K12n883
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+3 q^7-6 q^6+11 q^5-15 q^4+16 q^3-16 q^2+14 q-9+6 q^{-1} -2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-12 t^2+22 t-25+22 t^{-1} -12 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+6 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +7 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4+7 z^2 a^{-2} -2 z^2 a^{-6} -4 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} +8 z^9 a^{-3} +5 z^9 a^{-5} -4 z^8 a^{-2} +z^8 a^{-4} +6 z^8 a^{-6} +z^8-8 z^7 a^{-1} -24 z^7 a^{-3} -11 z^7 a^{-5} +5 z^7 a^{-7} +14 z^6 a^{-2} -6 z^6 a^{-4} -13 z^6 a^{-6} +3 z^6 a^{-8} +4 z^6+3 a z^5+16 z^5 a^{-1} +38 z^5 a^{-3} +14 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} -26 z^4 a^{-2} +7 z^4 a^{-4} +12 z^4 a^{-6} -6 z^4 a^{-8} -15 z^4-6 a z^3-20 z^3 a^{-1} -27 z^3 a^{-3} -5 z^3 a^{-5} +6 z^3 a^{-7} -2 z^3 a^{-9} +15 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +2 z^2 a^{-8} +10 z^2+2 a z+5 z a^{-1} +4 z a^{-3} -z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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