K13n1715
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Polynomial invariants
| Jones polynomial | Data:K13n1715/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-11 t^3+13 t^2-7 t+3-7 t^{-1} +13 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n1715/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} +5 z^6 a^{-2} -17 z^6 a^{-4} +6 z^6 a^{-6} +7 z^4 a^{-2} -18 z^4 a^{-4} +9 z^4 a^{-6} -z^4 a^{-8} +4 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} + a^{-2} +2 a^{-4} -3 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +12 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^9 a^{-1} -6 z^9 a^{-3} -7 z^9 a^{-5} +3 z^9 a^{-7} -28 z^8 a^{-2} -61 z^8 a^{-4} -32 z^8 a^{-6} +z^8-18 z^7 a^{-1} -22 z^7 a^{-3} -22 z^7 a^{-5} -17 z^7 a^{-7} +z^7 a^{-9} +36 z^6 a^{-2} +88 z^6 a^{-4} +44 z^6 a^{-6} -3 z^6 a^{-8} +z^6 a^{-10} -4 z^6+22 z^5 a^{-1} +46 z^5 a^{-3} +50 z^5 a^{-5} +18 z^5 a^{-7} -8 z^5 a^{-9} -18 z^4 a^{-2} -46 z^4 a^{-4} -18 z^4 a^{-6} +z^4 a^{-8} -5 z^4 a^{-10} +4 z^4-9 z^3 a^{-1} -24 z^3 a^{-3} -22 z^3 a^{-5} +2 z^3 a^{-7} +9 z^3 a^{-9} +4 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +3 z^2 a^{-10} -z^2+z a^{-1} +3 z a^{-3} -z a^{-5} -6 z a^{-7} -3 z a^{-9} - a^{-2} +2 a^{-4} +3 a^{-6} + a^{-8} }[/math] |
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