K13n3148
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Polynomial invariants
| Jones polynomial | Data:K13n3148/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+42 t-55+42 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3148/Conway Polynomial |
| Determinant | 179 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +6 z^4 a^{-2} -z^4 a^{-4} -2 z^4 a^{-6} -2 z^4+9 z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} -3 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +12 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^9 a^{-1} +7 z^9 a^{-3} +13 z^9 a^{-5} +10 z^9 a^{-7} -12 z^8 a^{-2} -31 z^8 a^{-4} -10 z^8 a^{-6} +8 z^8 a^{-8} +z^8-6 z^7 a^{-1} -27 z^7 a^{-3} -51 z^7 a^{-5} -26 z^7 a^{-7} +4 z^7 a^{-9} +31 z^6 a^{-2} +42 z^6 a^{-4} -4 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5+12 z^5 a^{-1} +48 z^5 a^{-3} +73 z^5 a^{-5} +25 z^5 a^{-7} -9 z^5 a^{-9} -44 z^4 a^{-2} -31 z^4 a^{-4} +14 z^4 a^{-6} +14 z^4 a^{-8} -2 z^4 a^{-10} -15 z^4-5 a z^3-19 z^3 a^{-1} -42 z^3 a^{-3} -43 z^3 a^{-5} -12 z^3 a^{-7} +3 z^3 a^{-9} +23 z^2 a^{-2} +15 z^2 a^{-4} -3 z^2 a^{-6} -4 z^2 a^{-8} +9 z^2+2 a z+7 z a^{-1} +12 z a^{-3} +10 z a^{-5} +3 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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