K13n1748
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Polynomial invariants
| Jones polynomial | Data:K13n1748/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+16 t^2-20 t+21-20 t^{-1} +16 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1748/Conway Polynomial |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +9 z^4 a^{-4} +8 z^4 a^{-6} -5 z^4 a^{-8} -4 z^2 a^{-2} +9 z^2 a^{-4} +5 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +4 a^{-4} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^{10} a^{-8} +4 z^9 a^{-3} +5 z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} +3 z^8 a^{-2} -5 z^8 a^{-4} -18 z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -13 z^7 a^{-3} -25 z^7 a^{-5} -20 z^7 a^{-7} -9 z^7 a^{-9} -12 z^6 a^{-2} -10 z^6 a^{-4} +20 z^6 a^{-6} +20 z^6 a^{-8} +2 z^6 a^{-10} -4 z^5 a^{-1} +8 z^5 a^{-3} +27 z^5 a^{-5} +34 z^5 a^{-7} +23 z^5 a^{-9} +4 z^5 a^{-11} +14 z^4 a^{-2} +19 z^4 a^{-4} -13 z^4 a^{-6} -20 z^4 a^{-8} -z^4 a^{-10} +z^4 a^{-12} +4 z^3 a^{-1} +2 z^3 a^{-3} -8 z^3 a^{-5} -23 z^3 a^{-7} -22 z^3 a^{-9} -5 z^3 a^{-11} -7 z^2 a^{-2} -12 z^2 a^{-4} +5 z^2 a^{-6} +11 z^2 a^{-8} -z^2 a^{-12} -z a^{-1} -2 z a^{-3} -2 z a^{-5} +4 z a^{-7} +7 z a^{-9} +2 z a^{-11} + a^{-2} +4 a^{-4} -3 a^{-8} - a^{-10} }[/math] |
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