Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2328565397] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s671 geometric_solution 5.16816208 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613496308751 1.249151002737 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120110959553 0.871207133495 3 0 4 1 3201 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 0 0 0 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120110959553 0.871207133495 5 1 5 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754916895866 1.114785429430 2 4 1 4 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155296782676 1.126422313004 3 3 5 5 0132 3201 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 -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 0 0 0 0 0.481426113817 0.175863800519 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0']), 'c_0011_4' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1651282766840708032/308062259504508997*c_0101_3^17 - 11135353552936981168/308062259504508997*c_0101_3^15 + 27271223393101076647/308062259504508997*c_0101_3^13 - 39200501966033206/274810222573157*c_0101_3^11 + 37684963168059409205/308062259504508997*c_0101_3^9 - 25765963363948970675/308062259504508997*c_0101_3^7 + 10715067693606553930/308062259504508997*c_0101_3^5 + 1162638701567345062/308062259504508997*c_0101_3^3 - 1912068952810564176/308062259504508997*c_0101_3, c_0011_0 - 1, c_0011_4 + 29740244265984/853358059569277*c_0101_3^17 + 308231608964224/853358059569277*c_0101_3^15 - 2954439481120496/853358059569277*c_0101_3^13 + 130793089749226/14463695924903*c_0101_3^11 - 13372048632167931/853358059569277*c_0101_3^9 + 12888170968747015/853358059569277*c_0101_3^7 - 10179236522735876/853358059569277*c_0101_3^5 + 5973619918354223/853358059569277*c_0101_3^3 - 375316447855965/853358059569277*c_0101_3, c_0101_0 + 907783729832896/853358059569277*c_0101_3^16 - 6270151319053936/853358059569277*c_0101_3^14 + 15924427759237623/853358059569277*c_0101_3^12 - 447953618325231/14463695924903*c_0101_3^10 + 25208830142307985/853358059569277*c_0101_3^8 - 18792563196893402/853358059569277*c_0101_3^6 + 10391854080528858/853358059569277*c_0101_3^4 - 388298187837467/853358059569277*c_0101_3^2 - 79197240805558/853358059569277, c_0101_1 - 12964370453888/14463695924903*c_0101_3^17 + 88403907038240/14463695924903*c_0101_3^15 - 213858677805718/14463695924903*c_0101_3^13 + 319645768977001/14463695924903*c_0101_3^11 - 237714428065106/14463695924903*c_0101_3^9 + 103288170651501/14463695924903*c_0101_3^7 - 33535867703624/14463695924903*c_0101_3^5 - 49835844510023/14463695924903*c_0101_3^3 + 22238011365191/14463695924903*c_0101_3, c_0101_2 - 5587778752448/14463695924903*c_0101_3^16 + 40769660640176/14463695924903*c_0101_3^14 - 111419548614775/14463695924903*c_0101_3^12 + 189299523759830/14463695924903*c_0101_3^10 - 187802459695953/14463695924903*c_0101_3^8 + 124467397203136/14463695924903*c_0101_3^6 - 61179668657175/14463695924903*c_0101_3^4 - 9646557357124/14463695924903*c_0101_3^2 + 10614898446405/14463695924903, c_0101_3^18 - 29/4*c_0101_3^16 + 1257/64*c_0101_3^14 - 133/4*c_0101_3^12 + 527/16*c_0101_3^10 - 1437/64*c_0101_3^8 + 195/16*c_0101_3^6 - 7/8*c_0101_3^4 - 43/32*c_0101_3^2 - 19/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB