K13n4248
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Polynomial invariants
| Jones polynomial | Data:K13n4248/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-20 t^2+33 t-39+33 t^{-1} -20 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4248/Conway Polynomial |
| Determinant | 163 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-2 z^2 a^{12}-a^{12}+2 z^6 a^{10}+6 z^4 a^{10}+4 z^2 a^{10}-z^8 a^8-4 z^6 a^8-5 z^4 a^8-2 z^2 a^8+2 z^6 a^6+8 z^4 a^6+9 z^2 a^6+2 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-z^3 a^{17}+4 z^6 a^{16}-4 z^4 a^{16}+9 z^7 a^{15}-14 z^5 a^{15}+8 z^3 a^{15}-3 z a^{15}+12 z^8 a^{14}-21 z^6 a^{14}+15 z^4 a^{14}-5 z^2 a^{14}+10 z^9 a^{13}-13 z^7 a^{13}+4 z^5 a^{13}+z a^{13}+5 z^{10} a^{12}+4 z^8 a^{12}-22 z^6 a^{12}+17 z^4 a^{12}-a^{12}+z^{11} a^{11}+14 z^9 a^{11}-38 z^7 a^{11}+38 z^5 a^{11}-17 z^3 a^{11}+3 z a^{11}+7 z^{10} a^{10}-10 z^8 a^{10}-z^6 a^{10}+6 z^4 a^{10}-3 z^2 a^{10}+z^{11} a^9+5 z^9 a^9-15 z^7 a^9+12 z^5 a^9-5 z^3 a^9+2 z^{10} a^8-2 z^8 a^8-z^6 a^8-2 z^4 a^8+z^2 a^8+z^9 a^7+z^7 a^7-7 z^5 a^7+3 z^3 a^7+z a^7+3 z^6 a^6-10 z^4 a^6+9 z^2 a^6-2 a^6 }[/math] |
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