K13a1520
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Polynomial invariants
| Jones polynomial | Data:K13a1520/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+13 t^3-29 t^2+39 t-41+39 t^{-1} -29 t^{-2} +13 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1520/Conway Polynomial |
| Determinant | 207 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-3 z^2 a^{12}-a^{12}+2 z^6 a^{10}+7 z^4 a^{10}+5 z^2 a^{10}+a^{10}-z^8 a^8-3 z^6 a^8-z^4 a^8-z^2 a^8-2 a^8-z^8 a^6-3 z^6 a^6+z^4 a^6+6 z^2 a^6+3 a^6+z^6 a^4+3 z^4 a^4+z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-2 z^3 a^{17}+z a^{17}+3 z^6 a^{16}-5 z^4 a^{16}+2 z^2 a^{16}+5 z^7 a^{15}-6 z^5 a^{15}+z^3 a^{15}+7 z^8 a^{14}-10 z^6 a^{14}+7 z^4 a^{14}-3 z^2 a^{14}+8 z^9 a^{13}-14 z^7 a^{13}+13 z^5 a^{13}-5 z^3 a^{13}+z a^{13}+7 z^{10} a^{12}-11 z^8 a^{12}+4 z^6 a^{12}+3 z^4 a^{12}+2 z^2 a^{12}-a^{12}+5 z^{11} a^{11}-7 z^9 a^{11}+4 z^3 a^{11}-z a^{11}+2 z^{12} a^{10}+5 z^{10} a^{10}-30 z^8 a^{10}+42 z^6 a^{10}-30 z^4 a^{10}+9 z^2 a^{10}-a^{10}+11 z^{11} a^9-41 z^9 a^9+58 z^7 a^9-48 z^5 a^9+18 z^3 a^9-2 z a^9+2 z^{12} a^8+5 z^{10} a^8-44 z^8 a^8+71 z^6 a^8-48 z^4 a^8+12 z^2 a^8-2 a^8+6 z^{11} a^7-22 z^9 a^7+22 z^7 a^7-9 z^5 a^7+2 z^3 a^7+z a^7+7 z^{10} a^6-31 z^8 a^6+42 z^6 a^6-23 z^4 a^6+9 z^2 a^6-3 a^6+4 z^9 a^5-17 z^7 a^5+19 z^5 a^5-4 z^3 a^5+z^8 a^4-4 z^6 a^4+4 z^4 a^4-z^2 a^4 }[/math] |
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