K12n140
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+4 q^9-8 q^8+13 q^7-17 q^6+18 q^5-18 q^4+15 q^3-10 q^2+6 q-1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+27 t-37+27 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4+1 }[/math] |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -z^4 a^{-2} +2 z^4 a^{-4} -4 z^4 a^{-6} +z^2 a^{-2} +3 z^2 a^{-4} -8 z^2 a^{-6} +4 z^2 a^{-8} +2 a^{-2} + a^{-4} -5 a^{-6} +4 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +7 z^9 a^{-5} +12 z^9 a^{-7} +5 z^9 a^{-9} +8 z^8 a^{-4} +12 z^8 a^{-6} +8 z^8 a^{-8} +4 z^8 a^{-10} +3 z^7 a^{-3} -15 z^7 a^{-5} -32 z^7 a^{-7} -13 z^7 a^{-9} +z^7 a^{-11} -21 z^6 a^{-4} -52 z^6 a^{-6} -45 z^6 a^{-8} -14 z^6 a^{-10} +z^5 a^{-3} +14 z^5 a^{-5} +19 z^5 a^{-7} +3 z^5 a^{-9} -3 z^5 a^{-11} +6 z^4 a^{-2} +30 z^4 a^{-4} +61 z^4 a^{-6} +52 z^4 a^{-8} +15 z^4 a^{-10} +z^3 a^{-1} -z^3 a^{-3} -12 z^3 a^{-5} -6 z^3 a^{-7} +7 z^3 a^{-9} +3 z^3 a^{-11} -z^2 a^{-2} -15 z^2 a^{-4} -33 z^2 a^{-6} -24 z^2 a^{-8} -5 z^2 a^{-10} +3 z a^{-3} +6 z a^{-5} +2 z a^{-7} -2 z a^{-9} -z a^{-11} -2 a^{-2} + a^{-4} +5 a^{-6} +4 a^{-8} + a^{-10} }[/math] |
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