K13n4182
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Polynomial invariants
| Jones polynomial | Data:K13n4182/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+26 t-35+26 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4182/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+3 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} -3 z^2+2 a^{-2} +2 a^{-4} -2 a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-z^9 a^{-1} +5 z^9 a^{-3} +6 z^9 a^{-5} -16 z^8 a^{-2} -9 z^8 a^{-4} +6 z^8 a^{-6} -z^8+4 a z^7-2 z^7 a^{-1} -26 z^7 a^{-3} -15 z^7 a^{-5} +5 z^7 a^{-7} +a^2 z^6+18 z^6 a^{-2} +7 z^6 a^{-4} -11 z^6 a^{-6} +3 z^6 a^{-8} -2 z^6-12 a z^5+5 z^5 a^{-1} +45 z^5 a^{-3} +19 z^5 a^{-5} -8 z^5 a^{-7} +z^5 a^{-9} -3 a^2 z^4-3 z^4 a^{-2} +8 z^4 a^{-4} +8 z^4 a^{-6} -5 z^4 a^{-8} -z^4+5 a z^3-10 z^3 a^{-1} -28 z^3 a^{-3} -9 z^3 a^{-5} +2 z^3 a^{-7} -2 z^3 a^{-9} +a^2 z^2-2 z^2 a^{-2} -8 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +z^2+2 a z+6 z a^{-1} +7 z a^{-3} +z a^{-5} -z a^{-7} +z a^{-9} -2 a^{-2} +2 a^{-4} +2 a^{-6} -1 }[/math] |
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