K13n4216
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Polynomial invariants
| Jones polynomial | Data:K13n4216/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+37 t-49+37 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4216/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} +2 z^4 a^{-6} -z^4 a^{-8} -4 z^2 a^{-2} -2 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +2 z^2- a^{-2} -2 a^{-4} +3 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +10 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^9 a^{-3} +3 z^9 a^{-5} +6 z^9 a^{-7} +7 z^9 a^{-9} +3 z^8 a^{-2} -4 z^8 a^{-4} -26 z^8 a^{-6} -15 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -2 z^7 a^{-3} -8 z^7 a^{-5} -29 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} -2 z^6 a^{-2} +4 z^6 a^{-4} +26 z^6 a^{-6} +7 z^6 a^{-8} -13 z^6 a^{-10} +3 z^5 a^{-1} -3 z^5 a^{-3} -5 z^5 a^{-5} +25 z^5 a^{-7} +21 z^5 a^{-9} -3 z^5 a^{-11} +6 z^4 a^{-2} -7 z^4 a^{-4} -23 z^4 a^{-6} -2 z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-3 z^3 a^{-1} +10 z^3 a^{-3} +14 z^3 a^{-5} -8 z^3 a^{-7} -7 z^3 a^{-9} +2 z^3 a^{-11} -6 z^2 a^{-2} +9 z^2 a^{-4} +14 z^2 a^{-6} +2 z^2 a^{-8} -2 z^2 a^{-10} -5 z^2-z a^{-1} -5 z a^{-3} -5 z a^{-5} +z a^{-9} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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