Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 1848636067] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0348 geometric_solution 4.37421634 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 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 -1 1 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.165882560165 1.191986960138 0 3 2 4 0132 2310 1023 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 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 0.695167240821 0.394241978860 0 0 1 3 2310 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.114532100246 0.822996521603 4 2 0 1 3120 0321 0132 3201 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 0 1 -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 -0.088436519188 0.617272135381 5 5 1 3 0132 2310 0132 3120 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.476815069267 0.299707644079 4 6 6 4 0132 0132 1023 3201 0 0 0 0 0 0 0 0 1 0 0 -1 -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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.571093299446 0.214513322317 6 5 5 6 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.177509481110 0.171800920670 ==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' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], '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_0011_3'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_6'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_1']})} 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_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2445154566557/842925868554*c_0101_6^13 - 1456267226709/280975289518*c_0101_6^12 - 11565147113173/421462934277*c_0101_6^11 - 23436764530097/842925868554*c_0101_6^10 + 38106949256625/280975289518*c_0101_6^9 + 540926960045/2978536638*c_0101_6^8 + 653342916657/5734189582*c_0101_6^7 - 43808460668527/280975289518*c_0101_6^6 + 50561425823735/140487644759*c_0101_6^5 - 25803359498022/140487644759*c_0101_6^4 + 66168765737409/280975289518*c_0101_6^3 - 78056576615849/842925868554*c_0101_6^2 + 20630743346663/421462934277*c_0101_6 - 5553917554222/421462934277, c_0011_0 - 1, c_0011_3 - 867198629/25543208138*c_0101_6^13 - 2067332027/12771604069*c_0101_6^12 - 5367699655/12771604069*c_0101_6^11 - 14203210274/12771604069*c_0101_6^10 + 17876686085/12771604069*c_0101_6^9 + 704779757/90258686*c_0101_6^8 + 13737395479/3649029734*c_0101_6^7 - 114157373609/25543208138*c_0101_6^6 - 54748471075/12771604069*c_0101_6^5 + 417306271117/25543208138*c_0101_6^4 - 293173324615/25543208138*c_0101_6^3 + 82229796240/12771604069*c_0101_6^2 - 50216701750/12771604069*c_0101_6 + 6043277509/25543208138, c_0011_4 + 10296454823/25543208138*c_0101_6^13 + 9944862629/12771604069*c_0101_6^12 + 100139656135/25543208138*c_0101_6^11 + 113292857263/25543208138*c_0101_6^10 - 233064618452/12771604069*c_0101_6^9 - 1256434370/45129343*c_0101_6^8 - 71571316973/3649029734*c_0101_6^7 + 234836840781/12771604069*c_0101_6^6 - 602161905335/12771604069*c_0101_6^5 + 483780815939/25543208138*c_0101_6^4 - 723516758093/25543208138*c_0101_6^3 + 147096997433/25543208138*c_0101_6^2 - 89838995235/25543208138*c_0101_6 + 11277201267/25543208138, c_0101_1 - 407689349/25543208138*c_0101_6^13 - 1923947986/12771604069*c_0101_6^12 - 4283785167/12771604069*c_0101_6^11 - 15641598510/12771604069*c_0101_6^10 - 2071623461/25543208138*c_0101_6^9 + 653027253/90258686*c_0101_6^8 + 3539907683/521289962*c_0101_6^7 + 9476635577/12771604069*c_0101_6^6 - 159416108613/25543208138*c_0101_6^5 + 400331526209/25543208138*c_0101_6^4 - 263257839065/25543208138*c_0101_6^3 + 76095892456/12771604069*c_0101_6^2 - 31991052837/12771604069*c_0101_6 - 2384043177/12771604069, c_0101_2 - 1, c_0101_5 - 1003980483/25543208138*c_0101_6^13 - 4786484817/25543208138*c_0101_6^12 - 13521520821/25543208138*c_0101_6^11 - 17111908768/12771604069*c_0101_6^10 + 32908765107/25543208138*c_0101_6^9 + 401984773/45129343*c_0101_6^8 + 25009375079/3649029734*c_0101_6^7 - 43258284806/12771604069*c_0101_6^6 - 80820043435/12771604069*c_0101_6^5 + 175200202791/12771604069*c_0101_6^4 - 181412381929/25543208138*c_0101_6^3 + 67542470035/12771604069*c_0101_6^2 - 74825512505/25543208138*c_0101_6 + 3930186919/12771604069, c_0101_6^14 + 2*c_0101_6^13 + 10*c_0101_6^12 + 12*c_0101_6^11 - 43*c_0101_6^10 - 70*c_0101_6^9 - 59*c_0101_6^8 + 30*c_0101_6^7 - 126*c_0101_6^6 + 42*c_0101_6^5 - 81*c_0101_6^4 + 10*c_0101_6^3 - 18*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB