K13n2210
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Polynomial invariants
| Jones polynomial | Data:K13n2210/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-9 t^2+12 t-11+12 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2210/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+4 z^4 a^{-2} -13 z^4+5 a^2 z^2+4 z^2 a^{-2} -13 z^2+3 a^2+ a^{-2} + a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9-5 a z^9-5 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-21 z^8 a^{-2} +z^8 a^{-4} -43 z^8-15 a^3 z^7-11 a z^7-13 z^7 a^{-1} -17 z^7 a^{-3} -5 a^4 z^6+29 a^2 z^6+31 z^6 a^{-2} -6 z^6 a^{-4} +71 z^6+21 a^3 z^5+26 a z^5+34 z^5 a^{-1} +29 z^5 a^{-3} +7 a^4 z^4-20 a^2 z^4-17 z^4 a^{-2} +10 z^4 a^{-4} -54 z^4-10 a^3 z^3-13 a z^3-23 z^3 a^{-1} -21 z^3 a^{-3} -z^3 a^{-5} -3 a^4 z^2+10 a^2 z^2+3 z^2 a^{-2} -7 z^2 a^{-4} +23 z^2+a^3 z+2 a z+6 z a^{-1} +6 z a^{-3} +z a^{-5} -3 a^2- a^{-2} + a^{-4} -4 }[/math] |
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