K13n4032
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Polynomial invariants
| Jones polynomial | Data:K13n4032/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3-t^2+8 t-11+8 t^{-1} - t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4032/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+15 z^4 a^{-2} -2 z^4 a^{-4} -z^4 a^{-6} -5 z^4+13 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-6} -6 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-5 z^9 a^{-1} -4 z^9 a^{-3} +2 z^9 a^{-5} -31 z^8 a^{-2} -13 z^8 a^{-4} +3 z^8 a^{-6} -15 z^8-7 a z^7-2 z^7 a^{-1} -9 z^7 a^{-3} -10 z^7 a^{-5} +4 z^7 a^{-7} +73 z^6 a^{-2} +24 z^6 a^{-4} -10 z^6 a^{-6} +3 z^6 a^{-8} +36 z^6+15 a z^5+29 z^5 a^{-1} +42 z^5 a^{-3} +16 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} -66 z^4 a^{-2} -14 z^4 a^{-4} +9 z^4 a^{-6} -7 z^4 a^{-8} -36 z^4-12 a z^3-32 z^3 a^{-1} -35 z^3 a^{-3} -8 z^3 a^{-5} +5 z^3 a^{-7} -2 z^3 a^{-9} +25 z^2 a^{-2} +7 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +14 z^2+3 a z+8 z a^{-1} +8 z a^{-3} +2 z a^{-5} -z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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