K13n3012
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Polynomial invariants
| Jones polynomial | Data:K13n3012/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-13 t^2+16 t-17+16 t^{-1} -13 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3012/Conway Polynomial |
| Determinant | 91 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-4 z^2 a^{12}-3 a^{12}+2 z^6 a^{10}+9 z^4 a^{10}+11 z^2 a^{10}+4 a^{10}-z^8 a^8-5 z^6 a^8-8 z^4 a^8-6 z^2 a^8-2 a^8+2 z^6 a^6+9 z^4 a^6+10 z^2 a^6+2 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-3 z^3 a^{17}+2 z a^{17}+2 z^6 a^{16}-4 z^4 a^{16}+z^2 a^{16}+3 z^7 a^{15}-6 z^5 a^{15}+4 z^3 a^{15}-2 z a^{15}+3 z^8 a^{14}-5 z^6 a^{14}+4 z^4 a^{14}-2 z^2 a^{14}+3 z^9 a^{13}-7 z^7 a^{13}+10 z^5 a^{13}-5 z^3 a^{13}+z a^{13}+3 z^{10} a^{12}-12 z^8 a^{12}+28 z^6 a^{12}-31 z^4 a^{12}+19 z^2 a^{12}-3 a^{12}+z^{11} a^{11}+z^9 a^{11}-14 z^7 a^{11}+32 z^5 a^{11}-23 z^3 a^{11}+5 z a^{11}+5 z^{10} a^{10}-23 z^8 a^{10}+46 z^6 a^{10}-46 z^4 a^{10}+22 z^2 a^{10}-4 a^{10}+z^{11} a^9-z^9 a^9-5 z^7 a^9+9 z^5 a^9-6 z^3 a^9+2 z^{10} a^8-8 z^8 a^8+14 z^6 a^8-19 z^4 a^8+11 z^2 a^8-2 a^8+z^9 a^7-z^7 a^7-6 z^5 a^7+5 z^3 a^7+3 z^6 a^6-12 z^4 a^6+11 z^2 a^6-2 a^6 }[/math] |
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