Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 122067916] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1008 geometric_solution 4.89167609 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 -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 0.392991157598 0.488230189852 0 4 0 4 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.828812612224 1.000067081189 5 6 3 0 0132 0132 2031 0132 0 0 0 0 0 1 0 -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 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651337060211 0.435762787606 6 5 0 2 2310 3201 0132 1302 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 -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 0.651337060211 0.435762787606 1 1 4 4 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365109039570 0.039501064025 2 5 3 5 0132 2310 2310 3201 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 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 0.236158022157 1.373474453868 6 2 3 6 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939413581415 0.709562103083 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), '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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 311794035532/109205034543*c_0110_4^18 - 26086859335672/109205034543*c_0110_4^16 + 149501994811549/218410069086*c_0110_4^14 - 103542112461758/109205034543*c_0110_4^12 + 29606176339447/24267785454*c_0110_4^10 - 95774164821817/72803356362*c_0110_4^8 + 2477923033361/2206162314*c_0110_4^6 - 15556827308567/24267785454*c_0110_4^4 + 53367069288809/218410069086*c_0110_4^2 - 369425087209/8089261818, c_0011_0 - 1, c_0011_2 + 2500518767/4044630909*c_0110_4^19 - 69635752504/1348210303*c_0110_4^17 + 575304238583/4044630909*c_0110_4^15 - 285679784840/1348210303*c_0110_4^13 + 1077528241013/4044630909*c_0110_4^11 - 398678458234/1348210303*c_0110_4^9 + 31180090898/122564573*c_0110_4^7 - 206613848080/1348210303*c_0110_4^5 + 249296993456/4044630909*c_0110_4^3 - 56805793237/4044630909*c_0110_4, c_0101_0 - 7227156/70958437*c_0110_4^18 + 600458557/70958437*c_0110_4^16 - 1381416933/70958437*c_0110_4^14 + 1506165634/70958437*c_0110_4^12 - 1655486165/70958437*c_0110_4^10 + 1765150568/70958437*c_0110_4^8 - 94985124/6450767*c_0110_4^6 + 83073660/70958437*c_0110_4^4 + 177324344/70958437*c_0110_4^2 - 75268667/70958437, c_0101_1 - 16247456/70958437*c_0110_4^19 + 1372013460/70958437*c_0110_4^17 - 4954776765/70958437*c_0110_4^15 + 8595287397/70958437*c_0110_4^13 - 10929690114/70958437*c_0110_4^11 + 12427549493/70958437*c_0110_4^9 - 1068848728/6450767*c_0110_4^7 + 7917510252/70958437*c_0110_4^5 - 3365059772/70958437*c_0110_4^3 + 759059491/70958437*c_0110_4, c_0101_2 + 23474612/70958437*c_0110_4^18 - 1972472017/70958437*c_0110_4^16 + 6336193698/70958437*c_0110_4^14 - 10101453031/70958437*c_0110_4^12 + 12585176279/70958437*c_0110_4^10 - 14192700061/70958437*c_0110_4^8 + 1163833852/6450767*c_0110_4^6 - 8000583912/70958437*c_0110_4^4 + 3187735428/70958437*c_0110_4^2 - 683790824/70958437, c_0101_6 - 3910977056/4044630909*c_0110_4^19 + 108653010166/1348210303*c_0110_4^17 - 834553048430/4044630909*c_0110_4^15 + 397350201641/1348210303*c_0110_4^13 - 1512932117984/4044630909*c_0110_4^11 + 549054040263/1348210303*c_0110_4^9 - 41589586914/122564573*c_0110_4^7 + 272285792202/1348210303*c_0110_4^5 - 317838197615/4044630909*c_0110_4^3 + 70053724627/4044630909*c_0110_4, c_0110_4^20 - 84*c_0110_4^18 + 268*c_0110_4^16 - 444*c_0110_4^14 + 580*c_0110_4^12 - 663*c_0110_4^10 + 615*c_0110_4^8 - 423*c_0110_4^6 + 202*c_0110_4^4 - 62*c_0110_4^2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB