K12n376
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-4 q^6+8 q^5-12 q^4+15 q^3-15 q^2+14 q-11+7 q^{-1} -3 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-10 t^2+19 t-23+19 t^{-1} -10 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6-6 z^4-z^2+1 }[/math] |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -6 z^6 a^{-2} +z^6 a^{-4} +z^6-14 z^4 a^{-2} +4 z^4 a^{-4} +4 z^4-14 z^2 a^{-2} +7 z^2 a^{-4} +6 z^2-5 a^{-2} +4 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +6 z^9 a^{-3} +2 z^9 a^{-5} +8 z^8 a^{-2} +4 z^8 a^{-4} +z^8 a^{-6} +5 z^8+3 a z^7-7 z^7 a^{-1} -12 z^7 a^{-3} -2 z^7 a^{-5} +a^2 z^6-30 z^6 a^{-2} -13 z^6 a^{-4} +2 z^6 a^{-6} -14 z^6-8 a z^5+9 z^5 a^{-3} +5 z^5 a^{-5} +4 z^5 a^{-7} -3 a^2 z^4+38 z^4 a^{-2} +21 z^4 a^{-4} +z^4 a^{-8} +13 z^4+5 a z^3+z^3 a^{-1} -2 z^3 a^{-3} -2 z^3 a^{-5} -4 z^3 a^{-7} +2 a^2 z^2-24 z^2 a^{-2} -14 z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} -9 z^2-a z-z a^{-1} +5 a^{-2} +4 a^{-4} + a^{-6} +3 }[/math] |
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