Magma V2.19-8 Wed Aug 21 2013 00:49:44 on localhost [Seed = 3937205818] Type ? for help. Type -D to quit. Loading file "K14n9578__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n9578 geometric_solution 11.75010184 oriented_manifold CS_known 0.0000000000000000 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 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 -1 1 1 0 0 -1 -18 17 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769972752076 0.627155630993 0 5 6 4 0132 0132 0132 0213 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 1 -1 -1 0 1 0 0 -1 0 1 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809906493577 0.449888639001 7 0 5 8 0132 0132 1302 0132 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 -1 0 1 0 0 0 0 0 -1 -17 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328926314696 0.569196614410 9 6 10 0 0132 1230 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565965652073 0.734235784008 9 11 0 1 2310 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219238865795 0.635942947925 2 1 11 10 2031 0132 0321 2031 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 0 0 0 0 0 -18 18 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.425631293563 0.290143605000 12 10 3 1 0132 2031 3012 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 1 -1 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 0.369571209053 1.662412925861 2 9 12 9 0132 3120 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.596620627301 1.009275455120 12 12 2 11 1230 1302 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233562331832 0.695202253165 3 7 4 7 0132 3120 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596620627301 1.009275455120 6 5 11 3 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837087116268 1.522343934197 8 4 5 10 3120 0132 0321 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 0.883900764369 0.928734941194 6 8 7 8 0132 3012 1023 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 0.127919719630 0.863414124961 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0110_5'], 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_6'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0110_5'], 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_11']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], '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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0110_5, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 20310889684368682768/10979518014783*c_1001_5^14 + 101851807438756091992/10979518014783*c_1001_5^13 + 61479235097426572048/3659839338261*c_1001_5^12 + 92572185350002917244/3659839338261*c_1001_5^11 + 193700615258637921406/10979518014783*c_1001_5^10 - 418242794669083810646/10979518014783*c_1001_5^9 - 98829489208617642080/3659839338261*c_1001_5^8 + 10071897237769343662/3659839338261*c_1001_5^7 - 279169097232936673588/3659839338261*c_1001_5^6 - 85729308544303350235/10979518014783*c_1001_5^5 + 595677413775126212804/10979518014783*c_1001_5^4 - 323080099504744892459/10979518014783*c_1001_5^3 - 105338758177797272084/10979518014783*c_1001_5^2 + 25937055575375317088/3659839338261*c_1001_5 + 19733594112581719106/10979518014783, c_0011_0 - 1, c_0011_10 + 4979352140/1192000653*c_1001_5^14 + 22540687388/1192000653*c_1001_5^13 + 11254951049/397333551*c_1001_5^12 + 16552783688/397333551*c_1001_5^11 + 20720427749/1192000653*c_1001_5^10 - 116006697934/1192000653*c_1001_5^9 - 5239037707/397333551*c_1001_5^8 + 9315568109/397333551*c_1001_5^7 - 72562800578/397333551*c_1001_5^6 + 82012512793/1192000653*c_1001_5^5 + 123144484333/1192000653*c_1001_5^4 - 150518618326/1192000653*c_1001_5^3 + 34443295484/1192000653*c_1001_5^2 + 4416796291/397333551*c_1001_5 - 3524274140/1192000653, c_0011_11 + 13172027248/1192000653*c_1001_5^14 + 55030760086/1192000653*c_1001_5^13 + 7499891587/132444517*c_1001_5^12 + 10543778983/132444517*c_1001_5^11 - 966700397/1192000653*c_1001_5^10 - 340550727338/1192000653*c_1001_5^9 + 17984814575/397333551*c_1001_5^8 + 36547461575/397333551*c_1001_5^7 - 64816647971/132444517*c_1001_5^6 + 411336114857/1192000653*c_1001_5^5 + 298465042631/1192000653*c_1001_5^4 - 505043444450/1192000653*c_1001_5^3 + 189565956544/1192000653*c_1001_5^2 + 3482343735/132444517*c_1001_5 - 23049071929/1192000653, c_0011_12 - 3041927960/1192000653*c_1001_5^14 - 11117749022/1192000653*c_1001_5^13 - 2643964969/397333551*c_1001_5^12 - 3062867584/397333551*c_1001_5^11 + 18776571469/1192000653*c_1001_5^10 + 89203616515/1192000653*c_1001_5^9 - 5481777903/132444517*c_1001_5^8 - 4619505416/132444517*c_1001_5^7 + 47358706273/397333551*c_1001_5^6 - 163748796922/1192000653*c_1001_5^5 - 57142622491/1192000653*c_1001_5^4 + 164004565300/1192000653*c_1001_5^3 - 82761917060/1192000653*c_1001_5^2 - 1479156980/397333551*c_1001_5 + 9848059766/1192000653, c_0011_3 + 2033123336/397333551*c_1001_5^14 + 8912046034/397333551*c_1001_5^13 + 12452997601/397333551*c_1001_5^12 + 18222414976/397333551*c_1001_5^11 + 1805070488/132444517*c_1001_5^10 - 48756356614/397333551*c_1001_5^9 + 156947945/397333551*c_1001_5^8 + 12564107129/397333551*c_1001_5^7 - 90494410804/397333551*c_1001_5^6 + 15134035588/132444517*c_1001_5^5 + 46614256297/397333551*c_1001_5^4 - 22842935860/132444517*c_1001_5^3 + 21952171724/397333551*c_1001_5^2 + 5463228542/397333551*c_1001_5 - 897539665/132444517, c_0011_8 + 6451898882/1192000653*c_1001_5^14 + 33169428485/1192000653*c_1001_5^13 + 20805303193/397333551*c_1001_5^12 + 31502413018/397333551*c_1001_5^11 + 71238517760/1192000653*c_1001_5^10 - 127084070674/1192000653*c_1001_5^9 - 12338081828/132444517*c_1001_5^8 + 520776090/132444517*c_1001_5^7 - 88322141866/397333551*c_1001_5^6 - 62561532788/1192000653*c_1001_5^5 + 196452301039/1192000653*c_1001_5^4 - 86695786636/1192000653*c_1001_5^3 - 53707062346/1192000653*c_1001_5^2 + 9300614636/397333551*c_1001_5 + 7481746756/1192000653, c_0101_0 + 17292272744/1192000653*c_1001_5^14 + 76265622854/1192000653*c_1001_5^13 + 12006905985/132444517*c_1001_5^12 + 17549667883/132444517*c_1001_5^11 + 49364344796/1192000653*c_1001_5^10 - 414960221326/1192000653*c_1001_5^9 - 4601727827/397333551*c_1001_5^8 + 34204910974/397333551*c_1001_5^7 - 84503658090/132444517*c_1001_5^6 + 368094382936/1192000653*c_1001_5^5 + 406811797471/1192000653*c_1001_5^4 - 560130100960/1192000653*c_1001_5^3 + 168887807720/1192000653*c_1001_5^2 + 5009861177/132444517*c_1001_5 - 19092063377/1192000653, c_0101_1 - 939502112/1192000653*c_1001_5^14 + 958141156/1192000653*c_1001_5^13 + 6109046068/397333551*c_1001_5^12 + 10431193417/397333551*c_1001_5^11 + 56782000993/1192000653*c_1001_5^10 + 55843570630/1192000653*c_1001_5^9 - 37409118890/397333551*c_1001_5^8 - 16316589212/397333551*c_1001_5^7 + 19299555416/397333551*c_1001_5^6 - 235016968840/1192000653*c_1001_5^5 + 16067445554/1192000653*c_1001_5^4 + 165340848685/1192000653*c_1001_5^3 - 124977952469/1192000653*c_1001_5^2 + 1704183638/397333551*c_1001_5 + 15744095633/1192000653, c_0101_11 - 13788322112/1192000653*c_1001_5^14 - 58871026076/1192000653*c_1001_5^13 - 25698105142/397333551*c_1001_5^12 - 37067017072/397333551*c_1001_5^11 - 17005896836/1192000653*c_1001_5^10 + 342965148025/1192000653*c_1001_5^9 - 3434550632/132444517*c_1001_5^8 - 10599572034/132444517*c_1001_5^7 + 203406001486/397333551*c_1001_5^6 - 374434619242/1192000653*c_1001_5^5 - 307823860531/1192000653*c_1001_5^4 + 492328951525/1192000653*c_1001_5^3 - 178042047074/1192000653*c_1001_5^2 - 10818394559/397333551*c_1001_5 + 20773560560/1192000653, c_0101_6 + 1996250378/1192000653*c_1001_5^14 + 3704277425/1192000653*c_1001_5^13 - 3876680341/397333551*c_1001_5^12 - 7062209167/397333551*c_1001_5^11 - 52956465502/1192000653*c_1001_5^10 - 80272748332/1192000653*c_1001_5^9 + 37146429503/397333551*c_1001_5^8 + 17386286081/397333551*c_1001_5^7 - 35858924246/397333551*c_1001_5^6 + 258146852335/1192000653*c_1001_5^5 + 7641772828/1192000653*c_1001_5^4 - 199984795816/1192000653*c_1001_5^3 + 141329548487/1192000653*c_1001_5^2 - 659082395/397333551*c_1001_5 - 18531510680/1192000653, c_0110_5 - 4979352140/1192000653*c_1001_5^14 - 22540687388/1192000653*c_1001_5^13 - 11254951049/397333551*c_1001_5^12 - 16552783688/397333551*c_1001_5^11 - 20720427749/1192000653*c_1001_5^10 + 116006697934/1192000653*c_1001_5^9 + 5239037707/397333551*c_1001_5^8 - 9315568109/397333551*c_1001_5^7 + 72562800578/397333551*c_1001_5^6 - 82012512793/1192000653*c_1001_5^5 - 123144484333/1192000653*c_1001_5^4 + 150518618326/1192000653*c_1001_5^3 - 34443295484/1192000653*c_1001_5^2 - 4416796291/397333551*c_1001_5 + 3524274140/1192000653, c_1001_11 + 942538130/1192000653*c_1001_5^14 + 6314749103/1192000653*c_1001_5^13 + 5364954958/397333551*c_1001_5^12 + 8411329252/397333551*c_1001_5^11 + 27222234260/1192000653*c_1001_5^10 - 9342812401/1192000653*c_1001_5^9 - 5488901015/132444517*c_1001_5^8 - 1298345531/132444517*c_1001_5^7 - 10544593765/397333551*c_1001_5^6 - 70792053599/1192000653*c_1001_5^5 + 39505683451/1192000653*c_1001_5^4 + 27890428667/1192000653*c_1001_5^3 - 43057768855/1192000653*c_1001_5^2 + 1245182729/397333551*c_1001_5 + 6116262568/1192000653, c_1001_5^15 + 9/2*c_1001_5^14 + 13/2*c_1001_5^13 + 9*c_1001_5^12 + 5/2*c_1001_5^11 - 51/2*c_1001_5^10 - 4*c_1001_5^9 + 9*c_1001_5^8 - 42*c_1001_5^7 + 17*c_1001_5^6 + 63/2*c_1001_5^5 - 31*c_1001_5^4 + 3*c_1001_5^3 + 13/2*c_1001_5^2 - c_1001_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.180 Total time: 5.389 seconds, Total memory usage: 64.12MB