## FANDOM

10,828 Pages

The & operator works as in Ikosarakts definition

The first difference is in the legions.

$$\{X,X/1/1.../1/1/n/\#\}\text{&}k$$ = $$\{X,X/1/1.../1/\{X,X/1/1.../1/\{...\}\text{&}X/n-1/\#\}\text{&}X/n-1/\#\}\text{&}k$$

BEAF FGH
$$\{X,X/3\}\text{&}n$$ $$\vartheta(\Omega^\Omega2)$$
$$\{X,X/4\}\text{&}n$$ $$\vartheta(\Omega^\Omega3)$$
$$\{X,X/1,2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega+1})$$
$$\{X,X/1,1,2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega+2})$$
$$\{X,X/1(1)2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega+\omega})$$
$$\{X,X/1(0,1)2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega+\omega^\omega})$$
$$\{X,X/X\uparrow\uparrow X\}\text{&}n$$ $$\vartheta(\Omega^{\Omega+\varepsilon_0})$$
$$\{X,X/1/2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega2})$$
$$\{X,X/1/3\}\text{&}n$$ $$\vartheta(\Omega^{\Omega3})$$
$$\{X,X/1/1,2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega^2})$$
$$\{X,X/1/1(1)2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega^\omega})$$
$$\{X,X/1/1/2\}\text{&}n$$ $$\vartheta(\Omega^{\Omega^\Omega})$$
$$\{X,X/1/1/1/2\}\text{&}n$$

$$\vartheta(\Omega^{\Omega^{\Omega^\Omega}})$$

$$\{X,X(/1)2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega+1})$$
$$\{X,X(/2)2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega+2})$$
$$\{X,X(/0,1)2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega+\omega})$$
$$X\uparrow\uparrow X\text{&&}n$$ $$\vartheta(\varepsilon_{\Omega+\varepsilon_0})$$
$$\{X,X//2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega2})$$
$$\{X,X//3\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega3})$$
$$\{X,X//1,2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega^2})$$
$$\{X,X//1(1)2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega^\omega})$$
$$\{X,X//1(0,1)2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega^{\omega^\omega}})$$

$$\{X,X//1/2\}\text{&}n$$

$$\vartheta(\varepsilon_{\Omega^\Omega})$$
$$\{X,X//1/1/2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega^{\Omega^\Omega}})$$
$$\{X,X//1//2\}\text{&}n$$ $$\vartheta(\varepsilon_{\varepsilon_{\Omega+1}+1})$$
$$\{X,X//1//1//2\}\text{&}n$$ $$\vartheta(\varepsilon_{\varepsilon_{\varepsilon_{\Omega+1}+1}+1})$$
$$\{X,X(//1)2\}\text{&}n$$ $$\vartheta(\zeta_{\Omega+1})$$
$$\{X,X(//2)2\}\text{&}n$$ $$\vartheta(\zeta_{\Omega+2})$$
$$\{X,X///2\}\text{&}n$$ $$\vartheta(\zeta_{\Omega2})$$

$$\{L,X\}_{n,n}$$

$$\vartheta(\varphi(\omega,\Omega2))$$

## L arrays

The second difference is that the L in the arrays, exepted for the first one, will work like $$\Omega$$

BEAF FGH
$$\{L,L\}_{n,n}$$ $$\vartheta(\varphi(\Omega,1))$$
$$\{L,L*2\}_{n,n}$$ $$\vartheta(\varphi(\Omega2,1))$$
$$\{L,L^2\}_{n,n}$$ $$\vartheta(\varphi(\Omega^2,1))$$
$$\{L,3,2\}_{n,n}$$ $$\vartheta(\varphi(\Omega^\Omega,1))$$
$$\{L,X,2\}_{n,n}$$ $$\vartheta(\varphi(\varepsilon_{\Omega+1},1))$$
$$\{L,L,2\}_{n,n}$$ $$\vartheta(\varphi(\varepsilon_{\Omega2},1))$$
$$\{L,L,3\}_{n,n}$$ $$\vartheta(\varphi(\zeta_{\Omega2},1))$$
$$\{L,L,L\}_{n,n}$$ $$\vartheta(\varphi(\varphi(\Omega,1),1))$$
$$\{L,L,1,2\}_{n,n}$$ $$\vartheta(\Omega_2)$$

$$\{L,L(1)2\}_{n,n}$$

$$\vartheta(\Omega_2^\omega)$$

## Lugions

BEAF FGH
$$\{X,X\setminus2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2})$$
$$\{X,X\setminus3\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}2)$$
$$\{X,X\setminus1,2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}\Omega)$$
$$\{X,X\setminus1(1)2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}\Omega^\omega)$$
$$\{X,X\setminus1/2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}\Omega^\Omega)$$
$$\{X,X\setminus1/1/2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}\Omega^{\Omega^\Omega})$$
$$\{X,X\setminus1(/1)2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}\varepsilon_{\Omega+1})$$
$$\{X,X \setminus 1 // 2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2}\varepsilon_{\Omega2})$$
$$\{X,X\setminus1\setminus2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2+1})$$
$$\{X,X\setminus1\setminus3\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2+2})$$
$$\{X,X\setminus1\setminus1,2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2+\Omega})$$
$$\{X,X\setminus1\setminus1\setminus2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_22})$$
$$\{X,X\setminus1\setminus1\setminus1\setminus2\}\text{&}n$$ $$\vartheta(\Omega_2^{\Omega_2^2})$$
$$\{X,X(\setminus1)2\}\text{&}n$$ $$\vartheta(\varepsilon_{\Omega_2+1})$$

L2 arrays works a bit like $$\Omega_2$$, L3 arrays works a bit like $$\Omega_3$$, etc.

## Beyond!

BEAF FGH
$$\{L2,L2,1,2\}_{n,n}$$ $$\vartheta(\Omega_3)$$
$$\{L3,L3,1,2\}_{n,n}$$ $$\vartheta(\Omega_4)$$
$$\{LX\}_{n,n}$$ $$\vartheta(\Omega_\omega)$$
$$\{[L,L]\}_{n,n}$$ $$\vartheta(\Omega_\Omega)$$
$$\{[L,L,L]\}_{n,n}$$ $$\vartheta(\Omega_{\Omega_\Omega})$$
$$\{[L,X(1)2]\}_{n,n}$$ $$\psi(\psi_I(0))$$
$$\{[L,L(1)2]\}_{n,n}$$ $$\psi(\psi_I(I))$$
$$\{[L,L,2(1)2]\}_{n,n}$$ $$\psi(\psi_I(\varepsilon_{I+1}))$$
$$\{[L,L,L(1)2]\}_{n,n}$$ $$\psi(\psi_{I_2}(0))$$
$$\{[L,L,L,L(1)2]\}_{n,n}$$ $$\psi(\psi_{I_I}(0))$$
$$\{[L,X(1)3]\}_{n,n}$$ $$\psi(\psi_{I(1)}(0))$$
$$\{[L,X(1)4]\}_{n,n}$$ $$\psi(\psi_{I(2)}(0))$$
$$\{[L,L(1)L]\}_{n,n}$$ $$\psi(\psi_{I(1,0)}(0))$$