K13n3855
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Polynomial invariants
| Jones polynomial | Data:K13n3855/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+3 t-3+3 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n3855/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -7 z^6+4 a^2 z^4+16 z^4 a^{-2} -4 z^4 a^{-4} -17 z^4+5 a^2 z^2+14 z^2 a^{-2} -4 z^2 a^{-4} -16 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +z^{10} a^{-4} +7 z^{10}+3 a^3 z^9-7 a z^9-10 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-22 a^2 z^8-30 z^8 a^{-2} -4 z^8 a^{-4} +3 z^8 a^{-6} -46 z^8-16 a^3 z^7-9 a z^7+z^7 a^{-1} -22 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} -5 a^4 z^6+33 a^2 z^6+64 z^6 a^{-2} -z^6 a^{-4} -14 z^6 a^{-6} +89 z^6+23 a^3 z^5+34 a z^5+27 z^5 a^{-1} +38 z^5 a^{-3} +18 z^5 a^{-5} -4 z^5 a^{-7} +6 a^4 z^4-20 a^2 z^4-60 z^4 a^{-2} +2 z^4 a^{-4} +15 z^4 a^{-6} -73 z^4-12 a^3 z^3-23 a z^3-27 z^3 a^{-1} -27 z^3 a^{-3} -8 z^3 a^{-5} +3 z^3 a^{-7} -2 a^4 z^2+8 a^2 z^2+24 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} +29 z^2+2 a^3 z+5 a z+7 z a^{-1} +6 z a^{-3} +2 z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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