K12n886
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -3 q^8+8 q^7-15 q^6+22 q^5-25 q^4+27 q^3-24 q^2+18 q-11+5 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+38 t-53+38 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-z^4+4 z^2+1 }[/math] |
| Determinant | 159 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} -z^4 a^{-6} -z^4+2 z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} + a^{-2} - a^{-4} +3 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +10 z^9 a^{-3} +16 z^9 a^{-5} +6 z^9 a^{-7} +14 z^8 a^{-2} +19 z^8 a^{-4} +8 z^8 a^{-6} +3 z^8 a^{-8} +11 z^7 a^{-1} -3 z^7 a^{-3} -25 z^7 a^{-5} -11 z^7 a^{-7} -19 z^6 a^{-2} -47 z^6 a^{-4} -23 z^6 a^{-6} +5 z^6+a z^5-14 z^5 a^{-1} -19 z^5 a^{-3} +7 z^5 a^{-5} +17 z^5 a^{-7} +6 z^5 a^{-9} +5 z^4 a^{-2} +29 z^4 a^{-4} +14 z^4 a^{-6} -6 z^4 a^{-8} -4 z^4+4 z^3 a^{-1} +13 z^3 a^{-3} -21 z^3 a^{-7} -12 z^3 a^{-9} +z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-8} +2 z a^{-5} +8 z a^{-7} +6 z a^{-9} - a^{-2} - a^{-4} -3 a^{-6} -2 a^{-8} }[/math] |
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