Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1242289703] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s811 geometric_solution 5.36739875 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 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 1 -1 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 1.665185540279 0.572289344642 0 2 3 0 0132 0132 0132 3201 0 0 0 0 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 -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 0.649350775418 0.558603052765 4 1 5 3 0132 0132 0132 3201 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 1 -1 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 0.291356311069 0.836149228763 5 2 4 1 1023 2310 1023 0132 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 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 0.291356311069 0.836149228763 2 4 3 4 0132 2310 1023 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 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 0.511400506336 0.851914644052 5 3 5 2 2031 1023 1302 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 -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 0.295981855274 1.370052974058 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : 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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1386719562851/67827251*c_0101_4^17 - 217974191539/339136255*c_0101_4^16 + 1608123978154/339136255*c_0101_4^15 - 1713238605991/67827251*c_0101_4^14 - 77195923191761/339136255*c_0101_4^13 + 99638932089207/339136255*c_0101_4^12 - 32954628792529/67827251*c_0101_4^11 + 49466233228821/67827251*c_0101_4^10 - 30669685602895/67827251*c_0101_4^9 + 22643899321143/67827251*c_0101_4^8 + 23670458460653/339136255*c_0101_4^7 - 85220236235572/339136255*c_0101_4^6 + 43488777352678/339136255*c_0101_4^5 - 37803319666574/339136255*c_0101_4^4 - 31164764776596/339136255*c_0101_4^3 + 170566059453/3292585*c_0101_4^2 + 10975347254616/339136255*c_0101_4 + 1343817349937/339136255, c_0011_0 - 1, c_0011_3 + 1411354561217/67827251*c_0101_4^17 + 158823392312/339136255*c_0101_4^16 + 1536369935138/339136255*c_0101_4^15 - 1722967765094/67827251*c_0101_4^14 - 79066059962962/339136255*c_0101_4^13 + 97280393257684/339136255*c_0101_4^12 - 32253228285580/67827251*c_0101_4^11 + 48255351091546/67827251*c_0101_4^10 - 28025900315664/67827251*c_0101_4^9 + 20657284799056/67827251*c_0101_4^8 + 32879916127531/339136255*c_0101_4^7 - 87375328706479/339136255*c_0101_4^6 + 39612435350751/339136255*c_0101_4^5 - 35080943050928/339136255*c_0101_4^4 - 34551766703272/339136255*c_0101_4^3 + 162934607796/3292585*c_0101_4^2 + 12414024057217/339136255*c_0101_4 + 1723017038199/339136255, c_0101_0 + 4825760228/658517*c_0101_4^17 + 407565683/3292585*c_0101_4^16 + 5347740312/3292585*c_0101_4^15 - 5896299097/658517*c_0101_4^14 - 270126135838/3292585*c_0101_4^13 + 334038072041/3292585*c_0101_4^12 - 110869345632/658517*c_0101_4^11 + 165875158058/658517*c_0101_4^10 - 97268514579/658517*c_0101_4^9 + 71888271868/658517*c_0101_4^8 + 107801693414/3292585*c_0101_4^7 - 297060774221/3292585*c_0101_4^6 + 137037209619/3292585*c_0101_4^5 - 121296337202/3292585*c_0101_4^4 - 116773818113/3292585*c_0101_4^3 + 57468955477/3292585*c_0101_4^2 + 41821859973/3292585*c_0101_4 + 5752284431/3292585, c_0101_1 + 7521163914/658517*c_0101_4^17 + 666886154/3292585*c_0101_4^16 + 8225586046/3292585*c_0101_4^15 - 9193287002/658517*c_0101_4^14 - 421118375454/3292585*c_0101_4^13 + 520361252498/3292585*c_0101_4^12 - 172464047961/658517*c_0101_4^11 + 258134455636/658517*c_0101_4^10 - 150824347092/658517*c_0101_4^9 + 111185391435/658517*c_0101_4^8 + 171049061472/3292585*c_0101_4^7 - 465351743278/3292585*c_0101_4^6 + 213103125452/3292585*c_0101_4^5 - 188500473006/3292585*c_0101_4^4 - 182836257214/3292585*c_0101_4^3 + 89958467331/3292585*c_0101_4^2 + 65632945444/3292585*c_0101_4 + 9035789423/3292585, c_0101_2 - 67685187/4841*c_0101_4^17 - 6852857/24205*c_0101_4^16 - 73842343/24205*c_0101_4^15 + 82652295/4841*c_0101_4^14 + 3790843987/24205*c_0101_4^13 - 4673734239/24205*c_0101_4^12 + 1549304626/4841*c_0101_4^11 - 2318094769/4841*c_0101_4^10 + 1349979230/4841*c_0101_4^9 - 994613700/4841*c_0101_4^8 - 1564252391/24205*c_0101_4^7 + 4193364814/24205*c_0101_4^6 - 1912311426/24205*c_0101_4^5 + 1689874653/24205*c_0101_4^4 + 1651622062/24205*c_0101_4^3 - 7843391/235*c_0101_4^2 - 592324187/24205*c_0101_4 - 81738314/24205, c_0101_4^18 - 4/5*c_0101_4^17 + 1/5*c_0101_4^16 - 7/5*c_0101_4^15 - 51/5*c_0101_4^14 + 23*c_0101_4^13 - 171/5*c_0101_4^12 + 53*c_0101_4^11 - 48*c_0101_4^10 + 31*c_0101_4^9 - 37/5*c_0101_4^8 - 81/5*c_0101_4^7 + 79/5*c_0101_4^6 - 48/5*c_0101_4^5 - 4/5*c_0101_4^4 + 32/5*c_0101_4^3 - 1/5*c_0101_4^2 - 6/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB