K12a936
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+10 q^4-17 q^3+24 q^2-30 q+32-29 q^{-1} +24 q^{-2} -16 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+20 t^2-46 t+61-46 t^{-1} +20 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^6-4 z^4-2 z^2+1 }[/math] |
| Determinant | 201 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6 a^{-2} -2 z^6+a^4 z^4-a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -4 z^4+a^4 z^2-z^2 a^{-2} +z^2 a^{-4} -3 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +7 a^2 z^{10}+9 z^{10} a^{-2} +16 z^{10}+8 a^3 z^9+7 a z^9+11 z^9 a^{-1} +12 z^9 a^{-3} +7 a^4 z^8-11 a^2 z^8-18 z^8 a^{-2} +9 z^8 a^{-4} -45 z^8+4 a^5 z^7-13 a^3 z^7-30 a z^7-51 z^7 a^{-1} -34 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-14 a^4 z^6+10 a^2 z^6+7 z^6 a^{-2} -23 z^6 a^{-4} +z^6 a^{-6} +56 z^6-9 a^5 z^5+4 a^3 z^5+42 a z^5+73 z^5 a^{-1} +36 z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+6 a^4 z^4-11 a^2 z^4+11 z^4 a^{-2} +17 z^4 a^{-4} -2 z^4 a^{-6} -27 z^4+5 a^5 z^3-3 a^3 z^3-27 a z^3-38 z^3 a^{-1} -18 z^3 a^{-3} +z^3 a^{-5} +a^6 z^2+3 a^2 z^2-7 z^2 a^{-2} -7 z^2 a^{-4} +4 z^2+2 a^3 z+6 a z+8 z a^{-1} +4 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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