+/* lst_to_clifford() and clifford_inverse() check*/
+ realsymbol s("s"), t("t"), x("x"), y("y"), z("z");
+
+ ex c = clifford_unit(nu, A, 1);
+ e = lst_to_clifford(lst{t, x, y, z}, mu, A, 1) * lst_to_clifford(lst{1, 2, 3, 4}, c);
+ e1 = clifford_inverse(e);
+ result += check_equal_simplify_term2((e*e1).simplify_indexed(), dirac_ONE(1));
+
+/* lst_to_clifford() and clifford_to_lst() check for vectors*/
+ e = lst{t, x, y, z};
+ result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, false), e);
+ result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e);
+
+/* lst_to_clifford() and clifford_to_lst() check for pseudovectors*/
+ e = lst{s, t, x, y, z};
+ result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, false), e);
+ result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e);
+
+/* Moebius map (both forms) checks for symmetric metrics only */
+ c = clifford_unit(nu, A);
+
+ e = clifford_moebius_map(0, dirac_ONE(),
+ dirac_ONE(), 0, lst{t, x, y, z}, A);
+/* this is just the inversion*/
+ matrix M1 = {{0, dirac_ONE()},
+ {dirac_ONE(), 0}};
+ e1 = clifford_moebius_map(M1, lst{t, x, y, z}, A);
+/* the inversion again*/
+ result += check_equal_lst(e, e1);
+
+ e1 = clifford_to_lst(clifford_inverse(lst_to_clifford(lst{t, x, y, z}, mu, A)), c);
+ result += check_equal_lst(e, e1);
+
+ e = clifford_moebius_map(dirac_ONE(), lst_to_clifford(lst{1, 2, 3, 4}, nu, A),
+ 0, dirac_ONE(), lst{t, x, y, z}, A);
+/*this is just a shift*/
+ matrix M2 = {{dirac_ONE(), lst_to_clifford(lst{1, 2, 3, 4}, c),},
+ {0, dirac_ONE()}};
+ e1 = clifford_moebius_map(M2, lst{t, x, y, z}, c);
+/* the same shift*/
+ result += check_equal_lst(e, e1);
+
+ result += check_equal(e, lst{t+1, x+2, y+3, z+4});
+
+/* Check the group law for Moebius maps */
+ e = clifford_moebius_map(M1, ex_to<lst>(e1), c);
+/*composition of M1 and M2*/
+ e1 = clifford_moebius_map(M1.mul(M2), lst{t, x, y, z}, c);
+/* the product M1*M2*/
+ result += check_equal_lst(e, e1);