Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 122067906] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0272 geometric_solution 4.31976022 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.321286845936 0.119021170141 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.153611330774 0.495926841857 1 1 3 3 2310 0132 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 1 0 -1 0 0 1 -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 0.197629221882 0.188131652506 4 2 5 2 0132 2310 0132 0132 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 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761108484976 1.394019464132 3 6 5 5 0132 0132 0213 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143846221134 0.809069258267 4 4 6 3 3201 0213 3201 0132 0 0 0 0 0 1 0 -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 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 0.143846221134 0.809069258267 5 4 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.786984364030 1.198115607309 ==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' : 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' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 355762096761379/9677839553387*c_0101_6^19 + 8525650646269906/9677839553387*c_0101_6^17 - 59464669563391504/9677839553387*c_0101_6^15 + 140535044369200228/9677839553387*c_0101_6^13 + 221063447250639804/9677839553387*c_0101_6^11 - 253450336342158123/9677839553387*c_0101_6^9 - 298561631913641615/9677839553387*c_0101_6^7 + 4925781898122452/9677839553387*c_0101_6^5 + 42127456814385967/9677839553387*c_0101_6^3 + 6512941975348946/9677839553387*c_0101_6, c_0011_0 - 1, c_0011_3 - 267721127399/9677839553387*c_0101_6^18 + 6732272646477/9677839553387*c_0101_6^16 - 52560264757157/9677839553387*c_0101_6^14 + 164285100610702/9677839553387*c_0101_6^12 - 1227070991088/9677839553387*c_0101_6^10 - 263028448990349/9677839553387*c_0101_6^8 + 41552845518176/9677839553387*c_0101_6^6 + 72274125816676/9677839553387*c_0101_6^4 - 10682355503228/9677839553387*c_0101_6^2 + 2201087884245/9677839553387, c_0011_5 - 334289524087/9677839553387*c_0101_6^19 + 7588893963467/9677839553387*c_0101_6^17 - 44848818009623/9677839553387*c_0101_6^15 + 38694250425075/9677839553387*c_0101_6^13 + 551381991848070/9677839553387*c_0101_6^11 - 526085493476122/9677839553387*c_0101_6^9 - 566219228827646/9677839553387*c_0101_6^7 + 355865347504651/9677839553387*c_0101_6^5 + 20220151514053/9677839553387*c_0101_6^3 - 24371073152937/9677839553387*c_0101_6, c_0101_0 + 3629188477656/9677839553387*c_0101_6^19 - 88128964321232/9677839553387*c_0101_6^17 + 635122658600685/9677839553387*c_0101_6^15 - 1646393449011354/9677839553387*c_0101_6^13 - 1650941554711840/9677839553387*c_0101_6^11 + 2868005446134700/9677839553387*c_0101_6^9 + 2124274175083277/9677839553387*c_0101_6^7 - 392215180961917/9677839553387*c_0101_6^5 - 305169912818414/9677839553387*c_0101_6^3 - 31610694042743/9677839553387*c_0101_6, c_0101_1 - 568126946357/9677839553387*c_0101_6^18 + 13644890560204/9677839553387*c_0101_6^16 - 95649230006468/9677839553387*c_0101_6^14 + 228689754676916/9677839553387*c_0101_6^12 + 346489023305663/9677839553387*c_0101_6^10 - 436298606254273/9677839553387*c_0101_6^8 - 474565745796568/9677839553387*c_0101_6^6 + 63155190853553/9677839553387*c_0101_6^4 + 87098033950184/9677839553387*c_0101_6^2 + 2252705574780/9677839553387, c_0101_3 - 1728506412369/9677839553387*c_0101_6^18 + 42483194140478/9677839553387*c_0101_6^16 - 315161131943313/9677839553387*c_0101_6^14 + 880722126252480/9677839553387*c_0101_6^12 + 498312202661174/9677839553387*c_0101_6^10 - 1426651113255951/9677839553387*c_0101_6^8 - 581276603863752/9677839553387*c_0101_6^6 + 249097709342328/9677839553387*c_0101_6^4 + 64344542461505/9677839553387*c_0101_6^2 - 349490580556/9677839553387, c_0101_6^20 - 24*c_0101_6^18 + 168*c_0101_6^16 - 401*c_0101_6^14 - 607*c_0101_6^12 + 733*c_0101_6^10 + 816*c_0101_6^8 - 42*c_0101_6^6 - 121*c_0101_6^4 - 15*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB