Toom-Cookの定数例(2)

Toom-2.0 ["1/0", "-1/1", "0/1"] : 2*2

{\begin{bmatrix}C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 2*2

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0\\-1&1\\0&1\end{bmatrix}\begin{bmatrix}A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

Toom-2.5 ["1/0", "1/1", "-1/1", "0/1"] : 3*2

{\begin{bmatrix}C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0\\0&\frac{1}{2}&\frac{1}{2}&-1\\-1&\frac{1}{2}&\frac{-1}{2}&0\\0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 3*2

{\begin{bmatrix}A(1,0)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0\\1&1\\-1&1\\0&1\end{bmatrix}\begin{bmatrix}B_{1}\\B_{0}\end{bmatrix}}

Toom-3.0 ["1/0", "-2/1", "1/1", "-1/1", "0/1"] : 3*3, 4*2

{\begin{bmatrix}C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\2&\frac{-1}{6}&\frac{1}{6}&\frac{3}{6}&\frac{-3}{6}\\-1&0&\frac{1}{2}&\frac{1}{2}&-1\\-2&\frac{1}{6}&\frac{2}{6}&-1&\frac{3}{6}\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 3*3

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-2,1)&B(-2,1)\\A(1,1)&B(1,1)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\4&-2&1\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}A_{2}&B_{2}\\A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

split 4*2

{\begin{bmatrix}A(1,0)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0\\-2&1\\1&1\\-1&1\\0&1\end{bmatrix}\begin{bmatrix}B_{1}\\B_{0}\end{bmatrix}}

Toom-3.5 ["1/0", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 4*3, 5*2

{\begin{bmatrix}C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\0&\frac{1}{24}&\frac{1}{24}&\frac{-4}{24}&\frac{-4}{24}&\frac{6}{24}\\-5&\frac{1}{12}&\frac{-1}{12}&\frac{-2}{12}&\frac{2}{12}&0\\0&\frac{-1}{24}&\frac{-1}{24}&\frac{16}{24}&\frac{16}{24}&\frac{-30}{24}\\4&\frac{-1}{12}&\frac{1}{12}&\frac{8}{12}&\frac{-8}{12}&0\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 4*3

{\begin{bmatrix}A(1,0)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\4&2&1\\4&-2&1\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 5*2

{\begin{bmatrix}A(1,0)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0\\2&1\\-2&1\\1&1\\-1&1\\0&1\end{bmatrix}\begin{bmatrix}B_{1}\\B_{0}\end{bmatrix}}

Toom-4.0 ["1/0", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 4*4, 5*3, 6*2

{\begin{bmatrix}C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\\frac{90}{180}&\frac{-2}{180}&\frac{3}{180}&\frac{-5}{180}&\frac{-20}{180}&\frac{60}{180}&\frac{90}{180}\\-5&0&\frac{1}{24}&\frac{1}{24}&\frac{-4}{24}&\frac{-4}{24}&\frac{6}{24}\\\frac{-45}{18}&\frac{1}{18}&0&\frac{1}{18}&\frac{7}{18}&\frac{-27}{18}&\frac{-45}{18}\\4&0&\frac{-1}{24}&\frac{-1}{24}&\frac{16}{24}&\frac{16}{24}&\frac{-30}{24}\\2&\frac{-8}{180}&\frac{-3}{180}&\frac{-5}{180}&\frac{40}{180}&\frac{120}{180}&2\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 4*4

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-1,2)&B(-1,2)\\A(2,1)&B(2,1)\\A(-2,1)&B(-2,1)\\A(1,1)&B(1,1)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\-1&2&-4&8\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}A_{3}&B_{3}\\A_{2}&B_{2}\\A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

split 5*3

{\begin{bmatrix}A(1,0)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\1&-2&4\\4&2&1\\4&-2&1\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 6*2

{\begin{bmatrix}A(1,0)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0\\-1&2\\2&1\\-2&1\\1&1\\-1&1\\0&1\end{bmatrix}\begin{bmatrix}B_{1}\\B_{0}\end{bmatrix}}

Toom-4.5 ["1/0", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 5*4, 6*3, 7*2

{\begin{bmatrix}C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\0&\frac{1}{180}&\frac{1}{180}&\frac{2}{180}&\frac{2}{180}&\frac{-40}{180}&\frac{-40}{180}&-1\\\frac{-1890}{360}&\frac{1}{360}&\frac{-1}{360}&\frac{8}{360}&\frac{-8}{360}&\frac{-80}{360}&\frac{80}{360}&0\\0&\frac{-2}{72}&\frac{-2}{72}&\frac{-1}{72}&\frac{-1}{72}&\frac{68}{72}&\frac{68}{72}&\frac{378}{72}\\\frac{378}{72}&\frac{-1}{72}&\frac{1}{72}&\frac{-2}{72}&\frac{2}{72}&\frac{68}{72}&\frac{-68}{72}&0\\0&\frac{8}{360}&\frac{8}{360}&\frac{1}{360}&\frac{1}{360}&\frac{-80}{360}&\frac{-80}{360}&\frac{-1890}{360}\\-1&\frac{2}{180}&\frac{-2}{180}&\frac{1}{180}&\frac{-1}{180}&\frac{-40}{180}&\frac{40}{180}&0\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 5*4

{\begin{bmatrix}A(1,0)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\1&2&4&8\\-1&2&-4&8\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 6*3

{\begin{bmatrix}A(1,0)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\1&2&4\\1&-2&4\\4&2&1\\4&-2&1\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 7*2

{\begin{bmatrix}A(1,0)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0\\1&2\\-1&2\\2&1\\-2&1\\1&1\\-1&1\\0&1\end{bmatrix}\begin{bmatrix}B_{1}\\B_{0}\end{bmatrix}}

Toom-5.0 ["1/0", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 5*5, 6*4, 7*3, 8*2

{\begin{bmatrix}C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0\\4&\frac{-1}{11340}&\frac{7}{11340}&\frac{9}{11340}&\frac{21}{11340}&\frac{63}{11340}&\frac{-504}{11340}&\frac{-840}{11340}&\frac{-2835}{11340}\\\frac{-1890}{360}&0&\frac{1}{360}&\frac{1}{360}&\frac{4}{360}&\frac{4}{360}&\frac{-80}{360}&\frac{-80}{360}&-1\\-21&\frac{1}{2160}&\frac{-4}{2160}&\frac{-12}{2160}&\frac{27}{2160}&\frac{-111}{2160}&\frac{24}{2160}&\frac{1320}{2160}&\frac{2835}{2160}\\\frac{378}{72}&0&\frac{-1}{72}&\frac{-1}{72}&\frac{-1}{72}&\frac{-1}{72}&\frac{68}{72}&\frac{68}{72}&\frac{378}{72}\\21&\frac{-1}{2160}&\frac{-8}{2160}&\frac{24}{2160}&\frac{-39}{2160}&\frac{123}{2160}&\frac{1536}{2160}&\frac{-2880}{2160}&\frac{-2835}{2160}\\-1&0&\frac{4}{360}&\frac{4}{360}&\frac{1}{360}&\frac{1}{360}&\frac{-80}{360}&\frac{-80}{360}&\frac{-1890}{360}\\-4&\frac{1}{11340}&\frac{56}{11340}&\frac{-72}{11340}&\frac{42}{11340}&\frac{-126}{11340}&\frac{-2016}{11340}&\frac{3360}{11340}&\frac{2835}{11340}\\0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 5*5

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-4,1)&B(-4,1)\\A(1,2)&B(1,2)\\A(-1,2)&B(-1,2)\\A(2,1)&B(2,1)\\A(-2,1)&B(-2,1)\\A(1,1)&B(1,1)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\256&-64&16&-4&1\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{4}&B_{4}\\A_{3}&B_{3}\\A_{2}&B_{2}\\A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

split 6*4

{\begin{bmatrix}A(1,0)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\-64&16&-4&1\\1&2&4&8\\-1&2&-4&8\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 7*3

{\begin{bmatrix}A(1,0)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\16&-4&1\\1&2&4\\1&-2&4\\4&2&1\\4&-2&1\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-5.5 ["1/0", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 6*5, 7*4, 8*3, 9*2

{\begin{bmatrix}C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0\\0&\frac{1}{90720}&\frac{1}{90720}&\frac{-8}{90720}&\frac{-8}{90720}&\frac{-84}{90720}&\frac{-84}{90720}&\frac{1344}{90720}&\frac{1344}{90720}&\frac{5670}{90720}\\\frac{-481950}{22680}&\frac{1}{22680}&\frac{-1}{22680}&\frac{-1}{22680}&\frac{1}{22680}&\frac{-42}{22680}&\frac{42}{22680}&\frac{336}{22680}&\frac{-336}{22680}&0\\0&\frac{-1}{17280}&\frac{-1}{17280}&\frac{32}{17280}&\frac{32}{17280}&\frac{276}{17280}&\frac{276}{17280}&\frac{-5184}{17280}&\frac{-5184}{17280}&\frac{-22950}{17280}\\\frac{385560}{4320}&\frac{-1}{4320}&\frac{1}{4320}&\frac{4}{4320}&\frac{-4}{4320}&\frac{138}{4320}&\frac{-138}{4320}&\frac{-1296}{4320}&\frac{1296}{4320}&0\\0&\frac{1}{17280}&\frac{1}{17280}&\frac{-128}{17280}&\frac{-128}{17280}&\frac{-324}{17280}&\frac{-324}{17280}&\frac{17664}{17280}&\frac{17664}{17280}&\frac{96390}{17280}\\-85&\frac{1}{4320}&\frac{-1}{4320}&\frac{-16}{4320}&\frac{16}{4320}&\frac{-162}{4320}&\frac{162}{4320}&\frac{4416}{4320}&\frac{-4416}{4320}&0\\0&\frac{-1}{90720}&\frac{-1}{90720}&\frac{512}{90720}&\frac{512}{90720}&\frac{336}{90720}&\frac{336}{90720}&\frac{-21504}{90720}&\frac{-21504}{90720}&\frac{-481950}{90720}\\16&\frac{-1}{22680}&\frac{1}{22680}&\frac{64}{22680}&\frac{-64}{22680}&\frac{168}{22680}&\frac{-168}{22680}&\frac{-5376}{22680}&\frac{5376}{22680}&0\\0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 6*5

{\begin{bmatrix}A(1,0)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\256&64&16&4&1\\256&-64&16&-4&1\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 7*4

{\begin{bmatrix}A(1,0)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\64&16&4&1\\-64&16&-4&1\\1&2&4&8\\-1&2&-4&8\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 8*3

{\begin{bmatrix}A(1,0)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0\\16&4&1\\16&-4&1\\1&2&4\\1&-2&4\\4&2&1\\4&-2&1\\1&1&1\\1&-1&1\\0&0&1\end{bmatrix}\begin{bmatrix}B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-6.0 ["1/0", "-1/4", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 6*6, 7*5, 8*4, 9*3, 10*2

{\begin{bmatrix}C_{10}\\C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0\\\frac{1445850}{5783400}&\frac{-2}{5783400}&\frac{15}{5783400}&\frac{-17}{5783400}&\frac{-340}{5783400}&\frac{1020}{5783400}&\frac{-2380}{5783400}&\frac{3060}{5783400}&\frac{68544}{5783400}&\frac{-114240}{5783400}&\frac{1445850}{5783400}\\\frac{-1927800}{90720}&0&\frac{1}{90720}&\frac{1}{90720}&\frac{-4}{90720}&\frac{-4}{90720}&\frac{-84}{90720}&\frac{-84}{90720}&\frac{1344}{90720}&\frac{1344}{90720}&\frac{5670}{90720}\\\frac{-1445850}{272160}&\frac{2}{272160}&\frac{-3}{272160}&\frac{5}{272160}&\frac{334}{272160}&\frac{-1014}{272160}&\frac{1876}{272160}&\frac{-2556}{272160}&\frac{-64512}{272160}&\frac{110208}{272160}&\frac{-1445850}{272160}\\\frac{1542240}{17280}&0&\frac{-1}{17280}&\frac{-1}{17280}&\frac{16}{17280}&\frac{16}{17280}&\frac{276}{17280}&\frac{276}{17280}&\frac{-5184}{17280}&\frac{-5184}{17280}&\frac{-22950}{17280}\\\frac{722925}{32400}&\frac{-1}{32400}&0&\frac{-1}{32400}&\frac{-155}{32400}&\frac{495}{32400}&\frac{-155}{32400}&\frac{495}{32400}&\frac{24552}{32400}&\frac{-47400}{32400}&\frac{722925}{32400}\\-85&0&\frac{1}{17280}&\frac{1}{17280}&\frac{-64}{17280}&\frac{-64}{17280}&\frac{-324}{17280}&\frac{-324}{17280}&\frac{17664}{17280}&\frac{17664}{17280}&\frac{96390}{17280}\\\frac{-5783400}{272160}&\frac{8}{272160}&\frac{3}{272160}&\frac{5}{272160}&\frac{856}{272160}&\frac{-3576}{272160}&\frac{-686}{272160}&\frac{-2034}{272160}&\frac{4032}{272160}&\frac{178752}{272160}&\frac{-5783400}{272160}\\16&0&\frac{-1}{90720}&\frac{-1}{90720}&\frac{256}{90720}&\frac{256}{90720}&\frac{336}{90720}&\frac{336}{90720}&\frac{-21504}{90720}&\frac{-21504}{90720}&\frac{-481950}{90720}\\4&\frac{-32}{5783400}&\frac{-15}{5783400}&\frac{-17}{5783400}&\frac{2720}{5783400}&\frac{8160}{5783400}&\frac{4760}{5783400}&\frac{6120}{5783400}&\frac{-274176}{5783400}&\frac{-456960}{5783400}&4\\0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-1,4)\times{}B(-1,4)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 6*6

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-1,4)&B(-1,4)\\A(4,1)&B(4,1)\\A(-4,1)&B(-4,1)\\A(1,2)&B(1,2)\\A(-1,2)&B(-1,2)\\A(2,1)&B(2,1)\\A(-2,1)&B(-2,1)\\A(1,1)&B(1,1)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\-1&4&-16&64&-256&1024\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{5}&B_{5}\\A_{4}&B_{4}\\A_{3}&B_{3}\\A_{2}&B_{2}\\A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

split 7*5

{\begin{bmatrix}A(1,0)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\1&-4&16&-64&256&-1024&4096\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\1&-4&16&-64&256\\256&64&16&4&1\\256&-64&16&-4&1\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 8*4

{\begin{bmatrix}A(1,0)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\-1&4&-16&64&-256&1024&-4096&16384\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\-1&4&-16&64\\64&16&4&1\\-64&16&-4&1\\1&2&4&8\\-1&2&-4&8\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-6.5 ["1/0", "1/4", "-1/4", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 7*6, 8*5, 9*4, 10*3, 11*2

{\begin{bmatrix}C_{11}\\C_{10}\\C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0&0\\0&\frac{1}{5783400}&\frac{1}{5783400}&\frac{4}{5783400}&\frac{4}{5783400}&\frac{-680}{5783400}&\frac{-680}{5783400}&\frac{-1360}{5783400}&\frac{-1360}{5783400}&\frac{91392}{5783400}&\frac{91392}{5783400}&-1\\\frac{-493034850}{23133600}&\frac{1}{23133600}&\frac{-1}{23133600}&\frac{64}{23133600}&\frac{-64}{23133600}&\frac{-1360}{23133600}&\frac{1360}{23133600}&\frac{-10880}{23133600}&\frac{10880}{23133600}&\frac{365568}{23133600}&\frac{-365568}{23133600}&0\\0&\frac{-1}{272160}&\frac{-1}{272160}&\frac{-1}{272160}&\frac{-1}{272160}&\frac{674}{272160}&\frac{674}{272160}&\frac{1108}{272160}&\frac{1108}{272160}&\frac{-87360}{272160}&\frac{-87360}{272160}&\frac{5800410}{272160}\\\frac{98606970}{1088640}&\frac{-1}{1088640}&\frac{1}{1088640}&\frac{-16}{1088640}&\frac{16}{1088640}&\frac{1348}{1088640}&\frac{-1348}{1088640}&\frac{8864}{1088640}&\frac{-8864}{1088640}&\frac{-349440}{1088640}&\frac{349440}{1088640}&0\\0&\frac{4}{259200}&\frac{4}{259200}&\frac{1}{259200}&\frac{1}{259200}&\frac{-2600}{259200}&\frac{-2600}{259200}&\frac{-1300}{259200}&\frac{-1300}{259200}&\frac{287808}{259200}&\frac{287808}{259200}&\frac{-23477850}{259200}\\\frac{-23477850}{259200}&\frac{1}{259200}&\frac{-1}{259200}&\frac{4}{259200}&\frac{-4}{259200}&\frac{-1300}{259200}&\frac{1300}{259200}&\frac{-2600}{259200}&\frac{2600}{259200}&\frac{287808}{259200}&\frac{-287808}{259200}&0\\0&\frac{-16}{1088640}&\frac{-16}{1088640}&\frac{-1}{1088640}&\frac{-1}{1088640}&\frac{8864}{1088640}&\frac{8864}{1088640}&\frac{1348}{1088640}&\frac{1348}{1088640}&\frac{-349440}{1088640}&\frac{-349440}{1088640}&\frac{98606970}{1088640}\\\frac{5800410}{272160}&\frac{-1}{272160}&\frac{1}{272160}&\frac{-1}{272160}&\frac{1}{272160}&\frac{1108}{272160}&\frac{-1108}{272160}&\frac{674}{272160}&\frac{-674}{272160}&\frac{-87360}{272160}&\frac{87360}{272160}&0\\0&\frac{64}{23133600}&\frac{64}{23133600}&\frac{1}{23133600}&\frac{1}{23133600}&\frac{-10880}{23133600}&\frac{-10880}{23133600}&\frac{-1360}{23133600}&\frac{-1360}{23133600}&\frac{365568}{23133600}&\frac{365568}{23133600}&\frac{-493034850}{23133600}\\-1&\frac{4}{5783400}&\frac{-4}{5783400}&\frac{1}{5783400}&\frac{-1}{5783400}&\frac{-1360}{5783400}&\frac{1360}{5783400}&\frac{-680}{5783400}&\frac{680}{5783400}&\frac{91392}{5783400}&\frac{-91392}{5783400}&0\\0&0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(1,4)\times{}B(1,4)\\A(-1,4)\times{}B(-1,4)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 7*6

{\begin{bmatrix}A(1,0)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\1&4&16&64&256&1024&4096\\1&-4&16&-64&256&-1024&4096\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\1&4&16&64&256&1024\\-1&4&-16&64&-256&1024\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 8*5

{\begin{bmatrix}A(1,0)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\1&4&16&64&256&1024&4096&16384\\-1&4&-16&64&-256&1024&-4096&16384\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\1&4&16&64&256\\1&-4&16&-64&256\\256&64&16&4&1\\256&-64&16&-4&1\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 9*4

{\begin{bmatrix}A(1,0)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0\\1&4&16&64&256&1024&4096&16384&65536\\1&-4&16&-64&256&-1024&4096&-16384&65536\\65536&16384&4096&1024&256&64&16&4&1\\65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256\\1&-2&4&-8&16&-32&64&-128&256\\256&128&64&32&16&8&4&2&1\\256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0\\1&4&16&64\\-1&4&-16&64\\64&16&4&1\\-64&16&-4&1\\1&2&4&8\\-1&2&-4&8\\8&4&2&1\\-8&4&-2&1\\1&1&1&1\\-1&1&-1&1\\0&0&0&1\end{bmatrix}\begin{bmatrix}B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-7.0 ["1/0", "-8/1", "1/4", "-1/4", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 7*7, 8*6, 9*5, 10*4, 11*3, 12*2

{\begin{bmatrix}C_{12}\\C_{11}\\C_{10}\\C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0&0&0\\8&\frac{-1}{5916418200}&\frac{31}{5916418200}&\frac{33}{5916418200}&\frac{341}{5916418200}&\frac{1023}{5916418200}&\frac{-40920}{5916418200}&\frac{-46376}{5916418200}&\frac{-139128}{5916418200}&\frac{-231880}{5916418200}&\frac{10388224}{5916418200}&\frac{13356288}{5916418200}&\frac{-739552275}{5916418200}\\\frac{-493034850}{23133600}&0&\frac{1}{23133600}&\frac{1}{23133600}&\frac{16}{23133600}&\frac{16}{23133600}&\frac{-1360}{23133600}&\frac{-1360}{23133600}&\frac{-5440}{23133600}&\frac{-5440}{23133600}&\frac{365568}{23133600}&\frac{365568}{23133600}&-1\\\frac{-47331345600}{277603200}&\frac{1}{277603200}&\frac{-28}{277603200}&\frac{-36}{277603200}&\frac{427}{277603200}&\frac{-1791}{277603200}&\frac{32760}{277603200}&\frac{54536}{277603200}&\frac{8568}{277603200}&\frac{362440}{277603200}&\frac{-6001408}{277603200}&\frac{-17743104}{277603200}&\frac{739552275}{277603200}\\\frac{98606970}{1088640}&0&\frac{-1}{1088640}&\frac{-1}{1088640}&\frac{-4}{1088640}&\frac{-4}{1088640}&\frac{1348}{1088640}&\frac{1348}{1088640}&\frac{4432}{1088640}&\frac{4432}{1088640}&\frac{-349440}{1088640}&\frac{-349440}{1088640}&\frac{23201640}{1088640}\\\frac{47331345600}{65318400}&\frac{-1}{65318400}&\frac{16}{65318400}&\frac{48}{65318400}&\frac{-619}{65318400}&\frac{1983}{65318400}&\frac{-480}{65318400}&\frac{-86816}{65318400}&\frac{392712}{65318400}&\frac{-763720}{65318400}&\frac{-10578176}{65318400}&\frac{34322688}{65318400}&\frac{-739552275}{65318400}\\\frac{-23477850}{259200}&0&\frac{1}{259200}&\frac{1}{259200}&\frac{1}{259200}&\frac{1}{259200}&\frac{-1300}{259200}&\frac{-1300}{259200}&\frac{-1300}{259200}&\frac{-1300}{259200}&\frac{287808}{259200}&\frac{287808}{259200}&\frac{-23477850}{259200}\\\frac{-47331345600}{65318400}&\frac{1}{65318400}&\frac{32}{65318400}&\frac{-96}{65318400}&\frac{667}{65318400}&\frac{-2031}{65318400}&\frac{-122880}{65318400}&\frac{210176}{65318400}&\frac{-516072}{65318400}&\frac{887080}{65318400}&\frac{62139392}{65318400}&\frac{-85883904}{65318400}&\frac{739552275}{65318400}\\\frac{23201640}{1088640}&0&\frac{-4}{1088640}&\frac{-4}{1088640}&\frac{-1}{1088640}&\frac{-1}{1088640}&\frac{4432}{1088640}&\frac{4432}{1088640}&\frac{1348}{1088640}&\frac{1348}{1088640}&\frac{-349440}{1088640}&\frac{-349440}{1088640}&\frac{98606970}{1088640}\\\frac{47331345600}{277603200}&\frac{-1}{277603200}&\frac{-224}{277603200}&\frac{288}{277603200}&\frac{-679}{277603200}&\frac{2043}{277603200}&\frac{524160}{277603200}&\frac{-611456}{277603200}&\frac{548352}{277603200}&\frac{-919360}{277603200}&\frac{-78718976}{277603200}&\frac{102463488}{277603200}&\frac{-739552275}{277603200}\\-1&0&\frac{16}{23133600}&\frac{16}{23133600}&\frac{1}{23133600}&\frac{1}{23133600}&\frac{-5440}{23133600}&\frac{-5440}{23133600}&\frac{-1360}{23133600}&\frac{-1360}{23133600}&\frac{365568}{23133600}&\frac{365568}{23133600}&\frac{-493034850}{23133600}\\-8&\frac{1}{5916418200}&\frac{992}{5916418200}&\frac{-1056}{5916418200}&\frac{682}{5916418200}&\frac{-2046}{5916418200}&\frac{-654720}{5916418200}&\frac{742016}{5916418200}&\frac{-556512}{5916418200}&\frac{927520}{5916418200}&\frac{83105792}{5916418200}&\frac{-106850304}{5916418200}&\frac{739552275}{5916418200}\\0&0&0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-8,1)\times{}B(-8,1)\\A(1,4)\times{}B(1,4)\\A(-1,4)\times{}B(-1,4)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 7*7

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-8,1)&B(-8,1)\\A(1,4)&B(1,4)\\A(-1,4)&B(-1,4)\\A(4,1)&B(4,1)\\A(-4,1)&B(-4,1)\\A(1,2)&B(1,2)\\A(-1,2)&B(-1,2)\\A(2,1)&B(2,1)\\A(-2,1)&B(-2,1)\\A(1,1)&B(1,1)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096\\1&-4&16&-64&256&-1024&4096\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{6}&B_{6}\\A_{5}&B_{5}\\A_{4}&B_{4}\\A_{3}&B_{3}\\A_{2}&B_{2}\\A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

split 8*6

{\begin{bmatrix}A(1,0)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384\\-1&4&-16&64&-256&1024&-4096&16384\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024\\-1&4&-16&64&-256&1024\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 9*5

{\begin{bmatrix}A(1,0)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0\\16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536\\1&-4&16&-64&256&-1024&4096&-16384&65536\\65536&16384&4096&1024&256&64&16&4&1\\65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256\\1&-2&4&-8&16&-32&64&-128&256\\256&128&64&32&16&8&4&2&1\\256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\4096&-512&64&-8&1\\1&4&16&64&256\\1&-4&16&-64&256\\256&64&16&4&1\\256&-64&16&-4&1\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-7.5 ["1/0", "8/1", "-8/1", "1/4", "-1/4", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 8*7, 9*6, 10*5, 11*4, 12*3, 13*2

{\begin{bmatrix}C_{13}\\C_{12}\\C_{11}\\C_{10}\\C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0&0&0&0\\0&\frac{1}{94662691200}&\frac{1}{94662691200}&\frac{-16}{94662691200}&\frac{-16}{94662691200}&\frac{-1364}{94662691200}&\frac{-1364}{94662691200}&\frac{43648}{94662691200}&\frac{43648}{94662691200}&\frac{371008}{94662691200}&\frac{371008}{94662691200}&\frac{-23744512}{94662691200}&\frac{-23744512}{94662691200}&\frac{1479104550}{94662691200}\\\frac{-2018977710750}{23665672800}&\frac{2}{23665672800}&\frac{-2}{23665672800}&\frac{-1}{23665672800}&\frac{1}{23665672800}&\frac{-1364}{23665672800}&\frac{1364}{23665672800}&\frac{5456}{23665672800}&\frac{-5456}{23665672800}&\frac{185504}{23665672800}&\frac{-185504}{23665672800}&\frac{-5936128}{23665672800}&\frac{5936128}{23665672800}&0\\0&\frac{-1}{4441651200}&\frac{-1}{4441651200}&\frac{64}{4441651200}&\frac{64}{4441651200}&\frac{4436}{4441651200}&\frac{4436}{4441651200}&\frac{-174208}{4441651200}&\frac{-174208}{4441651200}&\frac{-1415488}{4441651200}&\frac{-1415488}{4441651200}&\frac{93933568}{4441651200}&\frac{93933568}{4441651200}&\frac{-5920755750}{4441651200}\\\frac{807591084300}{555206400}&\frac{-1}{555206400}&\frac{1}{555206400}&\frac{2}{555206400}&\frac{-2}{555206400}&\frac{2218}{555206400}&\frac{-2218}{555206400}&\frac{-10888}{555206400}&\frac{10888}{555206400}&\frac{-353872}{555206400}&\frac{353872}{555206400}&\frac{11741696}{555206400}&\frac{-11741696}{555206400}&0\\0&\frac{1}{1045094400}&\frac{1}{1045094400}&\frac{-256}{1045094400}&\frac{-256}{1045094400}&\frac{-5204}{1045094400}&\frac{-5204}{1045094400}&\frac{690688}{1045094400}&\frac{690688}{1045094400}&\frac{4625728}{1045094400}&\frac{4625728}{1045094400}&\frac{-359206912}{1045094400}&\frac{-359206912}{1045094400}&\frac{23752678950}{1045094400}\\\frac{-769134366000}{130636800}&\frac{1}{130636800}&\frac{-1}{130636800}&\frac{-8}{130636800}&\frac{8}{130636800}&\frac{-2602}{130636800}&\frac{2602}{130636800}&\frac{43168}{130636800}&\frac{-43168}{130636800}&\frac{1156432}{130636800}&\frac{-1156432}{130636800}&\frac{-44900864}{130636800}&\frac{44900864}{130636800}&0\\0&\frac{-1}{1045094400}&\frac{-1}{1045094400}&\frac{1024}{1045094400}&\frac{1024}{1045094400}&\frac{5396}{1045094400}&\frac{5396}{1045094400}&\frac{-2664448}{1045094400}&\frac{-2664448}{1045094400}&\frac{-5612608}{1045094400}&\frac{-5612608}{1045094400}&\frac{1184186368}{1045094400}&\frac{1184186368}{1045094400}&\frac{-96141795750}{1045094400}\\\frac{760085726400}{130636800}&\frac{-1}{130636800}&\frac{1}{130636800}&\frac{32}{130636800}&\frac{-32}{130636800}&\frac{2698}{130636800}&\frac{-2698}{130636800}&\frac{-166528}{130636800}&\frac{166528}{130636800}&\frac{-1403152}{130636800}&\frac{1403152}{130636800}&\frac{148023296}{130636800}&\frac{-148023296}{130636800}&0\\0&\frac{1}{4441651200}&\frac{1}{4441651200}&\frac{-4096}{4441651200}&\frac{-4096}{4441651200}&\frac{-5444}{4441651200}&\frac{-5444}{4441651200}&\frac{9084928}{4441651200}&\frac{9084928}{4441651200}&\frac{5870848}{4441651200}&\frac{5870848}{4441651200}&\frac{-1449459712}{4441651200}&\frac{-1449459712}{4441651200}&\frac{403795542150}{4441651200}\\-1365&\frac{1}{555206400}&\frac{-1}{555206400}&\frac{-128}{555206400}&\frac{128}{555206400}&\frac{-2722}{555206400}&\frac{2722}{555206400}&\frac{567808}{555206400}&\frac{-567808}{555206400}&\frac{1467712}{555206400}&\frac{-1467712}{555206400}&\frac{-181182464}{555206400}&\frac{181182464}{555206400}&0\\0&\frac{-1}{94662691200}&\frac{-1}{94662691200}&\frac{16384}{94662691200}&\frac{16384}{94662691200}&\frac{5456}{94662691200}&\frac{5456}{94662691200}&\frac{-11173888}{94662691200}&\frac{-11173888}{94662691200}&\frac{-5936128}{94662691200}&\frac{-5936128}{94662691200}&\frac{1519648768}{94662691200}&\frac{1519648768}{94662691200}&\frac{-2018977710750}{94662691200}\\64&\frac{-1}{11832836400}&\frac{1}{11832836400}&\frac{512}{11832836400}&\frac{-512}{11832836400}&\frac{2728}{11832836400}&\frac{-2728}{11832836400}&\frac{-698368}{11832836400}&\frac{698368}{11832836400}&\frac{-1484032}{11832836400}&\frac{1484032}{11832836400}&\frac{189956096}{11832836400}&\frac{-189956096}{11832836400}&0\\0&0&0&0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(8,1)\times{}B(8,1)\\A(-8,1)\times{}B(-8,1)\\A(1,4)\times{}B(1,4)\\A(-1,4)\times{}B(-1,4)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 8*7

{\begin{bmatrix}A(1,0)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\2097152&262144&32768&4096&512&64&8&1\\-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384\\-1&4&-16&64&-256&1024&-4096&16384\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\262144&32768&4096&512&64&8&1\\262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096\\1&-4&16&-64&256&-1024&4096\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{6}\\B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 9*6

{\begin{bmatrix}A(1,0)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0\\16777216&2097152&262144&32768&4096&512&64&8&1\\16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536\\1&-4&16&-64&256&-1024&4096&-16384&65536\\65536&16384&4096&1024&256&64&16&4&1\\65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256\\1&-2&4&-8&16&-32&64&-128&256\\256&128&64&32&16&8&4&2&1\\256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\32768&4096&512&64&8&1\\-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024\\-1&4&-16&64&-256&1024\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 10*5

{\begin{bmatrix}A(1,0)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0\\134217728&16777216&2097152&262144&32768&4096&512&64&8&1\\-134217728&16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536&262144\\-1&4&-16&64&-256&1024&-4096&16384&-65536&262144\\262144&65536&16384&4096&1024&256&64&16&4&1\\-262144&65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256&512\\-1&2&-4&8&-16&32&-64&128&-256&512\\512&256&128&64&32&16&8&4&2&1\\-512&256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{9}\\A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0\\4096&512&64&8&1\\4096&-512&64&-8&1\\1&4&16&64&256\\1&-4&16&-64&256\\256&64&16&4&1\\256&-64&16&-4&1\\1&2&4&8&16\\1&-2&4&-8&16\\16&8&4&2&1\\16&-8&4&-2&1\\1&1&1&1&1\\1&-1&1&-1&1\\0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-8.0 ["1/0", "-1/8", "8/1", "-8/1", "1/4", "-1/4", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 8*8, 9*7, 10*6, 11*5, 12*4, 13*3, 14*2

{\begin{bmatrix}C_{14}\\C_{13}\\C_{12}\\C_{11}\\C_{10}\\C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0&0&0&0&0\\\frac{6056933132250}{48455465058000}&\frac{-2}{48455465058000}&\frac{63}{48455465058000}&\frac{-65}{48455465058000}&\frac{-5460}{48455465058000}&\frac{16380}{48455465058000}&\frac{-169260}{48455465058000}&\frac{180180}{48455465058000}&\frac{17873856}{48455465058000}&\frac{-29789760}{48455465058000}&\frac{89369280}{48455465058000}&\frac{-101285184}{48455465058000}&\frac{-10803752960}{48455465058000}&\frac{13890539520}{48455465058000}&\frac{6056933132250}{48455465058000}\\\frac{-8075910843000}{94662691200}&0&\frac{1}{94662691200}&\frac{1}{94662691200}&\frac{-4}{94662691200}&\frac{-4}{94662691200}&\frac{-1364}{94662691200}&\frac{-1364}{94662691200}&\frac{21824}{94662691200}&\frac{21824}{94662691200}&\frac{371008}{94662691200}&\frac{371008}{94662691200}&\frac{-23744512}{94662691200}&\frac{-23744512}{94662691200}&\frac{1479104550}{94662691200}\\\frac{-6056933132250}{567976147200}&\frac{2}{567976147200}&\frac{-15}{567976147200}&\frac{17}{567976147200}&\frac{5454}{567976147200}&\frac{-16374}{567976147200}&\frac{136524}{567976147200}&\frac{-147444}{567976147200}&\frac{-17808384}{567976147200}&\frac{29724288}{567976147200}&\frac{-84917184}{567976147200}&\frac{96833088}{567976147200}&\frac{10661285888}{567976147200}&\frac{-13748072448}{567976147200}&\frac{-6056933132250}{567976147200}\\\frac{6460728674400}{4441651200}&0&\frac{-1}{4441651200}&\frac{-1}{4441651200}&\frac{16}{4441651200}&\frac{16}{4441651200}&\frac{4436}{4441651200}&\frac{4436}{4441651200}&\frac{-87104}{4441651200}&\frac{-87104}{4441651200}&\frac{-1415488}{4441651200}&\frac{-1415488}{4441651200}&\frac{93933568}{4441651200}&\frac{93933568}{4441651200}&\frac{-5920755750}{4441651200}\\\frac{6056933132250}{33312384000}&\frac{-2}{33312384000}&\frac{3}{33312384000}&\frac{-5}{33312384000}&\frac{-5430}{33312384000}&\frac{16350}{33312384000}&\frac{-36180}{33312384000}&\frac{47100}{33312384000}&\frac{17547216}{33312384000}&\frac{-29463120}{33312384000}&\frac{68136960}{33312384000}&\frac{-80052864}{33312384000}&\frac{-10099251200}{33312384000}&\frac{13186037760}{33312384000}&\frac{6056933132250}{33312384000}\\\frac{-6153074928000}{1045094400}&0&\frac{1}{1045094400}&\frac{1}{1045094400}&\frac{-64}{1045094400}&\frac{-64}{1045094400}&\frac{-5204}{1045094400}&\frac{-5204}{1045094400}&\frac{345344}{1045094400}&\frac{345344}{1045094400}&\frac{4625728}{1045094400}&\frac{4625728}{1045094400}&\frac{-359206912}{1045094400}&\frac{-359206912}{1045094400}&\frac{23752678950}{1045094400}\\\frac{-3028466566125}{4115059200}&\frac{1}{4115059200}&0&\frac{1}{4115059200}&\frac{2667}{4115059200}&\frac{-8127}{4115059200}&\frac{2667}{4115059200}&\frac{-8127}{4115059200}&\frac{-8257032}{4115059200}&\frac{14214984}{4115059200}&\frac{-8257032}{4115059200}&\frac{14214984}{4115059200}&\frac{3987499264}{4115059200}&\frac{-5530892544}{4115059200}&\frac{-3028466566125}{4115059200}\\\frac{6080685811200}{1045094400}&0&\frac{-1}{1045094400}&\frac{-1}{1045094400}&\frac{256}{1045094400}&\frac{256}{1045094400}&\frac{5396}{1045094400}&\frac{5396}{1045094400}&\frac{-1332224}{1045094400}&\frac{-1332224}{1045094400}&\frac{-5612608}{1045094400}&\frac{-5612608}{1045094400}&\frac{1184186368}{1045094400}&\frac{1184186368}{1045094400}&\frac{-96141795750}{1045094400}\\\frac{24227732529000}{33312384000}&\frac{-8}{33312384000}&\frac{-3}{33312384000}&\frac{-5}{33312384000}&\frac{-19800}{33312384000}&\frac{63480}{33312384000}&\frac{10950}{33312384000}&\frac{32730}{33312384000}&\frac{50263104}{33312384000}&\frac{-97926720}{33312384000}&\frac{-326640}{33312384000}&\frac{-47336976}{33312384000}&\frac{-5469071360}{33312384000}&\frac{17816217600}{33312384000}&\frac{24227732529000}{33312384000}\\-1365&0&\frac{1}{4441651200}&\frac{1}{4441651200}&\frac{-1024}{4441651200}&\frac{-1024}{4441651200}&\frac{-5444}{4441651200}&\frac{-5444}{4441651200}&\frac{4542464}{4441651200}&\frac{4542464}{4441651200}&\frac{5870848}{4441651200}&\frac{5870848}{4441651200}&\frac{-1449459712}{4441651200}&\frac{-1449459712}{4441651200}&\frac{403795542150}{4441651200}\\\frac{-96910930116000}{567976147200}&\frac{32}{567976147200}&\frac{15}{567976147200}&\frac{17}{567976147200}&\frac{54624}{567976147200}&\frac{-229344}{567976147200}&\frac{-76446}{567976147200}&\frac{-98274}{567976147200}&\frac{4452096}{567976147200}&\frac{186202368}{567976147200}&\frac{71560896}{567976147200}&\frac{119093568}{567976147200}&\frac{-12489613312}{567976147200}&\frac{-36898971648}{567976147200}&\frac{-96910930116000}{567976147200}\\64&0&\frac{-1}{94662691200}&\frac{-1}{94662691200}&\frac{4096}{94662691200}&\frac{4096}{94662691200}&\frac{5456}{94662691200}&\frac{5456}{94662691200}&\frac{-5586944}{94662691200}&\frac{-5586944}{94662691200}&\frac{-5936128}{94662691200}&\frac{-5936128}{94662691200}&\frac{1519648768}{94662691200}&\frac{1519648768}{94662691200}&\frac{-2018977710750}{94662691200}\\8&\frac{-128}{48455465058000}&\frac{-63}{48455465058000}&\frac{-65}{48455465058000}&\frac{174720}{48455465058000}&\frac{524160}{48455465058000}&\frac{338520}{48455465058000}&\frac{360360}{48455465058000}&\frac{-285981696}{48455465058000}&\frac{-476636160}{48455465058000}&\frac{-357477120}{48455465058000}&\frac{-405140736}{48455465058000}&\frac{86430023680}{48455465058000}&\frac{111124316160}{48455465058000}&8\\0&0&0&0&0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(-1,8)\times{}B(-1,8)\\A(8,1)\times{}B(8,1)\\A(-8,1)\times{}B(-8,1)\\A(1,4)\times{}B(1,4)\\A(-1,4)\times{}B(-1,4)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 8*8

{\begin{bmatrix}A(1,0)&B(1,0)\\A(-1,8)&B(-1,8)\\A(8,1)&B(8,1)\\A(-8,1)&B(-8,1)\\A(1,4)&B(1,4)\\A(-1,4)&B(-1,4)\\A(4,1)&B(4,1)\\A(-4,1)&B(-4,1)\\A(1,2)&B(1,2)\\A(-1,2)&B(-1,2)\\A(2,1)&B(2,1)\\A(-2,1)&B(-2,1)\\A(1,1)&B(1,1)\\A(-1,1)&B(-1,1)\\A(0,1)&B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\-1&8&-64&512&-4096&32768&-262144&2097152\\2097152&262144&32768&4096&512&64&8&1\\-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384\\-1&4&-16&64&-256&1024&-4096&16384\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{7}&B_{7}\\A_{6}&B_{6}\\A_{5}&B_{5}\\A_{4}&B_{4}\\A_{3}&B_{3}\\A_{2}&B_{2}\\A_{1}&B_{1}\\A_{0}&B_{0}\end{bmatrix}}

split 9*7

{\begin{bmatrix}A(1,0)\\A(-1,8)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0\\1&-8&64&-512&4096&-32768&262144&-2097152&16777216\\16777216&2097152&262144&32768&4096&512&64&8&1\\16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536\\1&-4&16&-64&256&-1024&4096&-16384&65536\\65536&16384&4096&1024&256&64&16&4&1\\65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256\\1&-2&4&-8&16&-32&64&-128&256\\256&128&64&32&16&8&4&2&1\\256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-1,8)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\1&-8&64&-512&4096&-32768&262144\\262144&32768&4096&512&64&8&1\\262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096\\1&-4&16&-64&256&-1024&4096\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{6}\\B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 10*6

{\begin{bmatrix}A(1,0)\\A(-1,8)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0\\-1&8&-64&512&-4096&32768&-262144&2097152&-16777216&134217728\\134217728&16777216&2097152&262144&32768&4096&512&64&8&1\\-134217728&16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536&262144\\-1&4&-16&64&-256&1024&-4096&16384&-65536&262144\\262144&65536&16384&4096&1024&256&64&16&4&1\\-262144&65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256&512\\-1&2&-4&8&-16&32&-64&128&-256&512\\512&256&128&64&32&16&8&4&2&1\\-512&256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{9}\\A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(-1,8)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\-1&8&-64&512&-4096&32768\\32768&4096&512&64&8&1\\-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024\\-1&4&-16&64&-256&1024\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

Toom-8.5 ["1/0", "1/8", "-1/8", "8/1", "-8/1", "1/4", "-1/4", "4/1", "-4/1", "1/2", "-1/2", "2/1", "-2/1", "1/1", "-1/1", "0/1"] : 9*8, 10*7, 11*6, 12*5, 13*4, 14*3, 15*2

{\begin{bmatrix}C_{15}\\C_{14}\\C_{13}\\C_{12}\\C_{11}\\C_{10}\\C_{9}\\C_{8}\\C_{7}\\C_{6}\\C_{5}\\C_{4}\\C_{3}\\C_{2}\\C_{1}\\C_{0}\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0\\0&\frac{1}{48455465058000}&\frac{1}{48455465058000}&\frac{8}{48455465058000}&\frac{8}{48455465058000}&\frac{-10920}{48455465058000}&\frac{-10920}{48455465058000}&\frac{-43680}{48455465058000}&\frac{-43680}{48455465058000}&\frac{23831808}{48455465058000}&\frac{23831808}{48455465058000}&\frac{47663616}{48455465058000}&\frac{47663616}{48455465058000}&\frac{-12347146240}{48455465058000}&\frac{-12347146240}{48455465058000}&-1\\\frac{-33076911835217250}{387643720464000}&\frac{1}{387643720464000}&\frac{-1}{387643720464000}&\frac{512}{387643720464000}&\frac{-512}{387643720464000}&\frac{-21840}{387643720464000}&\frac{21840}{387643720464000}&\frac{-1397760}{387643720464000}&\frac{1397760}{387643720464000}&\frac{95327232}{387643720464000}&\frac{-95327232}{387643720464000}&\frac{762617856}{387643720464000}&\frac{-762617856}{387643720464000}&\frac{-98777169920}{387643720464000}&\frac{98777169920}{387643720464000}&0\\0&\frac{-1}{567976147200}&\frac{-1}{567976147200}&\frac{-2}{567976147200}&\frac{-2}{567976147200}&\frac{10914}{567976147200}&\frac{10914}{567976147200}&\frac{35496}{567976147200}&\frac{35496}{567976147200}&\frac{-23766336}{567976147200}&\frac{-23766336}{567976147200}&\frac{-45437568}{567976147200}&\frac{-45437568}{567976147200}&\frac{12204679168}{567976147200}&\frac{12204679168}{567976147200}&\frac{48464339685300}{567976147200}\\\frac{6615382367043450}{4543809177600}&\frac{-1}{4543809177600}&\frac{1}{4543809177600}&\frac{-128}{4543809177600}&\frac{128}{4543809177600}&\frac{21828}{4543809177600}&\frac{-21828}{4543809177600}&\frac{1135872}{4543809177600}&\frac{-1135872}{4543809177600}&\frac{-95065344}{4543809177600}&\frac{95065344}{4543809177600}&\frac{-727001088}{4543809177600}&\frac{727001088}{4543809177600}&\frac{97637433344}{4543809177600}&\frac{-97637433344}{4543809177600}&0\\0&\frac{2}{66624768000}&\frac{2}{66624768000}&\frac{1}{66624768000}&\frac{1}{66624768000}&\frac{-21780}{66624768000}&\frac{-21780}{66624768000}&\frac{-20820}{66624768000}&\frac{-20820}{66624768000}&\frac{47010336}{66624768000}&\frac{47010336}{66624768000}&\frac{74094912}{66624768000}&\frac{74094912}{66624768000}&\frac{-23285288960}{66624768000}&\frac{-23285288960}{66624768000}&\frac{-96999741452250}{66624768000}\\\frac{-1575091039772250}{266499072000}&\frac{1}{266499072000}&\frac{-1}{266499072000}&\frac{32}{266499072000}&\frac{-32}{266499072000}&\frac{-21780}{266499072000}&\frac{21780}{266499072000}&\frac{-333120}{266499072000}&\frac{333120}{266499072000}&\frac{94020672}{266499072000}&\frac{-94020672}{266499072000}&\frac{592759296}{266499072000}&\frac{-592759296}{266499072000}&\frac{-93141155840}{266499072000}&\frac{93141155840}{266499072000}&0\\0&\frac{-8}{65840947200}&\frac{-8}{65840947200}&\frac{-1}{65840947200}&\frac{-1}{65840947200}&\frac{86352}{65840947200}&\frac{86352}{65840947200}&\frac{21588}{65840947200}&\frac{21588}{65840947200}&\frac{-179776128}{65840947200}&\frac{-179776128}{65840947200}&\frac{-89888064}{65840947200}&\frac{-89888064}{65840947200}&\frac{76147134464}{65840947200}&\frac{76147134464}{65840947200}&\frac{389140139237850}{65840947200}\\\frac{389140139237850}{65840947200}&\frac{-1}{65840947200}&\frac{1}{65840947200}&\frac{-8}{65840947200}&\frac{8}{65840947200}&\frac{21588}{65840947200}&\frac{-21588}{65840947200}&\frac{86352}{65840947200}&\frac{-86352}{65840947200}&\frac{-89888064}{65840947200}&\frac{89888064}{65840947200}&\frac{-179776128}{65840947200}&\frac{179776128}{65840947200}&\frac{76147134464}{65840947200}&\frac{-76147134464}{65840947200}&0\\0&\frac{32}{266499072000}&\frac{32}{266499072000}&\frac{1}{266499072000}&\frac{1}{266499072000}&\frac{-333120}{266499072000}&\frac{-333120}{266499072000}&\frac{-21780}{266499072000}&\frac{-21780}{266499072000}&\frac{592759296}{266499072000}&\frac{592759296}{266499072000}&\frac{94020672}{266499072000}&\frac{94020672}{266499072000}&\frac{-93141155840}{266499072000}&\frac{-93141155840}{266499072000}&\frac{-1575091039772250}{266499072000}\\\frac{-96999741452250}{66624768000}&\frac{1}{66624768000}&\frac{-1}{66624768000}&\frac{2}{66624768000}&\frac{-2}{66624768000}&\frac{-20820}{66624768000}&\frac{20820}{66624768000}&\frac{-21780}{66624768000}&\frac{21780}{66624768000}&\frac{74094912}{66624768000}&\frac{-74094912}{66624768000}&\frac{47010336}{66624768000}&\frac{-47010336}{66624768000}&\frac{-23285288960}{66624768000}&\frac{23285288960}{66624768000}&0\\0&\frac{-128}{4543809177600}&\frac{-128}{4543809177600}&\frac{-1}{4543809177600}&\frac{-1}{4543809177600}&\frac{1135872}{4543809177600}&\frac{1135872}{4543809177600}&\frac{21828}{4543809177600}&\frac{21828}{4543809177600}&\frac{-727001088}{4543809177600}&\frac{-727001088}{4543809177600}&\frac{-95065344}{4543809177600}&\frac{-95065344}{4543809177600}&\frac{97637433344}{4543809177600}&\frac{97637433344}{4543809177600}&\frac{6615382367043450}{4543809177600}\\\frac{48464339685300}{567976147200}&\frac{-2}{567976147200}&\frac{2}{567976147200}&\frac{-1}{567976147200}&\frac{1}{567976147200}&\frac{35496}{567976147200}&\frac{-35496}{567976147200}&\frac{10914}{567976147200}&\frac{-10914}{567976147200}&\frac{-45437568}{567976147200}&\frac{45437568}{567976147200}&\frac{-23766336}{567976147200}&\frac{23766336}{567976147200}&\frac{12204679168}{567976147200}&\frac{-12204679168}{567976147200}&0\\0&\frac{512}{387643720464000}&\frac{512}{387643720464000}&\frac{1}{387643720464000}&\frac{1}{387643720464000}&\frac{-1397760}{387643720464000}&\frac{-1397760}{387643720464000}&\frac{-21840}{387643720464000}&\frac{-21840}{387643720464000}&\frac{762617856}{387643720464000}&\frac{762617856}{387643720464000}&\frac{95327232}{387643720464000}&\frac{95327232}{387643720464000}&\frac{-98777169920}{387643720464000}&\frac{-98777169920}{387643720464000}&\frac{-33076911835217250}{387643720464000}\\-1&\frac{8}{48455465058000}&\frac{-8}{48455465058000}&\frac{1}{48455465058000}&\frac{-1}{48455465058000}&\frac{-43680}{48455465058000}&\frac{43680}{48455465058000}&\frac{-10920}{48455465058000}&\frac{10920}{48455465058000}&\frac{47663616}{48455465058000}&\frac{-47663616}{48455465058000}&\frac{23831808}{48455465058000}&\frac{-23831808}{48455465058000}&\frac{-12347146240}{48455465058000}&\frac{12347146240}{48455465058000}&0\\0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A(1,0)\times{}B(1,0)\\A(1,8)\times{}B(1,8)\\A(-1,8)\times{}B(-1,8)\\A(8,1)\times{}B(8,1)\\A(-8,1)\times{}B(-8,1)\\A(1,4)\times{}B(1,4)\\A(-1,4)\times{}B(-1,4)\\A(4,1)\times{}B(4,1)\\A(-4,1)\times{}B(-4,1)\\A(1,2)\times{}B(1,2)\\A(-1,2)\times{}B(-1,2)\\A(2,1)\times{}B(2,1)\\A(-2,1)\times{}B(-2,1)\\A(1,1)\times{}B(1,1)\\A(-1,1)\times{}B(-1,1)\\A(0,1)\times{}B(0,1)\end{bmatrix}}

split 9*8

{\begin{bmatrix}A(1,0)\\A(1,8)\\A(-1,8)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0\\1&8&64&512&4096&32768&262144&2097152&16777216\\1&-8&64&-512&4096&-32768&262144&-2097152&16777216\\16777216&2097152&262144&32768&4096&512&64&8&1\\16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536\\1&-4&16&-64&256&-1024&4096&-16384&65536\\65536&16384&4096&1024&256&64&16&4&1\\65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256\\1&-2&4&-8&16&-32&64&-128&256\\256&128&64&32&16&8&4&2&1\\256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,8)\\B(-1,8)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0\\1&8&64&512&4096&32768&262144&2097152\\-1&8&-64&512&-4096&32768&-262144&2097152\\2097152&262144&32768&4096&512&64&8&1\\-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384\\-1&4&-16&64&-256&1024&-4096&16384\\16384&4096&1024&256&64&16&4&1\\-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128\\-1&2&-4&8&-16&32&-64&128\\128&64&32&16&8&4&2&1\\-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{7}\\B_{6}\\B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 10*7

{\begin{bmatrix}A(1,0)\\A(1,8)\\A(-1,8)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0\\1&8&64&512&4096&32768&262144&2097152&16777216&134217728\\-1&8&-64&512&-4096&32768&-262144&2097152&-16777216&134217728\\134217728&16777216&2097152&262144&32768&4096&512&64&8&1\\-134217728&16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536&262144\\-1&4&-16&64&-256&1024&-4096&16384&-65536&262144\\262144&65536&16384&4096&1024&256&64&16&4&1\\-262144&65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256&512\\-1&2&-4&8&-16&32&-64&128&-256&512\\512&256&128&64&32&16&8&4&2&1\\-512&256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1&1\\-1&1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{9}\\A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,8)\\B(-1,8)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0\\1&8&64&512&4096&32768&262144\\1&-8&64&-512&4096&-32768&262144\\262144&32768&4096&512&64&8&1\\262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096\\1&-4&16&-64&256&-1024&4096\\4096&1024&256&64&16&4&1\\4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64\\1&-2&4&-8&16&-32&64\\64&32&16&8&4&2&1\\64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{6}\\B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}

split 11*6

{\begin{bmatrix}A(1,0)\\A(1,8)\\A(-1,8)\\A(8,1)\\A(-8,1)\\A(1,4)\\A(-1,4)\\A(4,1)\\A(-4,1)\\A(1,2)\\A(-1,2)\\A(2,1)\\A(-2,1)\\A(1,1)\\A(-1,1)\\A(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0&0&0&0&0&0\\1&8&64&512&4096&32768&262144&2097152&16777216&134217728&1073741824\\1&-8&64&-512&4096&-32768&262144&-2097152&16777216&-134217728&1073741824\\1073741824&134217728&16777216&2097152&262144&32768&4096&512&64&8&1\\1073741824&-134217728&16777216&-2097152&262144&-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024&4096&16384&65536&262144&1048576\\1&-4&16&-64&256&-1024&4096&-16384&65536&-262144&1048576\\1048576&262144&65536&16384&4096&1024&256&64&16&4&1\\1048576&-262144&65536&-16384&4096&-1024&256&-64&16&-4&1\\1&2&4&8&16&32&64&128&256&512&1024\\1&-2&4&-8&16&-32&64&-128&256&-512&1024\\1024&512&256&128&64&32&16&8&4&2&1\\1024&-512&256&-128&64&-32&16&-8&4&-2&1\\1&1&1&1&1&1&1&1&1&1&1\\1&-1&1&-1&1&-1&1&-1&1&-1&1\\0&0&0&0&0&0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}A_{10}\\A_{9}\\A_{8}\\A_{7}\\A_{6}\\A_{5}\\A_{4}\\A_{3}\\A_{2}\\A_{1}\\A_{0}\end{bmatrix}}
{\begin{bmatrix}B(1,0)\\B(1,8)\\B(-1,8)\\B(8,1)\\B(-8,1)\\B(1,4)\\B(-1,4)\\B(4,1)\\B(-4,1)\\B(1,2)\\B(-1,2)\\B(2,1)\\B(-2,1)\\B(1,1)\\B(-1,1)\\B(0,1)\end{bmatrix}=\begin{bmatrix}1&0&0&0&0&0\\1&8&64&512&4096&32768\\-1&8&-64&512&-4096&32768\\32768&4096&512&64&8&1\\-32768&4096&-512&64&-8&1\\1&4&16&64&256&1024\\-1&4&-16&64&-256&1024\\1024&256&64&16&4&1\\-1024&256&-64&16&-4&1\\1&2&4&8&16&32\\-1&2&-4&8&-16&32\\32&16&8&4&2&1\\-32&16&-8&4&-2&1\\1&1&1&1&1&1\\-1&1&-1&1&-1&1\\0&0&0&0&0&1\end{bmatrix}\begin{bmatrix}B_{5}\\B_{4}\\B_{3}\\B_{2}\\B_{1}\\B_{0}\end{bmatrix}}