K12n758
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-5 q^{12}+9 q^{11}-14 q^{10}+17 q^9-17 q^8+16 q^7-12 q^6+8 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-14 t^2+21 t-23+21 t^{-1} -14 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 5 z^6+16 z^4+10 z^2+1 }[/math] |
| Determinant | 103 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +z^6 a^{-10} +3 z^4 a^{-6} +12 z^4 a^{-8} +2 z^4 a^{-10} -z^4 a^{-12} +2 z^2 a^{-6} +13 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +4 a^{-8} - a^{-10} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-10} +2 z^{10} a^{-12} +5 z^9 a^{-9} +9 z^9 a^{-11} +4 z^9 a^{-13} +6 z^8 a^{-8} +4 z^8 a^{-10} +2 z^8 a^{-14} +3 z^7 a^{-7} -9 z^7 a^{-9} -24 z^7 a^{-11} -12 z^7 a^{-13} +z^6 a^{-6} -18 z^6 a^{-8} -19 z^6 a^{-10} -z^6 a^{-12} -z^6 a^{-14} -7 z^5 a^{-7} +30 z^5 a^{-11} +28 z^5 a^{-13} +5 z^5 a^{-15} -3 z^4 a^{-6} +21 z^4 a^{-8} +19 z^4 a^{-10} -2 z^4 a^{-12} +4 z^4 a^{-14} +z^4 a^{-16} +3 z^3 a^{-7} +3 z^3 a^{-9} -20 z^3 a^{-11} -25 z^3 a^{-13} -5 z^3 a^{-15} +2 z^2 a^{-6} -16 z^2 a^{-8} -9 z^2 a^{-10} +8 z^2 a^{-12} -2 z^2 a^{-14} -z^2 a^{-16} -2 z a^{-9} +6 z a^{-11} +8 z a^{-13} +4 a^{-8} + a^{-10} -3 a^{-12} - a^{-14} }[/math] |
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