Magma V2.19-8 Sun Oct 6 2013 17:30:43 on localhost [Seed = 2745182075] Type ? for help. Type -D to quit. Loading file "10_120__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_120 geometric_solution 16.27136828 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 18 1 2 3 4 0132 0132 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 -1 0 1 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 0.761177279829 0.744296475751 0 5 7 6 0132 0132 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 1 -1 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 0.211305045381 0.679805669661 7 0 9 8 0132 0132 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 1 -1 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 0.320912092213 1.195438127460 6 5 10 0 0132 1023 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 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 0.684346578363 0.311263829316 9 11 0 7 0132 0132 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 -1 1 -1 0 1 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 0.793519688854 0.730287340648 3 1 12 12 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.885709307057 0.889484130254 3 7 1 13 0132 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.383489344495 1.034555439778 2 6 4 1 0132 0132 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 -1 1 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 0.311326813770 0.575014419958 14 10 2 15 0132 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079034883943 0.952729751770 4 16 15 2 0132 0132 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 -1 1 1 0 -1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358501567757 1.267961846252 8 12 13 3 1230 1023 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 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 0.919547636434 0.728752969310 17 4 13 16 0132 0132 0213 0132 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 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564835883286 1.283026399723 10 5 16 5 1023 0321 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 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 0.437881507592 0.564514197080 14 11 6 10 1302 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953269802074 0.773987451470 8 13 17 15 0132 2031 0321 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.544401894420 0.717829946636 14 17 8 9 3120 0321 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 -1 0 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 -0.372950000570 0.521768583850 17 9 11 12 1023 0132 0132 1302 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 1 0 -1 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172881795191 0.683643294512 11 16 14 15 0132 1023 0321 0321 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 -1 1 0 0 0 0 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211305045381 0.679805669661 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_15' : negation(d['c_0101_10']), 'c_1001_14' : negation(d['c_0101_10']), 'c_1001_17' : negation(d['c_0101_14']), 'c_1001_16' : d['c_1001_16'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_13' : d['c_1001_11'], 'c_1001_12' : negation(d['c_0110_16']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_16'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_16'], 'c_1001_9' : d['c_0110_16'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : d['c_0101_12'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_1001_16'], 'c_1010_10' : d['c_0101_5'], 'c_1010_17' : d['c_0110_16'], 'c_1010_16' : d['c_0110_16'], 'c_1010_15' : d['c_0110_16'], 'c_1010_14' : d['c_0011_13'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_0_17' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_13'], 'c_0101_10' : d['c_0101_10'], 'c_0101_17' : negation(d['c_0101_14']), 'c_0101_16' : negation(d['c_0101_14']), 'c_0101_15' : d['c_0101_14'], 'c_0101_14' : d['c_0101_14'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_17' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_15' : negation(d['c_0011_13']), 'c_0011_14' : d['c_0011_14'], 'c_0011_17' : negation(d['c_0011_11']), 'c_0011_16' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_16']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_15'], 's_0_15' : d['1'], 'c_1100_15' : d['c_1100_15'], 's_0_10' : d['1'], 'c_1100_17' : negation(d['c_0101_10']), 'c_1100_16' : d['c_0101_12'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1100_0'], 'c_1100_13' : d['c_1100_0'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_1'], 'c_1100_14' : negation(d['c_0101_14']), 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_16'], 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : d['c_1100_15'], 's_3_17' : d['1'], 's_3_16' : d['1'], 's_3_1' : d['1'], 'c_0101_13' : negation(d['c_0011_14']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_16']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_0110_11' : negation(d['c_0101_14']), 'c_0110_10' : negation(d['c_0011_14']), 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_5'], 'c_0110_15' : d['c_0101_7'], 'c_0110_14' : d['c_0101_7'], 'c_0110_17' : d['c_0011_13'], 'c_0110_16' : d['c_0110_16'], 'c_1010_4' : d['c_1001_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_1010_0' : d['c_1001_16'], 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_14']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_17' : d['1'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_15'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_14'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_14, c_0101_5, c_0101_7, c_0110_16, c_1001_1, c_1001_11, c_1001_16, c_1100_0, c_1100_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7876529621826534492/381717562669313*c_1100_15^7 - 7908937809296204440/381717562669313*c_1100_15^6 - 82913887751846100402/381717562669313*c_1100_15^5 - 716111028878747737862/381717562669313*c_1100_15^4 + 2876409897980373278700/381717562669313*c_1100_15^3 + 1281613882225262759476/381717562669313*c_1100_15^2 + 230853058061246306591/381717562669313*c_1100_15 + 37353610018455965331/381717562669313, c_0011_0 - 1, c_0011_10 - 52189612/928263089*c_1100_15^7 + 90116050/928263089*c_1100_15^6 + 500875406/928263089*c_1100_15^5 + 4357862937/928263089*c_1100_15^4 - 22416031861/928263089*c_1100_15^3 + 6171496159/928263089*c_1100_15^2 + 857350224/928263089*c_1100_15 - 195978898/928263089, c_0011_11 - 101104724/928263089*c_1100_15^7 + 140652176/928263089*c_1100_15^6 + 1014208866/928263089*c_1100_15^5 + 8797787220/928263089*c_1100_15^4 - 40347554726/928263089*c_1100_15^3 - 1187288268/928263089*c_1100_15^2 - 1083863069/928263089*c_1100_15 - 565361721/928263089, c_0011_13 + 420667726/928263089*c_1100_15^7 - 534372444/928263089*c_1100_15^6 - 4287709965/928263089*c_1100_15^5 - 37099350565/928263089*c_1100_15^4 + 163516318139/928263089*c_1100_15^3 + 25009832888/928263089*c_1100_15^2 + 4464056089/928263089*c_1100_15 + 616346115/928263089, c_0011_14 - 427418008/928263089*c_1100_15^7 + 545407444/928263089*c_1100_15^6 + 4355432810/928263089*c_1100_15^5 + 37678800060/928263089*c_1100_15^4 - 166362127103/928263089*c_1100_15^3 - 24659102349/928263089*c_1100_15^2 - 4737406091/928263089*c_1100_15 - 254898459/928263089, c_0101_0 + 394730486/928263089*c_1100_15^7 - 439205882/928263089*c_1100_15^6 - 4099455157/928263089*c_1100_15^5 - 35457005050/928263089*c_1100_15^4 + 147912035702/928263089*c_1100_15^3 + 47404440112/928263089*c_1100_15^2 + 9538519234/928263089*c_1100_15 + 1315808050/928263089, c_0101_1 + 221711538/928263089*c_1100_15^7 - 265218840/928263089*c_1100_15^6 - 2273315485/928263089*c_1100_15^5 - 19731642367/928263089*c_1100_15^4 + 84661049912/928263089*c_1100_15^3 + 18948418140/928263089*c_1100_15^2 + 6111489057/928263089*c_1100_15 + 531085753/928263089, c_0101_10 + 159455020/928263089*c_1100_15^7 - 151471956/928263089*c_1100_15^6 - 1689252652/928263089*c_1100_15^5 - 14594578004/928263089*c_1100_15^4 + 57444846135/928263089*c_1100_15^3 + 29300248635/928263089*c_1100_15^2 + 6630065655/928263089*c_1100_15 + 779688844/928263089, c_0101_12 + 40816772/71404853*c_1100_15^7 - 3224716/5492681*c_1100_15^6 - 428467284/71404853*c_1100_15^5 - 3701037126/71404853*c_1100_15^4 + 14989622461/71404853*c_1100_15^3 + 6275883397/71404853*c_1100_15^2 + 84939930/5492681*c_1100_15 + 108188309/71404853, c_0101_14 + 16817188/928263089*c_1100_15^7 - 34665834/928263089*c_1100_15^6 - 150910272/928263089*c_1100_15^5 - 1358650921/928263089*c_1100_15^4 + 7645980880/928263089*c_1100_15^3 - 4531064875/928263089*c_1100_15^2 + 1540386717/928263089*c_1100_15 + 122233444/928263089, c_0101_5 + 215550854/928263089*c_1100_15^7 - 344515110/928263089*c_1100_15^6 - 2099147105/928263089*c_1100_15^5 - 18292714520/928263089*c_1100_15^4 + 89979790364/928263089*c_1100_15^3 - 15336038386/928263089*c_1100_15^2 + 636199336/928263089*c_1100_15 + 512737528/928263089, c_0101_7 - 390286610/928263089*c_1100_15^7 + 477191524/928263089*c_1100_15^6 + 3999912673/928263089*c_1100_15^5 + 34609914965/928263089*c_1100_15^4 - 150064197604/928263089*c_1100_15^3 - 30385124426/928263089*c_1100_15^2 - 6126704850/928263089*c_1100_15 - 489079218/928263089, c_0110_16 + 101104724/928263089*c_1100_15^7 - 140652176/928263089*c_1100_15^6 - 1014208866/928263089*c_1100_15^5 - 8797787220/928263089*c_1100_15^4 + 40347554726/928263089*c_1100_15^3 + 1187288268/928263089*c_1100_15^2 + 1083863069/928263089*c_1100_15 + 565361721/928263089, c_1001_1 - 465454094/928263089*c_1100_15^7 + 522677138/928263089*c_1100_15^6 + 4825866731/928263089*c_1100_15^5 + 41765356670/928263089*c_1100_15^4 - 174807469893/928263089*c_1100_15^3 - 53967019918/928263089*c_1100_15^2 - 12285031064/928263089*c_1100_15 - 825639785/928263089, c_1001_11 + 163361242/928263089*c_1100_15^7 - 254399060/928263089*c_1100_15^6 - 1598271699/928263089*c_1100_15^5 - 13934851583/928263089*c_1100_15^4 + 67563758503/928263089*c_1100_15^3 - 9164542227/928263089*c_1100_15^2 + 1493549560/928263089*c_1100_15 + 1245021719/928263089, c_1001_16 - 547435224/928263089*c_1100_15^7 + 579642838/928263089*c_1100_15^6 + 5720984964/928263089*c_1100_15^5 + 49472133559/928263089*c_1100_15^4 - 202511072873/928263089*c_1100_15^3 - 77055419286/928263089*c_1100_15^2 - 15895234887/928263089*c_1100_15 - 1528681461/928263089, c_1100_0 + 221711538/928263089*c_1100_15^7 - 265218840/928263089*c_1100_15^6 - 2273315485/928263089*c_1100_15^5 - 19731642367/928263089*c_1100_15^4 + 84661049912/928263089*c_1100_15^3 + 18948418140/928263089*c_1100_15^2 + 6111489057/928263089*c_1100_15 + 531085753/928263089, c_1100_15^8 - c_1100_15^7 - 21/2*c_1100_15^6 - 91*c_1100_15^5 + 729/2*c_1100_15^4 + 323/2*c_1100_15^3 + 42*c_1100_15^2 + 13/2*c_1100_15 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 17401.110 Total time: 17401.439 seconds, Total memory usage: 42572.19MB