K12n187
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{15}-3 q^{14}+5 q^{13}-7 q^{12}+8 q^{11}-9 q^{10}+7 q^9-5 q^8+3 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^2+12 t-15+12 t^{-1} -5 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+15 z^4+8 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -3 z^4 a^{-10} -2 z^4 a^{-12} +19 z^2 a^{-8} -8 z^2 a^{-10} -4 z^2 a^{-12} +z^2 a^{-14} +6 a^{-8} -5 a^{-10} - a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-12} +z^{10} a^{-14} +z^9 a^{-11} +4 z^9 a^{-13} +3 z^9 a^{-15} +z^8 a^{-8} -5 z^8 a^{-12} +4 z^8 a^{-16} -7 z^7 a^{-11} -20 z^7 a^{-13} -10 z^7 a^{-15} +3 z^7 a^{-17} -8 z^6 a^{-8} -3 z^6 a^{-10} +9 z^6 a^{-12} -11 z^6 a^{-14} -14 z^6 a^{-16} +z^6 a^{-18} -3 z^5 a^{-9} +16 z^5 a^{-11} +37 z^5 a^{-13} +8 z^5 a^{-15} -10 z^5 a^{-17} +20 z^4 a^{-8} +13 z^4 a^{-10} -4 z^4 a^{-12} +17 z^4 a^{-14} +11 z^4 a^{-16} -3 z^4 a^{-18} +9 z^3 a^{-9} -8 z^3 a^{-11} -26 z^3 a^{-13} -3 z^3 a^{-15} +6 z^3 a^{-17} -19 z^2 a^{-8} -15 z^2 a^{-10} +3 z^2 a^{-12} -5 z^2 a^{-14} -3 z^2 a^{-16} +z^2 a^{-18} -6 z a^{-9} -z a^{-11} +7 z a^{-13} +z a^{-15} -z a^{-17} +6 a^{-8} +5 a^{-10} - a^{-12} - a^{-14} }[/math] |
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