K12n12
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-5 q^6+8 q^5-11 q^4+13 q^3-13 q^2+11 q-8+5 q^{-1} -2 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+18 t-19+18 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^4-4 z^2+1 }[/math] |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+3 z^2 a^{-4} -3 z^2 a^{-6} -5 z^2+2 a^2+2 a^{-4} -2 a^{-6} + a^{-8} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +z^8 a^{-2} +2 z^8 a^{-4} +3 z^8 a^{-6} +2 z^8+2 a z^7-3 z^7 a^{-1} -15 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-4 z^6 a^{-2} -8 z^6 a^{-4} -7 z^6 a^{-6} -2 z^6-6 a z^5+2 z^5 a^{-1} +25 z^5 a^{-3} +20 z^5 a^{-5} +3 z^5 a^{-7} -4 a^2 z^4+3 z^4 a^{-2} +15 z^4 a^{-4} +12 z^4 a^{-6} +3 z^4 a^{-8} -7 z^4+4 a z^3-6 z^3 a^{-1} -19 z^3 a^{-3} -17 z^3 a^{-5} -8 z^3 a^{-7} +5 a^2 z^2-2 z^2 a^{-2} -9 z^2 a^{-4} -9 z^2 a^{-6} -5 z^2 a^{-8} +8 z^2+3 z a^{-1} +5 z a^{-3} +5 z a^{-5} +3 z a^{-7} -2 a^2+2 a^{-4} +2 a^{-6} + a^{-8} -2 }[/math] |
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