K13n3681
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Polynomial invariants
| Jones polynomial | Data:K13n3681/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-45 t+61-45 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3681/Conway Polynomial |
| Determinant | 193 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -z^6+a^2 z^4-4 z^4 a^{-2} +3 z^4 a^{-4} -3 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +17 z^{10} a^{-2} +9 z^{10} a^{-4} +8 z^{10}+7 a z^9+12 z^9 a^{-1} +15 z^9 a^{-3} +10 z^9 a^{-5} +2 a^2 z^8-42 z^8 a^{-2} -16 z^8 a^{-4} +5 z^8 a^{-6} -19 z^8-19 a z^7-58 z^7 a^{-1} -68 z^7 a^{-3} -28 z^7 a^{-5} +z^7 a^{-7} +2 a^2 z^6+21 z^6 a^{-2} -11 z^6 a^{-4} -13 z^6 a^{-6} +21 z^6+5 a^3 z^5+36 a z^5+78 z^5 a^{-1} +69 z^5 a^{-3} +20 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4+a^2 z^4+6 z^4 a^{-2} +18 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4-5 a^3 z^3-23 a z^3-39 z^3 a^{-1} -28 z^3 a^{-3} -6 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2-2 a^2 z^2-4 z^2 a^{-2} -5 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2+a^3 z+4 a z+6 z a^{-1} +4 z a^{-3} +z a^{-5} +1 }[/math] |
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