K13n3532
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Polynomial invariants
| Jones polynomial | Data:K13n3532/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-15 t^2+23 t-27+23 t^{-1} -15 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3532/Conway Polynomial |
| Determinant | 119 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{10}-6 z^2 a^{10}-4 a^{10}+3 z^6 a^8+13 z^4 a^8+16 z^2 a^8+5 a^8-z^8 a^6-5 z^6 a^6-8 z^4 a^6-4 z^2 a^6+z^6 a^4+4 z^4 a^4+4 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^3 a^{15}-2 z a^{15}+z^6 a^{14}+4 z^4 a^{14}-z^2 a^{14}+3 z^7 a^{13}+2 z^5 a^{13}-3 z^3 a^{13}+3 z a^{13}+5 z^8 a^{12}-4 z^6 a^{12}+z^2 a^{12}+5 z^9 a^{11}-5 z^7 a^{11}-2 z^5 a^{11}-2 z^3 a^{11}+z a^{11}+3 z^{10} a^{10}+2 z^8 a^{10}-20 z^6 a^{10}+20 z^4 a^{10}-16 z^2 a^{10}+4 a^{10}+z^{11} a^9+6 z^9 a^9-19 z^7 a^9+2 z^5 a^9+10 z^3 a^9-5 z a^9+6 z^{10} a^8-15 z^8 a^8-z^6 a^8+17 z^4 a^8-13 z^2 a^8+5 a^8+z^{11} a^7+4 z^9 a^7-26 z^7 a^7+30 z^5 a^7-6 z^3 a^7-z a^7+3 z^{10} a^6-11 z^8 a^6+9 z^6 a^6+z^4 a^6+z^2 a^6+3 z^9 a^5-15 z^7 a^5+24 z^5 a^5-12 z^3 a^5+z^8 a^4-5 z^6 a^4+8 z^4 a^4-4 z^2 a^4 }[/math] |
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