K12n671
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+7 q^{11}-12 q^{10}+14 q^9-16 q^8+15 q^7-12 q^6+9 q^5-4 q^4+2 q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-13 t^2+18 t-19+18 t^{-1} -13 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-2 z^6+3 z^4+4 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +9 z^4 a^{-6} -9 z^4 a^{-8} +3 z^4 a^{-10} +12 z^2 a^{-6} -9 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -4 a^{-8} - a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +5 z^9 a^{-9} +4 z^9 a^{-11} +8 z^8 a^{-10} +8 z^8 a^{-12} -z^7 a^{-7} -7 z^7 a^{-9} +3 z^7 a^{-11} +9 z^7 a^{-13} +3 z^6 a^{-6} -21 z^6 a^{-10} -12 z^6 a^{-12} +6 z^6 a^{-14} -z^5 a^{-7} -7 z^5 a^{-9} -25 z^5 a^{-11} -16 z^5 a^{-13} +3 z^5 a^{-15} -11 z^4 a^{-6} -12 z^4 a^{-8} +11 z^4 a^{-10} +5 z^4 a^{-12} -6 z^4 a^{-14} +z^4 a^{-16} -3 z^3 a^{-7} +8 z^3 a^{-9} +29 z^3 a^{-11} +16 z^3 a^{-13} -2 z^3 a^{-15} +13 z^2 a^{-6} +13 z^2 a^{-8} -3 z^2 a^{-10} +z^2 a^{-12} +3 z^2 a^{-14} -z^2 a^{-16} +4 z a^{-7} -2 z a^{-9} -12 z a^{-11} -6 z a^{-13} -5 a^{-6} -4 a^{-8} + a^{-10} + a^{-12} }[/math] |
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