Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 4206585552] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0055 geometric_solution 3.61722871 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 2 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 0.266351495930 0.503440700109 0 2 3 4 0132 2310 2310 3120 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 -2 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 0.209760427314 0.101117079659 5 0 5 1 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -3.750232264628 10.697976421800 4 1 4 0 3120 3201 2310 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 -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 0.796602723227 0.408813146033 1 3 0 3 3120 3201 0132 3120 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 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 0.796602723227 0.408813146033 2 6 2 6 0132 0132 1023 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 0.329647738743 0.149218656413 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446528309831 0.037489741653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_4']})} 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_0011_4, c_0101_0, c_0101_2, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 700899334746683236092005/1154731674239639391346688*c_1001_0^17 + 72024329075580375296355/18042682409994365489792*c_1001_0^15 - 310150957234219240192539/1154731674239639391346688*c_1001_0^13 - 11188737969507140128617779/288682918559909847836672*c_1001_0^11 - 53121370721380395378094087/577365837119819695673344*c_1001_0^9 + 57309484510820587382489381/288682918559909847836672*c_1001_0^7 + 31973158491850402170565317/1154731674239639391346688*c_1001_0^5 - 5878937827941090952326751/36085364819988730979584*c_1001_0^3 + 16236534565345134995427/281916912656161960778*c_1001_0, c_0011_0 - 1, c_0011_3 - 3870630453306448412693/144341459279954923918336*c_1001_0^17 + 202887065947825646161/1127667650624647843112*c_1001_0^15 - 5674209240493347136875/144341459279954923918336*c_1001_0^13 - 60872669975540025752307/36085364819988730979584*c_1001_0^11 - 276582121203371261123479/72170729639977461959168*c_1001_0^9 + 329021182215068293299573/36085364819988730979584*c_1001_0^7 - 107733189666273999742091/144341459279954923918336*c_1001_0^5 - 31638936408315293653101/4510670602498591372448*c_1001_0^3 + 1909864838747848671515/563833825312323921556*c_1001_0, c_0011_4 + 255474475043794809873/18042682409994365489792*c_1001_0^16 - 108939644634819766391/1127667650624647843112*c_1001_0^14 + 599462083822011027055/18042682409994365489792*c_1001_0^12 + 3953530356240047642611/4510670602498591372448*c_1001_0^10 + 17361112330240904456267/9021341204997182744896*c_1001_0^8 - 22087177972167580174489/4510670602498591372448*c_1001_0^6 + 18683787323802277240143/18042682409994365489792*c_1001_0^4 + 2971545305010993339849/1127667650624647843112*c_1001_0^2 - 221857739830077694731/140958456328080980389, c_0101_0 + 315589980679828584821/9021341204997182744896*c_1001_0^16 - 66393105995944251307/281916912656161960778*c_1001_0^14 + 536425171113117525003/9021341204997182744896*c_1001_0^12 + 4918295267812868846187/2255335301249295686224*c_1001_0^10 + 22332182081638532384439/4510670602498591372448*c_1001_0^8 - 26620961311253220008549/2255335301249295686224*c_1001_0^6 + 13947765506184726737131/9021341204997182744896*c_1001_0^4 + 1168876915680940068675/140958456328080980389*c_1001_0^2 - 564702433886108131815/140958456328080980389, c_0101_2 - 244650900751070915941/144341459279954923918336*c_1001_0^17 + 174951642723271143655/9021341204997182744896*c_1001_0^15 - 7777334544462836408603/144341459279954923918336*c_1001_0^13 - 4021768672612278937503/36085364819988730979584*c_1001_0^11 + 19473742345540586655385/72170729639977461959168*c_1001_0^9 + 67533938808664806354925/36085364819988730979584*c_1001_0^7 - 361335574317940457680635/144341459279954923918336*c_1001_0^5 - 8096227046300626552569/9021341204997182744896*c_1001_0^3 + 707368343152353143145/281916912656161960778*c_1001_0, c_0110_6 + 2247309029449451230235/36085364819988730979584*c_1001_0^16 - 57966704675771576268/140958456328080980389*c_1001_0^14 + 1634955702004302890597/36085364819988730979584*c_1001_0^12 + 35380869796341649872253/9021341204997182744896*c_1001_0^10 + 169695029136784465765113/18042682409994365489792*c_1001_0^8 - 182749362392715391696955/9021341204997182744896*c_1001_0^6 - 62644186338119863688635/36085364819988730979584*c_1001_0^4 + 15440033039609462515959/1127667650624647843112*c_1001_0^2 - 502534684663582475424/140958456328080980389, c_1001_0^18 - 368/49*c_1001_0^16 + 335/49*c_1001_0^14 + 3020/49*c_1001_0^12 + 4566/49*c_1001_0^10 - 22244/49*c_1001_0^8 + 14255/49*c_1001_0^6 + 10768/49*c_1001_0^4 - 14080/49*c_1001_0^2 + 4096/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB