K13n1236
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Polynomial invariants
| Jones polynomial | Data:K13n1236/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+9 t-11+9 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1236/Conway Polynomial |
| Determinant | 35 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-6} -6 z^4 a^{-2} -z^4 a^{-4} +4 z^4 a^{-6} -z^4 a^{-8} +z^4-10 z^2 a^{-2} -z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2-5 a^{-2} +3 a^{-6} - a^{-8} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-1} -6 z^9 a^{-5} -z^9 a^{-7} +4 z^9 a^{-9} +2 z^8 a^{-2} -8 z^8 a^{-4} -25 z^8 a^{-6} -13 z^8 a^{-8} +3 z^8 a^{-10} +z^8-6 z^7 a^{-1} +10 z^7 a^{-5} -15 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} -15 z^6 a^{-2} +17 z^6 a^{-4} +50 z^6 a^{-6} +12 z^6 a^{-8} -13 z^6 a^{-10} -7 z^6+9 z^5 a^{-1} -9 z^5 a^{-3} -12 z^5 a^{-5} +30 z^5 a^{-7} +20 z^5 a^{-9} -4 z^5 a^{-11} +30 z^4 a^{-2} -17 z^4 a^{-4} -47 z^4 a^{-6} -3 z^4 a^{-8} +13 z^4 a^{-10} +16 z^4-2 z^3 a^{-1} +19 z^3 a^{-3} +15 z^3 a^{-5} -18 z^3 a^{-7} -9 z^3 a^{-9} +3 z^3 a^{-11} -22 z^2 a^{-2} +9 z^2 a^{-4} +22 z^2 a^{-6} +z^2 a^{-8} -4 z^2 a^{-10} -14 z^2-2 z a^{-1} -9 z a^{-3} -7 z a^{-5} +2 z a^{-7} +2 z a^{-9} +5 a^{-2} -3 a^{-6} - a^{-8} +4 }[/math] |
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