K13n2100
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Polynomial invariants
| Jones polynomial | Data:K13n2100/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-16 t^2+16 t-13+16 t^{-1} -16 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2100/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-5 z^6 a^{-2} +z^6 a^{-4} -4 z^6+3 a^2 z^4-8 z^4 a^{-2} +5 z^4 a^{-4} -2 z^4-8 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +4 z^2-a^2-4 a^{-2} +3 a^{-4} - a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9-a z^9-z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-23 a^2 z^8-12 z^8 a^{-2} +3 z^8 a^{-4} -39 z^8-19 a^3 z^7-25 a z^7-19 z^7 a^{-1} -12 z^7 a^{-3} +z^7 a^{-5} -4 a^4 z^6+29 a^2 z^6+6 z^6 a^{-2} -9 z^6 a^{-4} +48 z^6+25 a^3 z^5+42 a z^5+29 z^5 a^{-1} +12 z^5 a^{-3} +4 a^4 z^4-9 a^2 z^4+7 z^4 a^{-2} +15 z^4 a^{-4} +3 z^4 a^{-6} -18 z^4-8 a^3 z^3-18 a z^3-16 z^3 a^{-1} -5 z^3 a^{-3} +2 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2-2 a^2 z^2-12 z^2 a^{-2} -10 z^2 a^{-4} -3 z^2 a^{-6} -6 z^2+a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +a^2+4 a^{-2} +3 a^{-4} + a^{-6} +4 }[/math] |
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