Magma V2.19-8 Wed Aug 21 2013 00:51:42 on localhost [Seed = 1427324971] Type ? for help. Type -D to quit. Loading file "L11n215__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n215 geometric_solution 11.81582831 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 0321 0 1 1 1 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 1 0 -1 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 0.467839691782 0.617764174063 0 0 2 4 0132 0321 1302 0132 0 1 1 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 0 0 0 0 1 2 -3 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 0.220924917050 1.028738440978 1 0 3 4 2031 0132 0321 2031 0 0 1 1 0 0 0 0 -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 -1 0 1 -2 0 2 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 -0.222712801331 1.487570906517 5 6 2 0 0132 0132 0321 0132 0 1 1 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560792701885 0.600869352157 5 2 1 7 2103 1302 0132 0132 0 1 0 1 0 0 1 -1 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 3 -3 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 0.792868767335 1.084705433218 3 8 4 9 0132 0132 2103 0132 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.279701006078 1.201294415245 10 3 8 11 0132 0132 0132 0132 0 1 0 1 0 0 0 0 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 -1 0 1 0 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.156773287020 0.920653386765 12 11 4 9 0132 3120 0132 3120 0 1 1 0 0 -1 1 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 -2 3 -1 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 1.179748667908 1.055576642052 9 5 12 6 3120 0132 0132 0132 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 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 0.270659296384 0.819897779412 7 10 5 8 3120 3120 0132 3120 0 1 1 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 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 0.270659296384 0.819897779412 6 9 12 11 0132 3120 2310 3120 0 1 1 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 1 -1 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 0.605185099755 0.723633787421 10 7 6 12 3120 3120 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.618391423155 0.814058782776 7 10 11 8 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581016291690 1.064911733189 ==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_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), '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_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : negation(d['c_1001_11']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_1100_11'], '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_1100_11'], '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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), '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_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_12'])})} 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_4, c_0101_0, c_0101_12, c_0101_2, c_0101_7, c_0110_2, c_1001_10, c_1001_11, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 28372269866361851555/9223180652025236968*c_1100_11^13 - 16572353674718267829/4611590326012618484*c_1100_11^12 + 21852314355082277605/9223180652025236968*c_1100_11^11 - 44324778176502661253/4611590326012618484*c_1100_11^10 - 75878023502817276257/9223180652025236968*c_1100_11^9 - 9497808504892096265/1152897581503154621*c_1100_11^8 - 16344930012734701961/271270019177212852*c_1100_11^7 + 46633276584767540633/2305795163006309242*c_1100_11^6 - 441383117473595055461/9223180652025236968*c_1100_11^5 + 26773374667072299731/1152897581503154621*c_1100_11^4 + 35517767693495189035/2305795163006309242*c_1100_11^3 + 66663587070555565765/4611590326012618484*c_1100_11^2 + 72319589069214634459/9223180652025236968*c_1100_11 + 22763824492382904513/2305795163006309242, c_0011_0 - 1, c_0011_10 + 356545477067735/2399370617072122*c_1100_11^13 - 591881510368091/2399370617072122*c_1100_11^12 + 446458131119275/2399370617072122*c_1100_11^11 - 1407525622326001/2399370617072122*c_1100_11^10 - 99633825571531/2399370617072122*c_1100_11^9 - 590212426447767/2399370617072122*c_1100_11^8 - 171894428655049/70569724031533*c_1100_11^7 + 3054831708241834/1199685308536061*c_1100_11^6 - 6096561839665571/2399370617072122*c_1100_11^5 + 8851290937008423/2399370617072122*c_1100_11^4 - 968207694694665/1199685308536061*c_1100_11^3 + 1973513070231650/1199685308536061*c_1100_11^2 - 841822770685105/2399370617072122*c_1100_11 - 181962163024701/2399370617072122, c_0011_11 + c_1100_11, c_0011_12 - 147086069967275/2399370617072122*c_1100_11^13 + 443175905720685/2399370617072122*c_1100_11^12 - 490080603902647/2399370617072122*c_1100_11^11 + 587369314762303/2399370617072122*c_1100_11^10 - 477257060680387/2399370617072122*c_1100_11^9 + 55807969863243/2399370617072122*c_1100_11^8 + 76430086113846/70569724031533*c_1100_11^7 - 2586931865599923/1199685308536061*c_1100_11^6 + 5581820682997697/2399370617072122*c_1100_11^5 - 3273566392581163/2399370617072122*c_1100_11^4 + 1682453316169443/1199685308536061*c_1100_11^3 - 502135196018956/1199685308536061*c_1100_11^2 + 981403577529035/2399370617072122*c_1100_11 - 3153406377332603/2399370617072122, c_0011_4 - 1, c_0101_0 + 1170955023018965/4798741234144244*c_1100_11^13 - 1218622211831159/4798741234144244*c_1100_11^12 + 1583371461778533/4798741234144244*c_1100_11^11 - 4858940467675721/4798741234144244*c_1100_11^10 - 3002234029438997/4798741234144244*c_1100_11^9 - 5705743275122293/4798741234144244*c_1100_11^8 - 737539200703401/141139448063066*c_1100_11^7 + 2174451163466515/2399370617072122*c_1100_11^6 - 32784061417975043/4798741234144244*c_1100_11^5 + 18758996231976379/4798741234144244*c_1100_11^4 + 140740893531256/1199685308536061*c_1100_11^3 + 5287398674558051/2399370617072122*c_1100_11^2 + 11641183563363467/4798741234144244*c_1100_11 - 2094910347300677/4798741234144244, c_0101_12 - 452535768957415/4798741234144244*c_1100_11^13 + 747348641596709/4798741234144244*c_1100_11^12 - 1008123680232231/4798741234144244*c_1100_11^11 + 2460596287781707/4798741234144244*c_1100_11^10 - 487661627138897/4798741234144244*c_1100_11^9 + 2563534282793079/4798741234144244*c_1100_11^8 + 230683997766951/141139448063066*c_1100_11^7 - 3429178686435313/2399370617072122*c_1100_11^6 + 15425353226689845/4798741234144244*c_1100_11^5 - 16541730282255601/4798741234144244*c_1100_11^4 + 3227338691868844/1199685308536061*c_1100_11^3 - 5468453351727967/2399370617072122*c_1100_11^2 + 2676211550090915/4798741234144244*c_1100_11 - 1125710157984561/4798741234144244, c_0101_2 - 1, c_0101_7 + 356545477067735/2399370617072122*c_1100_11^13 - 591881510368091/2399370617072122*c_1100_11^12 + 446458131119275/2399370617072122*c_1100_11^11 - 1407525622326001/2399370617072122*c_1100_11^10 - 99633825571531/2399370617072122*c_1100_11^9 - 590212426447767/2399370617072122*c_1100_11^8 - 171894428655049/70569724031533*c_1100_11^7 + 3054831708241834/1199685308536061*c_1100_11^6 - 6096561839665571/2399370617072122*c_1100_11^5 + 8851290937008423/2399370617072122*c_1100_11^4 - 968207694694665/1199685308536061*c_1100_11^3 + 1973513070231650/1199685308536061*c_1100_11^2 - 841822770685105/2399370617072122*c_1100_11 - 181962163024701/2399370617072122, c_0110_2 - 582609960110375/4798741234144244*c_1100_11^13 - 108728150764835/4798741234144244*c_1100_11^12 + 105724821028841/4798741234144244*c_1100_11^11 + 1684257309348727/4798741234144244*c_1100_11^10 + 3957348091671743/4798741234144244*c_1100_11^9 + 4763122119623855/4798741234144244*c_1100_11^8 + 411816091024571/141139448063066*c_1100_11^7 + 5941973508189087/2399370617072122*c_1100_11^6 + 9841692014986929/4798741234144244*c_1100_11^5 + 3811183711854371/4798741234144244*c_1100_11^4 - 1573536126412923/1199685308536061*c_1100_11^3 - 5806345509075681/2399370617072122*c_1100_11^2 - 4610106064994873/4798741234144244*c_1100_11 - 3538613537969581/4798741234144244, c_1001_10 + 220729817088785/1199685308536061*c_1100_11^13 - 302236000261341/1199685308536061*c_1100_11^12 + 146217311601792/1199685308536061*c_1100_11^11 - 577440927846188/1199685308536061*c_1100_11^10 - 532723896527199/1199685308536061*c_1100_11^9 - 261841420841704/1199685308536061*c_1100_11^8 - 14673440064216/4151160237149*c_1100_11^7 + 2324622794531747/1199685308536061*c_1100_11^6 - 2348035394635622/1199685308536061*c_1100_11^5 + 858546831345210/1199685308536061*c_1100_11^4 + 1699162532134799/1199685308536061*c_1100_11^3 + 195194517818216/1199685308536061*c_1100_11^2 + 1005686242916714/1199685308536061*c_1100_11 - 89397950786613/1199685308536061, c_1001_11 + 958711280191865/4798741234144244*c_1100_11^13 - 436712322908179/4798741234144244*c_1100_11^12 + 129579186948481/4798741234144244*c_1100_11^11 - 2953364812310809/4798741234144244*c_1100_11^10 - 4580136427145985/4798741234144244*c_1100_11^9 - 4827733197724869/4798741234144244*c_1100_11^8 - 595703634827817/141139448063066*c_1100_11^7 - 3044807880840025/2399370617072122*c_1100_11^6 - 12849902788444803/4798741234144244*c_1100_11^5 + 3899289170702771/4798741234144244*c_1100_11^4 + 2763803814434864/1199685308536061*c_1100_11^3 + 5151362392676107/2399370617072122*c_1100_11^2 + 6807234405866835/4798741234144244*c_1100_11 + 6087781607039131/4798741234144244, c_1100_11^14 - 8/5*c_1100_11^13 + 8/5*c_1100_11^12 - 22/5*c_1100_11^11 - 4/5*c_1100_11^10 - 12/5*c_1100_11^9 - 89/5*c_1100_11^8 + 84/5*c_1100_11^7 - 113/5*c_1100_11^6 + 138/5*c_1100_11^5 - 3/5*c_1100_11^4 + 42/5*c_1100_11^3 + c_1100_11^2 - 16/5*c_1100_11 - 31/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB