K13n1757
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Polynomial invariants
| Jones polynomial | Data:K13n1757/Jones Polynomial |
| Alexander polynomial | 1 |
| Conway polynomial | Data:K13n1757/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -z^6+a^2 z^4+6 z^4 a^{-2} -z^4 a^{-4} -6 z^4+3 a^2 z^2+11 z^2 a^{-2} -3 z^2 a^{-4} -11 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-7 z^9 a^{-1} -6 z^9 a^{-3} +z^9 a^{-5} -24 z^8 a^{-2} -15 z^8 a^{-4} -9 z^8-a z^7+12 z^7 a^{-1} +6 z^7 a^{-3} -7 z^7 a^{-5} +a^2 z^6+62 z^6 a^{-2} +36 z^6 a^{-4} +27 z^6+2 a^3 z^5+6 a z^5+2 z^5 a^{-1} +13 z^5 a^{-3} +15 z^5 a^{-5} +a^4 z^4-3 a^2 z^4-65 z^4 a^{-2} -33 z^4 a^{-4} -36 z^4-5 a^3 z^3-10 a z^3-15 z^3 a^{-1} -21 z^3 a^{-3} -11 z^3 a^{-5} -2 a^4 z^2+4 a^2 z^2+30 z^2 a^{-2} +12 z^2 a^{-4} +24 z^2+2 a^3 z+5 a z+7 z a^{-1} +7 z a^{-3} +3 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
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