Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 391547501] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3257 geometric_solution 6.38626844 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1230 0 0 0 0 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 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 0.198002962287 1.364626915584 0 2 2 4 0132 3012 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 0 0 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 0.602306184153 0.766478236152 1 0 5 1 1230 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206720087525 0.275738823575 0 6 4 0 3012 0132 1302 0132 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 0 0 0 1 0 -1 1 0 -1 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 0.550746244664 1.254354871914 3 5 1 6 2031 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253067190959 0.706585220781 6 4 6 2 2310 3120 3201 0132 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 0.467986463202 0.684924955577 5 3 5 4 2310 0132 3201 2103 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 -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 0.213074627179 1.908957730103 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : negation(d['1']), 's_2_0' : negation(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_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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 258097308731/7528765088*c_0101_5^12 + 3097164459371/7528765088*c_0101_5^11 - 2218556714541/3764382544*c_0101_5^10 + 850033235709/7528765088*c_0101_5^9 + 717956732881/7528765088*c_0101_5^8 - 6539342101451/7528765088*c_0101_5^7 + 11526294271621/3764382544*c_0101_5^6 - 4310758975805/1882191272*c_0101_5^5 + 20141664441291/7528765088*c_0101_5^4 - 16650399222251/7528765088*c_0101_5^3 + 4553190257149/7528765088*c_0101_5^2 - 983429197313/3764382544*c_0101_5 - 33562770121/3764382544, c_0011_0 - 1, c_0011_3 + 137286137/579135776*c_0101_5^12 - 1613350961/579135776*c_0101_5^11 + 956513991/289567888*c_0101_5^10 + 613846113/579135776*c_0101_5^9 - 1386607267/579135776*c_0101_5^8 + 3529828857/579135776*c_0101_5^7 - 5305681819/289567888*c_0101_5^6 + 1186335269/144783944*c_0101_5^5 - 5144069745/579135776*c_0101_5^4 + 3276805097/579135776*c_0101_5^3 + 1677515801/579135776*c_0101_5^2 - 411115277/289567888*c_0101_5 + 177098539/289567888, c_0011_4 - 308730985/1158271552*c_0101_5^12 + 3601844805/1158271552*c_0101_5^11 - 2005149583/579135776*c_0101_5^10 - 1532669433/1158271552*c_0101_5^9 + 2617992927/1158271552*c_0101_5^8 - 7655019465/1158271552*c_0101_5^7 + 11751915101/579135776*c_0101_5^6 - 1175192335/144783944*c_0101_5^5 + 12121113741/1158271552*c_0101_5^4 - 6679181921/1158271552*c_0101_5^3 - 3798717725/1158271552*c_0101_5^2 + 785732725/579135776*c_0101_5 - 248560567/579135776, c_0011_5 - 33753697/579135776*c_0101_5^12 + 378691531/579135776*c_0101_5^11 - 131537265/289567888*c_0101_5^10 - 337748473/579135776*c_0101_5^9 - 11836003/579135776*c_0101_5^8 - 314156905/579135776*c_0101_5^7 + 73318739/18097993*c_0101_5^6 - 326413109/289567888*c_0101_5^5 + 1553821591/579135776*c_0101_5^4 - 954285441/579135776*c_0101_5^3 + 205163505/579135776*c_0101_5^2 + 18594629/289567888*c_0101_5 - 174287917/289567888, c_0101_0 - 43889155/1158271552*c_0101_5^12 + 422533231/1158271552*c_0101_5^11 + 232671459/579135776*c_0101_5^10 - 1240413939/1158271552*c_0101_5^9 - 651512819/1158271552*c_0101_5^8 + 343191869/1158271552*c_0101_5^7 + 886133099/579135776*c_0101_5^6 + 248179927/72391972*c_0101_5^5 + 414769239/1158271552*c_0101_5^4 - 428647531/1158271552*c_0101_5^3 - 1195506183/1158271552*c_0101_5^2 + 212331911/579135776*c_0101_5 + 118722507/579135776, c_0101_2 - 105636511/1158271552*c_0101_5^12 + 1301796843/1158271552*c_0101_5^11 - 1085481785/579135776*c_0101_5^10 + 289879713/1158271552*c_0101_5^9 + 938796273/1158271552*c_0101_5^8 - 2591327679/1158271552*c_0101_5^7 + 4998505615/579135776*c_0101_5^6 - 551910413/72391972*c_0101_5^5 + 6354683699/1158271552*c_0101_5^4 - 7326072823/1158271552*c_0101_5^3 + 336844749/1158271552*c_0101_5^2 + 485934339/579135776*c_0101_5 - 174775193/579135776, c_0101_5^13 - 12*c_0101_5^12 + 17*c_0101_5^11 - c_0101_5^10 - 6*c_0101_5^9 + 26*c_0101_5^8 - 89*c_0101_5^7 + 62*c_0101_5^6 - 61*c_0101_5^5 + 52*c_0101_5^4 - 2*c_0101_5^3 - 5*c_0101_5^2 + 4*c_0101_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB