Magma V2.19-8 Wed Aug 21 2013 01:04:59 on localhost [Seed = 1124424480] Type ? for help. Type -D to quit. Loading file "L14n24905__sl2_c3.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' : 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' : negation(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' : negation(d['1']), 's_0_8' : 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' : d['1'], 's_0_2' : negation(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_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' : negation(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' : negation(d['1']), 's_3_0' : negation(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_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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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_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: 11 Groebner basis: [ t - 134923550986404609634489/1092832264632616263*c_1100_1^10 - 84554280956963991858569/364277421544205421*c_1100_1^9 + 346803332514729982570318/1092832264632616263*c_1100_1^8 - 2629918522957680841025/364277421544205421*c_1100_1^7 - 592797084299873888581502/1092832264632616263*c_1100_1^6 + 538111469829656304487520/364277421544205421*c_1100_1^5 - 663691200385036035482806/364277421544205421*c_1100_1^4 + 138868087031456063457530/121425807181401807*c_1100_1^3 - 454010084129675745155669/1092832264632616263*c_1100_1^2 + 513275494028352905041/5383410170604021*c_1100_1 - 14264183998470423503107/1092832264632616263, c_0011_0 - 1, c_0011_10 + 10336060686406106/1794470056868007*c_1100_1^10 - 257630159471588/598156685622669*c_1100_1^9 - 77773102901957531/1794470056868007*c_1100_1^8 + 6586327816848340/598156685622669*c_1100_1^7 + 58644799956089959/1794470056868007*c_1100_1^6 - 68104847316217918/598156685622669*c_1100_1^5 + 113660255795209034/598156685622669*c_1100_1^4 - 29803957617936694/199385561874223*c_1100_1^3 + 102108107376066418/1794470056868007*c_1100_1^2 - 25586425876444393/1794470056868007*c_1100_1 + 3035668512789293/1794470056868007, c_0011_11 + 68339247975740945/1794470056868007*c_1100_1^10 + 45109431165403330/598156685622669*c_1100_1^9 - 167075197591623050/1794470056868007*c_1100_1^8 - 8928811866437624/598156685622669*c_1100_1^7 + 297705095542327036/1794470056868007*c_1100_1^6 - 262046584361954260/598156685622669*c_1100_1^5 + 303565911224400881/598156685622669*c_1100_1^4 - 55460647142104290/199385561874223*c_1100_1^3 + 147139051285846195/1794470056868007*c_1100_1^2 - 27871756455171676/1794470056868007*c_1100_1 + 2481515362400135/1794470056868007, c_0101_0 + 61701940478192081/1794470056868007*c_1100_1^10 + 41919559751484313/598156685622669*c_1100_1^9 - 138937500764387420/1794470056868007*c_1100_1^8 - 6541957481905148/598156685622669*c_1100_1^7 + 266480019418470184/1794470056868007*c_1100_1^6 - 231782770991504368/598156685622669*c_1100_1^5 + 266647122688804451/598156685622669*c_1100_1^4 - 49419344126912194/199385561874223*c_1100_1^3 + 144474058191385570/1794470056868007*c_1100_1^2 - 28951047335478574/1794470056868007*c_1100_1 + 3049370275021010/1794470056868007, c_0101_1 - 1, c_0101_10 - 11180582169149645/1794470056868007*c_1100_1^10 - 6566535567795577/598156685622669*c_1100_1^9 + 31246315458747146/1794470056868007*c_1100_1^8 - 823554860937655/598156685622669*c_1100_1^7 - 45172717024659370/1794470056868007*c_1100_1^6 + 45905602304370025/598156685622669*c_1100_1^5 - 61313215697861177/598156685622669*c_1100_1^4 + 14175008506010748/199385561874223*c_1100_1^3 - 62771183615624230/1794470056868007*c_1100_1^2 + 21857248340055475/1794470056868007*c_1100_1 - 3536101938785636/1794470056868007, c_0101_12 + 30236662732822363/1794470056868007*c_1100_1^10 + 23241502966810667/598156685622669*c_1100_1^9 - 44998410990603862/1794470056868007*c_1100_1^8 - 3547775835174700/598156685622669*c_1100_1^7 + 122758778365379660/1794470056868007*c_1100_1^6 - 103830503575562819/598156685622669*c_1100_1^5 + 108859298309563099/598156685622669*c_1100_1^4 - 19192132883232275/199385561874223*c_1100_1^3 + 60886302162439103/1794470056868007*c_1100_1^2 - 11738903205563912/1794470056868007*c_1100_1 + 2149845177684139/1794470056868007, c_0101_6 - 24177059692054462/598156685622669*c_1100_1^10 - 15418513739412132/199385561874223*c_1100_1^9 + 60639857742921079/598156685622669*c_1100_1^8 + 204265886296833/199385561874223*c_1100_1^7 - 106264242908056286/598156685622669*c_1100_1^6 + 95382018669092139/199385561874223*c_1100_1^5 - 115691751702621884/199385561874223*c_1100_1^4 + 70605942669930837/199385561874223*c_1100_1^3 - 72873080647866758/598156685622669*c_1100_1^2 + 15129795319754951/598156685622669*c_1100_1 - 1470951222288988/598156685622669, c_0101_7 - 22068460864961837/598156685622669*c_1100_1^10 - 13571252610270222/199385561874223*c_1100_1^9 + 60490895413578608/598156685622669*c_1100_1^8 + 984064671228817/199385561874223*c_1100_1^7 - 98314216712897035/598156685622669*c_1100_1^6 + 88307260304556843/199385561874223*c_1100_1^5 - 108736372579133924/199385561874223*c_1100_1^4 + 65319460765764755/199385561874223*c_1100_1^3 - 66753245473782688/598156685622669*c_1100_1^2 + 16221841318139089/598156685622669*c_1100_1 - 2097585304001258/598156685622669, c_0110_8 + 57964135937621018/1794470056868007*c_1100_1^10 + 41914990718512945/598156685622669*c_1100_1^9 - 111072335739072755/1794470056868007*c_1100_1^8 - 9059611581362336/598156685622669*c_1100_1^7 + 239210410564373365/1794470056868007*c_1100_1^6 - 207868671710756026/598156685622669*c_1100_1^5 + 227745548116557281/598156685622669*c_1100_1^4 - 40246453445949433/199385561874223*c_1100_1^3 + 124256727773865832/1794470056868007*c_1100_1^2 - 30857119103063980/1794470056868007*c_1100_1 + 4174540170081299/1794470056868007, c_1001_0 + 46744502416757552/1794470056868007*c_1100_1^10 + 31896384544355395/598156685622669*c_1100_1^9 - 101596261329732845/1794470056868007*c_1100_1^8 - 3427638340376363/598156685622669*c_1100_1^7 + 194187808517850283/1794470056868007*c_1100_1^6 - 175890004071405685/598156685622669*c_1100_1^5 + 204272225106061538/598156685622669*c_1100_1^4 - 40661208861720522/199385561874223*c_1100_1^3 + 140711328022327657/1794470056868007*c_1100_1^2 - 37571659287345202/1794470056868007*c_1100_1 + 5367131551766120/1794470056868007, c_1001_11 - 19391099713689907/598156685622669*c_1100_1^10 - 14236415076708128/199385561874223*c_1100_1^9 + 37245500363897452/598156685622669*c_1100_1^8 + 4534902715739887/199385561874223*c_1100_1^7 - 82663658024950922/598156685622669*c_1100_1^6 + 68176179581404788/199385561874223*c_1100_1^5 - 71782096374405652/199385561874223*c_1100_1^4 + 32770223678772610/199385561874223*c_1100_1^3 - 21470482667751524/598156685622669*c_1100_1^2 + 3073133661939758/598156685622669*c_1100_1 - 218091430975333/598156685622669, c_1100_1^11 + 128/73*c_1100_1^10 - 205/73*c_1100_1^9 + 28/73*c_1100_1^8 + 320/73*c_1100_1^7 - 914/73*c_1100_1^6 + 1188/73*c_1100_1^5 - 813/73*c_1100_1^4 + 332/73*c_1100_1^3 - 88/73*c_1100_1^2 + 15/73*c_1100_1 - 1/73 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.590 Total time: 0.800 seconds, Total memory usage: 32.09MB