Magma V2.19-8 Tue Aug 20 2013 16:16:32 on localhost [Seed = 2210537307] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0816 geometric_solution 4.74857170 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0.384482012471 0.232735676513 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -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 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 0.712069253797 0.919464984074 1 4 3 3 0132 0132 3012 1230 0 0 0 0 0 0 1 -1 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 0 0 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 1.307654617706 1.220840540132 2 2 4 1 3012 1230 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.307654617706 1.220840540132 5 2 5 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 -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 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 0.721740532394 0.765832084128 4 6 4 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657685492161 0.160867016870 6 5 6 5 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620559761925 0.051966557524 ==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_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(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' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : 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_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0110_6'], '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_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], '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_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 85235052908/823383537*c_0110_6^21 + 1784501670506/823383537*c_0110_6^19 - 3514489302202/274461179*c_0110_6^17 + 36375632063878/823383537*c_0110_6^15 - 88730795959045/823383537*c_0110_6^13 + 51607908599532/274461179*c_0110_6^11 - 62690378370583/274461179*c_0110_6^9 + 155292488517190/823383537*c_0110_6^7 - 27530969445605/274461179*c_0110_6^5 + 24379994344532/823383537*c_0110_6^3 - 2718818204011/823383537*c_0110_6, c_0011_0 - 1, c_0011_1 - 260681610/274461179*c_0110_6^20 + 5160310720/274461179*c_0110_6^18 - 26405786581/274461179*c_0110_6^16 + 82006547773/274461179*c_0110_6^14 - 181722626835/274461179*c_0110_6^12 + 277270821195/274461179*c_0110_6^10 - 281362977986/274461179*c_0110_6^8 + 183576405203/274461179*c_0110_6^6 - 68087927191/274461179*c_0110_6^4 + 9756351672/274461179*c_0110_6^2 - 100585026/274461179, c_0011_3 - 184610632/274461179*c_0110_6^20 + 3681734548/274461179*c_0110_6^18 - 19200751210/274461179*c_0110_6^16 + 60134018474/274461179*c_0110_6^14 - 134659937589/274461179*c_0110_6^12 + 208329447069/274461179*c_0110_6^10 - 215198799070/274461179*c_0110_6^8 + 144566882164/274461179*c_0110_6^6 - 56079017494/274461179*c_0110_6^4 + 8929031078/274461179*c_0110_6^2 - 134113812/274461179, c_0101_0 - 146994279/274461179*c_0110_6^21 + 3091804590/274461179*c_0110_6^19 - 18372769081/274461179*c_0110_6^17 + 62439102325/274461179*c_0110_6^15 - 150022657062/274461179*c_0110_6^13 + 256019741895/274461179*c_0110_6^11 - 297923663063/274461179*c_0110_6^9 + 230387575224/274461179*c_0110_6^7 - 110367647615/274461179*c_0110_6^5 + 26205626674/274461179*c_0110_6^3 - 1840165770/274461179*c_0110_6, c_0101_3 + 252315952/274461179*c_0110_6^21 - 5060777181/274461179*c_0110_6^19 + 26858248958/274461179*c_0110_6^17 - 85907540575/274461179*c_0110_6^15 + 195836487535/274461179*c_0110_6^13 - 311776026528/274461179*c_0110_6^11 + 336599770173/274461179*c_0110_6^9 - 239660927378/274461179*c_0110_6^7 + 102795664911/274461179*c_0110_6^5 - 20637733012/274461179*c_0110_6^3 + 1033699630/274461179*c_0110_6, c_0101_4 - 159037682/274461179*c_0110_6^20 + 3140180483/274461179*c_0110_6^18 - 15929056051/274461179*c_0110_6^16 + 48837574787/274461179*c_0110_6^14 - 107007062684/274461179*c_0110_6^12 + 160116274540/274461179*c_0110_6^10 - 157105417876/274461179*c_0110_6^8 + 97339531873/274461179*c_0110_6^6 - 32377259386/274461179*c_0110_6^4 + 3036535685/274461179*c_0110_6^2 + 50246798/274461179, c_0110_6^22 - 21*c_0110_6^20 + 125*c_0110_6^18 - 434*c_0110_6^16 + 1065*c_0110_6^14 - 1873*c_0110_6^12 + 2301*c_0110_6^10 - 1931*c_0110_6^8 + 1054*c_0110_6^6 - 328*c_0110_6^4 + 43*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB