Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 1048552165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0938 geometric_solution 4.84048263 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 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 1 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 -1.217296627087 0.297731698101 0 0 2 2 0132 3201 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564874571382 0.293900524763 1 3 1 4 2310 0132 0132 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 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 1.130378639477 0.274566926495 5 2 6 4 0132 0132 0132 1230 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 1 0 -1 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 0.949235211483 0.591765785065 3 6 2 5 3012 0132 0132 0132 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 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 0.949235211483 0.591765785065 3 6 4 6 0132 2031 0132 1302 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 -1 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 0.445052008402 0.813818987425 5 4 5 3 1302 0132 2031 0132 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 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 0 0 0 1.445052008402 0.813818987425 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(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_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_4, c_0101_0, c_0101_1, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 7448754061813/21013248094608*c_1001_3^7 + 690294176723/2626656011826*c_1001_3^6 - 19802939204119/21013248094608*c_1001_3^5 + 23298939709537/7004416031536*c_1001_3^4 - 279956430108049/42026496189216*c_1001_3^3 - 57207831927541/750473146236*c_1001_3^2 - 1361322804571397/42026496189216*c_1001_3 + 3192875854292717/42026496189216, c_0011_0 - 1, c_0011_2 - 9349768/6283866057*c_1001_3^7 + 26071296/2094622019*c_1001_3^6 - 189967226/6283866057*c_1001_3^5 + 206854664/2094622019*c_1001_3^4 - 1547828360/6283866057*c_1001_3^3 + 51451890/299231717*c_1001_3^2 + 1868485097/2094622019*c_1001_3 - 4515713938/6283866057, c_0011_4 + 63828322/6283866057*c_0101_3*c_1001_3^7 - 80278421/6283866057*c_0101_3*c_1001_3^6 + 88621810/2094622019*c_0101_3*c_1001_3^5 - 282530986/2094622019*c_0101_3*c_1001_3^4 + 1956441779/6283866057*c_0101_3*c_1001_3^3 + 3229102729/1795390302*c_0101_3*c_1001_3^2 + 3028907711/6283866057*c_0101_3*c_1001_3 - 2243435827/2094622019*c_0101_3, c_0101_0 + 41619392/6283866057*c_1001_3^7 - 88533254/6283866057*c_1001_3^6 + 206667254/6283866057*c_1001_3^5 - 270441086/2094622019*c_1001_3^4 + 2032662040/6283866057*c_1001_3^3 + 926664299/897695151*c_1001_3^2 - 5289019168/6283866057*c_1001_3 - 3559295051/6283866057, c_0101_1 + 345546/2094622019*c_1001_3^7 - 7890404/6283866057*c_1001_3^6 - 16994942/6283866057*c_1001_3^5 + 25466460/2094622019*c_1001_3^4 - 140818001/2094622019*c_1001_3^3 + 150628622/897695151*c_1001_3^2 - 1703964964/6283866057*c_1001_3 - 3477233332/6283866057, c_0101_3^2 + 65990758/6283866057*c_1001_3^7 - 150918016/6283866057*c_1001_3^6 + 512698558/6283866057*c_1001_3^5 - 443412622/2094622019*c_1001_3^4 + 2991241142/6283866057*c_1001_3^3 + 958297240/897695151*c_1001_3^2 - 6768903122/6283866057*c_1001_3 + 1833226886/6283866057, c_1001_3^8 - c_1001_3^7 + 3*c_1001_3^6 - 10*c_1001_3^5 + 43/2*c_1001_3^4 + 419/2*c_1001_3^3 + 73/2*c_1001_3^2 - 201*c_1001_3 + 209/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB