K13n1637
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Polynomial invariants
| Jones polynomial | Data:K13n1637/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-11 t^2+13 t-13+13 t^{-1} -11 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1637/Conway Polynomial |
| Determinant | 75 |
| 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} -7 z^4 a^{-6} +9 z^4 a^{-8} -z^4 a^{-10} +4 z^2 a^{-4} -3 z^2 a^{-6} +10 z^2 a^{-8} -4 z^2 a^{-10} + a^{-4} +2 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +3 z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-11} +z^8 a^{-4} -12 z^8 a^{-6} -20 z^8 a^{-8} -7 z^8 a^{-10} -15 z^7 a^{-5} -25 z^7 a^{-7} -10 z^7 a^{-9} -5 z^6 a^{-4} +8 z^6 a^{-6} +19 z^6 a^{-8} +11 z^6 a^{-10} +5 z^6 a^{-12} +22 z^5 a^{-5} +39 z^5 a^{-7} +11 z^5 a^{-9} -3 z^5 a^{-11} +3 z^5 a^{-13} +8 z^4 a^{-4} +7 z^4 a^{-6} -2 z^4 a^{-8} -12 z^4 a^{-10} -9 z^4 a^{-12} +2 z^4 a^{-14} -10 z^3 a^{-5} -19 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} -2 z^3 a^{-13} +z^3 a^{-15} -5 z^2 a^{-4} -4 z^2 a^{-6} -5 z^2 a^{-8} +5 z^2 a^{-12} -z^2 a^{-14} +z a^{-5} +4 z a^{-7} +z a^{-9} +z a^{-13} -z a^{-15} + a^{-4} +2 a^{-8} +2 a^{-10} }[/math] |
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