K13n1368
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Polynomial invariants
| Jones polynomial | Data:K13n1368/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+23 t-29+23 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1368/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +8 z^4 a^{-2} -4 z^4 a^{-4} -2 z^4+13 z^2 a^{-2} -10 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+8 a^{-2} -7 a^{-4} +2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^9 a^{-1} +8 z^9 a^{-3} +5 z^9 a^{-5} -3 z^8 a^{-2} +4 z^8 a^{-6} +z^8-7 z^7 a^{-1} -23 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +13 z^6 a^{-2} +2 z^6 a^{-4} -7 z^6 a^{-6} +4 z^6+3 a z^5+16 z^5 a^{-1} +42 z^5 a^{-3} +34 z^5 a^{-5} +5 z^5 a^{-7} -29 z^4 a^{-2} -9 z^4 a^{-4} +10 z^4 a^{-6} +3 z^4 a^{-8} -13 z^4-6 a z^3-25 z^3 a^{-1} -44 z^3 a^{-3} -35 z^3 a^{-5} -10 z^3 a^{-7} +22 z^2 a^{-2} +14 z^2 a^{-4} -3 z^2 a^{-6} -4 z^2 a^{-8} +9 z^2+3 a z+10 z a^{-1} +17 z a^{-3} +15 z a^{-5} +5 z a^{-7} -8 a^{-2} -7 a^{-4} -2 a^{-6} -2 }[/math] |
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