Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 1360055406] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3523 geometric_solution 6.82708011 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316393140398 0.734121023645 3 2 4 0 0132 3012 0132 0132 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 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 0.812566646934 1.106178041481 1 3 0 5 1230 0132 0132 0132 0 0 0 0 0 1 -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 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 0.812566646934 1.106178041481 1 2 6 6 0132 0132 0132 2310 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 -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 0.622483777430 0.539786721745 5 5 6 1 1023 3012 3012 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 1 0 -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 0.489539808862 0.881225119390 4 4 2 6 1230 1023 0132 3012 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 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 0.489539808862 0.881225119390 3 4 5 3 3201 1230 1230 0132 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 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 0.835295545621 0.687410184724 ==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' : 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' : 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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_1001_6']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1883065024/7383191*c_1001_6^17 + 58129499866/22149573*c_1001_6^16 - 11281904807/1165767*c_1001_6^15 + 68886242914/7383191*c_1001_6^14 + 222404880395/7383191*c_1001_6^13 - 1614041886565/22149573*c_1001_6^12 - 537400956566/22149573*c_1001_6^11 + 4024073861416/22149573*c_1001_6^10 - 400177051040/22149573*c_1001_6^9 - 5976685685752/22149573*c_1001_6^8 + 620199419983/22149573*c_1001_6^7 + 5837208136133/22149573*c_1001_6^6 + 660363857045/22149573*c_1001_6^5 - 3119334331802/22149573*c_1001_6^4 - 1171704599195/22149573*c_1001_6^3 + 519515687642/22149573*c_1001_6^2 + 119597615988/7383191*c_1001_6 + 16149915731/7383191, c_0011_0 - 1, c_0011_1 - 20155699/7383191*c_1001_6^17 + 603095764/22149573*c_1001_6^16 - 36481902/388589*c_1001_6^15 + 1282477913/22149573*c_1001_6^14 + 2904124694/7383191*c_1001_6^13 - 16434989815/22149573*c_1001_6^12 - 12192007249/22149573*c_1001_6^11 + 15807849795/7383191*c_1001_6^10 + 1899418045/7383191*c_1001_6^9 - 75452351531/22149573*c_1001_6^8 - 3120134257/22149573*c_1001_6^7 + 74955037258/22149573*c_1001_6^6 + 5031658169/7383191*c_1001_6^5 - 39641891959/22149573*c_1001_6^4 - 5720581172/7383191*c_1001_6^3 + 6234900706/22149573*c_1001_6^2 + 4892509981/22149573*c_1001_6 + 246775403/7383191, c_0011_4 - 35013628/22149573*c_1001_6^17 + 123100881/7383191*c_1001_6^16 - 75111259/1165767*c_1001_6^15 + 1687201951/22149573*c_1001_6^14 + 3531633478/22149573*c_1001_6^13 - 10620918920/22149573*c_1001_6^12 - 465143662/22149573*c_1001_6^11 + 23911420750/22149573*c_1001_6^10 - 2605516369/7383191*c_1001_6^9 - 33281377048/22149573*c_1001_6^8 + 10306011211/22149573*c_1001_6^7 + 31856237095/22149573*c_1001_6^6 - 616217650/7383191*c_1001_6^5 - 17495696695/22149573*c_1001_6^4 - 1287282054/7383191*c_1001_6^3 + 1140873279/7383191*c_1001_6^2 + 1447991258/22149573*c_1001_6 + 29816543/7383191, c_0101_0 - 336133/42351*c_1001_6^17 + 3573476/42351*c_1001_6^16 - 246017/743*c_1001_6^15 + 5872694/14117*c_1001_6^14 + 31481227/42351*c_1001_6^13 - 103555948/42351*c_1001_6^12 + 7035587/42351*c_1001_6^11 + 220700249/42351*c_1001_6^10 - 93129362/42351*c_1001_6^9 - 293020558/42351*c_1001_6^8 + 113245348/42351*c_1001_6^7 + 272780740/42351*c_1001_6^6 - 24762823/42351*c_1001_6^5 - 146461039/42351*c_1001_6^4 - 34486601/42351*c_1001_6^3 + 8735600/14117*c_1001_6^2 + 4538376/14117*c_1001_6 + 567889/14117, c_0101_1 - 91562500/22149573*c_1001_6^17 + 985803953/22149573*c_1001_6^16 - 208126849/1165767*c_1001_6^15 + 5348438528/22149573*c_1001_6^14 + 7781928811/22149573*c_1001_6^13 - 29102799448/22149573*c_1001_6^12 + 1923168155/7383191*c_1001_6^11 + 59000803495/22149573*c_1001_6^10 - 10925173205/7383191*c_1001_6^9 - 75245433161/22149573*c_1001_6^8 + 40179261062/22149573*c_1001_6^7 + 22983721917/7383191*c_1001_6^6 - 5135761849/7383191*c_1001_6^5 - 12577436215/7383191*c_1001_6^4 - 1542682141/7383191*c_1001_6^3 + 7539548606/22149573*c_1001_6^2 + 2741739607/22149573*c_1001_6 + 67662297/7383191, c_0101_4 + 91562500/22149573*c_1001_6^17 - 985803953/22149573*c_1001_6^16 + 208126849/1165767*c_1001_6^15 - 5348438528/22149573*c_1001_6^14 - 7781928811/22149573*c_1001_6^13 + 29102799448/22149573*c_1001_6^12 - 1923168155/7383191*c_1001_6^11 - 59000803495/22149573*c_1001_6^10 + 10925173205/7383191*c_1001_6^9 + 75245433161/22149573*c_1001_6^8 - 40179261062/22149573*c_1001_6^7 - 22983721917/7383191*c_1001_6^6 + 5135761849/7383191*c_1001_6^5 + 12577436215/7383191*c_1001_6^4 + 1542682141/7383191*c_1001_6^3 - 7539548606/22149573*c_1001_6^2 - 2741739607/22149573*c_1001_6 - 67662297/7383191, c_1001_6^18 - 10*c_1001_6^17 + 35*c_1001_6^16 - 26*c_1001_6^15 - 127*c_1001_6^14 + 249*c_1001_6^13 + 175*c_1001_6^12 - 672*c_1001_6^11 - 140*c_1001_6^10 + 1054*c_1001_6^9 + 215*c_1001_6^8 - 1036*c_1001_6^7 - 439*c_1001_6^6 + 493*c_1001_6^5 + 379*c_1001_6^4 - 18*c_1001_6^3 - 91*c_1001_6^2 - 30*c_1001_6 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB