User:C7X/BMS Analysis

BM4; orange is ascending (rows at or below LNZ never ascend); underlined is bad root; ascension adds 1 for every copy, not 1 for every column


 * =0
 * (0)=1
 * (0)(0)=2
 * (0)(0)(0)=3
 * (0) (1)=$$\omega$$
 * (0)(1)(0)=$$\omega+1$$
 * (0)(1)(0)(0)=$$\omega+2$$
 * (0)(1)(0)(0)(0)=$$\omega+3$$
 * (0)(1) (0) (1)=$$\omega 2$$
 * (0) (1)(1)=$$\omega^2$$
 * (0) (1)(1)(1)=$$\omega^3$$
 * (0) (1) (2)=$$\omega^\omega$$
 * ( 0 ,0) (1,1)=$$\varepsilon_0$$
 * (0,0)(1,1)(0,0)=$$\varepsilon_0+1$$
 * (0,0)(1,1)(0,0)(0,0)=$$\varepsilon_0+2$$
 * (0,0)(1,1) (0,0) (1,0)=$$\varepsilon_0+\omega$$
 * (0,0)(1,1)(0,0)(1,0)(0,0)=$$\varepsilon_0+\omega+1$$
 * (0,0)(1,1)(0,0)(1,0) (0,0) (1,0)=$$\varepsilon_0+\omega2$$
 * (0,0)(1,1) (0,0) (1,0)(1,0)=$$\varepsilon_0+\omega^2$$
 * (0,0)(1,1)(0,0) (1,0) (2,0)=$$\varepsilon_0+\omega^\omega$$
 * (0,0)(1,1) ( 0 ,0) (1,1)=$$\varepsilon_02$$
 * (0,0)(1,1)(0,0)(1,1) ( 0 ,0) (1,1)=$$\varepsilon_03$$
 * (0,0) (1,1)(1,0)=$$\omega^{\varepsilon_0+1}$$
 * (0,0)(1,1)(1,0) ( 0 ,0) (1,1)=$$\omega^{\varepsilon_0+1}+\varepsilon_0$$
 * (0,0)(1,1)(1,0) (0,0) (1,1)(1,0)=$$\omega^{\varepsilon_0+1}2$$
 * (0,0) (1,1)(1,0)(1,0)=$$\omega^{\varepsilon_0+2}$$
 * (0,0) (1,1)(1,0)(1,0)(1,0)=$$\omega^{\varepsilon_0+3}$$
 * (0,0)(1,1) (1,0) (2,0)=$$\omega^{\varepsilon_0+\omega}$$
 * (0,0)(1,1)(1,0)(2,0)(0,0)(1,1) (1,0) (2,0)=$$\omega^{\varepsilon_0+\omega}2$$
 * (0,0) (1,1)(1,0)(2,0)(1,0)=$$\omega^{\varepsilon_0+\omega+1}$$
 * (0,0)(1,1)(1,0)(2,0)(1,0) (0,0) (1,1)(1,0)(2,0)(1,0)=$$\omega^{\varepsilon_0+\omega+1}2$$
 * (0,0) (1,1)(1,0)(2,0)(1,0)(1,0)=$$\omega^{\varepsilon_0+\omega+2}$$
 * (0,0) (1,1)(1,0)(2,0)(1,0)(1,0)(1,0)=$$\omega^{\varepsilon_0+\omega+3}$$
 * (0,0)(1,1)(1,0)(2,0) (1,0) (2,0)=$$\omega^{\varepsilon_0+\omega2}$$
 * (0,0)(1,1)(1,0)(2,0)(1,0)(2,0) (1,0) (2,0)=$$\omega^{\varepsilon_0+\omega3}$$
 * (0,0)(1,1) (1,0) (2,0)(2,0)=$$\omega^{\varepsilon_0+\omega^2}$$
 * (0,0)(1,1) (1,0) (2,0)(2,0)(2,0)=$$\omega^{\varepsilon_0+\omega^3}$$
 * (0,0)(1,1)(1,0) (2,0) (3,0)=$$\omega^{\varepsilon_0+\omega^\omega}$$
 * (0,0)(1,1) ( 1 ,0) (2,1)=$$\omega^{\varepsilon_02}$$
 * (0,0) (1,1)(1,0)(2,1)(1,0)=$$\omega^{\varepsilon_02+1}$$
 * (0,0) (1,1)(1,0)(2,1)(1,0)(1,0)=$$\omega^{\varepsilon_02+2}$$
 * (0,0)(1,1)(1,0)(2,1) (1,0) (2,0)=$$\omega^{\varepsilon_02+\omega}$$
 * (0,0)(1,1)(1,0)(2,1) (1,0) (2,0)(2,0)=$$\omega^{\varepsilon_02+\omega^2}$$
 * (0,0)(1,1)(1,0)(2,1)(1,0) (2,0) (3,0)=$$\omega^{\varepsilon_02+\omega^\omega}$$
 * (0,0)(1,1)(1,0)(2,1) ( 1 ,0) (2,1)=$$\omega^{\varepsilon_03}$$
 * (0,0)(1,1)(1,0)(2,1)(1,0)(2,1) ( 1 ,0) (2,1)=$$\omega^{\varepsilon_04}$$
 * (0,0)(1,1) (1,0) (2,1)(2,0)=$$\omega^{\omega^{\varepsilon_0+1}}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(0,0)(1,1) (1,0) (2,1)(2,0)=$$\omega^{\omega^{\varepsilon_0+1}}2$$
 * (0,0) (1,1)(1,0)(2,1)(2,0)(1,0)=$$\omega^{\omega^{\varepsilon_0+1}+1}$$
 * (0,0) (1,1)(1,0)(2,1)(2,0)(1,0)(1,0)=$$\omega^{\omega^{\varepsilon_0+1}+2}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0) (1,0) (2,0)=$$\omega^{\omega^{\varepsilon_0+1}+\omega}$$
 * (0,0) (1,1)(1,0)(2,1)(2,0)(1,0)(2,0)(1,0)=$$\omega^{\omega^{\varepsilon_0+1}+\omega+1}$$
 * (0,0) (1,1)(1,0)(2,1)(2,0)(1,0)(2,0)(1,0)(1,0)=$$\omega^{\omega^{\varepsilon_0+1}+\omega+2}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(1,0)(2,0) (1,0) (2,0)=$$\omega^{\omega^{\varepsilon_0+1}+\omega2}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0) (1,0) (2,0)(2,0)=$$\omega^{\omega^{\varepsilon_0+1}+\omega^2}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0) (1,0) (2,0)(2,0)(2,0)=$$\omega^{\omega^{\varepsilon_0+1}+\omega^3}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0) ( 1 ,0) (2,1)=$$\omega^{\omega^{\varepsilon_0+1}+\varepsilon_0}$$
 * (0,0) (1,1)(1,0)(2,1)(2,0)(1,0)(2,1)(1,0)=$$\omega^{\omega^{\varepsilon_0+1}+\varepsilon_0+1}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(1,0)(2,1) (1,0) (2,0)=$$\omega^{\omega^{\varepsilon_0+1}+\varepsilon_0+\omega}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(1,0)(2,1)(1,0) (2,0) (3,0)=$$\omega^{\omega^{\varepsilon_0+1}+\varepsilon_0+\omega^\omega}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(1,0)(2,1) ( 1 ,0) (2,1)=$$\omega^{\omega^{\varepsilon_0+1}+\varepsilon_02}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(1,0)(2,1)(1,0)(2,1) ( 1 ,0) (2,1)=$$\omega^{\omega^{\varepsilon_0+1}+\varepsilon_03}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0) (1,0) (2,1)(2,0)=$$\omega^{\omega^{\varepsilon_0+1}2}$$
 * (0,0)(1,1)(1,0)(2,1)(2,0)(1,0)(2,1)(2,0) (1,0) (2,1)(2,0)=$$\omega^{\omega^{\varepsilon_0+1}3}$$
 * (0,0)(1,1) (1,0) (2,1)(2,0)(2,0)=$$\omega^{\omega^{\varepsilon_0+2}}$$