Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1073863813] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0265 geometric_solution 4.30943568 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 1.502222555601 0.130648193671 0 2 2 0 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270071450686 0.217914612680 3 1 1 4 0132 0132 1023 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 0.916582806896 0.829308349219 2 4 5 5 0132 2310 2310 0132 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 0 1 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 -0.297911525684 0.415494924587 6 6 2 3 0132 2310 0132 3201 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 1 -1 1 0 -1 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 -0.297911525684 0.415494924587 6 3 3 6 1230 3201 0132 3012 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 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 -0.182608378016 1.164339455914 4 5 5 4 0132 3012 1230 3201 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 -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 -0.182608378016 1.164339455914 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 843434602223/49806318065*c_0101_3^13 - 5656992442184/149418954195*c_0101_3^12 + 11732206979714/149418954195*c_0101_3^11 - 87282576589388/149418954195*c_0101_3^10 + 96811096358786/149418954195*c_0101_3^9 - 32324279406571/21345564885*c_0101_3^8 + 23353388517464/29883790839*c_0101_3^7 - 108048483310592/149418954195*c_0101_3^6 - 2935188598963/9961263613*c_0101_3^5 - 68186495037898/149418954195*c_0101_3^4 + 76213939152241/149418954195*c_0101_3^3 + 45762827592922/149418954195*c_0101_3^2 + 5002601930231/21345564885*c_0101_3 + 1380948392058/49806318065, c_0011_0 - 1, c_0011_1 + 5880913856/38422016793*c_0101_3^13 + 7881936710/38422016793*c_0101_3^12 - 12655345009/12807338931*c_0101_3^11 + 76710358717/12807338931*c_0101_3^10 - 410874187024/38422016793*c_0101_3^9 + 761068577153/38422016793*c_0101_3^8 - 769057165400/38422016793*c_0101_3^7 + 189123640834/12807338931*c_0101_3^6 - 49180778396/12807338931*c_0101_3^5 + 86915481040/38422016793*c_0101_3^4 - 331075200773/38422016793*c_0101_3^3 + 82107076237/38422016793*c_0101_3^2 - 17592487778/38422016793*c_0101_3 + 22882833823/38422016793, c_0011_4 - 2433077284/38422016793*c_0101_3^13 - 901006192/38422016793*c_0101_3^12 + 6357199937/12807338931*c_0101_3^11 - 36749355827/12807338931*c_0101_3^10 + 260972718827/38422016793*c_0101_3^9 - 470931449314/38422016793*c_0101_3^8 + 608186280616/38422016793*c_0101_3^7 - 170845364029/12807338931*c_0101_3^6 + 28894334881/4269112977*c_0101_3^5 - 57513129968/38422016793*c_0101_3^4 + 147951582211/38422016793*c_0101_3^3 - 128182793747/38422016793*c_0101_3^2 + 23605518232/38422016793*c_0101_3 - 20477531753/38422016793, c_0011_5 + 2433077284/38422016793*c_0101_3^13 + 901006192/38422016793*c_0101_3^12 - 6357199937/12807338931*c_0101_3^11 + 36749355827/12807338931*c_0101_3^10 - 260972718827/38422016793*c_0101_3^9 + 470931449314/38422016793*c_0101_3^8 - 608186280616/38422016793*c_0101_3^7 + 170845364029/12807338931*c_0101_3^6 - 28894334881/4269112977*c_0101_3^5 + 57513129968/38422016793*c_0101_3^4 - 147951582211/38422016793*c_0101_3^3 + 128182793747/38422016793*c_0101_3^2 - 23605518232/38422016793*c_0101_3 + 20477531753/38422016793, c_0101_0 + 3760099700/38422016793*c_0101_3^13 + 4220930501/38422016793*c_0101_3^12 - 8602572913/12807338931*c_0101_3^11 + 50078227219/12807338931*c_0101_3^10 - 294908068192/38422016793*c_0101_3^9 + 536449143740/38422016793*c_0101_3^8 - 622591465439/38422016793*c_0101_3^7 + 164464674998/12807338931*c_0101_3^6 - 27901596838/4269112977*c_0101_3^5 + 138912788842/38422016793*c_0101_3^4 - 230495586038/38422016793*c_0101_3^3 + 73457361031/38422016793*c_0101_3^2 - 18243744632/38422016793*c_0101_3 + 50558049190/38422016793, c_0101_2 - 1233156526/38422016793*c_0101_3^13 - 2930145076/38422016793*c_0101_3^12 + 2314212323/12807338931*c_0101_3^11 - 13098589913/12807338931*c_0101_3^10 + 31851232832/38422016793*c_0101_3^9 - 41060175403/38422016793*c_0101_3^8 - 65246757263/38422016793*c_0101_3^7 + 54962305807/12807338931*c_0101_3^6 - 77665940147/12807338931*c_0101_3^5 + 116251592290/38422016793*c_0101_3^4 - 6076788026/38422016793*c_0101_3^3 + 20278872085/38422016793*c_0101_3^2 - 19457716055/38422016793*c_0101_3 + 23377442284/38422016793, c_0101_3^14 + 2*c_0101_3^13 - 5*c_0101_3^12 + 36*c_0101_3^11 - 47*c_0101_3^10 + 104*c_0101_3^9 - 72*c_0101_3^8 + 68*c_0101_3^7 + 3*c_0101_3^6 + 32*c_0101_3^5 - 32*c_0101_3^4 - 2*c_0101_3^3 - 11*c_0101_3^2 + c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB