K12n715
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-6 q^3+10 q^2-13 q+15-14 q^{-1} +12 q^{-2} -8 q^{-3} +5 q^{-4} -2 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 6 t^2-22 t+33-22 t^{-1} +6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 6 z^4+2 z^2+1 }[/math] |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^4-a^4+2 z^4 a^2+2 z^2 a^2+a^2+3 z^4+4 z^2+2+z^4 a^{-2} -z^2 a^{-2} - a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+8 a z^9+5 z^9 a^{-1} +a^4 z^8-5 a^2 z^8+6 z^8 a^{-2} -11 a^3 z^7-30 a z^7-14 z^7 a^{-1} +5 z^7 a^{-3} +2 a^4 z^6+9 a^2 z^6-16 z^6 a^{-2} +3 z^6 a^{-4} -12 z^6+3 a^5 z^5+23 a^3 z^5+50 a z^5+18 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} -11 a^4 z^4-9 a^2 z^4+18 z^4 a^{-2} -6 z^4 a^{-4} +26 z^4-8 a^5 z^3-27 a^3 z^3-33 a z^3-6 z^3 a^{-1} +6 z^3 a^{-3} -2 z^3 a^{-5} +7 a^4 z^2+3 a^2 z^2-8 z^2 a^{-2} +z^2 a^{-4} -13 z^2+4 a^5 z+9 a^3 z+7 a z+z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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