Data:Braiding/D 4/1,0,0,0/3: Difference between revisions

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{{8 + q^(-12) + 2/q^10 + 3/q^8 + 5/q^6 + 6/q^4 + 7/q^2 + 7*q^2 + 6*q^4 + 5*q^6 + 3*q^8 + 2*q^10 + q^12, {{{{-q^(-8)}}, {{-q^(-8)}}}, {{{-q^8}}, {{-q^8}}}}}, {2 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{{{-((-1 + q^2 + q^6 - q^8)/q^14), -((1 - q^2)/q^13), q^(-8)}, {-((1 + q^4 - q^6 - q^10)/q^13), q^(-12), 0}, {q^(-8), 0, 0}}, {{q^(-6), -q^(-5), 1}, {0, -q^(-8), -((-1 - q^4)/q^7)}, {0, 0, q^(-14)}}}, {{{0, 0, q^8}, {0, q^12, q^7 + q^11 - q^13 - q^17}, {q^8, q^7 - q^9, q^6 - q^8 - q^12 + q^14}}, {{q^6, -q^9, q^16}, {0, -q^8, q^15 + q^19}, {0, 0, q^14}}}}}, {18 + q^(-16) + 2/q^14 + 4/q^12 + 7/q^10 + 10/q^8 + 13/q^6 + 16/q^4 + 18/q^2 + 18*q^2 + 16*q^4 + 13*q^6 + 10*q^8 + 7*q^10 + 4*q^12 + 2*q^14 + q^16, {{{{-((1 - q^2)/q^8), q^(-7)}, {q^(-7), 0}}, {{q^(-6), -q^(-5)}, {0, -q^(-8)}}}, {{{0, q^7}, {q^7, q^6 - q^8}}, {{q^6, -q^9}, {0, -q^8}}}}}, {12 + q^(-18) + q^(-16) + 2/q^14 + 4/q^12 + 5/q^10 + 7/q^8 + 9/q^6 + 10/q^4 + 11/q^2 + 11*q^2 + 10*q^4 + 9*q^6 + 7*q^8 + 5*q^10 + 4*q^12 + 2*q^14 + q^16 + q^18, {{{{q^(-6)}}, {{q^(-6)}}}, {{{q^6}}, {{q^6}}}}}}
<math>\left(
\begin{array}{ll}
q^{12}+2 q^{10}+3 q^8+5 q^6+6 q^4+7 q^2+8+\frac{7}{q^2}+\frac{6}{q^4}+\frac{5}{q^6}+\frac{3}{q^8}+\frac{2}{q^{10}}+\frac{1}{q^{12}} & \left(
\begin{array}{ll}
\left(
\begin{array}{l}
-\frac{1}{q^8}
\end{array}
\right) & \left(
\begin{array}{l}
-\frac{1}{q^8}
\end{array}
\right) \\
\left(
\begin{array}{l}
-q^8
\end{array}
\right) & \left(
\begin{array}{l}
-q^8
\end{array}
\right)
\end{array}
\right) \\
q^6+q^4+q^2+2+\frac{1}{q^2}+\frac{1}{q^4}+\frac{1}{q^6} & \left(
\begin{array}{ll}
\left(
\begin{array}{lll}
-\frac{-q^8+q^6+q^2-1}{q^{14}} & -\frac{1-q^2}{q^{13}} & \frac{1}{q^8} \\
-\frac{-q^{10}-q^6+q^4+1}{q^{13}} & \frac{1}{q^{12}} & 0 \\
\frac{1}{q^8} & 0 & 0
\end{array}
\right) & \left(
\begin{array}{lll}
\frac{1}{q^6} & -\frac{1}{q^5} & 1 \\
0 & -\frac{1}{q^8} & -\frac{-q^4-1}{q^7} \\
0 & 0 & \frac{1}{q^{14}}
\end{array}
\right) \\
\left(
\begin{array}{lll}
0 & 0 & q^8 \\
0 & q^{12} & -q^{17}-q^{13}+q^{11}+q^7 \\
q^8 & q^7-q^9 & q^{14}-q^{12}-q^8+q^6
\end{array}
\right) & \left(
\begin{array}{lll}
q^6 & -q^9 & q^{16} \\
0 & -q^8 & q^{19}+q^{15} \\
0 & 0 & q^{14}
\end{array}
\right)
\end{array}
\right) \\
q^{16}+2 q^{14}+4 q^{12}+7 q^{10}+10 q^8+13 q^6+16 q^4+18 q^2+18+\frac{18}{q^2}+\frac{16}{q^4}+\frac{13}{q^6}+\frac{10}{q^8}+\frac{7}{q^{10}}+\frac{4}{q^{12}}+\frac{2}{q^{14}}+\frac{1}{q^{16}} & \left(
\begin{array}{ll}
\left(
\begin{array}{ll}
-\frac{1-q^2}{q^8} & \frac{1}{q^7} \\
\frac{1}{q^7} & 0
\end{array}
\right) & \left(
\begin{array}{ll}
\frac{1}{q^6} & -\frac{1}{q^5} \\
0 & -\frac{1}{q^8}
\end{array}
\right) \\
\left(
\begin{array}{ll}
0 & q^7 \\
q^7 & q^6-q^8
\end{array}
\right) & \left(
\begin{array}{ll}
q^6 & -q^9 \\
0 & -q^8
\end{array}
\right)
\end{array}
\right) \\
q^{18}+q^{16}+2 q^{14}+4 q^{12}+5 q^{10}+7 q^8+9 q^6+10 q^4+11 q^2+12+\frac{11}{q^2}+\frac{10}{q^4}+\frac{9}{q^6}+\frac{7}{q^8}+\frac{5}{q^{10}}+\frac{4}{q^{12}}+\frac{2}{q^{14}}+\frac{1}{q^{16}}+\frac{1}{q^{18}} & \left(
\begin{array}{ll}
\left(
\begin{array}{l}
\frac{1}{q^6}
\end{array}
\right) & \left(
\begin{array}{l}
\frac{1}{q^6}
\end{array}
\right) \\
\left(
\begin{array}{l}
q^6
\end{array}
\right) & \left(
\begin{array}{l}
q^6
\end{array}
\right)
\end{array}
\right)
\end{array}
\right)</math>

Latest revision as of 15:03, 6 June 2006

{{8 + q^(-12) + 2/q^10 + 3/q^8 + 5/q^6 + 6/q^4 + 7/q^2 + 7*q^2 + 6*q^4 + 5*q^6 + 3*q^8 + 2*q^10 + q^12, {{Template:-q^(-8), Template:-q^(-8)}, {Template:-q^8, Template:-q^8}}}, {2 + q^(-6) + q^(-4) + q^(-2) + q^2 + q^4 + q^6, {{{{-((-1 + q^2 + q^6 - q^8)/q^14), -((1 - q^2)/q^13), q^(-8)}, {-((1 + q^4 - q^6 - q^10)/q^13), q^(-12), 0}, {q^(-8), 0, 0}}, {{q^(-6), -q^(-5), 1}, {0, -q^(-8), -((-1 - q^4)/q^7)}, {0, 0, q^(-14)}}}, {{{0, 0, q^8}, {0, q^12, q^7 + q^11 - q^13 - q^17}, {q^8, q^7 - q^9, q^6 - q^8 - q^12 + q^14}}, {{q^6, -q^9, q^16}, {0, -q^8, q^15 + q^19}, {0, 0, q^14}}}}}, {18 + q^(-16) + 2/q^14 + 4/q^12 + 7/q^10 + 10/q^8 + 13/q^6 + 16/q^4 + 18/q^2 + 18*q^2 + 16*q^4 + 13*q^6 + 10*q^8 + 7*q^10 + 4*q^12 + 2*q^14 + q^16, {{{{-((1 - q^2)/q^8), q^(-7)}, {q^(-7), 0}}, {{q^(-6), -q^(-5)}, {0, -q^(-8)}}}, {{{0, q^7}, {q^7, q^6 - q^8}}, {{q^6, -q^9}, {0, -q^8}}}}}, {12 + q^(-18) + q^(-16) + 2/q^14 + 4/q^12 + 5/q^10 + 7/q^8 + 9/q^6 + 10/q^4 + 11/q^2 + 11*q^2 + 10*q^4 + 9*q^6 + 7*q^8 + 5*q^10 + 4*q^12 + 2*q^14 + q^16 + q^18, {{Template:Q^(-6), Template:Q^(-6)}, {Template:Q^6, Template:Q^6}}}}