K13n318
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Polynomial invariants
| Jones polynomial | Data:K13n318/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+18 t-19+18 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n318/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6-3 a^2 z^4-3 z^4 a^{-2} +8 z^4+a^4 z^2-8 a^2 z^2-8 z^2 a^{-2} +z^2 a^{-4} +10 z^2+2 a^4-4 a^2-4 a^{-2} +2 a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+5 a z^9+5 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-9 a^2 z^8-9 z^8 a^{-2} +z^8 a^{-4} -20 z^8-14 a^3 z^7-38 a z^7-38 z^7 a^{-1} -14 z^7 a^{-3} -5 a^4 z^6-5 a^2 z^6-5 z^6 a^{-2} -5 z^6 a^{-4} +20 a^3 z^5+53 a z^5+53 z^5 a^{-1} +20 z^5 a^{-3} +9 a^4 z^4+25 a^2 z^4+25 z^4 a^{-2} +9 z^4 a^{-4} +32 z^4-11 a^3 z^3-23 a z^3-23 z^3 a^{-1} -11 z^3 a^{-3} -7 a^4 z^2-18 a^2 z^2-18 z^2 a^{-2} -7 z^2 a^{-4} -22 z^2+2 a^3 z+2 a z+2 z a^{-1} +2 z a^{-3} +2 a^4+4 a^2+4 a^{-2} +2 a^{-4} +5 }[/math] |
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