K12n752
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+3 q^7-7 q^6+11 q^5-13 q^4+15 q^3-14 q^2+11 q-7+4 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+20 t-25+20 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4+2 z^2+1 }[/math] |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -z^4+5 z^2 a^{-4} -2 z^2 a^{-6} -z^2-2 a^{-2} +4 a^{-4} -2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +6 z^8 a^{-4} +6 z^8 a^{-6} -11 z^7 a^{-3} -6 z^7 a^{-5} +5 z^7 a^{-7} -z^6 a^{-2} -21 z^6 a^{-4} -13 z^6 a^{-6} +3 z^6 a^{-8} +4 z^6+a z^5-z^5 a^{-1} +10 z^5 a^{-3} +3 z^5 a^{-5} -8 z^5 a^{-7} +z^5 a^{-9} +4 z^4 a^{-2} +31 z^4 a^{-4} +14 z^4 a^{-6} -5 z^4 a^{-8} -8 z^4-2 a z^3-z^3 a^{-1} +z^3 a^{-3} +4 z^3 a^{-5} +2 z^3 a^{-7} -2 z^3 a^{-9} -6 z^2 a^{-2} -18 z^2 a^{-4} -10 z^2 a^{-6} +z^2 a^{-8} +z^2-z a^{-3} -3 z a^{-5} -z a^{-7} +z a^{-9} +2 a^{-2} +4 a^{-4} +2 a^{-6} +1 }[/math] |
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