K13n2917
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Polynomial invariants
| Jones polynomial | Data:K13n2917/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+3 t^3+3 t^2-11 t+15-11 t^{-1} +3 t^{-2} +3 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2917/Conway Polynomial |
| Determinant | 29 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{10}+5 z^2 a^{10}+3 a^{10}-z^8 a^8-9 z^6 a^8-25 z^4 a^8-28 z^2 a^8-11 a^8+z^{10} a^6+9 z^8 a^6+30 z^6 a^6+49 z^4 a^6+39 z^2 a^6+11 a^6-z^8 a^4-7 z^6 a^4-15 z^4 a^4-11 z^2 a^4-2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-10 z^5 a^{13}+8 z^3 a^{13}-2 z a^{13}+3 z^8 a^{12}-8 z^6 a^{12}+2 z^4 a^{12}+z^2 a^{12}+z^9 a^{11}+2 z^7 a^{11}-14 z^5 a^{11}+11 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-7 z^6 a^{10}+5 z^2 a^{10}-3 a^{10}+z^9 a^9-6 z^7 a^9+16 z^5 a^9-19 z^3 a^9+9 z a^9+2 z^{10} a^8-18 z^8 a^8+52 z^6 a^8-64 z^4 a^8+41 z^2 a^8-11 a^8+z^{11} a^7-6 z^9 a^7+z^7 a^7+30 z^5 a^7-37 z^3 a^7+13 z a^7+4 z^{10} a^6-33 z^8 a^6+87 z^6 a^6-98 z^4 a^6+53 z^2 a^6-11 a^6+z^{11} a^5-5 z^9 a^5-z^7 a^5+25 z^5 a^5-26 z^3 a^5+6 z a^5+2 z^{10} a^4-15 z^8 a^4+37 z^6 a^4-39 z^4 a^4+18 z^2 a^4-2 a^4+z^9 a^3-7 z^7 a^3+15 z^5 a^3-11 z^3 a^3+2 z a^3 }[/math] |
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