K13n3426
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Polynomial invariants
| Jones polynomial | Data:K13n3426/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+23 t^2-57 t+75-57 t^{-1} +23 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3426/Conway Polynomial |
| Determinant | 241 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-z^2 a^{10}-3 a^{10}-z^6 a^8+3 z^4 a^8+8 z^2 a^8+4 a^8-2 z^6 a^6-3 z^4 a^6-2 z^2 a^6-a^6+3 z^4 a^4+4 z^2 a^4+a^4 }[/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}+10 z^4 a^{14}-3 z^2 a^{14}+8 z^9 a^{13}-21 z^7 a^{13}+19 z^5 a^{13}-9 z^3 a^{13}+3 z a^{13}+8 z^{10} a^{12}-11 z^8 a^{12}-9 z^6 a^{12}+14 z^4 a^{12}-3 z^2 a^{12}+3 z^{11} a^{11}+18 z^9 a^{11}-63 z^7 a^{11}+55 z^5 a^{11}-19 z^3 a^{11}+2 z a^{11}+19 z^{10} a^{10}-28 z^8 a^{10}-15 z^6 a^{10}+30 z^4 a^{10}-15 z^2 a^{10}+3 a^{10}+3 z^{11} a^9+26 z^9 a^9-70 z^7 a^9+49 z^5 a^9-12 z^3 a^9+11 z^{10} a^8-2 z^8 a^8-27 z^6 a^8+29 z^4 a^8-15 z^2 a^8+4 a^8+16 z^9 a^7-26 z^7 a^7+25 z^5 a^7-14 z^3 a^7+3 z a^7+11 z^8 a^6-10 z^6 a^6+9 z^4 a^6-5 z^2 a^6+a^6+3 z^7 a^5+9 z^5 a^5-9 z^3 a^5+z a^5+6 z^4 a^4-5 z^2 a^4+a^4 }[/math] |
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