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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} | 282188052ac-622059228bc+1227858996c2+14905800ad-257615260bd-45388
     {-2} | 282188052b2-188985006bc+347740064c2-27946170ad-99149904bd-3003250
     {-2} | 219479596ab+68407164bc+482174420c2+352458834ad+318946040bd-197657
     {-2} | 548698990a2+3023313300bc-4901174544c2+253398915ad+1286953780bd+44
     {-3} | 9332984046337373954397054506915099300c2d+698462738068689125338506
     {-3} | 27998952139012121863191163520745297900bcd+33081100444570341944881
     {-3} | 39198532994616970608467628929043417060c3+588900674981760040832773
     {-3} | 1763933984757763677381043301806953767700bc2+244474664191190985306
     {-4} | 58577934878620958090969439094063513616702337988399069211330806404
     {-4} | 29288967439310479045484719547031756808351168994199534605665403202
     {-4} | 33282917544670998915323544939808814554944510220681289324619776366
     {-5} | d5                                                               
     ------------------------------------------------------------------------
     5840cd+527338245d2                                                      
     50cd+216427365d2                                                        
     640cd-129453135d2                                                       
     81984760cd-1665591690d2                                                 
     0399809201071ad2+7307001781807760578498821070022607920bd2+44163559854659
     007933176250113ad2+35796212949396733314181019943379344260bd2+34148770694
     99507725016376ad2+73404069477928266584711680401701633270bd2+138978338823
     6355082860297955584ad2+2620996071469513920561229125390881209430bd2+23258
     566384cd3+28291121193980823565177863198694393618632784697026827342439841
     283192bd3-74569300611217597444462570560792078025461118045961893073241257
     2309ad3+6137196156044398666469128873425272012050422389043029034349904320
                                                                             
     ------------------------------------------------------------------------
                                                                             
                                                                             
                                                                             
                                                                             
     46155349497721842913920cd2+1908996232804244325983085367566741775d3      
     459567460189401676351769760cd2-5046985251216194565457378542811102550d3  
     197062501418578430046599995cd2+13400742009096326236125431874228152525d3 
     99676161356254406762635369256295930cd2+618581597760291058188887959581695
     781036251d4                                                             
     760882147d4                                                             
     14710d4                                                                 
                                                                             
     ------------------------------------------------------------------------
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     083225d3 |
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             12       1
o2 : Matrix R   <--- R