K13n213
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Polynomial invariants
| Jones polynomial | Data:K13n213/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-16 t^2+48 t-67+48 t^{-1} -16 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n213/Conway Polynomial |
| Determinant | 199 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+4 z^2 a^8+3 a^8-5 z^4 a^6-8 z^2 a^6-5 a^6+2 z^6 a^4+5 z^4 a^4+9 z^2 a^4+5 a^4-4 z^4 a^2-5 z^2 a^2-2 a^2+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-12 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}+a^{10}+7 z^9 a^9-18 z^7 a^9+12 z^5 a^9-3 z^3 a^9+z a^9+6 z^{10} a^8-4 z^8 a^8-26 z^6 a^8+34 z^4 a^8-17 z^2 a^8+3 a^8+2 z^{11} a^7+17 z^9 a^7-62 z^7 a^7+61 z^5 a^7-29 z^3 a^7+5 z a^7+14 z^{10} a^6-21 z^8 a^6-21 z^6 a^6+46 z^4 a^6-27 z^2 a^6+5 a^6+2 z^{11} a^5+21 z^9 a^5-72 z^7 a^5+83 z^5 a^5-41 z^3 a^5+7 z a^5+8 z^{10} a^4-7 z^8 a^4-15 z^6 a^4+36 z^4 a^4-22 z^2 a^4+5 a^4+11 z^9 a^3-28 z^7 a^3+44 z^5 a^3-27 z^3 a^3+6 z a^3+6 z^8 a^2-8 z^6 a^2+15 z^4 a^2-11 z^2 a^2+2 a^2+z^7 a+7 z^5 a-9 z^3 a+2 z a+3 z^4-4 z^2+1 }[/math] |
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