K12n265
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^4+5 q^3-7 q^2+10 q-10+10 q^{-1} -9 q^{-2} +6 q^{-3} -3 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+14 t-15+14 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+4 z^4+1 }[/math] |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6-3 a^2 z^4-2 z^4 a^{-2} +9 z^4+a^4 z^2-9 a^2 z^2-5 z^2 a^{-2} +13 z^2+2 a^4-6 a^2-2 a^{-2} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+10 a z^9+7 z^9 a^{-1} +a^4 z^8-3 a^2 z^8+8 z^8 a^{-2} +4 z^8-15 a^3 z^7-47 a z^7-29 z^7 a^{-1} +3 z^7 a^{-3} -5 a^4 z^6-20 a^2 z^6-37 z^6 a^{-2} -52 z^6+24 a^3 z^5+63 a z^5+28 z^5 a^{-1} -11 z^5 a^{-3} +9 a^4 z^4+46 a^2 z^4+49 z^4 a^{-2} +z^4 a^{-4} +85 z^4-15 a^3 z^3-30 a z^3-6 z^3 a^{-1} +9 z^3 a^{-3} -7 a^4 z^2-31 a^2 z^2-23 z^2 a^{-2} -2 z^2 a^{-4} -45 z^2+3 a^3 z+5 a z+z a^{-1} -z a^{-3} +2 a^4+6 a^2+2 a^{-2} +7 }[/math] |
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