q^{-20} -5 q^{-22} - q^{-24} -2 q^{-28} - q^{-30} +2 q^{-32} +3 q^{-34} - q^{-38} } |
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^{20}-q^{18}+q^{16}+q^{14}-2 q^{12}+2 q^{10}-q^6+3 q^4-1+2 q^{-2} -2 q^{-6} + q^{-8} + q^{-12} - q^{-14} +2 q^{-18} -2 q^{-20} + q^{-22} +3 q^{-24} -2 q^{-26} +2 q^{-30} -2 q^{-32} - q^{-34} + q^{-36} } |
| 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^{13}+q^9+q^5-q^3- q^{-1} + q^{-7} +2 q^{-9} + q^{-13} - q^{-15} - q^{-19} + q^{-21} } |
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^{26}+2 q^{20}+q^{18}-2 q^{16}+q^{12}-2 q^{10}-2 q^8+3 q^6+4 q^4-q^2+2+6 q^{-2} -4 q^{-6} - q^{-10} -5 q^{-12} - q^{-14} +2 q^{-16} + q^{-18} - q^{-20} +4 q^{-22} +3 q^{-24} -2 q^{-26} +3 q^{-30} -2 q^{-34} + q^{-36} + q^{-38} - q^{-40} -2 q^{-42} + q^{-46} } |
| 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^{16}+q^{12}+q^{10}+q^6-q^4-1- q^{-2} + q^{-8} + q^{-10} +2 q^{-12} + q^{-16} - q^{-18} - q^{-24} + q^{-26} } |
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^{20}-q^{18}+3 q^{16}-3 q^{14}+4 q^{12}-4 q^{10}+4 q^8-3 q^6+q^4-3+4 q^{-2} -6 q^{-4} +8 q^{-6} -7 q^{-8} +8 q^{-10} -5 q^{-12} +5 q^{-14} -2 q^{-16} +2 q^{-20} -3 q^{-22} +3 q^{-24} -4 q^{-26} +4 q^{-28} -4 q^{-30} +2 q^{-32} - q^{-34} + q^{-36} } |
| 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^{30}-q^{28}+2 q^{26}+2 q^{24}-2 q^{22}-3 q^{20}+q^{18}+4 q^{16}+q^{14}-4 q^{12}-2 q^{10}+4 q^8+4 q^6-q^4-4 q^2+3 q^{-2} + q^{-4} -2 q^{-6} -2 q^{-8} +2 q^{-10} +2 q^{-12} - q^{-14} -3 q^{-16} +2 q^{-18} +4 q^{-20} -4 q^{-24} - q^{-26} +3 q^{-28} +2 q^{-30} -3 q^{-32} -3 q^{-34} +2 q^{-36} +4 q^{-38} -3 q^{-42} - q^{-44} +2 q^{-46} +3 q^{-48} - q^{-50} -2 q^{-52} - q^{-54} + q^{-58} } |
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^{26}-q^{24}+2 q^{22}-2 q^{20}+4 q^{18}-3 q^{16}+3 q^{14}-3 q^{12}+4 q^{10}-2 q^8+q^6+3-3 q^{-2} +4 q^{-4} -5 q^{-6} +5 q^{-8} -6 q^{-10} +6 q^{-12} -6 q^{-14} +5 q^{-16} -4 q^{-18} +3 q^{-20} - q^{-22} + q^{-24} + q^{-26} - q^{-28} +3 q^{-30} -2 q^{-32} +4 q^{-34} -3 q^{-36} +2 q^{-38} -3 q^{-40} +3 q^{-42} -2 q^{-44} - q^{-48} + q^{-50} } |
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^{46}-q^{44}+3 q^{42}-4 q^{40}+3 q^{38}-q^{36}-3 q^{34}+10 q^{32}-11 q^{30}+12 q^{28}-6 q^{26}-5 q^{24}+12 q^{22}-14 q^{20}+11 q^{18}-5 q^{16}-4 q^{14}+12 q^{12}-9 q^{10}+3 q^8+5 q^6-13 q^4+14 q^2-7-5 q^{-2} +10 q^{-4} -14 q^{-6} +18 q^{-8} -11 q^{-10} +4 q^{-12} +4 q^{-14} -13 q^{-16} +15 q^{-18} -13 q^{-20} +7 q^{-22} -7 q^{-26} +11 q^{-28} -6 q^{-30} +3 q^{-32} +6 q^{-34} -14 q^{-36} +11 q^{-38} - q^{-40} -7 q^{-42} +13 q^{-44} -15 q^{-46} +11 q^{-48} + q^{-50} -6 q^{-52} +7 q^{-54} -11 q^{-56} +7 q^{-58} -3 q^{-62} +2 q^{-64} -2 q^{-66} + q^{-68} + q^{-70} +2 q^{-72} - q^{-74} - q^{-78} - q^{-84} + q^{-86} } |
