C4graphConstructions for C4[ 490, 4 ] = {4,4}_[35,7]

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On this page are all constructions for C4[ 490, 4 ]. See Glossary for some detail.

{4, 4}_[ 35, 7] = PS( 70, 7; 1) = PS( 35, 14; 1)

      = PS( 70, 14; 1) = PS( 14, 35; 1) = PS( 7, 70; 1)

      = PS( 14, 70; 1) = UG(ATD[490, 4]) = UG(ATD[490, 5])

      = UG(ATD[490, 6]) = MG(Rmap(490, 8) { 14, 70| 14}_ 70) = DG(Rmap(490, 8) { 14, 70| 14}_ 70)

      = MG(Rmap(490, 10) { 14, 70| 2}_ 70) = DG(Rmap(490, 10) { 14, 70| 2}_ 70) = DG(Rmap(490, 12) { 70, 14| 2}_ 70)

      = DG(Rmap(490, 13) { 70, 14| 14}_ 70) = DG(Rmap(245, 5) { 14, 35| 14}_ 70) = XI(Rmap(245, 6) { 35, 14| 14}_ 70)

      = XI(Rmap(245, 17) { 14, 70| 2}_ 35) = B({4, 4}_< 21, 14>) = BGCG({4, 4}_< 21, 14>; K1;1)

      = AT[490, 6]

Cyclic coverings

mod 70:
1234567
1 - 0 46 - - - - 0 46
2 0 24 - 0 46 - - - -
3 - 0 24 - 0 46 - - -
4 - - 0 24 - 0 46 - -
5 - - - 0 24 - 0 46 -
6 - - - - 0 24 - 1 25
7 0 24 - - - - 45 69 -

mod 70:
1234567
1 - 0 50 - - - - 0 20
2 0 20 - 0 50 - - - -
3 - 0 20 - 0 50 - - -
4 - - 0 20 - 0 50 - -
5 - - - 0 20 - 0 50 -
6 - - - - 0 20 - 1 21
7 0 50 - - - - 49 69 -

mod 70:
1234567
1 1 69 0 2 - - - - -
2 0 68 - 0 2 - - - -
3 - 0 68 - 0 2 - - -
4 - - 0 68 - 0 2 - -
5 - - - 0 68 - 0 2 -
6 - - - - 0 68 - 0 2
7 - - - - - 0 68 1 69

mod 70:
1234567
1 - 0 0 - - 0 0
2 0 - 1 0 - - 1
3 0 69 - 0 69 - -
4 - 0 0 - 0 46 -
5 - - 1 0 - 47 47
6 0 - - 24 23 - 1
7 0 69 - - 23 69 -

mod 70:
1234567
1 1 69 0 - - - - 0
2 0 1 69 0 - - - -
3 - 0 1 69 0 - - -
4 - - 0 1 69 0 - -
5 - - - 0 1 69 0 -
6 - - - - 0 1 69 63
7 0 - - - - 7 1 69

mod 70:
1234567
1 - 0 0 - - 0 0
2 0 - 1 0 - - 1
3 0 69 - 0 69 - -
4 - 0 0 - 0 4 -
5 - - 1 0 - 5 5
6 0 - - 66 65 - 1
7 0 69 - - 65 69 -