K13n1289
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Polynomial invariants
| Jones polynomial | Data:K13n1289/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-17 t^2+36 t-45+36 t^{-1} -17 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1289/Conway Polynomial |
| Determinant | 159 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +2 z^6 a^{-4} +7 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+11 z^2 a^{-2} +3 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} -5 z^2+7 a^{-2} - a^{-4} -3 a^{-6} + a^{-8} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +8 z^{10} a^{-4} +4 z^{10} a^{-6} +4 z^9 a^{-1} +11 z^9 a^{-3} +14 z^9 a^{-5} +7 z^9 a^{-7} -11 z^8 a^{-2} -13 z^8 a^{-4} +6 z^8 a^{-6} +7 z^8 a^{-8} +z^8-15 z^7 a^{-1} -47 z^7 a^{-3} -44 z^7 a^{-5} -8 z^7 a^{-7} +4 z^7 a^{-9} +20 z^6 a^{-2} -2 z^6 a^{-4} -35 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} +2 z^6+3 a z^5+37 z^5 a^{-1} +88 z^5 a^{-3} +53 z^5 a^{-5} -10 z^5 a^{-7} -9 z^5 a^{-9} -15 z^4 a^{-2} +24 z^4 a^{-4} +38 z^4 a^{-6} +6 z^4 a^{-8} -2 z^4 a^{-10} -9 z^4-9 a z^3-45 z^3 a^{-1} -70 z^3 a^{-3} -29 z^3 a^{-5} +11 z^3 a^{-7} +6 z^3 a^{-9} +9 z^2 a^{-2} -11 z^2 a^{-4} -17 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +7 z^2+6 a z+18 z a^{-1} +22 z a^{-3} +8 z a^{-5} -4 z a^{-7} -2 z a^{-9} -7 a^{-2} - a^{-4} +3 a^{-6} + a^{-8} -3 }[/math] |
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