Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 1031578102] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1008 geometric_solution 4.89167609 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 -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 0.392991157598 0.488230189852 0 4 0 4 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.828812612224 1.000067081189 5 6 3 0 0132 0132 2031 0132 0 0 0 0 0 1 0 -1 -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 0 0 0 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651337060211 0.435762787606 6 5 0 2 2310 3201 0132 1302 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 -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 0.651337060211 0.435762787606 1 1 4 4 3201 0132 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 0.365109039570 0.039501064025 2 5 3 5 0132 2310 2310 3201 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 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 0 0 0.236158022157 1.373474453868 6 2 3 6 3012 0132 3201 1230 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939413581415 0.709562103083 ==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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), '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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 355883/14013*c_0110_4^12 - 7589698/14013*c_0110_4^10 + 13362388/4671*c_0110_4^8 - 49569541/14013*c_0110_4^6 + 19993514/14013*c_0110_4^4 - 3196994/14013*c_0110_4^2 + 509503/14013, c_0011_0 - 1, c_0011_2 + 6773/4671*c_0110_4^13 - 146014/4671*c_0110_4^11 + 265399/1557*c_0110_4^9 - 1115611/4671*c_0110_4^7 + 573413/4671*c_0110_4^5 - 114566/4671*c_0110_4^3 + 16645/4671*c_0110_4, c_0101_0 + 1079/4671*c_0110_4^12 - 23611/4671*c_0110_4^10 + 44734/1557*c_0110_4^8 - 215068/4671*c_0110_4^6 + 128942/4671*c_0110_4^4 - 20690/4671*c_0110_4^2 - 800/4671, c_0101_1 - 3871/4671*c_0110_4^13 + 84083/4671*c_0110_4^11 - 156002/1557*c_0110_4^9 + 698063/4671*c_0110_4^7 - 361711/4671*c_0110_4^5 + 45253/4671*c_0110_4^3 - 1736/4671*c_0110_4, c_0101_2 - 2792/4671*c_0110_4^12 + 60472/4671*c_0110_4^10 - 111268/1557*c_0110_4^8 + 482995/4671*c_0110_4^6 - 232769/4671*c_0110_4^4 + 24563/4671*c_0110_4^2 - 2536/4671, c_0101_6 + 1327/1557*c_0110_4^13 - 28514/1557*c_0110_4^11 + 51377/519*c_0110_4^9 - 210872/1557*c_0110_4^7 + 113548/1557*c_0110_4^5 - 30001/1557*c_0110_4^3 + 4703/1557*c_0110_4, c_0110_4^14 - 22*c_0110_4^12 + 127*c_0110_4^10 - 215*c_0110_4^8 + 149*c_0110_4^6 - 45*c_0110_4^4 + 7*c_0110_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB