Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 1932717574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2905 geometric_solution 6.11036804 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 0 0 1 -1 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 -1 0 1 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 0.945301414153 1.071927282166 0 0 5 4 0132 3120 0132 0132 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 1 0 0 -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 0.593836153083 0.485518144734 4 5 4 0 0132 3012 2031 0132 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 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371462026566 0.658091078193 6 4 0 6 0132 3120 0132 1023 0 0 0 0 0 0 -1 1 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478238233519 0.434318418825 2 3 1 2 0132 3120 0132 1302 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 0 0 0 1 0 -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 1.303720002276 0.874663855094 2 5 5 1 1230 1230 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 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 0.990708373101 0.825192935194 3 6 6 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.258273190226 0.686211619365 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 6455416849281585/469744655401232*c_0101_5*c_0101_6^13 + 15236359798362437/234872327700616*c_0101_5*c_0101_6^12 - 2854076256724509/469744655401232*c_0101_5*c_0101_6^11 - 57239167452641705/117436163850308*c_0101_5*c_0101_6^10 - 304017025730894733/469744655401232*c_0101_5*c_0101_6^9 + 293573363278445947/469744655401232*c_0101_5*c_0101_6^8 - 295522476691021079/234872327700616*c_0101_5*c_0101_6^7 - 363400383061578495/117436163850308*c_0101_5*c_0101_6^6 + 439941925616373417/234872327700616*c_0101_5*c_0101_6^5 + 282109474815816111/469744655401232*c_0101_5*c_0101_6^4 - 267987446189755047/234872327700616*c_0101_5*c_0101_6^3 + 245736254124837037/469744655401232*c_0101_5*c_0101_6^2 + 25530121881082917/469744655401232*c_0101_5*c_0101_6 - 14503011944566579/469744655401232*c_0101_5, c_0011_0 - 1, c_0011_2 + 6174366936/197040543373*c_0101_6^13 + 57863038587/394081086746*c_0101_6^12 - 5600631787/394081086746*c_0101_6^11 - 215435786162/197040543373*c_0101_6^10 - 287953384484/197040543373*c_0101_6^9 + 519010607109/394081086746*c_0101_6^8 - 580946484149/197040543373*c_0101_6^7 - 1280300719652/197040543373*c_0101_6^6 + 734212246250/197040543373*c_0101_6^5 + 38936161895/197040543373*c_0101_6^4 - 578314480087/394081086746*c_0101_6^3 + 340979435079/394081086746*c_0101_6^2 - 342875790413/197040543373*c_0101_6 - 107654860205/394081086746, c_0011_3 + 10497163324307/117436163850308*c_0101_5*c_0101_6^13 + 16247503262318/29359040962577*c_0101_5*c_0101_6^12 + 71340656172619/117436163850308*c_0101_5*c_0101_6^11 - 90423469508972/29359040962577*c_0101_5*c_0101_6^10 - 1029363067366135/117436163850308*c_0101_5*c_0101_6^9 - 356292883589445/117436163850308*c_0101_5*c_0101_6^8 - 249459790373107/58718081925154*c_0101_5*c_0101_6^7 - 948067358635162/29359040962577*c_0101_5*c_0101_6^6 - 1136877744680071/58718081925154*c_0101_5*c_0101_6^5 + 1581361015584137/117436163850308*c_0101_5*c_0101_6^4 - 117386143787559/29359040962577*c_0101_5*c_0101_6^3 - 664960478938799/117436163850308*c_0101_5*c_0101_6^2 + 277922923469079/117436163850308*c_0101_5*c_0101_6 + 5241276089741/117436163850308*c_0101_5, c_0011_5 - 26117654398733/117436163850308*c_0101_6^13 - 66172989723729/58718081925154*c_0101_6^12 - 35711989229363/117436163850308*c_0101_6^11 + 226540349898494/29359040962577*c_0101_6^10 + 1537782765297353/117436163850308*c_0101_6^9 - 610271286353591/117436163850308*c_0101_6^8 + 1143108579282797/58718081925154*c_0101_6^7 + 1676017736332069/29359040962577*c_0101_6^6 - 545961922322817/58718081925154*c_0101_6^5 - 1074984425008999/117436163850308*c_0101_6^4 + 947732950681659/58718081925154*c_0101_6^3 - 259586699045397/117436163850308*c_0101_6^2 - 57966600775581/117436163850308*c_0101_6 - 127701913740789/117436163850308, c_0101_0 + 6817240630451/117436163850308*c_0101_5*c_0101_6^13 + 23873413775173/58718081925154*c_0101_5*c_0101_6^12 + 73009644445145/117436163850308*c_0101_5*c_0101_6^11 - 58323537370834/29359040962577*c_0101_5*c_0101_6^10 - 857742850213671/117436163850308*c_0101_5*c_0101_6^9 - 510958044507927/117436163850308*c_0101_5*c_0101_6^8 - 76337738096705/58718081925154*c_0101_5*c_0101_6^7 - 757302551407014/29359040962577*c_0101_5*c_0101_6^6 - 1355672994062571/58718081925154*c_0101_5*c_0101_6^5 + 1558155063094717/117436163850308*c_0101_5*c_0101_6^4 - 148603430042155/58718081925154*c_0101_5*c_0101_6^3 - 766572350592341/117436163850308*c_0101_5*c_0101_6^2 + 482276894555227/117436163850308*c_0101_5*c_0101_6 + 37322424430831/117436163850308*c_0101_5, c_0101_5^2 - 26903894006089/117436163850308*c_0101_6^13 - 33164247533808/29359040962577*c_0101_6^12 - 16454162647401/117436163850308*c_0101_6^11 + 237047203093675/29359040962577*c_0101_6^10 + 1462122915139929/117436163850308*c_0101_6^9 - 911409134022149/117436163850308*c_0101_6^8 + 1154316939502037/58718081925154*c_0101_6^7 + 1656678557593659/29359040962577*c_0101_6^6 - 1066260450464769/58718081925154*c_0101_6^5 - 1564965303684359/117436163850308*c_0101_6^4 + 542202732394409/29359040962577*c_0101_6^3 - 191068460462679/117436163850308*c_0101_6^2 - 208302360017217/117436163850308*c_0101_6 - 204203370823919/117436163850308, c_0101_6^14 + 5*c_0101_6^13 + c_0101_6^12 - 35*c_0101_6^11 - 57*c_0101_6^10 + 28*c_0101_6^9 - 85*c_0101_6^8 - 246*c_0101_6^7 + 62*c_0101_6^6 + 53*c_0101_6^5 - 57*c_0101_6^4 + 19*c_0101_6^3 + 4*c_0101_6^2 + 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB