K13n3790
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Polynomial invariants
| Jones polynomial | Data:K13n3790/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+32 t-41+32 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3790/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -3 z^4+2 a^2 z^2+z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -6 z^2+2 a^2+2 a^{-2} -3 }[/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} +3 z^9 a^{-3} +8 z^9 a^{-5} -35 z^8 a^{-2} -15 z^8 a^{-4} +8 z^8 a^{-6} -12 z^8+a z^7+z^7 a^{-1} -24 z^7 a^{-3} -17 z^7 a^{-5} +7 z^7 a^{-7} +3 a^2 z^6+54 z^6 a^{-2} +17 z^6 a^{-4} -12 z^6 a^{-6} +4 z^6 a^{-8} +24 z^6-12 a z^5-z^5 a^{-1} +38 z^5 a^{-3} +15 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} -11 a^2 z^4-35 z^4 a^{-2} -4 z^4 a^{-4} +2 z^4 a^{-6} -6 z^4 a^{-8} -34 z^4+10 a z^3+3 z^3 a^{-1} -14 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} -z^3 a^{-9} +9 a^2 z^2+10 z^2 a^{-2} +z^2 a^{-6} +z^2 a^{-8} +19 z^2-2 a z-2 z a^{-1} -2 a^2-2 a^{-2} -3 }[/math] |
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