Magma V2.19-8 Wed Aug 21 2013 00:56:58 on localhost [Seed = 2614985036] Type ? for help. Type -D to quit. Loading file "L13n3196__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3196 geometric_solution 11.84404013 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 -1 1 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 2 -1 -1 0 0 1 -1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964152728287 0.974814352932 0 5 3 6 0132 0132 3120 0132 1 1 1 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 1 -1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457077455551 0.569028978672 7 0 8 8 0132 0132 2310 0132 0 1 1 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 -2 0 2 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343980040195 0.580703040697 6 9 1 0 0132 0132 3120 0132 0 1 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 1 0 0 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603395601381 0.534760753992 10 5 0 7 0132 2031 0132 2031 0 1 1 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 1 -1 -1 0 1 0 -6 0 0 6 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487112838774 0.518558680102 4 1 11 8 1302 0132 0132 1023 1 0 0 1 0 0 0 0 -1 0 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 2 0 0 -2 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113843042699 0.992782917371 3 10 1 12 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.230922197172 0.882474790835 2 4 12 10 0132 1302 3012 1023 1 1 0 1 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 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273754498465 1.045376383569 11 2 2 5 2310 3201 0132 1023 0 1 0 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 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005077499892 1.519991901247 12 3 10 11 0132 0132 2310 1230 0 1 1 1 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 -7 0 7 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 0.614852901802 1.212731657090 4 9 6 7 0132 3201 0213 1023 1 1 0 1 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 -1 1 0 1 0 -1 0 -2 1 0 1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194203065727 1.392111029175 9 12 8 5 3012 2310 3201 0132 1 0 1 1 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508684555087 0.391241985131 9 7 6 11 0132 1230 0132 3201 1 1 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 7 0 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767521634313 0.497775029029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_8'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 176776570497/1067658865*c_1001_12^9 + 1588802062213/1067658865*c_1001_12^8 + 4938182741483/1067658865*c_1001_12^7 + 107272283828/213531773*c_1001_12^6 - 28468865010204/1067658865*c_1001_12^5 - 72607298120744/1067658865*c_1001_12^4 - 180883594249/2219665*c_1001_12^3 - 52526407350796/1067658865*c_1001_12^2 - 1680821100531/152522695*c_1001_12 + 2107817303289/1067658865, c_0011_0 - 1, c_0011_10 - 1143741/23465030*c_1001_12^9 - 10387327/23465030*c_1001_12^8 - 3300839/2346503*c_1001_12^7 - 1430889/4693006*c_1001_12^6 + 182320087/23465030*c_1001_12^5 + 489296173/23465030*c_1001_12^4 + 16788133/634190*c_1001_12^3 + 415150711/23465030*c_1001_12^2 + 52624792/11732515*c_1001_12 - 892320/2346503, c_0011_11 + 1116534/11732515*c_1001_12^9 + 9421822/11732515*c_1001_12^8 + 25937823/11732515*c_1001_12^7 - 2300017/2346503*c_1001_12^6 - 174681943/11732515*c_1001_12^5 - 71628148/2346503*c_1001_12^4 - 9088998/317095*c_1001_12^3 - 143104398/11732515*c_1001_12^2 - 3818598/2346503*c_1001_12 + 600319/11732515, c_0011_12 - 1, c_0011_8 + 150227/4693006*c_1001_12^9 + 3573319/11732515*c_1001_12^8 + 12283453/11732515*c_1001_12^7 + 1341468/2346503*c_1001_12^6 - 24132887/4693006*c_1001_12^5 - 376788671/23465030*c_1001_12^4 - 7208116/317095*c_1001_12^3 - 392470223/23465030*c_1001_12^2 - 68457984/11732515*c_1001_12 - 227691/11732515, c_0101_0 - 1, c_0101_1 + 38509/317095*c_1001_12^9 + 664731/634190*c_1001_12^8 + 191994/63419*c_1001_12^7 - 75475/126838*c_1001_12^6 - 11951951/634190*c_1001_12^5 - 13549457/317095*c_1001_12^4 - 14995154/317095*c_1001_12^3 - 8549334/317095*c_1001_12^2 - 2116306/317095*c_1001_12 + 50157/126838, c_0101_11 + 3470467/23465030*c_1001_12^9 + 30214613/23465030*c_1001_12^8 + 44303629/11732515*c_1001_12^7 - 1287977/2346503*c_1001_12^6 - 274879427/11732515*c_1001_12^5 - 633152742/11732515*c_1001_12^4 - 18610981/317095*c_1001_12^3 - 737984631/23465030*c_1001_12^2 - 149380997/23465030*c_1001_12 + 11267579/23465030, c_0101_2 - 1143741/23465030*c_1001_12^9 - 10387327/23465030*c_1001_12^8 - 3300839/2346503*c_1001_12^7 - 1430889/4693006*c_1001_12^6 + 182320087/23465030*c_1001_12^5 + 489296173/23465030*c_1001_12^4 + 16788133/634190*c_1001_12^3 + 415150711/23465030*c_1001_12^2 + 52624792/11732515*c_1001_12 - 892320/2346503, c_0101_7 - 1261167/11732515*c_1001_12^9 - 10343492/11732515*c_1001_12^8 - 26993766/11732515*c_1001_12^7 + 3708903/2346503*c_1001_12^6 + 192260014/11732515*c_1001_12^5 + 365752972/11732515*c_1001_12^4 + 8223708/317095*c_1001_12^3 + 18871313/2346503*c_1001_12^2 - 4693089/11732515*c_1001_12 + 8926182/11732515, c_0101_9 - 417764/11732515*c_1001_12^9 - 746901/2346503*c_1001_12^8 - 10367794/11732515*c_1001_12^7 + 1415151/2346503*c_1001_12^6 + 81013828/11732515*c_1001_12^5 + 131750706/11732515*c_1001_12^4 + 379274/63419*c_1001_12^3 - 32084199/11732515*c_1001_12^2 - 36988147/11732515*c_1001_12 - 4959982/11732515, c_0110_5 - 3823403/46930060*c_1001_12^9 - 16365553/23465030*c_1001_12^8 - 4733059/2346503*c_1001_12^7 + 655003/2346503*c_1001_12^6 + 566596141/46930060*c_1001_12^5 + 1349805089/46930060*c_1001_12^4 + 10875556/317095*c_1001_12^3 + 1034495273/46930060*c_1001_12^2 + 160655401/23465030*c_1001_12 - 234074/2346503, c_1001_12^10 + 9*c_1001_12^9 + 28*c_1001_12^8 + 3*c_1001_12^7 - 162*c_1001_12^6 - 412*c_1001_12^5 - 490*c_1001_12^4 - 290*c_1001_12^3 - 60*c_1001_12^2 + 13*c_1001_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB