K13n393
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Polynomial invariants
| Jones polynomial | Data:K13n393/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+22 t-25+22 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n393/Conway Polynomial |
| Determinant | 111 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +2 z^6 a^{-8} +4 z^4 a^{-4} -8 z^4 a^{-6} +7 z^4 a^{-8} -z^4 a^{-10} +5 z^2 a^{-4} -4 z^2 a^{-6} +5 z^2 a^{-8} -2 z^2 a^{-10} +2 a^{-4} - a^{-8} }[/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} +5 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +z^8 a^{-4} -9 z^8 a^{-6} -15 z^8 a^{-8} -2 z^8 a^{-10} +3 z^8 a^{-12} -14 z^7 a^{-5} -32 z^7 a^{-7} -25 z^7 a^{-9} -6 z^7 a^{-11} +z^7 a^{-13} -5 z^6 a^{-4} -2 z^6 a^{-6} -3 z^6 a^{-8} -8 z^6 a^{-10} -2 z^6 a^{-12} +20 z^5 a^{-5} +42 z^5 a^{-7} +22 z^5 a^{-9} +4 z^5 a^{-11} +4 z^5 a^{-13} +9 z^4 a^{-4} +20 z^4 a^{-6} +17 z^4 a^{-8} +4 z^4 a^{-10} +2 z^4 a^{-12} +4 z^4 a^{-14} -8 z^3 a^{-5} -19 z^3 a^{-7} -15 z^3 a^{-9} -7 z^3 a^{-11} -2 z^3 a^{-13} +z^3 a^{-15} -7 z^2 a^{-4} -10 z^2 a^{-6} -6 z^2 a^{-8} -3 z^2 a^{-10} -z^2 a^{-12} -z^2 a^{-14} +5 z a^{-7} +7 z a^{-9} +3 z a^{-11} +z a^{-13} +2 a^{-4} - a^{-8} }[/math] |
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