Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 341149937] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0608 geometric_solution 4.61516451 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 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 1 0 -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 2.358985731558 0.137604235327 0 2 2 0 0132 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.003147336235 0.453168495492 1 1 3 3 2310 0132 0132 3201 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 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 0.245742317858 0.248185787667 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 0 0 1 -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 -1 1 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 1.055261238272 0.965967085606 3 6 5 5 0132 0132 0213 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0.381469941632 0.724581526147 4 4 6 3 3201 0213 1023 0132 0 0 0 0 0 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 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 0.381469941632 0.724581526147 6 4 5 6 3012 0132 1023 1230 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 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 1.431098446623 1.080597737294 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 54627510162924166/284163959843807*c_0101_6^19 + 646369610549561396/284163959843807*c_0101_6^17 + 3495487268913700488/284163959843807*c_0101_6^15 - 3185368619094237124/284163959843807*c_0101_6^13 - 202395500066528477160/284163959843807*c_0101_6^11 + 414178370807922882130/284163959843807*c_0101_6^9 - 241266081037474588237/284163959843807*c_0101_6^7 + 62456525636149204225/284163959843807*c_0101_6^5 - 7450154248505926219/284163959843807*c_0101_6^3 + 282239695355027024/284163959843807*c_0101_6, c_0011_0 - 1, c_0011_3 - 230981740519814/284163959843807*c_0101_6^18 + 2708163743017001/284163959843807*c_0101_6^16 + 15067981723218890/284163959843807*c_0101_6^14 - 11802068556433323/284163959843807*c_0101_6^12 - 856808994450201273/284163959843807*c_0101_6^10 + 1658820337971812309/284163959843807*c_0101_6^8 - 855382181729310758/284163959843807*c_0101_6^6 + 196502903896147384/284163959843807*c_0101_6^4 - 20249354612225862/284163959843807*c_0101_6^2 + 567309334181516/284163959843807, c_0011_5 + 240498837796345/284163959843807*c_0101_6^19 - 2856571362794043/284163959843807*c_0101_6^17 - 15252037647607746/284163959843807*c_0101_6^15 + 14633310660619796/284163959843807*c_0101_6^13 + 889878866680306928/284163959843807*c_0101_6^11 - 1863636803805050030/284163959843807*c_0101_6^9 + 1173870136103006758/284163959843807*c_0101_6^7 - 369953677179659986/284163959843807*c_0101_6^5 + 58652928408460170/284163959843807*c_0101_6^3 - 3811467348477716/284163959843807*c_0101_6, c_0101_0 + 1359718973838598/284163959843807*c_0101_6^19 - 16147382534658655/284163959843807*c_0101_6^17 - 86320970598859698/284163959843807*c_0101_6^15 + 83174653896257471/284163959843807*c_0101_6^13 + 5035086418216317679/284163959843807*c_0101_6^11 - 10527396623553105094/284163959843807*c_0101_6^9 + 6409742515017475762/284163959843807*c_0101_6^7 - 1740547028492613404/284163959843807*c_0101_6^5 + 222367001470671704/284163959843807*c_0101_6^3 - 10049911665688601/284163959843807*c_0101_6, c_0101_1 + 314570562528194/284163959843807*c_0101_6^18 - 3737721361116839/284163959843807*c_0101_6^16 - 19943214940875925/284163959843807*c_0101_6^14 + 19336555118804710/284163959843807*c_0101_6^12 + 1164537446669191932/284163959843807*c_0101_6^10 - 2442911315068052640/284163959843807*c_0101_6^8 + 1509823806349789444/284163959843807*c_0101_6^6 - 431538861668834210/284163959843807*c_0101_6^4 + 60449911118169778/284163959843807*c_0101_6^2 - 3101059804130266/284163959843807, c_0101_3 - 179652000116760/284163959843807*c_0101_6^18 + 2105645225813458/284163959843807*c_0101_6^16 + 11729256810176047/284163959843807*c_0101_6^14 - 9151357777196785/284163959843807*c_0101_6^12 - 666548988783400689/284163959843807*c_0101_6^10 + 1287635128163339831/284163959843807*c_0101_6^8 - 654513452680715351/284163959843807*c_0101_6^6 + 141321034197191664/284163959843807*c_0101_6^4 - 12821880703890822/284163959843807*c_0101_6^2 + 276271877972195/284163959843807, c_0101_6^20 - 12*c_0101_6^18 - 62*c_0101_6^16 + 69*c_0101_6^14 + 3695*c_0101_6^12 - 8203*c_0101_6^10 + 5701*c_0101_6^8 - 1908*c_0101_6^6 + 339*c_0101_6^4 - 30*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB