K13n1631
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Polynomial invariants
| Jones polynomial | Data:K13n1631/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+19 t-25+19 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1631/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +3 z^4 a^{-2} -3 z^4 a^{-4} -z^4+5 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} -z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} -2 z^8 a^{-2} +z^8 a^{-4} +3 z^8 a^{-6} -z^7 a^{-1} -9 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} +11 z^6 a^{-2} +4 z^6 a^{-4} -3 z^6 a^{-6} +4 z^6+a z^5+5 z^5 a^{-1} +18 z^5 a^{-3} +19 z^5 a^{-5} +5 z^5 a^{-7} -19 z^4 a^{-2} -12 z^4 a^{-4} +2 z^4 a^{-6} +3 z^4 a^{-8} -8 z^4-2 a z^3-10 z^3 a^{-1} -20 z^3 a^{-3} -22 z^3 a^{-5} -10 z^3 a^{-7} +11 z^2 a^{-2} +11 z^2 a^{-4} -3 z^2 a^{-8} +3 z^2+a z+4 z a^{-1} +8 z a^{-3} +8 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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