Magma V2.19-8 Wed Aug 21 2013 01:04:57 on localhost [Seed = 1410485301] Type ? for help. Type -D to quit. Loading file "L14n24905__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24905 geometric_solution 12.53990698 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 -1 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 -1 1 0 1 0 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382160090769 0.580883946680 0 3 6 5 0132 1023 0132 0132 1 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 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 -0.013946993718 1.153304702448 7 0 6 8 0132 0132 1023 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120794271589 0.842367002383 1 7 9 0 1023 0132 0132 0132 1 1 0 1 0 0 -1 1 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 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 0.534150993309 1.136588885858 10 7 0 11 0132 0321 0132 0132 1 1 1 1 0 0 -1 1 0 0 0 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 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 0.874035802385 0.885627190802 11 11 1 8 0132 1302 0132 1023 1 1 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 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 0.300550719597 0.878984397690 10 10 2 1 3120 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 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 0 0 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 0.418036161782 0.797428204980 2 3 12 4 0132 0132 0132 0321 1 1 1 0 0 0 0 0 0 0 -1 1 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 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 0.474935277871 1.065719282248 9 12 2 5 2103 0132 0132 1023 1 1 1 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715836972198 0.985613275860 12 11 8 3 0132 0132 2103 0132 1 1 1 0 0 0 -1 1 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 1 -1 -1 0 0 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085540448783 0.850668129123 4 6 12 6 0132 0132 1023 3120 1 1 1 1 0 0 1 -1 0 0 0 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 0 0 0 0 0 0 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 0.485425628278 0.540472913670 5 9 4 5 0132 0132 0132 2031 1 1 0 1 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554307749850 0.696587840302 9 8 10 7 0132 0132 1023 0132 1 1 0 1 0 0 0 0 0 0 -1 1 -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 0 0 0 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716554946443 0.639157762179 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0110_8']), 'c_1100_3' : negation(d['c_0110_8']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_8']), 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1100_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_0101_6'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0101_7, c_0110_8, c_1001_0, c_1001_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3700713415361956/320106844331*c_1100_1^12 - 49530547959292947/320106844331*c_1100_1^11 + 350666615348140079/320106844331*c_1100_1^10 - 1515959779479419088/320106844331*c_1100_1^9 + 4365798990385933986/320106844331*c_1100_1^8 - 8746665754218786809/320106844331*c_1100_1^7 + 12636624586503807894/320106844331*c_1100_1^6 - 13495179150776027002/320106844331*c_1100_1^5 + 10654774568181796547/320106844331*c_1100_1^4 - 6113213170404869230/320106844331*c_1100_1^3 + 2495982505888660629/320106844331*c_1100_1^2 - 673699285299584270/320106844331*c_1100_1 + 96323078990766208/320106844331, c_0011_0 - 1, c_0011_10 - 568489883/16847728649*c_1100_1^12 + 14430871317/33695457298*c_1100_1^11 - 50303184341/16847728649*c_1100_1^10 + 431797761459/33695457298*c_1100_1^9 - 640417500698/16847728649*c_1100_1^8 + 1376648364628/16847728649*c_1100_1^7 - 2233464024218/16847728649*c_1100_1^6 + 2737256793450/16847728649*c_1100_1^5 - 5039646037229/33695457298*c_1100_1^4 + 1741843765895/16847728649*c_1100_1^3 - 860594452213/16847728649*c_1100_1^2 + 590580978231/33695457298*c_1100_1 - 125536713921/33695457298, c_0011_11 + 107569272435/269563658384*c_1100_1^12 - 89254330970/16847728649*c_1100_1^11 + 10036799956421/269563658384*c_1100_1^10 - 21482218300763/134781829192*c_1100_1^9 + 30546812799065/67390914596*c_1100_1^8 - 120458189515983/134781829192*c_1100_1^7 + 170730784256423/134781829192*c_1100_1^6 - 356652389397579/269563658384*c_1100_1^5 + 136904175202481/134781829192*c_1100_1^4 - 37748434412821/67390914596*c_1100_1^3 + 58403987091257/269563658384*c_1100_1^2 - 14201640610961/269563658384*c_1100_1 + 100300324225/16847728649, c_0101_0 + 41375736879/134781829192*c_1100_1^12 - 68696934387/16847728649*c_1100_1^11 + 3859410607137/134781829192*c_1100_1^10 - 8248664023087/67390914596*c_1100_1^9 + 11692334113617/33695457298*c_1100_1^8 - 45877161236035/67390914596*c_1100_1^7 + 64526723787339/67390914596*c_1100_1^6 - 133456508527927/134781829192*c_1100_1^5 + 50511425244277/67390914596*c_1100_1^4 - 13701496187001/33695457298*c_1100_1^3 + 20895069470189/134781829192*c_1100_1^2 - 5027706260733/134781829192*c_1100_1 + 78897204067/16847728649, c_0101_1 - 1, c_0101_10 + 1186873937/33695457298*c_1100_1^12 - 23692255555/33695457298*c_1100_1^11 + 211332161145/33695457298*c_1100_1^10 - 1154670687149/33695457298*c_1100_1^9 + 2058068710765/16847728649*c_1100_1^8 - 5028518010768/16847728649*c_1100_1^7 + 8643352297834/16847728649*c_1100_1^6 - 21513648152573/33695457298*c_1100_1^5 + 19718274097779/33695457298*c_1100_1^4 - 6553908462045/16847728649*c_1100_1^3 + 6168441513215/33695457298*c_1100_1^2 - 996648938039/16847728649*c_1100_1 + 342984593769/33695457298, c_0101_12 + 1158337818/16847728649*c_1100_1^12 - 15891817792/16847728649*c_1100_1^11 + 115989055049/16847728649*c_1100_1^10 - 523129276947/16847728649*c_1100_1^9 + 1599707756648/16847728649*c_1100_1^8 - 3465259147128/16847728649*c_1100_1^7 + 5501788281180/16847728649*c_1100_1^6 - 6508189833561/16847728649*c_1100_1^5 + 5744270709991/16847728649*c_1100_1^4 - 3705082086461/16847728649*c_1100_1^3 + 1662586198967/16847728649*c_1100_1^2 - 492876482700/16847728649*c_1100_1 + 73345529683/16847728649, c_0101_6 - 24056962321/33695457298*c_1100_1^12 + 324617559515/33695457298*c_1100_1^11 - 2311733280111/33695457298*c_1100_1^10 + 10064589508923/33695457298*c_1100_1^9 - 14594524591146/16847728649*c_1100_1^8 + 29431008083402/16847728649*c_1100_1^7 - 42716235512270/16847728649*c_1100_1^6 + 91430809653401/33695457298*c_1100_1^5 - 72205637416985/33695457298*c_1100_1^4 + 20647185771036/16847728649*c_1100_1^3 - 16735595356235/33695457298*c_1100_1^2 + 2259145445841/16847728649*c_1100_1 - 639645573949/33695457298, c_0101_7 + 270718325873/269563658384*c_1100_1^12 - 224874641815/16847728649*c_1100_1^11 + 25348404036407/269563658384*c_1100_1^10 - 54463811906177/134781829192*c_1100_1^9 + 77960635826531/67390914596*c_1100_1^8 - 310594892220973/134781829192*c_1100_1^7 + 446768756219525/134781829192*c_1100_1^6 - 951621393037001/269563658384*c_1100_1^5 + 375223081305243/134781829192*c_1100_1^4 - 107841963275163/67390914596*c_1100_1^3 + 176767461572611/269563658384*c_1100_1^2 - 47745733317819/269563658384*c_1100_1 + 422496595729/16847728649, c_0110_8 + 3975910335/16847728649*c_1100_1^12 - 107963963441/33695457298*c_1100_1^11 + 387315391227/16847728649*c_1100_1^10 - 3409138805313/33695457298*c_1100_1^9 + 5023380553906/16847728649*c_1100_1^8 - 10363206199226/16847728649*c_1100_1^7 + 15513568290516/16847728649*c_1100_1^6 - 17264533984388/16847728649*c_1100_1^5 + 28665499392283/33695457298*c_1100_1^4 - 8743486658690/16847728649*c_1100_1^3 + 3833987789989/16847728649*c_1100_1^2 - 2258292228293/33695457298*c_1100_1 + 348383798173/33695457298, c_1001_0 + 126160102059/269563658384*c_1100_1^12 - 108315894406/16847728649*c_1100_1^11 + 12532308195037/269563658384*c_1100_1^10 - 27828092095195/134781829192*c_1100_1^9 + 41340757644917/67390914596*c_1100_1^8 - 171699520519151/134781829192*c_1100_1^7 + 257745314832839/134781829192*c_1100_1^6 - 572557683313363/269563658384*c_1100_1^5 + 235935855742513/134781829192*c_1100_1^4 - 70931443324581/67390914596*c_1100_1^3 + 121521030432385/269563658384*c_1100_1^2 - 34872671445433/269563658384*c_1100_1 + 334560978070/16847728649, c_1001_11 + 7575178699/16847728649*c_1100_1^12 - 198968458173/33695457298*c_1100_1^11 + 692825935508/16847728649*c_1100_1^10 - 5860289066847/33695457298*c_1100_1^9 + 8212414533573/16847728649*c_1100_1^8 - 15915122589045/16847728649*c_1100_1^7 + 22147329426885/16847728649*c_1100_1^6 - 22747729977088/16847728649*c_1100_1^5 + 34457685642061/33695457298*c_1100_1^4 - 9478991017797/16847728649*c_1100_1^3 + 3738176091133/16847728649*c_1100_1^2 - 1908052253301/33695457298*c_1100_1 + 225224100113/33695457298, c_1100_1^13 - 14*c_1100_1^12 + 103*c_1100_1^11 - 468*c_1100_1^10 + 1432*c_1100_1^9 - 3090*c_1100_1^8 + 4870*c_1100_1^7 - 5749*c_1100_1^6 + 5124*c_1100_1^5 - 3424*c_1100_1^4 + 1691*c_1100_1^3 - 597*c_1100_1^2 + 138*c_1100_1 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.510 Total time: 0.710 seconds, Total memory usage: 32.09MB