K13n248
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Polynomial invariants
| Jones polynomial | Data:K13n248/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+21 t-27+21 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n248/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} +4 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4 a^{-8} -2 z^2 a^{-2} +8 z^2 a^{-4} -4 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +5 a^{-4} -2 a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +3 z^9 a^{-5} +4 z^9 a^{-7} +4 z^9 a^{-9} +3 z^9 a^{-11} +2 z^8 a^{-4} -8 z^8 a^{-6} -22 z^8 a^{-8} -11 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-3} -7 z^7 a^{-5} -26 z^7 a^{-7} -33 z^7 a^{-9} -15 z^7 a^{-11} -4 z^6 a^{-4} +5 z^6 a^{-6} +20 z^6 a^{-8} +6 z^6 a^{-10} -5 z^6 a^{-12} -z^5 a^{-3} +3 z^5 a^{-5} +32 z^5 a^{-7} +52 z^5 a^{-9} +24 z^5 a^{-11} +3 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} -9 z^4 a^{-8} +7 z^4 a^{-10} +8 z^4 a^{-12} +z^3 a^{-1} +5 z^3 a^{-3} +5 z^3 a^{-5} -16 z^3 a^{-7} -32 z^3 a^{-9} -15 z^3 a^{-11} -3 z^2 a^{-2} -9 z^2 a^{-4} -z^2 a^{-6} +6 z^2 a^{-8} -3 z^2 a^{-10} -4 z^2 a^{-12} -z a^{-1} -3 z a^{-3} -5 z a^{-5} +2 z a^{-7} +9 z a^{-9} +4 z a^{-11} + a^{-2} +5 a^{-4} +2 a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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