K13a4113
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Polynomial invariants
| Jones polynomial | Data:K13a4113/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^3+35 t^2-78 t+99-78 t^{-1} +35 t^{-2} -6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4113/Conway Polynomial |
| Determinant | 337 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+3 z^4 a^{10}+4 z^2 a^{10}+a^{10}-2 z^6 a^8-2 z^4 a^8-z^2 a^8-2 a^8-3 z^6 a^6-4 z^4 a^6+2 z^2 a^6+3 a^6-z^6 a^4+z^4 a^4+3 z^2 a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-11 z^6 a^{14}+9 z^4 a^{14}-2 z^2 a^{14}+8 z^9 a^{13}-20 z^7 a^{13}+15 z^5 a^{13}-5 z^3 a^{13}+2 z a^{13}+10 z^{10} a^{12}-20 z^8 a^{12}+9 z^6 a^{12}-2 z^4 a^{12}+3 z^2 a^{12}-a^{12}+8 z^{11} a^{11}-7 z^9 a^{11}-11 z^7 a^{11}+10 z^5 a^{11}-z^3 a^{11}-2 z a^{11}+3 z^{12} a^{10}+15 z^{10} a^{10}-48 z^8 a^{10}+52 z^6 a^{10}-35 z^4 a^{10}+11 z^2 a^{10}-a^{10}+18 z^{11} a^9-36 z^9 a^9+35 z^7 a^9-32 z^5 a^9+20 z^3 a^9-6 z a^9+3 z^{12} a^8+20 z^{10} a^8-61 z^8 a^8+78 z^6 a^8-59 z^4 a^8+23 z^2 a^8-2 a^8+10 z^{11} a^7-7 z^9 a^7-6 z^7 a^7+6 z^5 a^7+z^3 a^7-z a^7+15 z^{10} a^6-28 z^8 a^6+29 z^6 a^6-23 z^4 a^6+13 z^2 a^6-3 a^6+14 z^9 a^5-27 z^7 a^5+23 z^5 a^5-9 z^3 a^5+9 z^8 a^4-16 z^6 a^4+10 z^4 a^4-3 z^2 a^4+4 z^7 a^3-7 z^5 a^3+3 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math] |
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