K13n4156
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Polynomial invariants
| Jones polynomial | Data:K13n4156/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-23 t+27-23 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4156/Conway Polynomial |
| Determinant | 117 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+9 z^4 a^{-2} -3 z^4 a^{-4} -8 z^4+3 a^2 z^2+8 z^2 a^{-2} -2 z^2 a^{-4} -10 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10}+a z^9-4 z^9 a^{-1} +2 z^9 a^{-3} +7 z^9 a^{-5} -37 z^8 a^{-2} -21 z^8 a^{-4} +4 z^8 a^{-6} -12 z^8+2 a z^7+2 z^7 a^{-1} -28 z^7 a^{-3} -27 z^7 a^{-5} +z^7 a^{-7} +6 a^2 z^6+60 z^6 a^{-2} +19 z^6 a^{-4} -14 z^6 a^{-6} +33 z^6+3 a^3 z^5-a z^5+5 z^5 a^{-1} +39 z^5 a^{-3} +27 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-9 a^2 z^4-49 z^4 a^{-2} -8 z^4 a^{-4} +10 z^4 a^{-6} -41 z^4-3 a^3 z^3-a z^3-6 z^3 a^{-1} -17 z^3 a^{-3} -8 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2+7 a^2 z^2+19 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +22 z^2+a^3 z+a z+z a^{-1} +2 z a^{-3} +z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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