K12n339
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+3 q^7-7 q^6+11 q^5-14 q^4+16 q^3-15 q^2+13 q-8+5 q^{-1} -2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+21 t-25+21 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+7 z^4+4 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +8 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4+11 z^2 a^{-2} -2 z^2 a^{-6} -5 z^2+5 a^{-2} - a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +z^8 a^{-2} +5 z^8 a^{-4} +5 z^8 a^{-6} +z^8-4 z^7 a^{-1} -8 z^7 a^{-3} +z^7 a^{-5} +5 z^7 a^{-7} +4 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6 a^{-6} +3 z^6 a^{-8} +2 z^6+3 a z^5+10 z^5 a^{-1} +11 z^5 a^{-3} -5 z^5 a^{-5} -8 z^5 a^{-7} +z^5 a^{-9} -17 z^4 a^{-2} +z^4 a^{-4} +3 z^4 a^{-6} -5 z^4 a^{-8} -10 z^4-7 a z^3-16 z^3 a^{-1} -13 z^3 a^{-3} +2 z^3 a^{-5} +4 z^3 a^{-7} -2 z^3 a^{-9} +16 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} +2 z^2 a^{-8} +9 z^2+3 a z+7 z a^{-1} +6 z a^{-3} -z a^{-7} +z a^{-9} -5 a^{-2} - a^{-4} + a^{-6} -2 }[/math] |
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