K13n3915
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Polynomial invariants
| Jones polynomial | Data:K13n3915/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-9 t^3+8 t^2-t-3- t^{-1} +8 t^{-2} -9 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3915/Conway Polynomial |
| Determinant | 45 |
| 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} -16 z^6 a^{-4} +7 z^6 a^{-6} +6 z^4 a^{-2} -13 z^4 a^{-4} +13 z^4 a^{-6} -2 z^4 a^{-8} +3 z^2 a^{-4} +5 z^2 a^{-6} -3 z^2 a^{-8} -2 a^{-2} +7 a^{-4} -4 a^{-6} }[/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} +7 z^{10} a^{-6} +z^{10} a^{-8} +4 z^9 a^{-1} -7 z^9 a^{-3} -9 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} -30 z^8 a^{-2} -69 z^8 a^{-4} -46 z^8 a^{-6} -5 z^8 a^{-8} +3 z^8 a^{-10} +z^8-19 z^7 a^{-1} -24 z^7 a^{-3} -26 z^7 a^{-5} -38 z^7 a^{-7} -16 z^7 a^{-9} +z^7 a^{-11} +42 z^6 a^{-2} +113 z^6 a^{-4} +78 z^6 a^{-6} -3 z^6 a^{-8} -14 z^6 a^{-10} -4 z^6+24 z^5 a^{-1} +56 z^5 a^{-3} +73 z^5 a^{-5} +62 z^5 a^{-7} +17 z^5 a^{-9} -4 z^5 a^{-11} -25 z^4 a^{-2} -69 z^4 a^{-4} -47 z^4 a^{-6} +7 z^4 a^{-8} +13 z^4 a^{-10} +3 z^4-10 z^3 a^{-1} -30 z^3 a^{-3} -41 z^3 a^{-5} -30 z^3 a^{-7} -6 z^3 a^{-9} +3 z^3 a^{-11} +5 z^2 a^{-2} +8 z^2 a^{-4} +7 z^2 a^{-6} +z^2 a^{-8} -3 z^2 a^{-10} +z a^{-3} +z a^{-7} +z a^{-9} -z a^{-11} +2 a^{-2} +7 a^{-4} +4 a^{-6} }[/math] |
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