K12a160
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q+2-4 q^{-1} +8 q^{-2} -10 q^{-3} +14 q^{-4} -15 q^{-5} +15 q^{-6} -13 q^{-7} +9 q^{-8} -6 q^{-9} +3 q^{-10} - q^{-11} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+14 t^2-18 t+19-18 t^{-1} +14 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^8+9 z^6+12 z^4+7 z^2+1 }[/math] |
| Determinant | 101 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-4 z^4 a^8-4 z^2 a^8-a^8+z^8 a^6+5 z^6 a^6+7 z^4 a^6+z^2 a^6-3 a^6+z^8 a^4+6 z^6 a^4+14 z^4 a^4+17 z^2 a^4+8 a^4-z^6 a^2-5 z^4 a^2-7 z^2 a^2-3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-6 z^4 a^{12}+2 z^2 a^{12}+4 z^7 a^{11}-6 z^5 a^{11}+4 z^8 a^{10}-5 z^6 a^{10}+4 z^9 a^9-9 z^7 a^9+12 z^5 a^9-8 z^3 a^9+3 z a^9+3 z^{10} a^8-8 z^8 a^8+12 z^6 a^8-7 z^4 a^8+5 z^2 a^8-a^8+z^{11} a^7+2 z^9 a^7-15 z^7 a^7+27 z^5 a^7-14 z^3 a^7+2 z a^7+5 z^{10} a^6-19 z^8 a^6+26 z^6 a^6-10 z^4 a^6-4 z^2 a^6+3 a^6+z^{11} a^5-8 z^7 a^5+8 z^5 a^5+3 z^3 a^5-6 z a^5+2 z^{10} a^4-5 z^8 a^4-3 z^6 a^4+15 z^4 a^4-19 z^2 a^4+8 a^4+2 z^9 a^3-5 z^7 a^3-5 z^5 a^3+14 z^3 a^3-7 z a^3+2 z^8 a^2-9 z^6 a^2+12 z^4 a^2-8 z^2 a^2+3 a^2+z^7 a-5 z^5 a+7 z^3 a-3 z a }[/math] |
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