K13a1046
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Polynomial invariants
| Jones polynomial | Data:K13a1046/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^2-28 t+45-28 t^{-1} +6 t^{-2} }[/math] |
| Conway polynomial | Data:K13a1046/Conway Polynomial |
| Determinant | 113 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^4-2 z^2 a^2+z^4-2 z^2-1+2 z^4 a^{-2} +2 z^4 a^{-4} +z^2 a^{-4} + a^{-4} +z^4 a^{-6} -z^2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +2 z^{11} a^{-3} +5 z^{11} a^{-5} +3 z^{11} a^{-7} +3 z^{10} a^{-2} +3 z^{10} a^{-8} +4 z^9 a^{-1} -2 z^9 a^{-3} -24 z^9 a^{-5} -17 z^9 a^{-7} +z^9 a^{-9} -4 z^8 a^{-2} -9 z^8 a^{-4} -20 z^8 a^{-6} -19 z^8 a^{-8} +4 z^8+4 a z^7-7 z^7 a^{-1} -11 z^7 a^{-3} +36 z^7 a^{-5} +30 z^7 a^{-7} -6 z^7 a^{-9} +3 a^2 z^6-7 z^6 a^{-2} +4 z^6 a^{-4} +43 z^6 a^{-6} +39 z^6 a^{-8} -4 z^6+2 a^3 z^5-5 a z^5+3 z^5 a^{-1} +16 z^5 a^{-3} -24 z^5 a^{-5} -19 z^5 a^{-7} +11 z^5 a^{-9} +a^4 z^4-2 a^2 z^4+9 z^4 a^{-2} +9 z^4 a^{-4} -28 z^4 a^{-6} -29 z^4 a^{-8} -2 z^4-2 a^3 z^3+5 a z^3-2 z^3 a^{-1} -11 z^3 a^{-3} +9 z^3 a^{-5} +5 z^3 a^{-7} -6 z^3 a^{-9} -2 a^4 z^2-4 z^2 a^{-2} -7 z^2 a^{-4} +6 z^2 a^{-6} +6 z^2 a^{-8} +5 z^2-2 a z+z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} +a^4+ a^{-4} -1 }[/math] |
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