K12n820
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-3} -4 q^{-4} +8 q^{-5} -11 q^{-6} +14 q^{-7} -15 q^{-8} +14 q^{-9} -11 q^{-10} +7 q^{-11} -4 q^{-12} + q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-12 t^2+17 t-19+17 t^{-1} -12 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-2 z^6+4 z^4+7 z^2+1 }[/math] |
| Determinant | 91 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{10}+3 z^4 a^{10}+z^2 a^{10}-a^{10}-z^8 a^8-5 z^6 a^8-8 z^4 a^8-5 z^2 a^8-a^8+2 z^6 a^6+9 z^4 a^6+11 z^2 a^6+3 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{16}+4 z^5 a^{15}-3 z^3 a^{15}+7 z^6 a^{14}-7 z^4 a^{14}+z^2 a^{14}+8 z^7 a^{13}-8 z^5 a^{13}-z^3 a^{13}+2 z a^{13}+7 z^8 a^{12}-8 z^6 a^{12}+2 z^2 a^{12}+4 z^9 a^{11}-z^7 a^{11}-10 z^5 a^{11}+9 z^3 a^{11}-2 z a^{11}+z^{10} a^{10}+7 z^8 a^{10}-22 z^6 a^{10}+18 z^4 a^{10}-6 z^2 a^{10}+a^{10}+5 z^9 a^9-10 z^7 a^9-z^5 a^9+8 z^3 a^9-3 z a^9+z^{10} a^8-4 z^6 a^8-z^4 a^8+4 z^2 a^8-a^8+z^9 a^7-z^7 a^7-3 z^5 a^7+z^3 a^7+z a^7+3 z^6 a^6-11 z^4 a^6+11 z^2 a^6-3 a^6 }[/math] |
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