K12n631
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+4 q^6-7 q^5+11 q^4-13 q^3+13 q^2-13 q+10-6 q^{-1} +3 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-19 t+29-19 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +z^4-5 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -z^2+2 a^2-2 a^{-2} +2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +5 z^9 a^{-1} +10 z^9 a^{-3} +5 z^9 a^{-5} +2 z^8 a^{-2} +3 z^8 a^{-4} +4 z^8 a^{-6} +3 z^8-20 z^7 a^{-1} -38 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} -29 z^6 a^{-2} -34 z^6 a^{-4} -15 z^6 a^{-6} -10 z^6+3 a z^5+33 z^5 a^{-1} +46 z^5 a^{-3} +13 z^5 a^{-5} -3 z^5 a^{-7} +46 z^4 a^{-2} +45 z^4 a^{-4} +15 z^4 a^{-6} +16 z^4-2 a z^3-26 z^3 a^{-1} -30 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} +3 a^2 z^2-25 z^2 a^{-2} -21 z^2 a^{-4} -4 z^2 a^{-6} -5 z^2+2 a z+10 z a^{-1} +10 z a^{-3} +2 z a^{-5} -2 a^2+2 a^{-2} +2 a^{-4} -1 }[/math] |
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