K12n315
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^3+5 q^2-7 q+10-10 q^{-1} +10 q^{-2} -8 q^{-3} +5 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-14 t+19-14 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^2+1 }[/math] |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6+a^4 z^4-4 a^2 z^4+3 z^4+2 a^4 z^2-7 a^2 z^2-2 z^2 a^{-2} +8 z^2+a^4-4 a^2-2 a^{-2} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+4 a z^9+z^9 a^{-1} +4 a^4 z^8+a^2 z^8-3 z^8+3 a^5 z^7-8 a^3 z^7-15 a z^7-4 z^7 a^{-1} +a^6 z^6-13 a^4 z^6-11 a^2 z^6+z^6 a^{-2} +4 z^6-10 a^5 z^5+3 a^3 z^5+24 a z^5+11 z^5 a^{-1} -3 a^6 z^4+10 a^4 z^4+18 a^2 z^4+3 z^4 a^{-2} +8 z^4+7 a^5 z^3+3 a^3 z^3-12 a z^3-6 z^3 a^{-1} +2 z^3 a^{-3} +a^6 z^2-3 a^4 z^2-13 a^2 z^2-5 z^2 a^{-2} -14 z^2-a^5 z-2 a^3 z-a z-z a^{-1} -z a^{-3} +a^4+4 a^2+2 a^{-2} +6 }[/math] |
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