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groebnerBasis -- Gröbner basis, as a matrix

Synopsis

Description

i1 : R = QQ[a..d]

o1 = R

o1 : PolynomialRing
i2 : transpose groebnerBasis random(R^1,R^{4:-2})

o2 = {-2} | 2065609105ac-186619314bc-38940552c2+46672668ad-41871420bd+8730229
     {-2} | 1239365463b2+929819205bc+260310036c2+111031998ad+1756540460bd+413
     {-2} | 2065609105ab-551685176bc+216690852c2+394225916ad-58324920bd-10999
     {-2} | 590174030a2+237610359bc+248379726c2+251653038ad-89502930bd+723893
     {-3} | 465966923716110206605319206575144959c2d-2126967843827186669925986
     {-3} | 66566703388015743800759886653592137bcd+61917782368150398738547680
     {-3} | 13979007711483306198159576197254348770c3+104728214016966074343832
     {-3} | 2329834618580551033026596032875724795bc2+184577663423704100768562
     {-4} | 10826966075556627126883422229427025684106046067924069554272311904
     {-4} | 10826966075556627126883422229427025684106046067924069554272311904
     {-4} | 10826966075556627126883422229427025684106046067924069554272311904
     {-5} | d5                                                               
     ------------------------------------------------------------------------
     2cd+179869256d2                                                         
     159166cd+1407402633d2                                                   
     1280cd-330965880d2                                                      
     04cd+33867267d2                                                         
     768760447281ad2-317347650624124611753367791541536355bd2+1663370547547088
     656822137ad2-24327010791294550329418058002145750bd2+10577568614557230086
     49041046411458ad2-7025604604402854706757675757281348775bd2+7114684931361
     1146517826836ad2+1471284473161942528730518308565385625bd2-22100118768703
     679cd3+10021619914124932937707632045872111817791946731341341261283076476
     679bd3+34085696068771121129796191693364338618153362507701654881299233758
     679ad3-18183013260083746637077779366687044843915073680178369251455850706
                                                                             
     ------------------------------------------------------------------------
                                                                         |
                                                                         |
                                                                         |
                                                                         |
     30755504975073077930cd2-212570923025855118320728899864838370d3      |
     4921633438982740cd2-40602502528769491529081085265241535d3           |
     791888207775935080918314cd2-7968833487351617271192970852330525998d3 |
     7554339110414559074327cd2+1141879340666103863781791511691326824d3   |
     06d4                                                                |
     136d4                                                               |
     72d4                                                                |
                                                                         |

             12       1
o2 : Matrix R   <--- R