[STATEMENT]
lemma cross7_not_Jacobi:
   " \<not> (\<forall> (c::real^7) (a::real^7) ( b::real^7) . (c \<times>\<^sub>7 a ) \<times>\<^sub>7 b +   (b \<times>\<^sub>7 c) \<times>\<^sub>7 a
+  (a \<times>\<^sub>7 b ) \<times>\<^sub>7 c =0     ) "
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. \<not> (\<forall>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c = 0)
[PROOF STEP]
proof-
[PROOF STATE]
proof (state)
goal (1 subgoal):
 1. \<not> (\<forall>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c = 0)
[PROOF STEP]
have *: " \<exists> (c::real^7) (a::real^7) ( b::real^7) . (c \<times>\<^sub>7 a ) \<times>\<^sub>7 b +   (b \<times>\<^sub>7 c) \<times>\<^sub>7 a
+  (a \<times>\<^sub>7 b ) \<times>\<^sub>7 c \<noteq>0      "
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
proof-
[PROOF STATE]
proof (state)
goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
define  f::"real^7"  where " f= vector[ 0, 0, 0, 0, 0, 1, 1 ] "
[PROOF STATE]
proof (state)
this:
f = vector [0, 0, 0, 0, 0, 1, 1]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
define  g::"real^7"  where " g= vector[ 0, 0, 0, 1, 0, 0, 0 ] "
[PROOF STATE]
proof (state)
this:
g = vector [0, 0, 0, 1, 0, 0, 0]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
define  h::"real^7" where " h= vector[ 1, 0, 1, 0, 0, 0, 0 ] "
[PROOF STATE]
proof (state)
this:
h = vector [1, 0, 1, 0, 0, 0, 0]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
define u where " u= (g \<times>\<^sub>7 h) "
[PROOF STATE]
proof (state)
this:
u = g \<times>\<^sub>7 h

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
define v where " v= (f \<times>\<^sub>7 g) "
[PROOF STATE]
proof (state)
this:
v = f \<times>\<^sub>7 g

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
define w where " w = (h \<times>\<^sub>7 f)  "
[PROOF STATE]
proof (state)
this:
w = h \<times>\<^sub>7 f

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have 1:" u  = vector[0, 1, 0, 0, 0, -1, 0]"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. u = vector [0, 1, 0, 0, 0, - 1, 0]
[PROOF STEP]
unfolding cross7_def g_def h_def f_def u_def
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. vector [vector [0, 0, 0, 1, 0, 0, 0] $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - vector [0, 0, 0, 1, 0, 0, 0] $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 + vector [0, 0, 0, 1, 0, 0, 0] $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - vector [0, 0, 0, 1, 0, 0, 0] $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 + vector [0, 0, 0, 1, 0, 0, 0] $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - vector [0, 0, 0, 1, 0, 0, 0] $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 5, vector [0, 0, 0, 1, 0, 0, 0] $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - vector [0, 0, 0, 1, 0, 0, 0] $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 + vector [0, 0, 0, 1, 0, 0, 0] $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - vector [0, 0, 0, 1, 0, 0, 0] $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 + vector [0, 0, 0, 1, 0, 0, 0] $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - vector [0, 0, 0, 1, 0, 0, 0] $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 6, vector [0, 0, 0, 1, 0, 0, 0] $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - vector [0, 0, 0, 1, 0, 0, 0] $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 + vector [0, 0, 0, 1, 0, 0, 0] $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - vector [0, 0, 0, 1, 0, 0, 0] $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 + vector [0, 0, 0, 1, 0, 0, 0] $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - vector [0, 0, 0, 1, 0, 0, 0] $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 7, vector [0, 0, 0, 1, 0, 0, 0] $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - vector [0, 0, 0, 1, 0, 0, 0] $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 + vector [0, 0, 0, 1, 0, 0, 0] $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - vector [0, 0, 0, 1, 0, 0, 0] $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 + vector [0, 0, 0, 1, 0, 0, 0] $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - vector [0, 0, 0, 1, 0, 0, 0] $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 1, vector [0, 0, 0, 1, 0, 0, 0] $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - vector [0, 0, 0, 1, 0, 0, 0] $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 + vector [0, 0, 0, 1, 0, 0, 0] $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - vector [0, 0, 0, 1, 0, 0, 0] $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 + vector [0, 0, 0, 1, 0, 0, 0] $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - vector [0, 0, 0, 1, 0, 0, 0] $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 2, vector [0, 0, 0, 1, 0, 0, 0] $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - vector [0, 0, 0, 1, 0, 0, 0] $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 + vector [0, 0, 0, 1, 0, 0, 0] $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - vector [0, 0, 0, 1, 0, 0, 0] $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 + vector [0, 0, 0, 1, 0, 0, 0] $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - vector [0, 0, 0, 1, 0, 0, 0] $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 3, vector [0, 0, 0, 1, 0, 0, 0] $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - vector [0, 0, 0, 1, 0, 0, 0] $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 + vector [0, 0, 0, 1, 0, 0, 0] $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - vector [0, 0, 0, 1, 0, 0, 0] $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 + vector [0, 0, 0, 1, 0, 0, 0] $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - vector [0, 0, 0, 1, 0, 0, 0] $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 4] = vector [0, 1, 0, 0, 0, - 1, 0]
[PROOF STEP]
by simp
[PROOF STATE]
proof (state)
this:
u = vector [0, 1, 0, 0, 0, - 1, 0]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have 3:" u \<times>\<^sub>7 f = vector[0,- 1, 0, 0, 0,- 1, 1 ] "
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. u \<times>\<^sub>7 f = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
unfolding cross7_def f_def
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. vector [u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
using 1
[PROOF STATE]
proof (prove)
using this:
u = vector [0, 1, 0, 0, 0, - 1, 0]

goal (1 subgoal):
 1. vector [u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, u $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, u $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - u $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + u $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - u $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + u $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - u $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
by simp
[PROOF STATE]
proof (state)
this:
u \<times>\<^sub>7 f = vector [0, - 1, 0, 0, 0, - 1, 1]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have 2:" v  = vector[0, 0, -1, 0, 1, 0, 0]"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. v = vector [0, 0, - 1, 0, 1, 0, 0]
[PROOF STEP]
unfolding cross7_def g_def h_def f_def v_def
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. vector [vector [0, 0, 0, 0, 0, 1, 1] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 - vector [0, 0, 0, 0, 0, 1, 1] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 + vector [0, 0, 0, 0, 0, 1, 1] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 - vector [0, 0, 0, 0, 0, 1, 1] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 + vector [0, 0, 0, 0, 0, 1, 1] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 - vector [0, 0, 0, 0, 0, 1, 1] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 5, vector [0, 0, 0, 0, 0, 1, 1] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 - vector [0, 0, 0, 0, 0, 1, 1] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 + vector [0, 0, 0, 0, 0, 1, 1] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 - vector [0, 0, 0, 0, 0, 1, 1] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 + vector [0, 0, 0, 0, 0, 1, 1] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 - vector [0, 0, 0, 0, 0, 1, 1] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 6, vector [0, 0, 0, 0, 0, 1, 1] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 - vector [0, 0, 0, 0, 0, 1, 1] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 + vector [0, 0, 0, 0, 0, 1, 1] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 - vector [0, 0, 0, 0, 0, 1, 1] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 + vector [0, 0, 0, 0, 0, 1, 1] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 - vector [0, 0, 0, 0, 0, 1, 1] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 7, vector [0, 0, 0, 0, 0, 1, 1] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 - vector [0, 0, 0, 0, 0, 1, 1] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 + vector [0, 0, 0, 0, 0, 1, 1] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 - vector [0, 0, 0, 0, 0, 1, 1] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 + vector [0, 0, 0, 0, 0, 1, 1] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 - vector [0, 0, 0, 0, 0, 1, 1] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 1, vector [0, 0, 0, 0, 0, 1, 1] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 - vector [0, 0, 0, 0, 0, 1, 1] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 + vector [0, 0, 0, 0, 0, 1, 1] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 - vector [0, 0, 0, 0, 0, 1, 1] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 + vector [0, 0, 0, 0, 0, 1, 1] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 - vector [0, 0, 0, 0, 0, 1, 1] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 2, vector [0, 0, 0, 0, 0, 1, 1] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 - vector [0, 0, 0, 0, 0, 1, 1] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 + vector [0, 0, 0, 0, 0, 1, 1] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 - vector [0, 0, 0, 0, 0, 1, 1] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 + vector [0, 0, 0, 0, 0, 1, 1] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 - vector [0, 0, 0, 0, 0, 1, 1] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 3, vector [0, 0, 0, 0, 0, 1, 1] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 - vector [0, 0, 0, 0, 0, 1, 1] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 + vector [0, 0, 0, 0, 0, 1, 1] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 - vector [0, 0, 0, 0, 0, 1, 1] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 + vector [0, 0, 0, 0, 0, 1, 1] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 - vector [0, 0, 0, 0, 0, 1, 1] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 4] = vector [0, 0, - 1, 0, 1, 0, 0]
[PROOF STEP]
by simp
[PROOF STATE]
proof (state)
this:
v = vector [0, 0, - 1, 0, 1, 0, 0]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have  4:"  v \<times>\<^sub>7 h = vector[0, -1, 0, 0, 0, -1, 1 ] "
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. v \<times>\<^sub>7 h = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
unfolding cross7_def h_def
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. vector [v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 + v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 + v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 5, v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 + v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 + v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 6, v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 + v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 + v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 7, v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 + v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 + v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 1, v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 + v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 + v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 2, v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 + v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 + v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 3, v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 + v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 + v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 4] = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
using 2
[PROOF STATE]
proof (prove)
using this:
v = vector [0, 0, - 1, 0, 1, 0, 0]

goal (1 subgoal):
 1. vector [v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 + v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 + v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 5, v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 + v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 + v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 6, v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 + v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 + v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 7, v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 - v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 + v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 + v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 1, v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 - v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 + v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 + v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 2, v $ 7 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 - v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 7 + v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 + v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 4 - v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 3, v $ 1 * vector [1, 0, 1, 0, 0, 0, 0] $ 3 - v $ 3 * vector [1, 0, 1, 0, 0, 0, 0] $ 1 + v $ 2 * vector [1, 0, 1, 0, 0, 0, 0] $ 6 - v $ 6 * vector [1, 0, 1, 0, 0, 0, 0] $ 2 + v $ 4 * vector [1, 0, 1, 0, 0, 0, 0] $ 5 - v $ 5 * vector [1, 0, 1, 0, 0, 0, 0] $ 4] = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
by simp
[PROOF STATE]
proof (state)
this:
v \<times>\<^sub>7 h = vector [0, - 1, 0, 0, 0, - 1, 1]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have 8: " w  = vector[1, 0, -1, -1, -1, 0, 0]"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. w = vector [1, 0, - 1, - 1, - 1, 0, 0]
[PROOF STEP]
unfolding cross7_def  h_def f_def w_def
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] = vector [1, 0, - 1, - 1, - 1, 0, 0]
[PROOF STEP]
by simp
[PROOF STATE]
proof (state)
this:
w = vector [1, 0, - 1, - 1, - 1, 0, 0]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have 9: "  w \<times>\<^sub>7 g  = vector[0, -1, 0, 0, 0, -1, 1]"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. w \<times>\<^sub>7 g = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
unfolding cross7_def  h_def f_def w_def g_def
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. vector [vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 5, vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 6, vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 7, vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 1, vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 2, vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 7 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 7 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 4 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 3, vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 1 * vector [0, 0, 0, 1, 0, 0, 0] $ 3 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 3 * vector [0, 0, 0, 1, 0, 0, 0] $ 1 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 2 * vector [0, 0, 0, 1, 0, 0, 0] $ 6 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 6 * vector [0, 0, 0, 1, 0, 0, 0] $ 2 + vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 4 * vector [0, 0, 0, 1, 0, 0, 0] $ 5 - vector [vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 5, vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 6, vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 + vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 7, vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 - vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 + vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 1, vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 - vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 + vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 2, vector [1, 0, 1, 0, 0, 0, 0] $ 7 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 - vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 7 + vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 4 - vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 3, vector [1, 0, 1, 0, 0, 0, 0] $ 1 * vector [0, 0, 0, 0, 0, 1, 1] $ 3 - vector [1, 0, 1, 0, 0, 0, 0] $ 3 * vector [0, 0, 0, 0, 0, 1, 1] $ 1 + vector [1, 0, 1, 0, 0, 0, 0] $ 2 * vector [0, 0, 0, 0, 0, 1, 1] $ 6 - vector [1, 0, 1, 0, 0, 0, 0] $ 6 * vector [0, 0, 0, 0, 0, 1, 1] $ 2 + vector [1, 0, 1, 0, 0, 0, 0] $ 4 * vector [0, 0, 0, 0, 0, 1, 1] $ 5 - vector [1, 0, 1, 0, 0, 0, 0] $ 5 * vector [0, 0, 0, 0, 0, 1, 1] $ 4] $ 5 * vector [0, 0, 0, 1, 0, 0, 0] $ 4] = vector [0, - 1, 0, 0, 0, - 1, 1]
[PROOF STEP]
apply simp
[PROOF STATE]
proof (prove)
goal:
No subgoals!
[PROOF STEP]
done
[PROOF STATE]
proof (state)
this:
w \<times>\<^sub>7 g = vector [0, - 1, 0, 0, 0, - 1, 1]

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have &: "(u \<times>\<^sub>7 f)$2+( v \<times>\<^sub>7 h) $2+( w \<times>\<^sub>7 g) $2 =-3"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. (u \<times>\<^sub>7 f) $ 2 + (v \<times>\<^sub>7 h) $ 2 + (w \<times>\<^sub>7 g) $ 2 = - 3
[PROOF STEP]
using 3 4 9
[PROOF STATE]
proof (prove)
using this:
u \<times>\<^sub>7 f = vector [0, - 1, 0, 0, 0, - 1, 1]
v \<times>\<^sub>7 h = vector [0, - 1, 0, 0, 0, - 1, 1]
w \<times>\<^sub>7 g = vector [0, - 1, 0, 0, 0, - 1, 1]

goal (1 subgoal):
 1. (u \<times>\<^sub>7 f) $ 2 + (v \<times>\<^sub>7 h) $ 2 + (w \<times>\<^sub>7 g) $ 2 = - 3
[PROOF STEP]
by simp
[PROOF STATE]
proof (state)
this:
(u \<times>\<^sub>7 f) $ 2 + (v \<times>\<^sub>7 h) $ 2 + (w \<times>\<^sub>7 g) $ 2 = - 3

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
have &&: " u \<times>\<^sub>7 f + v \<times>\<^sub>7 h +  w \<times>\<^sub>7 g \<noteq> 0 "
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. u \<times>\<^sub>7 f + v \<times>\<^sub>7 h + w \<times>\<^sub>7 g \<noteq> 0
[PROOF STEP]
using &
[PROOF STATE]
proof (prove)
using this:
(u \<times>\<^sub>7 f) $ 2 + (v \<times>\<^sub>7 h) $ 2 + (w \<times>\<^sub>7 g) $ 2 = - 3

goal (1 subgoal):
 1. u \<times>\<^sub>7 f + v \<times>\<^sub>7 h + w \<times>\<^sub>7 g \<noteq> 0
[PROOF STEP]
by (metis vector_add_component zero_index zero_neq_neg_numeral)
[PROOF STATE]
proof (state)
this:
u \<times>\<^sub>7 f + v \<times>\<^sub>7 h + w \<times>\<^sub>7 g \<noteq> 0

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
show ?thesis
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
using && u_def v_def w_def
[PROOF STATE]
proof (prove)
using this:
u \<times>\<^sub>7 f + v \<times>\<^sub>7 h + w \<times>\<^sub>7 g \<noteq> 0
u = g \<times>\<^sub>7 h
v = f \<times>\<^sub>7 g
w = h \<times>\<^sub>7 f

goal (1 subgoal):
 1. \<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0
[PROOF STEP]
by blast
[PROOF STATE]
proof (state)
this:
\<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0

goal:
No subgoals!
[PROOF STEP]
qed
[PROOF STATE]
proof (state)
this:
\<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0

goal (1 subgoal):
 1. \<not> (\<forall>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c = 0)
[PROOF STEP]
show ?thesis
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. \<not> (\<forall>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c = 0)
[PROOF STEP]
using *
[PROOF STATE]
proof (prove)
using this:
\<exists>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c \<noteq> 0

goal (1 subgoal):
 1. \<not> (\<forall>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c = 0)
[PROOF STEP]
by blast
[PROOF STATE]
proof (state)
this:
\<not> (\<forall>c a b. (c \<times>\<^sub>7 a) \<times>\<^sub>7 b + (b \<times>\<^sub>7 c) \<times>\<^sub>7 a + (a \<times>\<^sub>7 b) \<times>\<^sub>7 c = 0)

goal:
No subgoals!
[PROOF STEP]
qed