K13n3713
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Polynomial invariants
| Jones polynomial | Data:K13n3713/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-11 t^3+17 t^2-19 t+19-19 t^{-1} +17 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3713/Conway Polynomial |
| Determinant | 125 |
| 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} -16 z^4 a^{-4} +11 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} - a^{-2} +4 a^{-4} - a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +13 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^9 a^{-1} -4 z^9 a^{-3} -z^9 a^{-5} +7 z^9 a^{-7} -27 z^8 a^{-2} -55 z^8 a^{-4} -23 z^8 a^{-6} +4 z^8 a^{-8} +z^8-18 z^7 a^{-1} -21 z^7 a^{-3} -26 z^7 a^{-5} -22 z^7 a^{-7} +z^7 a^{-9} +38 z^6 a^{-2} +73 z^6 a^{-4} +22 z^6 a^{-6} -9 z^6 a^{-8} -4 z^6+24 z^5 a^{-1} +37 z^5 a^{-3} +34 z^5 a^{-5} +23 z^5 a^{-7} +2 z^5 a^{-9} -22 z^4 a^{-2} -42 z^4 a^{-4} -10 z^4 a^{-6} +9 z^4 a^{-8} +3 z^4 a^{-10} +4 z^4-9 z^3 a^{-1} -16 z^3 a^{-3} -13 z^3 a^{-5} -9 z^3 a^{-7} -2 z^3 a^{-9} +z^3 a^{-11} +5 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-10} -z a^{-5} +2 z a^{-7} +2 z a^{-9} -z a^{-11} + a^{-2} +4 a^{-4} + a^{-6} - a^{-8} }[/math] |
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