Magma V2.19-8 Wed Aug 21 2013 00:54:21 on localhost [Seed = 256449194] Type ? for help. Type -D to quit. Loading file "L12n222__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n222 geometric_solution 12.12112015 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 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 -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 1.255888055253 1.010265953616 0 5 5 6 0132 0132 1302 0132 1 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 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 1.067169319916 0.990514085537 4 0 8 7 0213 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 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 0.770193218479 1.214615335641 9 9 9 0 0132 1302 3012 0132 1 1 1 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 1 0 -1 -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 0.472650126327 0.641707654300 2 7 0 8 0213 1023 0132 3201 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 -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 -0.030001275493 1.088905542453 1 1 10 11 2031 0132 0132 0132 1 1 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 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 0.496610768334 0.467230565166 9 8 1 7 2103 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655049631250 0.621267672122 4 6 2 12 1023 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138272751217 0.617285250837 6 4 10 2 1023 2310 3012 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 -1 0 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 0.191706392082 0.974524112150 3 3 6 3 0132 1230 2103 2031 1 1 0 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 0 0 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 0.764400803690 0.930163959771 11 8 12 5 3120 1230 1230 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 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 0.564691607697 0.456439773323 12 12 5 10 1302 3012 0132 3120 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 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 0.794117640504 0.996197150211 11 11 7 10 1230 2031 0132 3012 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794117640504 0.996197150211 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_8'], '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : 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' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : negation(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_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_0101_7, c_0101_8, c_0110_6, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 223783355680198782373165786100864/122126678423843501453599905715*c_\ 1001_10^13 - 1764821890009063481623538237805184/1221266784238435014\ 53599905715*c_1001_10^12 - 43907215508885044315450901179424/6601442\ 07696451359208648139*c_1001_10^11 - 25388483341580159341066089131956896/122126678423843501453599905715*\ c_1001_10^10 - 4490035403666487556841884656661232/93943598787571924\ 19507685055*c_1001_10^9 - 100614192599976425004577509163898352/1221\ 26678423843501453599905715*c_1001_10^8 - 130269942842970834257359988011389218/122126678423843501453599905715\ *c_1001_10^7 - 122531443063047944631631537430333946/122126678423843\ 501453599905715*c_1001_10^6 - 60840119439714688141623440956906/9430\ 6315385207337029806877*c_1001_10^5 - 30205676050582056541405141839707574/122126678423843501453599905715*\ c_1001_10^4 - 4632174651089688724587956128652902/122126678423843501\ 453599905715*c_1001_10^3 + 550016506382706230311432504203906/122126\ 678423843501453599905715*c_1001_10^2 + 28614122144241877415417332853734/24425335684768700290719981143*c_10\ 01_10 - 17704623934171992039249215274098/12212667842384350145359990\ 5715, c_0011_0 - 1, c_0011_10 + 65274525069/57151795042*c_1001_10^13 + 447559434927/57151795042*c_1001_10^12 + 7532723711581/228607180168*c_1001_10^11 + 21114385885119/228607180168*c_1001_10^10 + 86078397812191/457214360336*c_1001_10^9 + 126342212008365/457214360336*c_1001_10^8 + 1045538939758741/3657714882688*c_1001_10^7 + 654970106019799/3657714882688*c_1001_10^6 + 141409103894495/3657714882688*c_1001_10^5 - 108619914142807/3657714882688*c_1001_10^4 - 47330510038353/3657714882688*c_1001_10^3 + 22190228387949/3657714882688*c_1001_10^2 + 21197156935581/3657714882688*c_1001_10 + 3247362895363/3657714882688, c_0011_11 + 37732678719/28575897521*c_1001_10^13 + 302702937496/28575897521*c_1001_10^12 + 5698361992039/114303590084*c_1001_10^11 + 4565253919576/28575897521*c_1001_10^10 + 86723226176689/228607180168*c_1001_10^9 + 38960803580397/57151795042*c_1001_10^8 + 1710574394780295/1828857441344*c_1001_10^7 + 219217251255363/228607180168*c_1001_10^6 + 1300315902194115/1828857441344*c_1001_10^5 + 324438425504887/914428720672*c_1001_10^4 + 194499684504329/1828857441344*c_1001_10^3 + 5562656501903/457214360336*c_1001_10^2 - 1011950110475/1828857441344*c_1001_10 + 36420674835/914428720672, c_0011_12 + 171677914117/57151795042*c_1001_10^13 + 1408860234983/57151795042*c_1001_10^12 + 26526098966741/228607180168*c_1001_10^11 + 84945627214071/228607180168*c_1001_10^10 + 400085727857607/457214360336*c_1001_10^9 + 709255215136277/457214360336*c_1001_10^8 + 7596358224106189/3657714882688*c_1001_10^7 + 7487669921334095/3657714882688*c_1001_10^6 + 5169877844237991/3657714882688*c_1001_10^5 + 2284004148369553/3657714882688*c_1001_10^4 + 547143292543255/3657714882688*c_1001_10^3 + 58348709143509/3657714882688*c_1001_10^2 + 2950473091637/3657714882688*c_1001_10 - 578904159301/3657714882688, c_0011_3 - 1, c_0011_4 + 22974891552/28575897521*c_1001_10^13 + 143379896653/57151795042*c_1001_10^12 + 14368041752/28575897521*c_1001_10^11 - 8415959417139/228607180168*c_1001_10^10 - 5061155622354/28575897521*c_1001_10^9 - 227866347375113/457214360336*c_1001_10^8 - 54705411025615/57151795042*c_1001_10^7 - 4842415278012235/3657714882688*c_1001_10^6 - 292853799409771/228607180168*c_1001_10^5 - 3017344418150661/3657714882688*c_1001_10^4 - 140997156087729/457214360336*c_1001_10^3 - 188914064526273/3657714882688*c_1001_10^2 + 193479691737/457214360336*c_1001_10 + 4167121470577/3657714882688, c_0011_6 + 132851866934/28575897521*c_1001_10^13 + 2069269113615/57151795042*c_1001_10^12 + 9614468395835/57151795042*c_1001_10^11 + 121926652295311/228607180168*c_1001_10^10 + 143967967055865/114303590084*c_1001_10^9 + 1034844960870461/457214360336*c_1001_10^8 + 2867734768405363/914428720672*c_1001_10^7 + 12076365357148231/3657714882688*c_1001_10^6 + 2379368120018073/914428720672*c_1001_10^5 + 5404342051923801/3657714882688*c_1001_10^4 + 524763695868739/914428720672*c_1001_10^3 + 452662320454517/3657714882688*c_1001_10^2 + 5216337850061/914428720672*c_1001_10 - 4424455270773/3657714882688, c_0101_0 + 197964801480/28575897521*c_1001_10^13 + 1470029696348/28575897521*c_1001_10^12 + 6631569541210/28575897521*c_1001_10^11 + 20348211636511/28575897521*c_1001_10^10 + 46534586824893/28575897521*c_1001_10^9 + 161371686518937/57151795042*c_1001_10^8 + 861614972229225/228607180168*c_1001_10^7 + 1741708205896767/457214360336*c_1001_10^6 + 165985339067421/57151795042*c_1001_10^5 + 745894492440139/457214360336*c_1001_10^4 + 151927288176737/228607180168*c_1001_10^3 + 72567151146033/457214360336*c_1001_10^2 + 1014136186183/114303590084*c_1001_10 - 1028253371091/457214360336, c_0101_5 - 138090903163/57151795042*c_1001_10^13 - 996473925163/57151795042*c_1001_10^12 - 17433796847035/228607180168*c_1001_10^11 - 51364181406635/228607180168*c_1001_10^10 - 222454923201761/457214360336*c_1001_10^9 - 356271270520553/457214360336*c_1001_10^8 - 3371601058237907/3657714882688*c_1001_10^7 - 2772794543907699/3657714882688*c_1001_10^6 - 1441582988824509/3657714882688*c_1001_10^5 - 333777967657873/3657714882688*c_1001_10^4 + 21203851526655/3657714882688*c_1001_10^3 + 12609002046247/3657714882688*c_1001_10^2 - 15740778843999/3657714882688*c_1001_10 - 3557131712643/3657714882688, c_0101_7 + 15189915169/57151795042*c_1001_10^13 + 47959215979/28575897521*c_1001_10^12 + 1321160455969/228607180168*c_1001_10^11 + 1238956873715/114303590084*c_1001_10^10 + 1701151663027/457214360336*c_1001_10^9 - 9914148651175/228607180168*c_1001_10^8 - 550859161070807/3657714882688*c_1001_10^7 - 526399634399045/1828857441344*c_1001_10^6 - 1331622940079673/3657714882688*c_1001_10^5 - 559097288728907/1828857441344*c_1001_10^4 - 583201254470965/3657714882688*c_1001_10^3 - 75116439857259/1828857441344*c_1001_10^2 - 4789114839163/3657714882688*c_1001_10 + 1958303825939/1828857441344, c_0101_8 + 680678669819/57151795042*c_1001_10^13 + 5346451057327/57151795042*c_1001_10^12 + 98280531711739/228607180168*c_1001_10^11 + 306847579298031/228607180168*c_1001_10^10 + 1410763623258177/457214360336*c_1001_10^9 + 2434524113482133/457214360336*c_1001_10^8 + 25306969215008979/3657714882688*c_1001_10^7 + 24011127683802519/3657714882688*c_1001_10^6 + 15780348646289773/3657714882688*c_1001_10^5 + 6448605137864797/3657714882688*c_1001_10^4 + 1294089972489921/3657714882688*c_1001_10^3 + 8033359623845/3657714882688*c_1001_10^2 - 46477366122513/3657714882688*c_1001_10 - 3638713133049/3657714882688, c_0110_6 + 65112934546/28575897521*c_1001_10^13 + 870790279081/57151795042*c_1001_10^12 + 3648670686585/57151795042*c_1001_10^11 + 40859040796777/228607180168*c_1001_10^10 + 42170380243707/114303590084*c_1001_10^9 + 256128531281035/457214360336*c_1001_10^8 + 578725120511537/914428720672*c_1001_10^7 + 1857300290025905/3657714882688*c_1001_10^6 + 276397305060663/914428720672*c_1001_10^5 + 562813887597311/3657714882688*c_1001_10^4 + 82945456838209/914428720672*c_1001_10^3 + 127874888713747/3657714882688*c_1001_10^2 + 2896751639403/914428720672*c_1001_10 - 3801571697955/3657714882688, c_1001_10^14 + 8*c_1001_10^13 + 149/4*c_1001_10^12 + 118*c_1001_10^11 + 2205/8*c_1001_10^10 + 485*c_1001_10^9 + 41345/64*c_1001_10^8 + 5079/8*c_1001_10^7 + 7045/16*c_1001_10^6 + 1581/8*c_1001_10^5 + 1563/32*c_1001_10^4 + 29/8*c_1001_10^3 - 13/16*c_1001_10^2 - 1/8*c_1001_10 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.040 Total time: 1.250 seconds, Total memory usage: 32.09MB