K12n128
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+9 q^{10}-16 q^9+21 q^8-24 q^7+24 q^6-20 q^5+15 q^4-8 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-34 t+45-34 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+2 z^4+4 z^2+1 }[/math] |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} +3 z^4 a^{-4} -6 z^4 a^{-6} +5 z^4 a^{-8} +6 z^2 a^{-4} -8 z^2 a^{-6} +10 z^2 a^{-8} -4 z^2 a^{-10} +3 a^{-4} -4 a^{-6} +5 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +7 z^9 a^{-7} +13 z^9 a^{-9} +6 z^9 a^{-11} +8 z^8 a^{-6} +17 z^8 a^{-8} +16 z^8 a^{-10} +7 z^8 a^{-12} +3 z^7 a^{-5} -6 z^7 a^{-7} -15 z^7 a^{-9} -2 z^7 a^{-11} +4 z^7 a^{-13} -14 z^6 a^{-6} -44 z^6 a^{-8} -45 z^6 a^{-10} -14 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +4 z^5 a^{-7} -9 z^5 a^{-9} -19 z^5 a^{-11} -9 z^5 a^{-13} +6 z^4 a^{-4} +22 z^4 a^{-6} +42 z^4 a^{-8} +36 z^4 a^{-10} +8 z^4 a^{-12} -2 z^4 a^{-14} -4 z^3 a^{-5} -5 z^3 a^{-7} +11 z^3 a^{-9} +19 z^3 a^{-11} +7 z^3 a^{-13} -8 z^2 a^{-4} -17 z^2 a^{-6} -22 z^2 a^{-8} -16 z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} +2 z a^{-7} -2 z a^{-9} -6 z a^{-11} -2 z a^{-13} +3 a^{-4} +4 a^{-6} +5 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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