Magma V2.19-8 Wed Aug 21 2013 00:02:17 on localhost [Seed = 2312101978] Type ? for help. Type -D to quit. Loading file "K13n1679__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1679 geometric_solution 11.79524199 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862686068991 0.772696362175 0 5 5 6 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862686068991 0.772696362175 4 0 8 7 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789633269625 0.496515119179 9 10 6 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281420808696 0.448153057797 2 9 0 11 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507916925338 0.541968312072 1 1 11 10 2031 0132 2031 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356822127315 0.576085809565 9 7 1 3 2103 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275572422318 1.608222177866 12 11 2 6 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.237830654728 1.457424252936 10 9 10 2 0321 0321 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 0 0 1 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379588821360 0.688382298516 3 4 6 8 0132 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680398273142 0.715248561825 8 3 5 8 0321 0132 1230 1302 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -5 0 -1 6 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385736723210 1.113963169030 12 7 4 5 3201 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652657589027 0.762588407183 7 12 12 11 0132 3201 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.468306794147 0.549281205714 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_8'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_8' : negation(d['c_1001_3']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_8']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 70699106791132805755/589041990284380368567*c_1001_3^9 - 90938149540463505041/1178083980568760737134*c_1001_3^8 - 693304140822102426142/589041990284380368567*c_1001_3^7 + 122110820261513052383/196347330094793456189*c_1001_3^6 - 1419502049422025837273/196347330094793456189*c_1001_3^5 + 5324394313406459439755/589041990284380368567*c_1001_3^4 - 24437109904898666702489/1178083980568760737134*c_1001_3^3 + 24199720539609491768468/589041990284380368567*c_1001_3^2 - 5444505373653344473741/90621844659135441318*c_1001_3 + 7656663136475249210371/196347330094793456189, c_0011_0 - 1, c_0011_10 - 5647816219/1269808865533*c_1001_3^9 - 15857749500/1269808865533*c_1001_3^8 - 77001499990/1269808865533*c_1001_3^7 - 117230300615/1269808865533*c_1001_3^6 - 457860112610/1269808865533*c_1001_3^5 - 422833497302/1269808865533*c_1001_3^4 - 1075437645369/1269808865533*c_1001_3^3 - 61488762923/1269808865533*c_1001_3^2 - 34763571472/97677605041*c_1001_3 - 1018044089903/1269808865533, c_0011_11 - 3227233098/1269808865533*c_1001_3^9 + 3420413978/1269808865533*c_1001_3^8 - 2230300536/1269808865533*c_1001_3^7 + 71908582529/1269808865533*c_1001_3^6 + 34549246118/1269808865533*c_1001_3^5 + 410060341854/1269808865533*c_1001_3^4 + 382345762022/1269808865533*c_1001_3^3 + 666949028916/1269808865533*c_1001_3^2 + 53343191768/97677605041*c_1001_3 + 292703311514/1269808865533, c_0011_6 - 5811176871/1269808865533*c_1001_3^9 - 7876016507/1269808865533*c_1001_3^8 - 60964618948/1269808865533*c_1001_3^7 - 32334502290/1269808865533*c_1001_3^6 - 398963856724/1269808865533*c_1001_3^5 + 678650939/1269808865533*c_1001_3^4 - 1025999031729/1269808865533*c_1001_3^3 + 578782743289/1269808865533*c_1001_3^2 - 124529578494/97677605041*c_1001_3 + 277575458918/1269808865533, c_0011_8 - 12566204/97677605041*c_1001_3^9 + 613979461/97677605041*c_1001_3^8 + 1233606234/97677605041*c_1001_3^7 + 6530446025/97677605041*c_1001_3^6 + 4530481222/97677605041*c_1001_3^5 + 32577857557/97677605041*c_1001_3^4 + 3802970280/97677605041*c_1001_3^3 + 49251654324/97677605041*c_1001_3^2 - 89766007022/97677605041*c_1001_3 + 99663042217/97677605041, c_0101_0 - 789864/269655737*c_1001_3^9 - 970979/269655737*c_1001_3^8 - 7654173/269655737*c_1001_3^7 + 1882692/269655737*c_1001_3^6 - 39949050/269655737*c_1001_3^5 + 47244708/269655737*c_1001_3^4 - 83480139/269655737*c_1001_3^3 + 305786723/269655737*c_1001_3^2 - 18984591/20742749*c_1001_3 + 211749770/269655737, c_0101_10 + 1, c_0101_11 - 446015920/1269808865533*c_1001_3^9 + 6968559647/1269808865533*c_1001_3^8 + 21271967914/1269808865533*c_1001_3^7 + 79701393514/1269808865533*c_1001_3^6 + 188105698084/1269808865533*c_1001_3^5 + 381682219955/1269808865533*c_1001_3^4 + 471609017056/1269808865533*c_1001_3^3 + 309842929286/1269808865533*c_1001_3^2 + 23993455118/97677605041*c_1001_3 + 146553424129/1269808865533, c_0101_12 - 842647486/1269808865533*c_1001_3^9 + 992450968/1269808865533*c_1001_3^8 - 13413005330/1269808865533*c_1001_3^7 - 14900411718/1269808865533*c_1001_3^6 - 110461464034/1269808865533*c_1001_3^5 - 15858693628/1269808865533*c_1001_3^4 - 357414367090/1269808865533*c_1001_3^3 - 761363080201/1269808865533*c_1001_3^2 - 8028330484/97677605041*c_1001_3 - 499172055916/1269808865533, c_0101_5 - 4562117062/1269808865533*c_1001_3^9 - 3579889143/1269808865533*c_1001_3^8 - 49456505987/1269808865533*c_1001_3^7 - 6034815090/1269808865533*c_1001_3^6 - 298581540484/1269808865533*c_1001_3^5 + 206616636344/1269808865533*c_1001_3^4 - 750522341641/1269808865533*c_1001_3^3 + 678586598406/1269808865533*c_1001_3^2 - 97426769503/97677605041*c_1001_3 + 497957611014/1269808865533, c_1001_0 + 789864/269655737*c_1001_3^9 + 970979/269655737*c_1001_3^8 + 7654173/269655737*c_1001_3^7 - 1882692/269655737*c_1001_3^6 + 39949050/269655737*c_1001_3^5 - 47244708/269655737*c_1001_3^4 + 83480139/269655737*c_1001_3^3 - 305786723/269655737*c_1001_3^2 + 18984591/20742749*c_1001_3 - 211749770/269655737, c_1001_2 - 4588984721/1269808865533*c_1001_3^9 - 13588229407/1269808865533*c_1001_3^8 - 50812625492/1269808865533*c_1001_3^7 - 80830704674/1269808865533*c_1001_3^6 - 238986006135/1269808865533*c_1001_3^5 - 308996811616/1269808865533*c_1001_3^4 - 227233532117/1269808865533*c_1001_3^3 - 342419864421/1269808865533*c_1001_3^2 - 9711690222/97677605041*c_1001_3 - 2318070416539/1269808865533, c_1001_3^10 + 2*c_1001_3^9 + 13*c_1001_3^8 + 12*c_1001_3^7 + 80*c_1001_3^6 + 22*c_1001_3^5 + 227*c_1001_3^4 - 122*c_1001_3^3 + 425*c_1001_3^2 - 44*c_1001_3 + 313 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.640 Total time: 6.860 seconds, Total memory usage: 64.12MB