K12n126
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-5 q^8+10 q^7-16 q^6+21 q^5-22 q^4+22 q^3-18 q^2+12 q-6+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+32 t-43+32 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^2+1 }[/math] |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -8 z^2 a^{-2} +12 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +2 z^2-5 a^{-2} +7 a^{-4} -3 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +6 z^9 a^{-3} +13 z^9 a^{-5} +7 z^9 a^{-7} +5 z^8 a^{-2} +13 z^8 a^{-4} +17 z^8 a^{-6} +9 z^8 a^{-8} +z^7 a^{-1} -12 z^7 a^{-3} -23 z^7 a^{-5} -5 z^7 a^{-7} +5 z^7 a^{-9} -11 z^6 a^{-2} -45 z^6 a^{-4} -55 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +5 z^5 a^{-1} +20 z^5 a^{-3} +7 z^5 a^{-5} -18 z^5 a^{-7} -10 z^5 a^{-9} +25 z^4 a^{-2} +61 z^4 a^{-4} +51 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -12 z^3 a^{-3} +4 z^3 a^{-5} +13 z^3 a^{-7} +4 z^3 a^{-9} -21 z^2 a^{-2} -35 z^2 a^{-4} -22 z^2 a^{-6} -3 z^2 a^{-8} -5 z^2+2 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} +z a^{-9} +5 a^{-2} +7 a^{-4} +3 a^{-6} +2 }[/math] |
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