K12n302
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-6 q^6+10 q^5-15 q^4+18 q^3-18 q^2+17 q-12+8 q^{-1} -4 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+27 t-37+27 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4+1 }[/math] |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4+a^2 z^2+4 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +7 z^9 a^{-3} +3 z^9 a^{-5} +11 z^8 a^{-2} +8 z^8 a^{-4} +3 z^8 a^{-6} +6 z^8+4 a z^7-z^7 a^{-1} -7 z^7 a^{-3} -z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-28 z^6 a^{-2} -14 z^6 a^{-4} -z^6 a^{-6} -14 z^6-10 a z^5-13 z^5 a^{-1} -2 z^5 a^{-3} +6 z^5 a^{-5} +5 z^5 a^{-7} -2 a^2 z^4+17 z^4 a^{-2} +6 z^4 a^{-4} +2 z^4 a^{-6} +3 z^4 a^{-8} +8 z^4+6 a z^3+7 z^3 a^{-1} -3 z^3 a^{-3} -12 z^3 a^{-5} -8 z^3 a^{-7} +a^2 z^2-z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -3 z^2 a^{-8} -z^2+z a^{-1} +5 z a^{-3} +7 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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