K13n1802
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Polynomial invariants
| Jones polynomial | Data:K13n1802/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-23 t+27-23 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1802/Conway Polynomial |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-4} +15 z^4 a^{-6} -9 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-4} +17 z^2 a^{-6} -14 z^2 a^{-8} +3 z^2 a^{-10} +6 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +z^9 a^{-5} +z^9 a^{-7} +6 z^9 a^{-9} +6 z^9 a^{-11} -8 z^8 a^{-6} -23 z^8 a^{-8} -10 z^8 a^{-10} +5 z^8 a^{-12} -z^7 a^{-5} -11 z^7 a^{-7} -33 z^7 a^{-9} -20 z^7 a^{-11} +3 z^7 a^{-13} +4 z^6 a^{-4} +27 z^6 a^{-6} +45 z^6 a^{-8} +6 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +6 z^5 a^{-5} +36 z^5 a^{-7} +63 z^5 a^{-9} +23 z^5 a^{-11} -9 z^5 a^{-13} -9 z^4 a^{-4} -40 z^4 a^{-6} -40 z^4 a^{-8} +5 z^4 a^{-10} +11 z^4 a^{-12} -3 z^4 a^{-14} -2 z^3 a^{-3} -12 z^3 a^{-5} -40 z^3 a^{-7} -46 z^3 a^{-9} -11 z^3 a^{-11} +5 z^3 a^{-13} +5 z^2 a^{-4} +24 z^2 a^{-6} +22 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} +z a^{-3} +4 z a^{-5} +13 z a^{-7} +13 z a^{-9} +2 z a^{-11} -z a^{-13} -6 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
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