K12n878
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-7 q^6+13 q^5-19 q^4+23 q^3-23 q^2+21 q-16+10 q^{-1} -4 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-11 t^2+34 t-47+34 t^{-1} -11 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-5 z^4-z^2+1 }[/math] |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -3 z^4 a^{-4} -2 z^4+a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} -2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-2} +3 z^{10} a^{-4} +8 z^9 a^{-1} +15 z^9 a^{-3} +7 z^9 a^{-5} +10 z^8 a^{-2} +7 z^8 a^{-4} +5 z^8 a^{-6} +8 z^8+4 a z^7-14 z^7 a^{-1} -33 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-37 z^6 a^{-2} -23 z^6 a^{-4} -5 z^6 a^{-6} -18 z^6-8 a z^5+5 z^5 a^{-1} +29 z^5 a^{-3} +23 z^5 a^{-5} +7 z^5 a^{-7} -2 a^2 z^4+33 z^4 a^{-2} +22 z^4 a^{-4} +7 z^4 a^{-6} +3 z^4 a^{-8} +13 z^4+4 a z^3-5 z^3 a^{-1} -17 z^3 a^{-3} -17 z^3 a^{-5} -9 z^3 a^{-7} +a^2 z^2-15 z^2 a^{-2} -7 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2 a^{-8} -7 z^2+2 z a^{-1} +5 z a^{-3} +5 z a^{-5} +2 z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math] |
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