Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 1065263639] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2514 geometric_solution 5.83477883 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435554628581 0.252596779364 2 0 3 0 0132 2310 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 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 0.846369041801 0.743789251424 1 4 3 5 0132 0132 3012 0132 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 1 -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 1.105031136192 1.084946347600 5 2 4 1 1023 1230 1023 0132 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 0 0 0 1 0 -1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105031136192 1.084946347600 6 2 3 6 0132 0132 1023 3201 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 -1 1 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 0.299432848228 0.416650783325 5 3 2 5 3201 1023 0132 2310 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 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 0.692161605102 0.626982901383 4 4 6 6 0132 2310 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.601714874264 1.890594039897 ==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_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), '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_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 32946165269/281313489*c_0101_6^13 + 103664659262/281313489*c_0101_6^12 - 182809961053/281313489*c_0101_6^11 + 267686806580/281313489*c_0101_6^10 + 46346882837/93771163*c_0101_6^9 + 222518796880/93771163*c_0101_6^8 - 151813356011/93771163*c_0101_6^7 - 1860110938498/281313489*c_0101_6^6 - 680391075829/281313489*c_0101_6^5 - 58375412342/281313489*c_0101_6^4 + 303521757614/93771163*c_0101_6^3 + 555706554950/281313489*c_0101_6^2 - 246181417993/281313489*c_0101_6 - 69192173024/281313489, c_0011_0 - 1, c_0011_1 - 201996403/750169304*c_0101_6^13 + 444182163/375084652*c_0101_6^12 - 1994365561/750169304*c_0101_6^11 + 837875921/187542326*c_0101_6^10 - 931547449/375084652*c_0101_6^9 + 2088341861/375084652*c_0101_6^8 - 8524190967/750169304*c_0101_6^7 - 5780006603/750169304*c_0101_6^6 + 1754296335/187542326*c_0101_6^5 + 565808697/187542326*c_0101_6^4 + 5897467501/750169304*c_0101_6^3 - 2575972543/750169304*c_0101_6^2 - 2118793583/750169304*c_0101_6 + 901078749/750169304, c_0011_3 + 21496051/375084652*c_0101_0*c_0101_6^13 - 100213827/187542326*c_0101_0*c_0101_6^12 + 493385129/375084652*c_0101_0*c_0101_6^11 - 213531648/93771163*c_0101_0*c_0101_6^10 + 485124561/187542326*c_0101_0*c_0101_6^9 + 43660477/187542326*c_0101_0*c_0101_6^8 + 3766348283/375084652*c_0101_0*c_0101_6^7 + 646605339/375084652*c_0101_0*c_0101_6^6 - 1398897725/93771163*c_0101_0*c_0101_6^5 - 1425679991/93771163*c_0101_0*c_0101_6^4 - 5508563125/375084652*c_0101_0*c_0101_6^3 - 191994421/375084652*c_0101_0*c_0101_6^2 + 1235701603/375084652*c_0101_0*c_0101_6 + 25587843/375084652*c_0101_0, c_0101_0^2 - 201996403/750169304*c_0101_6^13 + 444182163/375084652*c_0101_6^12 - 1994365561/750169304*c_0101_6^11 + 837875921/187542326*c_0101_6^10 - 931547449/375084652*c_0101_6^9 + 2088341861/375084652*c_0101_6^8 - 8524190967/750169304*c_0101_6^7 - 5780006603/750169304*c_0101_6^6 + 1754296335/187542326*c_0101_6^5 + 565808697/187542326*c_0101_6^4 + 5897467501/750169304*c_0101_6^3 - 2575972543/750169304*c_0101_6^2 - 2118793583/750169304*c_0101_6 + 150909445/750169304, c_0101_1 - 311827599/750169304*c_0101_6^13 + 462604953/375084652*c_0101_6^12 - 1603083337/750169304*c_0101_6^11 + 589346977/187542326*c_0101_6^10 + 750355311/375084652*c_0101_6^9 + 3521541945/375084652*c_0101_6^8 - 3189881427/750169304*c_0101_6^7 - 16763687571/750169304*c_0101_6^6 - 2418522961/187542326*c_0101_6^5 - 909302185/187542326*c_0101_6^4 + 5558391569/750169304*c_0101_6^3 + 3647871793/750169304*c_0101_6^2 - 406005803/750169304*c_0101_6 + 47883925/750169304, c_0101_3 + 3203033/750169304*c_0101_6^13 + 110919893/375084652*c_0101_6^12 - 813175521/750169304*c_0101_6^11 + 409374701/187542326*c_0101_6^10 - 1326518237/375084652*c_0101_6^9 + 80783977/375084652*c_0101_6^8 - 4882303715/750169304*c_0101_6^7 + 5566476797/750169304*c_0101_6^6 + 2539771961/187542326*c_0101_6^5 + 98417929/187542326*c_0101_6^4 + 843927441/750169304*c_0101_6^3 - 4904019127/750169304*c_0101_6^2 - 1293621931/750169304*c_0101_6 + 828547157/750169304, c_0101_6^14 - 3*c_0101_6^13 + 5*c_0101_6^12 - 7*c_0101_6^11 - 6*c_0101_6^10 - 20*c_0101_6^9 + 11*c_0101_6^8 + 60*c_0101_6^7 + 27*c_0101_6^6 - 27*c_0101_6^4 - 20*c_0101_6^3 + 8*c_0101_6^2 + 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB