Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 4004475883] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3331 geometric_solution 6.46707796 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 1 -1 0 0 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 -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 -0.022453694985 1.298644256105 0 4 0 2 0132 0132 1230 2103 0 0 0 0 0 1 -1 0 1 0 -1 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 0.374266266392 0.475365035588 5 0 5 1 0132 0132 1023 2103 0 0 0 0 0 1 -1 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 1 -1 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 0.154123403571 0.653696214399 5 6 4 0 3012 0132 2031 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 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 0.013309986314 0.769803690986 5 1 6 3 1023 0132 1302 1302 0 0 0 0 0 -1 1 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 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 0.977546305015 1.298644256105 2 4 2 3 0132 1023 1023 1230 0 0 0 0 0 -1 1 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 -1 1 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 0.051649207698 1.164538598857 4 3 6 6 2031 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 -1 0 1 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 0.528562287453 0.949222653029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0110_6'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], '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_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0110_6'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 252267430148197/12385236223805952*c_1001_1^15 + 611095643949833/12385236223805952*c_1001_1^13 + 197770872143517/4128412074601984*c_1001_1^11 + 57578703535067813/2064206037300992*c_1001_1^9 - 1150790911699703005/12385236223805952*c_1001_1^7 + 1317036115853627957/12385236223805952*c_1001_1^5 - 371089761369909797/6192618111902976*c_1001_1^3 + 50106921289097897/1548154527975744*c_1001_1, c_0011_0 - 1, c_0011_3 + 983661660205/1032103018650496*c_1001_1^14 - 2779355599255/1032103018650496*c_1001_1^12 - 1466957626365/1032103018650496*c_1001_1^10 - 168179330008461/129012877331312*c_1001_1^8 + 5030319251381109/1032103018650496*c_1001_1^6 - 6797232854366611/1032103018650496*c_1001_1^4 + 899973279997557/258025754662624*c_1001_1^2 - 20667949008647/16126609666414, c_0101_0 + 1, c_0101_1 + 3051226324865/4128412074601984*c_1001_1^15 - 6518767701235/4128412074601984*c_1001_1^13 - 7513522640945/4128412074601984*c_1001_1^11 - 522908898058909/516051509325248*c_1001_1^9 + 12721565999555305/4128412074601984*c_1001_1^7 - 14382959440258271/4128412074601984*c_1001_1^5 + 2574055248300097/1032103018650496*c_1001_1^3 - 138397152880205/64506438665656*c_1001_1, c_0101_3 + 1435459065401/4128412074601984*c_1001_1^15 - 7438370475483/4128412074601984*c_1001_1^13 + 1594893821271/4128412074601984*c_1001_1^11 - 243875107160173/516051509325248*c_1001_1^9 + 11989227179838561/4128412074601984*c_1001_1^7 - 19218454441550695/4128412074601984*c_1001_1^5 + 2846660635100777/1032103018650496*c_1001_1^3 - 71173510290657/64506438665656*c_1001_1, c_0110_6 + 1091690909917/1032103018650496*c_1001_1^14 - 1799333195399/1032103018650496*c_1001_1^12 - 3330859591309/1032103018650496*c_1001_1^10 - 187331665684977/129012877331312*c_1001_1^8 + 3815682689152805/1032103018650496*c_1001_1^6 - 3609559665304131/1032103018650496*c_1001_1^4 + 661727910447501/258025754662624*c_1001_1^2 - 19596004332419/16126609666414, c_1001_1^16 - 3*c_1001_1^14 - c_1001_1^12 - 1368*c_1001_1^10 + 5353*c_1001_1^8 - 7791*c_1001_1^6 + 5748*c_1001_1^4 - 3200*c_1001_1^2 + 1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB