K13n4010
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Polynomial invariants
| Jones polynomial | Data:K13n4010/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+5 t-5+5 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n4010/Conway Polynomial |
| Determinant | 23 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +5 z^4 a^{-2} -z^4 a^{-4} -z^4+8 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-6 z^9 a^{-1} -5 z^9 a^{-3} +z^9 a^{-5} -20 z^8 a^{-2} -14 z^8 a^{-4} -6 z^8+a z^7+11 z^7 a^{-1} +3 z^7 a^{-3} -7 z^7 a^{-5} +43 z^6 a^{-2} +32 z^6 a^{-4} +11 z^6-6 a z^5-10 z^5 a^{-1} +12 z^5 a^{-3} +16 z^5 a^{-5} -a^2 z^4-39 z^4 a^{-2} -28 z^4 a^{-4} -12 z^4+6 a z^3+5 z^3 a^{-1} -14 z^3 a^{-3} -13 z^3 a^{-5} +18 z^2 a^{-2} +10 z^2 a^{-4} +8 z^2-a^3 z-2 a z+4 z a^{-3} +3 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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