K13n2168
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Polynomial invariants
| Jones polynomial | Data:K13n2168/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+12 t^3-19 t^2+24 t-25+24 t^{-1} -19 t^{-2} +12 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2168/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -z^8 a^{-4} -z^8+18 z^6 a^{-2} -6 z^6 a^{-4} -5 z^6+22 z^4 a^{-2} -12 z^4 a^{-4} +z^4 a^{-6} -8 z^4+14 z^2 a^{-2} -10 z^2 a^{-4} +2 z^2 a^{-6} -5 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +14 z^{10} a^{-2} +7 z^{10} a^{-4} +7 z^{10}+7 a z^9+z^9 a^{-1} +6 z^9 a^{-5} +4 a^2 z^8-55 z^8 a^{-2} -27 z^8 a^{-4} +2 z^8 a^{-6} -22 z^8+a^3 z^7-23 a z^7-29 z^7 a^{-1} -28 z^7 a^{-3} -23 z^7 a^{-5} -13 a^2 z^6+83 z^6 a^{-2} +45 z^6 a^{-4} -3 z^6 a^{-6} +22 z^6-3 a^3 z^5+20 a z^5+42 z^5 a^{-1} +57 z^5 a^{-3} +42 z^5 a^{-5} +4 z^5 a^{-7} +10 a^2 z^4-62 z^4 a^{-2} -29 z^4 a^{-4} +5 z^4 a^{-6} +z^4 a^{-8} -19 z^4+2 a^3 z^3-8 a z^3-28 z^3 a^{-1} -37 z^3 a^{-3} -26 z^3 a^{-5} -7 z^3 a^{-7} -a^2 z^2+22 z^2 a^{-2} +14 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} +8 z^2+2 a z+6 z a^{-1} +9 z a^{-3} +7 z a^{-5} +2 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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