K12n598
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-5 q^6+9 q^5-13 q^4+17 q^3-16 q^2+15 q-12+7 q^{-1} -3 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+24 t-33+24 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^4 a^{-2} -2 z^4 a^{-4} -2 z^4+a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} -3 z^2+a^2+2 a^{-2} + a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +5 z^9 a^{-3} +2 z^9 a^{-5} +6 z^8 a^{-2} +3 z^8 a^{-4} +z^8 a^{-6} +4 z^8+3 a z^7+z^7 a^{-1} -2 z^7 a^{-3} +a^2 z^6-8 z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -6 z^6-8 a z^5-14 z^5 a^{-1} -5 z^5 a^{-3} +6 z^5 a^{-5} +5 z^5 a^{-7} -3 a^2 z^4-11 z^4 a^{-2} -16 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} -4 z^4+7 a z^3+10 z^3 a^{-1} -z^3 a^{-3} -7 z^3 a^{-5} -3 z^3 a^{-7} +3 a^2 z^2+12 z^2 a^{-2} +9 z^2 a^{-4} +2 z^2 a^{-6} +8 z^2-2 a z-3 z a^{-1} -z a^{-7} -a^2-2 a^{-2} + a^{-4} + a^{-6} -2 }[/math] |
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