Magma V2.19-8 Tue Aug 20 2013 17:56:25 on localhost [Seed = 1393747821] Type ? for help. Type -D to quit. Loading file "10^2_70__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_70 geometric_solution 10.86122877 oriented_manifold CS_known 0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 6 -1 -5 -6 0 6 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 0.567396255849 0.750889544854 0 4 0 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 0 6 0 -6 0 1 5 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359434235548 0.847721729497 6 5 7 0 0132 1302 0132 0132 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 -1 1 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 0 1.980901360891 0.868564582553 7 7 0 5 2310 3120 0132 1230 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 -5 5 0 0 0 0 0 -6 0 0 6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428702864550 0.546959317408 8 1 8 9 0132 0132 3120 0132 0 1 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 1 0 0 0 -1 1 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689893647528 0.522014279071 3 10 1 2 3012 0132 0132 2031 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067998813845 1.543845656613 2 8 11 11 0132 1302 0132 0321 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 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 0.332121893534 0.518607365057 11 3 3 2 0321 3120 3201 0132 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 6 -6 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913279166062 0.874372578255 4 9 4 6 0132 2103 3120 2031 0 1 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 5 -5 0 0 0 1 -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 0.689893647528 0.522014279071 10 8 4 10 3120 2103 0132 0132 0 1 0 0 0 0 0 0 -1 0 0 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 -1 0 -1 2 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815981117534 1.087499182913 11 5 9 9 2031 0132 0132 3120 0 1 0 0 0 0 0 0 0 0 -1 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 0 0 0 1 0 -2 1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558566352386 0.588320882402 7 6 10 6 0321 0321 1302 0132 1 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 -1 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124286341246 1.367424316050 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_11']), 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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_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' : 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_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_2'], 'c_1010_8' : negation(d['c_0011_2']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_3, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 390138/54919639*c_1001_0^10 - 87744322/54919639*c_1001_0^9 + 17249133/54919639*c_1001_0^8 - 207804547/54919639*c_1001_0^7 + 179181355/54919639*c_1001_0^6 + 4339948/3230567*c_1001_0^5 + 812858767/54919639*c_1001_0^4 + 344187125/54919639*c_1001_0^3 + 604456829/54919639*c_1001_0^2 + 92891911/54919639*c_1001_0 + 264433914/54919639, c_0011_0 - 1, c_0011_10 + 587704/3230567*c_1001_0^10 - 502244/3230567*c_1001_0^9 + 2312812/3230567*c_1001_0^8 - 2513560/3230567*c_1001_0^7 + 1789974/3230567*c_1001_0^6 - 6578699/3230567*c_1001_0^5 - 224971/3230567*c_1001_0^4 - 8299604/3230567*c_1001_0^3 + 4027239/3230567*c_1001_0^2 - 517792/3230567*c_1001_0 + 6763902/3230567, c_0011_11 + 1159320/3230567*c_1001_0^10 - 846500/3230567*c_1001_0^9 + 4477000/3230567*c_1001_0^8 - 3746614/3230567*c_1001_0^7 + 2920042/3230567*c_1001_0^6 - 11331706/3230567*c_1001_0^5 - 2597920/3230567*c_1001_0^4 - 17932612/3230567*c_1001_0^3 - 780886/3230567*c_1001_0^2 - 4940676/3230567*c_1001_0 + 2356485/3230567, c_0011_2 - 132092/3230567*c_1001_0^10 - 527750/3230567*c_1001_0^9 + 16674/3230567*c_1001_0^8 - 1759551/3230567*c_1001_0^7 + 2673460/3230567*c_1001_0^6 - 1559616/3230567*c_1001_0^5 + 8751345/3230567*c_1001_0^4 - 1808953/3230567*c_1001_0^3 + 10284894/3230567*c_1001_0^2 - 2080370/3230567*c_1001_0 + 4055702/3230567, c_0011_3 + 306476/3230567*c_1001_0^10 - 860240/3230567*c_1001_0^9 + 1362990/3230567*c_1001_0^8 - 2566798/3230567*c_1001_0^7 + 1237702/3230567*c_1001_0^6 - 1784551/3230567*c_1001_0^5 + 2229233/3230567*c_1001_0^4 + 1026677/3230567*c_1001_0^3 + 3369806/3230567*c_1001_0^2 + 4633506/3230567*c_1001_0 + 552567/3230567, c_0011_7 + 721560/3230567*c_1001_0^10 - 483390/3230567*c_1001_0^9 + 3430522/3230567*c_1001_0^8 - 2380377/3230567*c_1001_0^7 + 3012217/3230567*c_1001_0^6 - 7709259/3230567*c_1001_0^5 - 3123048/3230567*c_1001_0^4 - 14546971/3230567*c_1001_0^3 - 4681647/3230567*c_1001_0^2 - 3901692/3230567*c_1001_0 - 573789/3230567, c_0011_9 + 278462/3230567*c_1001_0^10 - 162640/3230567*c_1001_0^9 + 1346765/3230567*c_1001_0^8 - 1044696/3230567*c_1001_0^7 + 1289429/3230567*c_1001_0^6 - 3982259/3230567*c_1001_0^5 - 1039544/3230567*c_1001_0^4 - 5330574/3230567*c_1001_0^3 - 2275300/3230567*c_1001_0^2 - 121414/3230567*c_1001_0 + 2446053/3230567, c_0101_1 + 571616/3230567*c_1001_0^10 - 344256/3230567*c_1001_0^9 + 2164188/3230567*c_1001_0^8 - 1233054/3230567*c_1001_0^7 + 1130068/3230567*c_1001_0^6 - 4753007/3230567*c_1001_0^5 - 2372949/3230567*c_1001_0^4 - 9633008/3230567*c_1001_0^3 - 4808125/3230567*c_1001_0^2 - 4422884/3230567*c_1001_0 - 1176850/3230567, c_0101_10 + 1049424/3230567*c_1001_0^10 - 788996/3230567*c_1001_0^9 + 5405562/3230567*c_1001_0^8 - 5055932/3230567*c_1001_0^7 + 7435689/3230567*c_1001_0^6 - 17021427/3230567*c_1001_0^5 + 1120010/3230567*c_1001_0^4 - 26986382/3230567*c_1001_0^3 - 202064/3230567*c_1001_0^2 - 12190916/3230567*c_1001_0 + 8021425/3230567, c_0101_4 - 1, c_0101_8 + 770962/3230567*c_1001_0^10 - 626356/3230567*c_1001_0^9 + 4058797/3230567*c_1001_0^8 - 4011236/3230567*c_1001_0^7 + 6146260/3230567*c_1001_0^6 - 13039168/3230567*c_1001_0^5 + 2159554/3230567*c_1001_0^4 - 21655808/3230567*c_1001_0^3 + 2073236/3230567*c_1001_0^2 - 12069502/3230567*c_1001_0 + 5575372/3230567, c_1001_0^11 - c_1001_0^10 + 11/2*c_1001_0^9 - 11/2*c_1001_0^8 + 19/2*c_1001_0^7 - 17*c_1001_0^6 + 13/2*c_1001_0^5 - 61/2*c_1001_0^4 + 3/2*c_1001_0^3 - 24*c_1001_0^2 + 3*c_1001_0 - 17/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB