-- -*- M2-comint -*- hash: 9532311864988691335

i1 : G = graph({{a,b},{b,c},{c,d},{a,d}})

o1 = Graph{a => {b, d}}
           b => {a, c}
           c => {b, d}
           d => {a, c}

o1 : Graph

i2 : R = gaussianRing G

o2 = R

o2 : PolynomialRing

i3 : J = gaussianVanishingIdeal(R);

o3 : Ideal of R

i4 : ideal mingens J / print;
                    2
s   s   s    - s   s    - s   s   s    + s   s   s    + s   s   s    - s   s   s
 a,d b,c b,d    a,c b,d    a,d b,b c,d    a,b b,d c,d    a,c b,b d,d    a,b b,c d,d
                2
s   s   s    - s   s    - s   s   s    + s   s   s    + s   s   s    - s   s   s
 a,c a,d b,c    a,c b,d    a,b a,d c,c    a,a b,d c,c    a,b a,c c,d    a,a b,c c,d

i5 : G = digraph {{a,{b,c}}, {b,{c,d}}, {c,{}}, {d,{}}}

o5 = Digraph{a => {c, b}}
             b => {c, d}
             c => {}
             d => {}

o5 : Digraph

i6 : R = gaussianRing G

o6 = R

o6 : PolynomialRing

i7 : gaussianVanishingIdeal(R)

o7 = ideal (s   s    - s   s   , s   s    - s   s   , s   s    - s   s   )
             b,c b,d    b,b c,d   a,d b,c    a,b c,d   a,d b,b    a,b b,d

o7 : Ideal of R

i8 : H = mixedGraph(digraph {{a,{c}},{b,{c}}, {c,{d}}},bigraph {{c,d}})

o8 = MixedGraph{Bigraph => Bigraph{c => {d}}}
                                   d => {c}
                Digraph => Digraph{a => {c}}
                                   b => {c}
                                   c => {d}
                                   d => {}
                Graph => Graph{}

o8 : MixedGraph

i9 : S = gaussianRing H

o9 = R

o9 : PolynomialRing

i10 : gaussianVanishingIdeal(S)

o10 = ideal (s   s    - s   s   , s   s    - s   s   , s   s    - s   s   )
              b,c b,d    b,b c,d   a,d b,c    a,b c,d   a,d b,b    a,b b,d

o10 : Ideal of R

i11 : 
