Magma V2.19-8 Tue Aug 20 2013 23:50:38 on localhost [Seed = 1814693706] Type ? for help. Type -D to quit. Loading file "L12n586__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n586 geometric_solution 10.64769471 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 -1 1 0 0 -1 0 -1 0 1 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.192807652920 0.990626090910 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 1 -1 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 16 -16 0 -1 0 0 1 17 0 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494330685203 0.606666894292 5 0 8 6 3201 0132 0132 3201 1 0 1 0 0 0 0 0 -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 -1 0 1 0 0 0 0 0 -17 0 17 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595446925654 0.596473335070 9 5 4 0 0132 3201 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -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 16 -16 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494330685203 0.606666894292 3 8 0 7 2103 3201 0132 3012 1 1 1 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 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 1.007701264852 0.824103546459 9 1 3 2 1023 0132 2310 2310 1 0 0 1 0 -1 1 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 -16 16 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 0.698458829423 0.684345592374 9 2 1 7 2103 2310 0132 0321 1 1 0 1 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 -17 0 17 0 0 -1 1 0 0 0 0 -16 -1 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546637342198 0.454954292963 10 6 4 1 0132 0321 1230 0132 1 1 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 0 0 0 0 0 -17 1 16 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 1.018679699730 1.796671404440 11 11 4 2 0132 2310 2310 0132 1 0 0 1 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 0.493061253037 0.616989762837 3 5 6 10 0132 1023 2103 3201 0 1 0 1 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 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119371601575 1.301343219138 7 9 11 11 0132 2310 1023 3201 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 0 0 0 0 -0.203040007570 0.356490787308 8 10 10 8 0132 2310 1023 3201 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 0 0 0 0 0 0 0 -0.137314279280 1.751387832737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0110_4'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0110_4']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_2']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_2, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 8314736380301312/1639178958875*c_1001_0^11 + 331811076386816/327835791775*c_1001_0^10 - 2913793728963584/327835791775*c_1001_0^9 + 1482260489457664/1639178958875*c_1001_0^8 - 1542877375649792/327835791775*c_1001_0^7 - 403824277836544/1639178958875*c_1001_0^6 - 926464947270336/1639178958875*c_1001_0^5 - 869920484470592/1639178958875*c_1001_0^4 - 703713482881168/1639178958875*c_1001_0^3 - 681484676021824/1639178958875*c_1001_0^2 - 21276351353048/56523412375*c_1001_0 - 343343752412604/1639178958875, c_0011_0 - 1, c_0011_10 + 229742720/2295367*c_1001_0^11 - 202580288/2295367*c_1001_0^10 + 448144992/2295367*c_1001_0^9 - 317233872/2295367*c_1001_0^8 + 312944240/2295367*c_1001_0^7 - 169961488/2295367*c_1001_0^6 + 110011528/2295367*c_1001_0^5 - 39734452/2295367*c_1001_0^4 + 42980961/2295367*c_1001_0^3 - 20826289/4590734*c_1001_0^2 + 47420767/9181468*c_1001_0 - 12457419/18362936, c_0011_11 + 76830592/2295367*c_1001_0^11 - 78786880/2295367*c_1001_0^10 + 173485856/2295367*c_1001_0^9 - 133233104/2295367*c_1001_0^8 + 139307248/2295367*c_1001_0^7 - 81459088/2295367*c_1001_0^6 + 40287864/2295367*c_1001_0^5 - 20962004/2295367*c_1001_0^4 + 8069991/2295367*c_1001_0^3 - 7678665/4590734*c_1001_0^2 + 20895853/9181468*c_1001_0 - 6997879/18362936, c_0011_4 + 19868160/2295367*c_1001_0^11 - 78139200/2295367*c_1001_0^10 + 87016000/2295367*c_1001_0^9 - 139899216/2295367*c_1001_0^8 + 97638576/2295367*c_1001_0^7 - 80671600/2295367*c_1001_0^6 + 39472704/2295367*c_1001_0^5 - 19504324/2295367*c_1001_0^4 + 6981112/2295367*c_1001_0^3 - 21826905/4590734*c_1001_0^2 + 5067089/4590734*c_1001_0 - 22132385/18362936, c_0101_0 - 1, c_0101_1 - 99904512/2295367*c_1001_0^11 + 67987712/2295367*c_1001_0^10 - 197801472/2295367*c_1001_0^9 + 113619776/2295367*c_1001_0^8 - 135697472/2295367*c_1001_0^7 + 64111872/2295367*c_1001_0^6 - 45322240/2295367*c_1001_0^5 + 14312480/2295367*c_1001_0^4 - 23094968/2295367*c_1001_0^3 + 2626474/2295367*c_1001_0^2 - 8096168/2295367*c_1001_0 + 563323/4590734, c_0101_11 - 213105152/2295367*c_1001_0^11 + 195876800/2295367*c_1001_0^10 - 445620672/2295367*c_1001_0^9 + 327466736/2295367*c_1001_0^8 - 344419472/2295367*c_1001_0^7 + 194864272/2295367*c_1001_0^6 - 133709760/2295367*c_1001_0^5 + 52191868/2295367*c_1001_0^4 - 47663864/2295367*c_1001_0^3 + 24947819/4590734*c_1001_0^2 - 30854387/4590734*c_1001_0 + 19212091/18362936, c_0101_7 + 53382144/2295367*c_1001_0^11 - 72695872/2295367*c_1001_0^10 + 113013952/2295367*c_1001_0^9 - 111613712/2295367*c_1001_0^8 + 90428272/2295367*c_1001_0^7 - 61598416/2295367*c_1001_0^6 + 29827456/2295367*c_1001_0^5 - 16035748/2295367*c_1001_0^4 + 2430508/2295367*c_1001_0^3 - 8999529/4590734*c_1001_0^2 + 886819/4590734*c_1001_0 - 7474357/18362936, c_0101_8 - 43965440/2295367*c_1001_0^11 + 25780416/2295367*c_1001_0^10 - 85362496/2295367*c_1001_0^9 + 50764208/2295367*c_1001_0^8 - 61363152/2295367*c_1001_0^7 + 28492944/2295367*c_1001_0^6 - 19318784/2295367*c_1001_0^5 - 4814948/2295367*c_1001_0^4 - 4937028/2295367*c_1001_0^3 - 8942345/4590734*c_1001_0^2 - 3952817/4590734*c_1001_0 + 502231/18362936, c_0110_2 + 19868160/2295367*c_1001_0^11 - 78139200/2295367*c_1001_0^10 + 87016000/2295367*c_1001_0^9 - 139899216/2295367*c_1001_0^8 + 97638576/2295367*c_1001_0^7 - 80671600/2295367*c_1001_0^6 + 39472704/2295367*c_1001_0^5 - 19504324/2295367*c_1001_0^4 + 6981112/2295367*c_1001_0^3 - 21826905/4590734*c_1001_0^2 + 5067089/4590734*c_1001_0 - 22132385/18362936, c_0110_4 - 12048640/2295367*c_1001_0^11 - 26179392/2295367*c_1001_0^10 + 826752/2295367*c_1001_0^9 - 44567504/2295367*c_1001_0^8 + 18137712/2295367*c_1001_0^7 - 26089328/2295367*c_1001_0^6 + 10076960/2295367*c_1001_0^5 - 12159636/2295367*c_1001_0^4 + 1022042/2295367*c_1001_0^3 - 15384625/4590734*c_1001_0^2 + 278568/2295367*c_1001_0 - 10815077/18362936, c_1001_0^12 - c_1001_0^11 + 5/2*c_1001_0^10 - 2*c_1001_0^9 + 37/16*c_1001_0^8 - 23/16*c_1001_0^7 + c_1001_0^6 - 7/16*c_1001_0^5 + 39/128*c_1001_0^4 - 11/128*c_1001_0^3 + 29/256*c_1001_0^2 - 13/512*c_1001_0 + 29/2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB