K13n3935
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Polynomial invariants
| Jones polynomial | Data:K13n3935/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+22 t-27+22 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3935/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^2 z^8+a^6 z^6-6 a^4 z^6+8 a^2 z^6-z^6+3 a^6 z^4-15 a^4 z^4+19 a^2 z^4-5 z^4+4 a^6 z^2-16 a^4 z^2+18 a^2 z^2-6 z^2+2 a^6-6 a^4+6 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+2 a^3 z^{11}+a z^{11}+5 a^6 z^{10}+7 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+9 a^7 z^9+7 a^5 z^9-10 a^3 z^9-7 a z^9+z^9 a^{-1} +8 a^8 z^8-11 a^6 z^8-38 a^4 z^8-35 a^2 z^8-16 z^8+4 a^9 z^7-28 a^7 z^7-41 a^5 z^7+5 a^3 z^7+7 a z^7-7 z^7 a^{-1} +a^{10} z^6-22 a^8 z^6+78 a^4 z^6+94 a^2 z^6+39 z^6-9 a^9 z^5+27 a^7 z^5+71 a^5 z^5+37 a^3 z^5+16 a z^5+14 z^5 a^{-1} -2 a^{10} z^4+14 a^8 z^4+8 a^6 z^4-63 a^4 z^4-94 a^2 z^4-39 z^4+2 a^9 z^3-16 a^7 z^3-44 a^5 z^3-40 a^3 z^3-24 a z^3-10 z^3 a^{-1} -5 a^8 z^2+28 a^4 z^2+38 a^2 z^2+15 z^2+4 a^7 z+10 a^5 z+10 a^3 z+6 a z+2 z a^{-1} -2 a^6-6 a^4-6 a^2-1 }[/math] |
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