K13n2423
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Polynomial invariants
| Jones polynomial | Data:K13n2423/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-29 t+35-29 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2423/Conway Polynomial |
| Determinant | 125 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+2 z^4 a^{10}+4 z^2 a^{10}+2 a^{10}-z^6 a^8-z^4 a^8+z^2 a^8-z^6 a^6-z^4 a^6+z^2 a^6+2 z^4 a^4+4 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-5 z^5 a^{15}+8 z^3 a^{15}-4 z a^{15}+2 z^8 a^{14}-7 z^6 a^{14}+6 z^4 a^{14}+3 z^9 a^{13}-9 z^7 a^{13}+7 z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^{10} a^{12}-9 z^8 a^{12}+16 z^6 a^{12}-27 z^4 a^{12}+17 z^2 a^{12}-2 a^{12}+z^{11} a^{11}+4 z^9 a^{11}-18 z^7 a^{11}+25 z^5 a^{11}-23 z^3 a^{11}+6 z a^{11}+6 z^{10} a^{10}-17 z^8 a^{10}+28 z^6 a^{10}-33 z^4 a^{10}+14 z^2 a^{10}-2 a^{10}+z^{11} a^9+5 z^9 a^9-16 z^7 a^9+21 z^5 a^9-14 z^3 a^9+3 z a^9+3 z^{10} a^8-3 z^8 a^8+2 z^6 a^8+z^4 a^8+z^2 a^8+4 z^9 a^7-7 z^7 a^7+11 z^5 a^7-6 z^3 a^7+3 z a^7+3 z^8 a^6-3 z^6 a^6+4 z^4 a^6-z^2 a^6+z^7 a^5+3 z^5 a^5-5 z^3 a^5+z a^5+3 z^4 a^4-5 z^2 a^4+a^4 }[/math] |
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