Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 543276285] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1452 geometric_solution 5.27117760 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 1.708680347528 0.306587203404 0 2 2 0 3201 0132 1023 0132 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 1 -1 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 1.097862362952 0.806177955269 3 1 1 4 0132 0132 1023 0132 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 0 0 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311614162402 0.207622982655 2 5 6 4 0132 0132 0132 0321 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 -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 1.037349920396 0.980226092023 6 3 2 5 0132 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037349920396 0.980226092023 5 3 5 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496398249317 0.916936389217 4 6 6 3 0132 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173340192914 0.649243534463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2239177575347444618663/18652492740683762239437*c_0101_6^14 + 3167983721282390757475/2072499193409306915493*c_0101_6^13 + 139048329265177237143808/18652492740683762239437*c_0101_6^12 + 121416773297055221541754/6217497580227920746479*c_0101_6^11 + 211644136103491955215282/6217497580227920746479*c_0101_6^10 + 706298026860844367946535/18652492740683762239437*c_0101_6^9 - 119920879907336931562/643189404851164215153*c_0101_6^8 - 1117526834467557270052238/18652492740683762239437*c_0101_6^7 - 1287638634423436826340800/18652492740683762239437*c_0101_6^6 - 151118525604151385070634/18652492740683762239437*c_0101_6^5 + 2969649009643235914763380/18652492740683762239437*c_0101_6^4 + 1593246370386954863441897/6217497580227920746479*c_0101_6^3 + 52423814086716897503126/690833064469768971831*c_0101_6^2 - 89175913483876221770752/690833064469768971831*c_0101_6 - 17418099891457457868436/230277688156589657277, c_0011_0 - 1, c_0011_1 - 13150616094668515/7392981664955910519*c_0101_6^14 - 51786864008778031/2464327221651970173*c_0101_6^13 - 680413116512410295/7392981664955910519*c_0101_6^12 - 535369357968997408/2464327221651970173*c_0101_6^11 - 928276777373818070/2464327221651970173*c_0101_6^10 - 3332980548243608075/7392981664955910519*c_0101_6^9 - 483921268173412505/7392981664955910519*c_0101_6^8 + 2913751334976335002/7392981664955910519*c_0101_6^7 + 4093616825081022160/7392981664955910519*c_0101_6^6 + 2211582890242329419/7392981664955910519*c_0101_6^5 - 11545049187179394230/7392981664955910519*c_0101_6^4 - 2086325410283570383/821442407217323391*c_0101_6^3 - 1181794726243582588/821442407217323391*c_0101_6^2 + 90027960893475065/273814135739107797*c_0101_6 + 96280002988274433/91271378579702599, c_0011_4 + 15861309730104295/214396468283721405051*c_0101_6^14 + 35685890951622694/23821829809302378339*c_0101_6^13 + 2262621751167651362/214396468283721405051*c_0101_6^12 + 2388295192152012845/71465489427907135017*c_0101_6^11 + 3958664168783608667/71465489427907135017*c_0101_6^10 + 12159923143121986565/214396468283721405051*c_0101_6^9 - 200141270575812254/7392981664955910519*c_0101_6^8 - 55720796666556841393/214396468283721405051*c_0101_6^7 - 59212193859055604371/214396468283721405051*c_0101_6^6 - 21327455211579331895/214396468283721405051*c_0101_6^5 + 52152501321973973540/214396468283721405051*c_0101_6^4 + 82651675227974607097/71465489427907135017*c_0101_6^3 + 1203605316706466770/7940609936434126113*c_0101_6^2 - 1686102267130048051/2646869978811375371*c_0101_6 - 1525435420107734522/2646869978811375371, c_0101_0 - 123629509964143745/214396468283721405051*c_0101_6^14 - 590162646770220359/71465489427907135017*c_0101_6^13 - 10003995909322979680/214396468283721405051*c_0101_6^12 - 10083860925128313641/71465489427907135017*c_0101_6^11 - 19076060235638233951/71465489427907135017*c_0101_6^10 - 66416924117705075710/214396468283721405051*c_0101_6^9 - 248651373487009904/7392981664955910519*c_0101_6^8 + 113942472659421223619/214396468283721405051*c_0101_6^7 + 171855400594805534873/214396468283721405051*c_0101_6^6 + 74321228972600178880/214396468283721405051*c_0101_6^5 - 277628424584288451808/214396468283721405051*c_0101_6^4 - 50138921757282817997/23821829809302378339*c_0101_6^3 - 8306650045433361284/7940609936434126113*c_0101_6^2 + 3154974615055670779/7940609936434126113*c_0101_6 + 4252547010371602118/2646869978811375371, c_0101_3 - 2417970179016383/7392981664955910519*c_0101_6^14 - 5528707194704408/821442407217323391*c_0101_6^13 - 363587450026354573/7392981664955910519*c_0101_6^12 - 414988186127157097/2464327221651970173*c_0101_6^11 - 803992603469641645/2464327221651970173*c_0101_6^10 - 3320506104746902912/7392981664955910519*c_0101_6^9 - 2117309493708554452/7392981664955910519*c_0101_6^8 + 3804567430855597337/7392981664955910519*c_0101_6^7 + 5524303206698400269/7392981664955910519*c_0101_6^6 + 1612382875312293892/7392981664955910519*c_0101_6^5 - 5136028178015944747/7392981664955910519*c_0101_6^4 - 7523956007639942945/2464327221651970173*c_0101_6^3 - 352956846045160790/273814135739107797*c_0101_6^2 + 137410501554558986/91271378579702599*c_0101_6 + 30135176466442168/91271378579702599, c_0101_5 + 65663394643717550/214396468283721405051*c_0101_6^14 + 92677675529085368/71465489427907135017*c_0101_6^13 - 2753452932198476300/214396468283721405051*c_0101_6^12 - 6826091244319516486/71465489427907135017*c_0101_6^11 - 18582160344821722211/71465489427907135017*c_0101_6^10 - 98507071587150157655/214396468283721405051*c_0101_6^9 - 3923444429439215617/7392981664955910519*c_0101_6^8 + 33437732155348600384/214396468283721405051*c_0101_6^7 + 201847341893656256629/214396468283721405051*c_0101_6^6 + 166125919518279199139/214396468283721405051*c_0101_6^5 + 50701177255853028559/214396468283721405051*c_0101_6^4 - 71051229153170675800/23821829809302378339*c_0101_6^3 - 81325127013574466329/23821829809302378339*c_0101_6^2 - 446395922271994672/7940609936434126113*c_0101_6 + 3988787938851771705/2646869978811375371, c_0101_6^15 + 12*c_0101_6^14 + 53*c_0101_6^13 + 120*c_0101_6^12 + 177*c_0101_6^11 + 137*c_0101_6^10 - 187*c_0101_6^9 - 457*c_0101_6^8 - 241*c_0101_6^7 + 256*c_0101_6^6 + 1310*c_0101_6^5 + 1197*c_0101_6^4 - 639*c_0101_6^3 - 1242*c_0101_6^2 + 81*c_0101_6 + 243 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB