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Transpose -- Transpose => false, default option for picture

Synopsis

Description

With the option Transpose => true, picture prints the picture of the transposed matrix; when the matrix has many more columns than rows this makes it easier to read.

i1 : S = ZZ/101[a,b]

o1 = S

o1 : PolynomialRing
i2 : R = S/ideal"a2,b2"

o2 = R

o2 : QuotientRing
i3 : E = eagon(R,3)

o3 = EagonData in <ring>.cache computed to length 3

o3 : EagonData
i4 : picture res E

     +----------------------------+
     |+-------+-------+           |
o4 = ||       |(1, {})|           |
     |+-------+-------+           |
     ||(0, {})|   *   |           |
     |+-------+-------+           |
     +----------------------------+
     |+-------+-------+--------+  |
     ||       |(2, {})|(0, {1})|  |
     |+-------+-------+--------+  |
     ||(1, {})|   *   |    *   |  |
     |+-------+-------+--------+  |
     +----------------------------+
     |+--------+--------+--------+|
     ||        |(0, {2})|(1, {1})||
     |+--------+--------+--------+|
     || (2, {})|    *   |    *   ||
     |+--------+--------+--------+|
     ||(0, {1})|    .   |    *   ||
     |+--------+--------+--------+|
     +----------------------------+
i5 : picture(res E, Transpose => true)

     +---------------------------+
     |+-------+-------+          |
o5 = ||       |(0, {})|          |
     |+-------+-------+          |
     ||(1, {})|   *   |          |
     |+-------+-------+          |
     +---------------------------+
     |+--------+-------+         |
     ||        |(1, {})|         |
     |+--------+-------+         |
     || (2, {})|   *   |         |
     |+--------+-------+         |
     ||(0, {1})|   *   |         |
     |+--------+-------+         |
     +---------------------------+
     |+--------+-------+--------+|
     ||        |(2, {})|(0, {1})||
     |+--------+-------+--------+|
     ||(0, {2})|   *   |    .   ||
     |+--------+-------+--------+|
     ||(1, {1})|   *   |    *   ||
     |+--------+-------+--------+|
     +---------------------------+

See also

Functions with optional argument named Transpose:

For the programmer

The object Transpose is a symbol.