Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 2833855566] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1851 geometric_solution 5.49371549 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 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 0.659656908308 0.420634673750 0 2 4 3 0132 0213 0132 0132 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 -1 0 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 0.500128884028 0.436321740434 3 4 1 0 0132 1023 0213 0132 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 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 0.500128884028 0.436321740434 2 5 1 5 0132 0132 0132 1023 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 0 -1 1 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 1.733988659858 1.694978008959 2 6 6 1 1023 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545425587760 0.544929876060 5 3 5 3 2310 0132 3201 1023 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462109828582 0.376870985181 4 4 6 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.708119524422 0.647288292227 ==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' : negation(d['1']), '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_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' : negation(d['1']), 's_0_6' : 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_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 342432816198804097/832348794099642784*c_0101_6^16 - 2381086502074202781/208087198524910696*c_0101_6^14 + 33009843272764428803/416174397049821392*c_0101_6^12 + 21673240348951433445/416174397049821392*c_0101_6^10 - 362176495428129705395/416174397049821392*c_0101_6^8 - 1173247617927921914311/832348794099642784*c_0101_6^6 - 177538664350189221853/416174397049821392*c_0101_6^4 - 12683952754126143591/104043599262455348*c_0101_6^2 - 23440183034353497105/832348794099642784, c_0011_0 - 1, c_0011_2 - 30337666135799/1793855159697506*c_0101_6^17 + 428516723156195/896927579848753*c_0101_6^15 - 3107990918308901/896927579848753*c_0101_6^13 - 658477253653870/896927579848753*c_0101_6^11 + 33028968076020722/896927579848753*c_0101_6^9 + 75852499666111501/1793855159697506*c_0101_6^7 - 7783816330822264/896927579848753*c_0101_6^5 - 3450059875950851/896927579848753*c_0101_6^3 - 1498703392944299/1793855159697506*c_0101_6, c_0101_0 + 6487369670661/896927579848753*c_0101_6^16 - 180701509096897/896927579848753*c_0101_6^14 + 1257385817974066/896927579848753*c_0101_6^12 + 787756441572671/896927579848753*c_0101_6^10 - 13840991506596886/896927579848753*c_0101_6^8 - 22158934825103149/896927579848753*c_0101_6^6 - 3642891398177664/896927579848753*c_0101_6^4 + 2871718708430602/896927579848753*c_0101_6^2 - 794962403117409/896927579848753, c_0101_1 + 21428808099244/896927579848753*c_0101_6^17 - 594819709852322/896927579848753*c_0101_6^15 + 4098081684275337/896927579848753*c_0101_6^13 + 2944547243129818/896927579848753*c_0101_6^11 - 45195103477837738/896927579848753*c_0101_6^9 - 75847878949740363/896927579848753*c_0101_6^7 - 26599945708181034/896927579848753*c_0101_6^5 - 7523723989708861/896927579848753*c_0101_6^3 + 231693385071942/896927579848753*c_0101_6, c_0101_4 - 56846613901733/1793855159697506*c_0101_6^17 + 799216243781452/896927579848753*c_0101_6^15 - 5721280748116193/896927579848753*c_0101_6^13 - 1912495578095528/896927579848753*c_0101_6^11 + 61110437371641325/896927579848753*c_0101_6^9 + 157896539991169399/1793855159697506*c_0101_6^7 + 1147071390710533/896927579848753*c_0101_6^5 + 1957966697812311/896927579848753*c_0101_6^3 - 120482838169191/1793855159697506*c_0101_6, c_0101_5 + 2448259360865/896927579848753*c_0101_6^16 - 72699719181242/896927579848753*c_0101_6^14 + 601009518117267/896927579848753*c_0101_6^12 - 604528691165293/896927579848753*c_0101_6^10 - 5557304393443266/896927579848753*c_0101_6^8 + 1273823507276627/896927579848753*c_0101_6^6 + 11455679993578128/896927579848753*c_0101_6^4 + 2223150799645006/896927579848753*c_0101_6^2 + 569214459824111/896927579848753, c_0101_6^18 - 28*c_0101_6^16 + 198*c_0101_6^14 + 90*c_0101_6^12 - 2134*c_0101_6^10 - 3031*c_0101_6^8 - 450*c_0101_6^6 - 168*c_0101_6^4 - 17*c_0101_6^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB