K12n843
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^8+7 q^7-13 q^6+19 q^5-24 q^4+25 q^3-22 q^2+18 q-11+5 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-15 t^2+34 t-43+34 t^{-1} -15 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+3 z^4+z^2+1 }[/math] |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +6 z^4 a^{-4} -2 z^4 a^{-6} -z^4-3 z^2 a^{-2} +7 z^2 a^{-4} -3 z^2 a^{-6} - a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +9 z^9 a^{-3} +12 z^9 a^{-5} +3 z^9 a^{-7} +14 z^8 a^{-2} +21 z^8 a^{-4} +8 z^8 a^{-6} +z^8 a^{-8} +11 z^7 a^{-1} -2 z^7 a^{-3} -11 z^7 a^{-5} +2 z^7 a^{-7} -22 z^6 a^{-2} -52 z^6 a^{-4} -19 z^6 a^{-6} +6 z^6 a^{-8} +5 z^6+a z^5-14 z^5 a^{-1} -19 z^5 a^{-3} -18 z^5 a^{-5} -11 z^5 a^{-7} +3 z^5 a^{-9} +12 z^4 a^{-2} +40 z^4 a^{-4} +12 z^4 a^{-6} -12 z^4 a^{-8} -4 z^4+3 z^3 a^{-1} +15 z^3 a^{-3} +26 z^3 a^{-5} +10 z^3 a^{-7} -4 z^3 a^{-9} -7 z^2 a^{-2} -13 z^2 a^{-4} -3 z^2 a^{-6} +3 z^2 a^{-8} -z a^{-1} -4 z a^{-3} -6 z a^{-5} -3 z a^{-7} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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