K13n3938
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Polynomial invariants
| Jones polynomial | Data:K13n3938/Jones Polynomial |
| Alexander polynomial | 1 |
| Conway polynomial | Data:K13n3938/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+7 a^2 z^6+z^6 a^{-2} -7 z^6-4 a^4 z^4+17 a^2 z^4+4 z^4 a^{-2} -17 z^4-5 a^4 z^2+17 a^2 z^2+5 z^2 a^{-2} -17 z^2-2 a^4+6 a^2+2 a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+2 a z^{11}+z^{11} a^{-1} +3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+4 a^5 z^9-a^3 z^9-8 a z^9+3 z^9 a^{-3} +3 a^6 z^8-15 a^4 z^8-42 a^2 z^8-15 z^8 a^{-2} +z^8 a^{-4} -40 z^8+a^7 z^7-19 a^5 z^7-24 a^3 z^7-15 a z^7-27 z^7 a^{-1} -16 z^7 a^{-3} -13 a^6 z^6+17 a^4 z^6+82 a^2 z^6+17 z^6 a^{-2} -5 z^6 a^{-4} +74 z^6-4 a^7 z^5+22 a^5 z^5+55 a^3 z^5+60 a z^5+55 z^5 a^{-1} +24 z^5 a^{-3} +12 a^6 z^4-11 a^4 z^4-68 a^2 z^4-7 z^4 a^{-2} +7 z^4 a^{-4} -59 z^4+3 a^7 z^3-13 a^5 z^3-43 a^3 z^3-50 a z^3-37 z^3 a^{-1} -14 z^3 a^{-3} -3 a^6 z^2+6 a^4 z^2+29 a^2 z^2+4 z^2 a^{-2} -3 z^2 a^{-4} +27 z^2+4 a^5 z+11 a^3 z+13 a z+9 z a^{-1} +3 z a^{-3} -2 a^4-6 a^2-2 a^{-2} -5 }[/math] |
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