K12n264
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-5 q^5+6 q^4-6 q^3+5 q^2-3 q+2+ q^{-1} -2 q^{-2} +2 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-a^2 z^4-5 z^4 a^{-2} +2 z^4 a^{-4} +6 z^4-3 a^2 z^2-9 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +10 z^2-2 a^2-5 a^{-2} +3 a^{-4} - a^{-6} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +a z^9+2 z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} +2 a^2 z^8-3 z^8 a^{-2} +3 z^8 a^{-6} +2 z^8+a^3 z^7-5 a z^7-14 z^7 a^{-1} -21 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -11 a^2 z^6-10 z^6 a^{-2} -17 z^6 a^{-4} -13 z^6 a^{-6} -17 z^6-5 a^3 z^5+a z^5+22 z^5 a^{-1} +29 z^5 a^{-3} +9 z^5 a^{-5} -4 z^5 a^{-7} +15 a^2 z^4+29 z^4 a^{-2} +26 z^4 a^{-4} +14 z^4 a^{-6} +32 z^4+6 a^3 z^3+7 a z^3-9 z^3 a^{-1} -15 z^3 a^{-3} -z^3 a^{-5} +4 z^3 a^{-7} -8 a^2 z^2-22 z^2 a^{-2} -14 z^2 a^{-4} -5 z^2 a^{-6} -21 z^2-2 a^3 z-3 a z+2 z a^{-3} -z a^{-7} +2 a^2+5 a^{-2} +3 a^{-4} + a^{-6} +6 }[/math] |
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