K12n151
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+7 q^7-11 q^6+15 q^5-16 q^4+16 q^3-13 q^2+9 q-5+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+24 t-33+24 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4 a^{-6} -6 z^2 a^{-2} +7 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 z^2-4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-3} +7 z^9 a^{-5} +4 z^9 a^{-7} +3 z^8 a^{-2} +7 z^8 a^{-4} +10 z^8 a^{-6} +6 z^8 a^{-8} +z^7 a^{-1} -5 z^7 a^{-3} -14 z^7 a^{-5} -4 z^7 a^{-7} +4 z^7 a^{-9} -6 z^6 a^{-2} -24 z^6 a^{-4} -36 z^6 a^{-6} -17 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +11 z^5 a^{-3} +8 z^5 a^{-5} -11 z^5 a^{-7} -11 z^5 a^{-9} +15 z^4 a^{-2} +37 z^4 a^{-4} +40 z^4 a^{-6} +13 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4-6 z^3 a^{-1} -10 z^3 a^{-3} +2 z^3 a^{-5} +12 z^3 a^{-7} +6 z^3 a^{-9} -16 z^2 a^{-2} -24 z^2 a^{-4} -17 z^2 a^{-6} -4 z^2 a^{-8} -5 z^2+2 z a^{-1} +3 z a^{-3} -z a^{-5} -2 z a^{-7} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math] |
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