K13n3871
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Polynomial invariants
| Jones polynomial | Data:K13n3871/Jones Polynomial |
| Alexander polynomial | 1 |
| Conway polynomial | Data:K13n3871/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -7 z^6+4 a^2 z^4+17 z^4 a^{-2} -4 z^4 a^{-4} -17 z^4+5 a^2 z^2+17 z^2 a^{-2} -5 z^2 a^{-4} -17 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+2 z^{11} a^{-1} +z^{11} a^{-3} +3 a^2 z^{10}+6 z^{10} a^{-2} +3 z^{10} a^{-4} +6 z^{10}+3 a^3 z^9-8 z^9 a^{-1} -z^9 a^{-3} +4 z^9 a^{-5} +a^4 z^8-15 a^2 z^8-42 z^8 a^{-2} -15 z^8 a^{-4} +3 z^8 a^{-6} -40 z^8-16 a^3 z^7-27 a z^7-15 z^7 a^{-1} -24 z^7 a^{-3} -19 z^7 a^{-5} +z^7 a^{-7} -5 a^4 z^6+17 a^2 z^6+82 z^6 a^{-2} +17 z^6 a^{-4} -13 z^6 a^{-6} +74 z^6+24 a^3 z^5+55 a z^5+60 z^5 a^{-1} +55 z^5 a^{-3} +22 z^5 a^{-5} -4 z^5 a^{-7} +7 a^4 z^4-7 a^2 z^4-68 z^4 a^{-2} -11 z^4 a^{-4} +12 z^4 a^{-6} -59 z^4-14 a^3 z^3-37 a z^3-50 z^3 a^{-1} -43 z^3 a^{-3} -13 z^3 a^{-5} +3 z^3 a^{-7} -3 a^4 z^2+4 a^2 z^2+29 z^2 a^{-2} +6 z^2 a^{-4} -3 z^2 a^{-6} +27 z^2+3 a^3 z+9 a z+13 z a^{-1} +11 z a^{-3} +4 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
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