K12n694
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{14}+3 q^{13}-5 q^{12}+6 q^{11}-7 q^{10}+6 q^9-5 q^8+3 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^2+9 t-11+9 t^{-1} -4 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+16 z^4+9 z^2+1 }[/math] |
| Determinant | 35 |
| 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} -z^4 a^{-12} +19 z^2 a^{-8} -9 z^2 a^{-10} -z^2 a^{-12} +6 a^{-8} -6 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-12} +2 z^8 a^{-14} +z^7 a^{-11} +5 z^7 a^{-13} +4 z^7 a^{-15} -8 z^6 a^{-8} -3 z^6 a^{-10} -z^6 a^{-12} -3 z^6 a^{-14} +3 z^6 a^{-16} -3 z^5 a^{-9} -4 z^5 a^{-11} -13 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} +20 z^4 a^{-8} +15 z^4 a^{-10} +2 z^4 a^{-12} -7 z^4 a^{-16} +10 z^3 a^{-9} +13 z^3 a^{-11} +13 z^3 a^{-13} +8 z^3 a^{-15} -2 z^3 a^{-17} -19 z^2 a^{-8} -17 z^2 a^{-10} +2 z^2 a^{-16} -7 z a^{-9} -8 z a^{-11} -4 z a^{-13} -3 z a^{-15} +6 a^{-8} +6 a^{-10} + a^{-12} }[/math] |
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