K13n2248
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Polynomial invariants
| Jones polynomial | Data:K13n2248/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-14 t+19-14 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2248/Conway Polynomial |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6+z^6 a^{-2} -z^6+a^4 z^4-3 a^2 z^4+6 z^4 a^{-2} -z^4 a^{-4} -3 z^4+2 a^4 z^2-4 a^2 z^2+9 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2+a^4-2 a^2+4 a^{-2} -2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +a^2 z^{10}+3 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+3 a^3 z^9+4 a z^9-6 z^9 a^{-1} -6 z^9 a^{-3} +z^9 a^{-5} +4 a^4 z^8+3 a^2 z^8-26 z^8 a^{-2} -15 z^8 a^{-4} -12 z^8+3 a^5 z^7-4 a^3 z^7-12 a z^7+4 z^7 a^{-1} +2 z^7 a^{-3} -7 z^7 a^{-5} +a^6 z^6-10 a^4 z^6-13 a^2 z^6+66 z^6 a^{-2} +34 z^6 a^{-4} +30 z^6-9 a^5 z^5-6 a^3 z^5+17 a z^5+24 z^5 a^{-1} +25 z^5 a^{-3} +15 z^5 a^{-5} -3 a^6 z^4+5 a^4 z^4+12 a^2 z^4-59 z^4 a^{-2} -30 z^4 a^{-4} -25 z^4+7 a^5 z^3+7 a^3 z^3-11 a z^3-28 z^3 a^{-1} -30 z^3 a^{-3} -13 z^3 a^{-5} +2 a^6 z^2-2 a^4 z^2-7 a^2 z^2+22 z^2 a^{-2} +11 z^2 a^{-4} +8 z^2-2 a^5 z-3 a^3 z+2 a z+8 z a^{-1} +9 z a^{-3} +4 z a^{-5} +a^4+2 a^2-4 a^{-2} -2 a^{-4} }[/math] |
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