Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 3937105623] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s025 geometric_solution 3.55639025 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 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 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 -2.640461504905 1.775301614438 0 4 2 3 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.919151278359 0.665092906759 4 0 1 4 1302 0132 1023 2310 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 -1 0 1 -2 0 1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009068871801 0.526247307850 5 1 5 0 0132 1302 2310 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 0.360238078525 0.222897524423 2 2 0 1 3201 2031 0132 2031 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 -1 1 0 1 0 0 -1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967262573906 1.899683083537 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548858009959 0.041606974169 ==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' : negation(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' : negation(d['1']), 's_2_5' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(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' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_0'], '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_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_1']})} 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_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1244106705/476691184*c_0101_3^9 - 2387807/489416*c_0101_3^8 - 3730803705/238345592*c_0101_3^7 - 13321952845/476691184*c_0101_3^6 - 17049835149/476691184*c_0101_3^5 - 14836204965/476691184*c_0101_3^4 - 1822316815/238345592*c_0101_3^3 - 7570706961/476691184*c_0101_3^2 + 5101415155/476691184*c_0101_3 - 2727415561/476691184, c_0011_0 - 1, c_0011_3 - 49757995/29793199*c_0101_3^9 - 60676/61177*c_0101_3^8 - 275426676/29793199*c_0101_3^7 - 179057963/29793199*c_0101_3^6 - 515818629/29793199*c_0101_3^5 + 68152381/29793199*c_0101_3^4 - 299613354/29793199*c_0101_3^3 + 187543568/29793199*c_0101_3^2 - 91213340/29793199*c_0101_3 - 5024456/29793199, c_0011_4 - 27123450/29793199*c_0101_3^9 - 15390/61177*c_0101_3^8 - 143348366/29793199*c_0101_3^7 - 55702469/29793199*c_0101_3^6 - 238105791/29793199*c_0101_3^5 + 102272603/29793199*c_0101_3^4 - 146648650/29793199*c_0101_3^3 + 126060863/29793199*c_0101_3^2 - 28861404/29793199*c_0101_3 + 11698719/29793199, c_0101_0 - 37198210/29793199*c_0101_3^9 - 19538/61177*c_0101_3^8 - 201196854/29793199*c_0101_3^7 - 73120634/29793199*c_0101_3^6 - 360941355/29793199*c_0101_3^5 + 138280510/29793199*c_0101_3^4 - 289054302/29793199*c_0101_3^3 + 160252189/29793199*c_0101_3^2 - 102622824/29793199*c_0101_3 - 5753639/29793199, c_0101_1 + 305585/29793199*c_0101_3^9 + 6608/61177*c_0101_3^8 + 10022418/29793199*c_0101_3^7 + 21567717/29793199*c_0101_3^6 + 48249183/29793199*c_0101_3^5 + 48692611/29793199*c_0101_3^4 + 58172781/29793199*c_0101_3^3 - 21490549/29793199*c_0101_3^2 + 14878742/29793199*c_0101_3 - 19841600/29793199, c_0101_3^10 + 3/5*c_0101_3^9 + 28/5*c_0101_3^8 + 19/5*c_0101_3^7 + 54/5*c_0101_3^6 - 2/5*c_0101_3^5 + 7*c_0101_3^4 - 13/5*c_0101_3^3 + 2*c_0101_3^2 + 2/5*c_0101_3 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB