K13n1485
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Polynomial invariants
| Jones polynomial | Data:K13n1485/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+39 t-53+39 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1485/Conway Polynomial |
| Determinant | 163 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} +2 z^4 a^{-6} -z^4 a^{-8} -3 z^2 a^{-2} -z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +2 z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +6 z^{10} a^{-4} +12 z^{10} a^{-6} +6 z^{10} a^{-8} +7 z^9 a^{-3} +10 z^9 a^{-5} +10 z^9 a^{-7} +7 z^9 a^{-9} +4 z^8 a^{-2} -12 z^8 a^{-4} -33 z^8 a^{-6} -13 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -18 z^7 a^{-3} -46 z^7 a^{-5} -51 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} -4 z^6 a^{-2} +12 z^6 a^{-4} +27 z^6 a^{-6} -2 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +31 z^5 a^{-3} +66 z^5 a^{-5} +65 z^5 a^{-7} +22 z^5 a^{-9} -3 z^5 a^{-11} +6 z^4 a^{-2} -4 z^4 a^{-4} -9 z^4 a^{-6} +9 z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-8 z^3 a^{-1} -23 z^3 a^{-3} -38 z^3 a^{-5} -36 z^3 a^{-7} -11 z^3 a^{-9} +2 z^3 a^{-11} -5 z^2 a^{-2} +3 z^2 a^{-4} +5 z^2 a^{-6} -2 z^2 a^{-8} -3 z^2 a^{-10} -4 z^2+2 z a^{-1} +6 z a^{-3} +8 z a^{-5} +7 z a^{-7} +3 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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