K12n714
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+4 q^7-9 q^6+15 q^5-20 q^4+22 q^3-21 q^2+18 q-12+7 q^{-1} -2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+30 t-37+30 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+4 z^4+z^2+1 }[/math] |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +6 z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -2 z^4+6 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -3 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^9 a^{-1} +10 z^9 a^{-3} +7 z^9 a^{-5} +3 z^8 a^{-2} +12 z^8 a^{-4} +10 z^8 a^{-6} +z^8-z^7 a^{-1} -13 z^7 a^{-3} -4 z^7 a^{-5} +8 z^7 a^{-7} -26 z^6 a^{-4} -16 z^6 a^{-6} +4 z^6 a^{-8} +6 z^6+3 a z^5+3 z^5 a^{-3} -7 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} -16 z^4 a^{-2} +13 z^4 a^{-4} +10 z^4 a^{-6} -5 z^4 a^{-8} -14 z^4-4 a z^3-6 z^3 a^{-1} -2 z^3 a^{-3} +7 z^3 a^{-5} +6 z^3 a^{-7} -z^3 a^{-9} +11 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +7 z^2+a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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