K13n3946
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Polynomial invariants
| Jones polynomial | Data:K13n3946/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-9 t^2+9 t-9+9 t^{-1} -9 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3946/Conway Polynomial |
| Determinant | 71 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^8 a^8-7 z^6 a^8-17 z^4 a^8-19 z^2 a^8-9 a^8+z^{10} a^6+8 z^8 a^6+24 z^6 a^6+36 z^4 a^6+29 z^2 a^6+10 a^6-z^8 a^4-6 z^6 a^4-11 z^4 a^4-7 z^2 a^4-2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^2 a^{14}+3 z^3 a^{13}-z a^{13}+z^6 a^{12}+z^2 a^{12}+2 z^7 a^{11}-3 z^5 a^{11}-z a^{11}+3 z^8 a^{10}-6 z^6 a^{10}-5 z^4 a^{10}+6 z^2 a^{10}-2 a^{10}+6 z^9 a^9-28 z^7 a^9+44 z^5 a^9-38 z^3 a^9+12 z a^9+6 z^{10} a^8-32 z^8 a^8+60 z^6 a^8-63 z^4 a^8+37 z^2 a^8-9 a^8+2 z^{11} a^7-2 z^9 a^7-32 z^7 a^7+80 z^5 a^7-66 z^3 a^7+20 z a^7+9 z^{10} a^6-54 z^8 a^6+107 z^6 a^6-92 z^4 a^6+43 z^2 a^6-10 a^6+2 z^{11} a^5-7 z^9 a^5-8 z^7 a^5+45 z^5 a^5-41 z^3 a^5+11 z a^5+3 z^{10} a^4-19 z^8 a^4+40 z^6 a^4-34 z^4 a^4+12 z^2 a^4-2 a^4+z^9 a^3-6 z^7 a^3+12 z^5 a^3-10 z^3 a^3+3 z a^3 }[/math] |
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