Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 543276360] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3154 geometric_solution 6.30951444 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550411220711 0.284299086095 0 3 0 4 0132 0132 1023 0132 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 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 0.565810106134 0.740789542021 5 0 4 0 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 0.565810106134 0.740789542021 6 1 5 4 0132 0132 1230 1230 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 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 1.031314964425 1.145542999197 3 2 1 5 3012 3201 0132 3012 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.256805394452 1.368077388349 2 6 4 3 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.031314964425 1.145542999197 3 6 5 6 0132 2310 2310 3201 0 0 0 0 0 1 0 -1 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 -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 0.363746342050 0.805980861885 ==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' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 5898634173483038464/760717729159727839*c_0101_5^16 + 21674749738047061774/760717729159727839*c_0101_5^14 - 52740179445591430055/3042870916638911356*c_0101_5^12 + 634342662948889069955/6085741833277822712*c_0101_5^10 - 43713844684375276307/6085741833277822712*c_0101_5^8 - 1211055526819080478907/6085741833277822712*c_0101_5^6 - 404255231780106722877/3042870916638911356*c_0101_5^4 + 227659429140867962229/3042870916638911356*c_0101_5^2 - 130146971497642168301/6085741833277822712, c_0011_0 - 1, c_0011_4 + 61761254010966400/760717729159727839*c_0101_5^16 - 47206236128596995/760717729159727839*c_0101_5^14 - 324087545375931113/760717729159727839*c_0101_5^12 - 902997961670127564/760717729159727839*c_0101_5^10 - 2442407815281993885/760717729159727839*c_0101_5^8 - 1249532201001862564/760717729159727839*c_0101_5^6 + 2134333870041925780/760717729159727839*c_0101_5^4 + 1239425934842649399/760717729159727839*c_0101_5^2 - 719244638454300616/760717729159727839, c_0101_0 + c_0101_5, c_0101_1 - 3609310794187424768/760717729159727839*c_0101_5^17 + 10113607484954571400/760717729159727839*c_0101_5^15 - 1000004606230205362/760717729159727839*c_0101_5^13 + 51158269123762288495/760717729159727839*c_0101_5^11 + 43700007170624396901/760717729159727839*c_0101_5^9 - 27839423633656732042/760717729159727839*c_0101_5^7 - 43844889684092610711/760717729159727839*c_0101_5^5 + 16264960449527596928/760717729159727839*c_0101_5^3 - 3271463785712890898/760717729159727839*c_0101_5, c_0101_2 + 8840528266346855744/760717729159727839*c_0101_5^17 - 41856272383835052949/1521435458319455678*c_0101_5^15 - 10612674857725432981/1521435458319455678*c_0101_5^13 - 260956983648067787969/1521435458319455678*c_0101_5^11 - 165159560597433233062/760717729159727839*c_0101_5^9 - 23886438947812930696/760717729159727839*c_0101_5^7 + 132872486923014585159/1521435458319455678*c_0101_5^5 - 22441934265281657641/760717729159727839*c_0101_5^3 + 3240857305295193133/760717729159727839*c_0101_5, c_0101_3 + 2362478033619651776/760717729159727839*c_0101_5^16 - 8058067265535140243/1521435458319455678*c_0101_5^14 - 9189174129673019727/1521435458319455678*c_0101_5^12 - 73647158302177769577/1521435458319455678*c_0101_5^10 - 68031218143342402502/760717729159727839*c_0101_5^8 - 43565568013042976196/760717729159727839*c_0101_5^6 + 855520719695378165/1521435458319455678*c_0101_5^4 - 477767424802386422/760717729159727839*c_0101_5^2 - 582185401599243363/760717729159727839, c_0101_5^18 - 289/128*c_0101_5^16 - 101/128*c_0101_5^14 - 1915/128*c_0101_5^12 - 653/32*c_0101_5^10 - 93/16*c_0101_5^8 + 697/128*c_0101_5^6 - 165/64*c_0101_5^4 + 11/32*c_0101_5^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB