K12n60
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^6+6 q^5-10 q^4+14 q^3-16 q^2+16 q-14+11 q^{-1} -6 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+20 t-23+20 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-3 z^6-2 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -6 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-15 z^4 a^{-2} +5 z^4 a^{-4} +9 z^4-3 a^2 z^2-19 z^2 a^{-2} +10 z^2 a^{-4} -z^2 a^{-6} +14 z^2-2 a^2-10 a^{-2} +7 a^{-4} -2 a^{-6} +8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+8 z^9 a^{-1} +5 z^9 a^{-3} +3 a^2 z^8+14 z^8 a^{-2} +8 z^8 a^{-4} +9 z^8+a^3 z^7-6 a z^7-17 z^7 a^{-1} -5 z^7 a^{-3} +5 z^7 a^{-5} -12 a^2 z^6-54 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} -43 z^6-4 a^3 z^5-6 a z^5-3 z^5 a^{-1} -8 z^5 a^{-3} -7 z^5 a^{-5} +16 a^2 z^4+69 z^4 a^{-2} +35 z^4 a^{-4} +6 z^4 a^{-6} +56 z^4+5 a^3 z^3+14 a z^3+14 z^3 a^{-1} +12 z^3 a^{-3} +10 z^3 a^{-5} +3 z^3 a^{-7} -9 a^2 z^2-44 z^2 a^{-2} -26 z^2 a^{-4} -6 z^2 a^{-6} -33 z^2-2 a^3 z-5 a z-5 z a^{-1} -4 z a^{-3} -4 z a^{-5} -2 z a^{-7} +2 a^2+10 a^{-2} +7 a^{-4} +2 a^{-6} +8 }[/math] |
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