Magma V2.19-8 Wed Aug 21 2013 00:56:19 on localhost [Seed = 1798140241] Type ? for help. Type -D to quit. Loading file "L13n151__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n151 geometric_solution 11.56759239 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -5 0 5 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.089987630900 0.873835254643 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 1 0 -1 -1 0 1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 5 0 -5 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558492269856 0.447739241264 4 0 3 4 0132 0132 2103 2031 1 1 0 1 0 0 0 0 -1 0 0 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 6 0 0 -6 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116611745184 1.132371782963 2 6 0 5 2103 0132 0132 2031 1 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 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 0.856560495879 1.097982603512 2 2 1 7 0132 1302 0132 0132 1 1 1 0 0 -1 1 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 6 -5 -1 -6 0 0 6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910012369100 0.873835254643 8 3 9 1 0132 1302 0132 0132 1 1 1 1 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 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.474444799403 0.964225363224 10 3 11 10 0132 0132 0132 2031 1 1 1 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 1 0 -1 1 0 5 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325992234168 0.716832679308 8 9 4 12 2103 0132 0132 0132 1 1 1 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 1 -1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023630255498 0.457901519257 5 11 7 11 0132 2103 2103 0132 1 1 1 1 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 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441014106625 0.282531393462 11 7 12 5 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009129969072 1.097069573099 6 6 12 12 0132 1302 2310 1230 1 1 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 0 0 0 6 0 -6 -1 0 1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474307843567 1.155957956939 9 8 8 6 0132 2103 0132 0132 1 1 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757540018880 1.479719247931 10 10 7 9 3012 3201 0132 0132 1 1 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 0 0 0 0 0 -1 1 0 6 0 -6 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 0.474307843567 1.155957956939 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0110_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0110_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(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_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0110_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0110_3'], 'c_1010_8' : negation(d['c_0011_5']), 'c_1100_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(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_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_10']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_3, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 43188199671547959653153083869888512/22520926289425322155246078125*c\ _1100_1^15 + 148875551725182811420516435017859072/22520926289425322\ 155246078125*c_1100_1^14 - 12904237524916538951195815273562112/7506\ 975429808440718415359375*c_1100_1^13 - 282249558830949094611250052117561344/22520926289425322155246078125*\ c_1100_1^12 + 192093943646276965466744310650109952/2252092628942532\ 2155246078125*c_1100_1^11 + 189421874184816890279842203076395008/22\ 520926289425322155246078125*c_1100_1^10 - 179560312108084195148774240075382784/22520926289425322155246078125*\ c_1100_1^9 - 216388486366432335719582605508608/10190464384355349391\ 5140625*c_1100_1^8 + 26227947382610226692156967898578944/7506975429\ 808440718415359375*c_1100_1^7 - 524519961663649543885615898427392/1\ 732378945340409396557390625*c_1100_1^6 - 19135271819262985545400416876396544/22520926289425322155246078125*c\ _1100_1^5 + 8694549786042303462215000190451712/22520926289425322155\ 246078125*c_1100_1^4 + 107119639786462051138355841138688/1501395085\ 961688143683071875*c_1100_1^3 - 634070370303130145858682439360512/7\ 506975429808440718415359375*c_1100_1^2 + 262204278790791133361289933824/1324760369966195420896828125*c_1100_\ 1 + 166840516667903118790208829039616/22520926289425322155246078125\ , c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_11 - 51295453184/12596781*c_1100_1^15 - 2895773696/12596781*c_1100_1^14 + 37933252608/4198927*c_1100_1^13 + 11356301312/12596781*c_1100_1^12 - 93397950464/12596781*c_1100_1^11 - 10519889920/12596781*c_1100_1^10 + 34396123136/12596781*c_1100_1^9 + 352586752/12596781*c_1100_1^8 - 1988325376/4198927*c_1100_1^7 + 2820341440/12596781*c_1100_1^6 + 678953984/12596781*c_1100_1^5 - 874452712/12596781*c_1100_1^4 - 30133784/4198927*c_1100_1^3 + 19791440/4198927*c_1100_1^2 + 37111720/12596781*c_1100_1 + 13848025/12596781, c_0011_12 - 22947987456/4198927*c_1100_1^15 + 11499077632/4198927*c_1100_1^14 + 46194688000/4198927*c_1100_1^13 - 20118798336/4198927*c_1100_1^12 - 33330806784/4198927*c_1100_1^11 + 12929966080/4198927*c_1100_1^10 + 9708889600/4198927*c_1100_1^9 - 4841551872/4198927*c_1100_1^8 - 293731840/4198927*c_1100_1^7 + 1438297632/4198927*c_1100_1^6 - 439804064/4198927*c_1100_1^5 - 167881168/4198927*c_1100_1^4 + 17827360/4198927*c_1100_1^3 + 20237730/4198927*c_1100_1^2 + 11090566/4198927*c_1100_1 + 709277/4198927, c_0011_5 - 103685324800/12596781*c_1100_1^15 + 28946702336/12596781*c_1100_1^14 + 72480915456/4198927*c_1100_1^13 - 44143996928/12596781*c_1100_1^12 - 167833919488/12596781*c_1100_1^11 + 24187130368/12596781*c_1100_1^10 + 56684148736/12596781*c_1100_1^9 - 11490091264/12596781*c_1100_1^8 - 2239817728/4198927*c_1100_1^7 + 6135975680/12596781*c_1100_1^6 - 368892416/12596781*c_1100_1^5 - 1350382928/12596781*c_1100_1^4 - 56648896/4198927*c_1100_1^3 + 46610106/4198927*c_1100_1^2 + 86073326/12596781*c_1100_1 + 15884405/12596781, c_0101_0 + 115485016064/12596781*c_1100_1^15 - 63434997760/12596781*c_1100_1^14 - 77059129344/4198927*c_1100_1^13 + 112396644352/12596781*c_1100_1^12 + 168606187520/12596781*c_1100_1^11 - 73080498176/12596781*c_1100_1^10 - 51900575744/12596781*c_1100_1^9 + 26841747200/12596781*c_1100_1^8 + 913504768/4198927*c_1100_1^7 - 7877299840/12596781*c_1100_1^6 + 2266834432/12596781*c_1100_1^5 + 1176310144/12596781*c_1100_1^4 - 43351872/4198927*c_1100_1^3 - 57148168/4198927*c_1100_1^2 - 39322360/12596781*c_1100_1 - 818467/12596781, c_0101_1 - 1, c_0101_10 + 79799189504/12596781*c_1100_1^15 - 36978098176/12596781*c_1100_1^14 - 52866187264/4198927*c_1100_1^13 + 64032735232/12596781*c_1100_1^12 + 112383872000/12596781*c_1100_1^11 - 40761786368/12596781*c_1100_1^10 - 31991993600/12596781*c_1100_1^9 + 15588945920/12596781*c_1100_1^8 + 324441088/4198927*c_1100_1^7 - 5048657920/12596781*c_1100_1^6 + 1376592016/12596781*c_1100_1^5 + 722137888/12596781*c_1100_1^4 - 10883828/4198927*c_1100_1^3 - 26768872/4198927*c_1100_1^2 - 35244589/12596781*c_1100_1 - 3761326/12596781, c_0101_11 + 104100036608/12596781*c_1100_1^15 - 414711808/12596781*c_1100_1^14 - 79048925184/4198927*c_1100_1^13 - 9242673152/12596781*c_1100_1^12 + 200294051840/12596781*c_1100_1^11 + 11683864576/12596781*c_1100_1^10 - 76237148672/12596781*c_1100_1^9 + 1872121856/12596781*c_1100_1^8 + 4372218112/4198927*c_1100_1^7 - 6293051392/12596781*c_1100_1^6 - 1256286464/12596781*c_1100_1^5 + 1995455488/12596781*c_1100_1^4 + 111260336/4198927*c_1100_1^3 - 53409150/4198927*c_1100_1^2 - 114415270/12596781*c_1100_1 - 22646449/12596781, c_0101_12 - 90754416640/12596781*c_1100_1^15 + 39458963456/12596781*c_1100_1^14 + 59537686528/4198927*c_1100_1^13 - 67709075456/12596781*c_1100_1^12 - 124775323648/12596781*c_1100_1^11 + 42733674496/12596781*c_1100_1^10 + 34857318400/12596781*c_1100_1^9 - 16653236224/12596781*c_1100_1^8 - 355150336/4198927*c_1100_1^7 + 5379325952/12596781*c_1100_1^6 - 1433771840/12596781*c_1100_1^5 - 638309528/12596781*c_1100_1^4 + 3940296/4198927*c_1100_1^3 + 24902160/4198927*c_1100_1^2 + 37217480/12596781*c_1100_1 + 5394821/12596781, c_0110_3 + 52050018304/12596781*c_1100_1^15 - 207355904/12596781*c_1100_1^14 - 39524462592/4198927*c_1100_1^13 - 4621336576/12596781*c_1100_1^12 + 100147025920/12596781*c_1100_1^11 + 5841932288/12596781*c_1100_1^10 - 38118574336/12596781*c_1100_1^9 + 936060928/12596781*c_1100_1^8 + 2186109056/4198927*c_1100_1^7 - 3146525696/12596781*c_1100_1^6 - 628143232/12596781*c_1100_1^5 + 997727744/12596781*c_1100_1^4 + 55630168/4198927*c_1100_1^3 - 22505648/4198927*c_1100_1^2 - 57207635/12596781*c_1100_1 - 5024834/12596781, c_1001_1 - 52050018304/12596781*c_1100_1^15 + 207355904/12596781*c_1100_1^14 + 39524462592/4198927*c_1100_1^13 + 4621336576/12596781*c_1100_1^12 - 100147025920/12596781*c_1100_1^11 - 5841932288/12596781*c_1100_1^10 + 38118574336/12596781*c_1100_1^9 - 936060928/12596781*c_1100_1^8 - 2186109056/4198927*c_1100_1^7 + 3146525696/12596781*c_1100_1^6 + 628143232/12596781*c_1100_1^5 - 997727744/12596781*c_1100_1^4 - 55630168/4198927*c_1100_1^3 + 22505648/4198927*c_1100_1^2 + 57207635/12596781*c_1100_1 + 30218396/12596781, c_1100_1^16 - c_1100_1^15 - 2*c_1100_1^14 + 2*c_1100_1^13 + 3/2*c_1100_1^12 - 3/2*c_1100_1^11 - 1/2*c_1100_1^10 + 9/16*c_1100_1^9 + 1/64*c_1100_1^8 - 1/8*c_1100_1^7 + 3/64*c_1100_1^6 + 1/64*c_1100_1^5 - 5/512*c_1100_1^4 - 3/1024*c_1100_1^3 + 1/4096*c_1100_1^2 + 1/2048*c_1100_1 + 5/32768 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB