Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 21011572] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3201 geometric_solution 6.34799190 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -1 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 1.074801171750 0.669115015514 0 0 5 4 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 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 0.538903710252 0.269219153419 3 0 5 6 2103 0132 2310 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 0 -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 0.617371593248 0.814147042845 4 6 2 0 0132 1023 2103 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 -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 0.617371593248 0.814147042845 3 5 1 5 0132 1023 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.761009926459 1.134118260467 4 2 4 1 1023 3201 1230 0132 0 0 0 0 0 -1 1 0 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 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 0.761009926459 1.134118260467 3 6 2 6 1023 1302 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 -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 0.395328413909 0.494946406031 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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_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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_1001_1']), '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_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1168826133797/48953921861*c_1001_1^16 + 92967327477/3765686297*c_1001_1^15 - 11556858171894/48953921861*c_1001_1^14 + 2116006187415/48953921861*c_1001_1^13 + 36718188972470/48953921861*c_1001_1^12 - 16778069703121/48953921861*c_1001_1^11 - 70504666956526/48953921861*c_1001_1^10 + 29967172355543/48953921861*c_1001_1^9 + 110442150383381/48953921861*c_1001_1^8 - 35375764562131/48953921861*c_1001_1^7 - 125602678303459/48953921861*c_1001_1^6 + 9455017904844/48953921861*c_1001_1^5 + 104637023472455/48953921861*c_1001_1^4 + 10049078430784/48953921861*c_1001_1^3 - 49911966740264/48953921861*c_1001_1^2 - 9179946529563/48953921861*c_1001_1 + 11368141125286/48953921861, c_0011_0 - 1, c_0011_3 - 137688055/3765686297*c_1001_1^16 - 203796526/3765686297*c_1001_1^15 + 1034781755/3765686297*c_1001_1^14 + 407743407/3765686297*c_1001_1^13 - 1703413899/3765686297*c_1001_1^12 - 3491887249/3765686297*c_1001_1^11 + 3789085672/3765686297*c_1001_1^10 + 10468836515/3765686297*c_1001_1^9 - 8601884411/3765686297*c_1001_1^8 - 15430425918/3765686297*c_1001_1^7 + 5302408756/3765686297*c_1001_1^6 + 23165689010/3765686297*c_1001_1^5 + 466042056/3765686297*c_1001_1^4 - 16951477663/3765686297*c_1001_1^3 - 9219343062/3765686297*c_1001_1^2 + 8999875537/3765686297*c_1001_1 + 3693994072/3765686297, c_0101_0 + c_1001_1, c_0101_1 - 933546310/3765686297*c_1001_1^16 - 1634925577/3765686297*c_1001_1^15 + 8355804293/3765686297*c_1001_1^14 + 4266297147/3765686297*c_1001_1^13 - 29373076865/3765686297*c_1001_1^12 - 3547366397/3765686297*c_1001_1^11 + 60352707904/3765686297*c_1001_1^10 + 5045960217/3765686297*c_1001_1^9 - 89593173899/3765686297*c_1001_1^8 - 13964480859/3765686297*c_1001_1^7 + 94553858473/3765686297*c_1001_1^6 + 34462854361/3765686297*c_1001_1^5 - 61944228878/3765686297*c_1001_1^4 - 33297935960/3765686297*c_1001_1^3 + 20991622466/3765686297*c_1001_1^2 + 10871686291/3765686297*c_1001_1 - 2470269442/3765686297, c_0101_2 + 425651552/3765686297*c_1001_1^16 + 284316008/3765686297*c_1001_1^15 - 4077524798/3765686297*c_1001_1^14 + 2793632645/3765686297*c_1001_1^13 + 10652291763/3765686297*c_1001_1^12 - 11548747772/3765686297*c_1001_1^11 - 15872530037/3765686297*c_1001_1^10 + 18880044317/3765686297*c_1001_1^9 + 23961748424/3765686297*c_1001_1^8 - 26087079290/3765686297*c_1001_1^7 - 25716386561/3765686297*c_1001_1^6 + 20930292261/3765686297*c_1001_1^5 + 21699980656/3765686297*c_1001_1^4 - 12531109099/3765686297*c_1001_1^3 - 14851383401/3765686297*c_1001_1^2 + 2669835571/3765686297*c_1001_1 + 3090535136/3765686297, c_0110_6 - 1711358291/3765686297*c_1001_1^16 - 2233703654/3765686297*c_1001_1^15 + 15798282722/3765686297*c_1001_1^14 + 842417848/3765686297*c_1001_1^13 - 48320733579/3765686297*c_1001_1^12 + 8735787806/3765686297*c_1001_1^11 + 90910756044/3765686297*c_1001_1^10 - 7626711030/3765686297*c_1001_1^9 - 138506248433/3765686297*c_1001_1^8 - 5808788917/3765686297*c_1001_1^7 + 145284491290/3765686297*c_1001_1^6 + 50618980643/3765686297*c_1001_1^5 - 103123867259/3765686297*c_1001_1^4 - 53000131159/3765686297*c_1001_1^3 + 29603460659/3765686297*c_1001_1^2 + 22843003706/3765686297*c_1001_1 - 2614155465/3765686297, c_1001_1^17 + c_1001_1^16 - 10*c_1001_1^15 + 2*c_1001_1^14 + 32*c_1001_1^13 - 15*c_1001_1^12 - 62*c_1001_1^11 + 27*c_1001_1^10 + 98*c_1001_1^9 - 32*c_1001_1^8 - 113*c_1001_1^7 + 9*c_1001_1^6 + 96*c_1001_1^5 + 10*c_1001_1^4 - 47*c_1001_1^3 - 10*c_1001_1^2 + 11*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB