Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 71670132] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2932 geometric_solution 6.12877429 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.213875620297 0.967445179092 0 3 5 4 0132 3201 0132 0132 0 0 0 0 0 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 0 0 0 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 0 0 0.196607886880 0.552235083811 0 0 3 5 3201 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.217864067474 0.985486524749 2 6 1 0 2031 0132 2310 0132 0 0 0 0 0 -1 1 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 -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 1.459137985690 0.913998618168 5 4 1 4 2310 2310 0132 3201 0 0 0 0 0 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 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 -0.290047404288 1.014717279670 6 2 4 1 2103 1302 3201 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326481826669 1.496462082707 6 3 5 6 3012 0132 2103 1230 0 0 0 0 0 1 0 -1 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 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 0.622081475586 0.635910025463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : 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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), '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' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], '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_0101_0']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0']})} 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_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1538889888255299584/11066751942285*c_0101_5^17 - 4639520599115935744/11066751942285*c_0101_5^15 + 4951691984528647936/11066751942285*c_0101_5^13 - 1295500954618463168/3688917314095*c_0101_5^11 + 2708179925493806288/11066751942285*c_0101_5^9 - 1154850395843604556/11066751942285*c_0101_5^7 + 88267922014963771/3688917314095*c_0101_5^5 - 239516410245940333/44267007769140*c_0101_5^3 + 5089635184698946/11066751942285*c_0101_5, c_0011_0 - 1, c_0011_3 - 31397585600512/56752574063*c_0101_5^16 + 90546162720768/56752574063*c_0101_5^14 - 89698197595136/56752574063*c_0101_5^12 + 69111421418752/56752574063*c_0101_5^10 - 47832378677056/56752574063*c_0101_5^8 + 18605387927696/56752574063*c_0101_5^6 - 3822835980308/56752574063*c_0101_5^4 + 1018080562889/56752574063*c_0101_5^2 - 43889454473/56752574063, c_0011_4 + 10864522805248/56752574063*c_0101_5^17 - 36971107090432/56752574063*c_0101_5^15 + 46305620440064/56752574063*c_0101_5^13 - 37163298913024/56752574063*c_0101_5^11 + 26188993362112/56752574063*c_0101_5^9 - 13060200019792/56752574063*c_0101_5^7 + 3407722882636/56752574063*c_0101_5^5 - 566316776835/56752574063*c_0101_5^3 + 145411492538/56752574063*c_0101_5, c_0011_5 - 38766727593984/56752574063*c_0101_5^16 + 112572003614720/56752574063*c_0101_5^14 - 112237863084032/56752574063*c_0101_5^12 + 85575964405760/56752574063*c_0101_5^10 - 59220873150080/56752574063*c_0101_5^8 + 23130468926112/56752574063*c_0101_5^6 - 4521205031816/56752574063*c_0101_5^4 + 1263286353000/56752574063*c_0101_5^2 - 64312478527/56752574063, c_0101_0 - 37841309466624/56752574063*c_0101_5^17 + 125281871577088/56752574063*c_0101_5^15 - 153693662285824/56752574063*c_0101_5^13 + 126126541479936/56752574063*c_0101_5^11 - 89055956328704/56752574063*c_0101_5^9 + 43515667434496/56752574063*c_0101_5^7 - 11807944738272/56752574063*c_0101_5^5 + 2177561487720/56752574063*c_0101_5^3 - 296492558047/56752574063*c_0101_5, c_0101_3 - 23326898618368/56752574063*c_0101_5^16 + 68846240555008/56752574063*c_0101_5^14 - 70742654496768/56752574063*c_0101_5^12 + 54459233257472/56752574063*c_0101_5^10 - 37467249194752/56752574063*c_0101_5^8 + 15026995075776/56752574063*c_0101_5^6 - 2905625634272/56752574063*c_0101_5^4 + 563408139550/56752574063*c_0101_5^2 + 8458157841/56752574063, c_0101_5^18 - 3*c_0101_5^16 + 51/16*c_0101_5^14 - 161/64*c_0101_5^12 + 449/256*c_0101_5^10 - 767/1024*c_0101_5^8 + 725/4096*c_0101_5^6 - 673/16384*c_0101_5^4 + 15/4096*c_0101_5^2 - 1/8192 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB