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Macaulay2Doc :: groebnerBasis

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} | 2739087ac-355466bc-1295994c2-1519ad-528472bd+439005cd-966014d2   
     {-2} | 10956348b2-12831920bc+45405465c2+7057610ad+45590300bd+7355586cd+2
     {-2} | 1826058ab+3589694bc-2674428c2+2529628ad-6511628bd-27273cd-3244798
     {-2} | 2739087a2+1627604bc+870087c2-966527ad+2879572bd-102153cd+2288522d
     {-3} | 1401264050215216681324895115c2d-417390425309574885425358135ad2+40
     {-3} | 934176033476811120883263410bcd+639164864461962874657996000ad2-119
     {-3} | 44840449606886933802396643680c3-48055922633031587395701926365ad2+
     {-3} | 89680899213773867604793287360bc2+10187405710205725705146637035ad2
     {-4} | 78475113404780137663012846422618396493581199935569cd3-33901600899
     {-4} | 235425340214340412989038539267855189480743599806707bd3+1658226491
     {-4} | 78475113404780137663012846422618396493581199935569ad3+25139461358
     {-5} | d5                                                               
     ------------------------------------------------------------------------
                                                                             
     3897440d2                                                               
     d2                                                                      
     2                                                                       
     84189783061548477622651948bd2+1878045787076793318210104769cd2+1907787912
     2237312630751307075736708bd2+374912912655417172128707991cd2-648077603162
     134619499287059806662509816148bd2+50488490747293978707044795744cd2+62382
     +58941723656316127658244741172bd2+62042895282383373079617314976cd2+18222
     596168215037198345752290391782848282223d4                               
     33905737183865091810068416470958396878923d4                             
     731189069194660085032230722329683956944d4                               
                                                                             
     ------------------------------------------------------------------------
                                |
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     907539145460075554d3       |
     203460383510154d3          |
     427794501636515712706724d3 |
     441645409333844373775876d3 |
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             12       1
o2 : Matrix R   <--- R