Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1141233765] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s342 geometric_solution 4.54271185 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 1.559349498210 0.226067576511 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 -2 2 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212308237454 0.415307845500 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 1 -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 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 0.529907079655 0.498382551566 2 5 4 4 0132 0132 3201 0321 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.587123578632 1.057872627823 3 3 2 5 2310 0321 0132 1023 0 0 0 0 0 0 1 -1 -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 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 0.587123578632 1.057872627823 5 3 5 4 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453526127686 0.339571719950 ==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' : 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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0011_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4256081411392561/5263203858017600*c_0110_5^17 + 4140627339653767/239236539000800*c_0110_5^15 - 291990490952439119/2631601929008800*c_0110_5^13 - 37545415746257291/526320385801760*c_0110_5^11 + 1157372728738000209/526320385801760*c_0110_5^9 - 4190731481321436121/1315800964504400*c_0110_5^7 + 11161866815172572023/5263203858017600*c_0110_5^5 - 5307150357416509487/5263203858017600*c_0110_5^3 + 309087448942065293/1315800964504400*c_0110_5, c_0011_0 - 1, c_0011_1 - 1666765598133/21748776272800*c_0110_5^16 + 17844061446841/10874388136400*c_0110_5^14 - 114519323188987/10874388136400*c_0110_5^12 - 14429771766023/2174877627280*c_0110_5^10 + 452924574612837/2174877627280*c_0110_5^8 - 1653171604804213/5437194068200*c_0110_5^6 + 4527142922716659/21748776272800*c_0110_5^4 - 2147469551803771/21748776272800*c_0110_5^2 + 126339466860589/5437194068200, c_0011_4 - 2138363276993/21748776272800*c_0110_5^17 + 22983980052861/10874388136400*c_0110_5^15 - 148805268816527/10874388136400*c_0110_5^13 - 16284291230523/2174877627280*c_0110_5^11 + 584267857640257/2174877627280*c_0110_5^9 - 2238570585299473/5437194068200*c_0110_5^7 + 6186624607987239/21748776272800*c_0110_5^5 - 2987088192919391/21748776272800*c_0110_5^3 + 187740134825069/5437194068200*c_0110_5, c_0101_0 + 277791116555/1739902101824*c_0110_5^17 - 14886819963923/4349755254560*c_0110_5^15 + 95773056673273/4349755254560*c_0110_5^13 + 11645680862173/869951050912*c_0110_5^11 - 378215970255751/869951050912*c_0110_5^9 + 279668539535131/434975525456*c_0110_5^7 - 3799753724992929/8699510509120*c_0110_5^5 + 1823372031311801/8699510509120*c_0110_5^3 - 111223968146111/2174877627280*c_0110_5, c_0101_3 + 1671944865503/21748776272800*c_0110_5^16 - 17932299844811/10874388136400*c_0110_5^14 + 115555946189697/10874388136400*c_0110_5^12 + 13660860575413/2174877627280*c_0110_5^10 - 455404684714687/2174877627280*c_0110_5^8 + 1700723561681583/5437194068200*c_0110_5^6 - 4689978502958009/21748776272800*c_0110_5^4 + 2247192996017521/21748776272800*c_0110_5^2 - 138073565520359/5437194068200, c_0110_5^18 - 22*c_0110_5^16 + 150*c_0110_5^14 + 6*c_0110_5^12 - 2770*c_0110_5^10 + 5564*c_0110_5^8 - 5015*c_0110_5^6 + 2851*c_0110_5^4 - 1048*c_0110_5^2 + 176 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB