Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 4071845824] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2735 geometric_solution 5.97936209 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.289670942086 1.391595376799 0 2 1 1 0132 1230 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 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 0 1 -1 0 0 1 -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 0.319912517169 0.389000385590 4 0 1 3 1230 0132 3012 1230 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290986680012 0.570067793374 2 5 6 0 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475531016621 1.597420264144 5 2 0 6 0132 3012 0132 0132 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 -2 1 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 -0.458169679915 0.439463377963 4 3 6 6 0132 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203886533593 0.632844144077 5 5 4 3 2031 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.203886533593 0.632844144077 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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_3'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_6, c_0101_0, c_0101_1, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1401153595061632/107189968871025*c_1100_0^11 - 468148492460168/7145997924735*c_1100_0^10 + 22608461016235087/107189968871025*c_1100_0^9 - 16058572935332134/35729989623675*c_1100_0^8 + 1090455150191189/1553477809725*c_1100_0^7 - 98278812102901922/107189968871025*c_1100_0^6 + 20287683599422358/21437993774205*c_1100_0^5 - 86074362218921804/107189968871025*c_1100_0^4 + 63409848501118592/107189968871025*c_1100_0^3 - 34528223242247369/107189968871025*c_1100_0^2 + 5222924715834251/35729989623675*c_1100_0 - 5483102204433934/107189968871025, c_0011_0 - 1, c_0011_3 - c_1100_0, c_0011_6 + 1280807208/2301448607*c_1100_0^11 - 4588753215/2301448607*c_1100_0^10 + 11604162189/2301448607*c_1100_0^9 - 14269825824/2301448607*c_1100_0^8 + 7139827471/2301448607*c_1100_0^7 + 3363863303/2301448607*c_1100_0^6 - 15563493821/2301448607*c_1100_0^5 + 16537364638/2301448607*c_1100_0^4 - 10077076766/2301448607*c_1100_0^3 + 2902494440/2301448607*c_1100_0^2 + 1481130966/2301448607*c_1100_0 - 2219805243/2301448607, c_0101_0 - 2143565912/2301448607*c_1100_0^11 + 7771305609/2301448607*c_1100_0^10 - 16238142248/2301448607*c_1100_0^9 + 15815251275/2301448607*c_1100_0^8 + 8735859845/2301448607*c_1100_0^7 - 24471071659/2301448607*c_1100_0^6 + 39667280527/2301448607*c_1100_0^5 - 50551945100/2301448607*c_1100_0^4 + 17896755214/2301448607*c_1100_0^3 - 10608331632/2301448607*c_1100_0^2 + 2031664766/2301448607*c_1100_0 + 9002009403/2301448607, c_0101_1 - 3429662872/2301448607*c_1100_0^11 + 13654054553/2301448607*c_1100_0^10 - 39286775957/2301448607*c_1100_0^9 + 66878642197/2301448607*c_1100_0^8 - 82841475088/2301448607*c_1100_0^7 + 90664379759/2301448607*c_1100_0^6 - 67644143248/2301448607*c_1100_0^5 + 46325719502/2301448607*c_1100_0^4 - 19025722085/2301448607*c_1100_0^3 - 710362496/2301448607*c_1100_0^2 + 2142008523/2301448607*c_1100_0 - 7567169646/2301448607, c_0101_3 + 4404406088/2301448607*c_1100_0^11 - 17242173387/2301448607*c_1100_0^10 + 49221630721/2301448607*c_1100_0^9 - 83381792614/2301448607*c_1100_0^8 + 101611458779/2301448607*c_1100_0^7 - 110023588358/2301448607*c_1100_0^6 + 71345881685/2301448607*c_1100_0^5 - 37569266885/2301448607*c_1100_0^4 + 12722975241/2301448607*c_1100_0^3 + 9670847898/2301448607*c_1100_0^2 - 3813772123/2301448607*c_1100_0 + 3628506669/2301448607, c_1100_0^12 - 35/8*c_1100_0^11 + 103/8*c_1100_0^10 - 193/8*c_1100_0^9 + 259/8*c_1100_0^8 - 77/2*c_1100_0^7 + 265/8*c_1100_0^6 - 22*c_1100_0^5 + 27/2*c_1100_0^4 - 2*c_1100_0^3 - c_1100_0^2 + 9/8*c_1100_0 - 15/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB