Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 1360055678] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s179 geometric_solution 4.27673527 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0.504141967987 0.119501545506 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 1 -1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617812844453 0.325669292662 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 1 -1 0 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 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 1.658697103572 1.874588481418 5 2 4 4 0132 0132 3012 2310 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 1 0 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 0.185060961656 1.150140313088 3 3 2 5 3201 1230 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185060961656 1.150140313088 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.393113983586 0.249119243461 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : 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_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/18*c_0101_3, c_0011_0 - 1, c_0011_1 - 2, c_0011_4 - c_0101_3, c_0101_0 + c_0101_3, c_0101_1 - 1, c_0101_3^2 - 3 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 7188357340451555/23324872787942*c_0101_3^13 + 233035582485901556/11662436393971*c_0101_3^11 + 442599723993046373/23324872787942*c_0101_3^9 + 37782251816567007669/23324872787942*c_0101_3^7 - 9919958220728365476/11662436393971*c_0101_3^5 + 474804082613732445/2120442980722*c_0101_3^3 - 483225469214031815/23324872787942*c_0101_3, c_0011_0 - 1, c_0011_1 - 186181594005/96383771851*c_0101_3^12 + 12071920981392/96383771851*c_0101_3^10 + 11432845915950/96383771851*c_0101_3^8 + 978542949848358/96383771851*c_0101_3^6 - 516357683791106/96383771851*c_0101_3^4 + 136204315902163/96383771851*c_0101_3^2 - 12702266333632/96383771851, c_0011_4 + 167008482662/96383771851*c_0101_3^13 - 10828373679371/96383771851*c_0101_3^11 - 10279490771010/96383771851*c_0101_3^9 - 877803777356836/96383771851*c_0101_3^7 + 461217317582683/96383771851*c_0101_3^5 - 121891712190039/96383771851*c_0101_3^3 + 11371107563048/96383771851*c_0101_3, c_0101_0 + 224676111102/96383771851*c_0101_3^13 - 14569074661915/96383771851*c_0101_3^11 - 13719830604755/96383771851*c_0101_3^9 - 1180777429635239/96383771851*c_0101_3^7 + 629384209705379/96383771851*c_0101_3^5 - 166514221185394/96383771851*c_0101_3^3 + 15737902184361/96383771851*c_0101_3, c_0101_1 + 110480626071/96383771851*c_0101_3^12 - 7163497062207/96383771851*c_0101_3^10 - 6785021576998/96383771851*c_0101_3^8 - 580669591047761/96383771851*c_0101_3^6 + 306354220963029/96383771851*c_0101_3^4 - 80729687014067/96383771851*c_0101_3^2 + 7574374875184/96383771851, c_0101_3^14 - 65*c_0101_3^12 - 51*c_0101_3^10 - 5246*c_0101_3^8 + 3617*c_0101_3^6 - 1177*c_0101_3^4 + 186*c_0101_3^2 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB