Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 1309659827] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0523 geometric_solution 4.53630709 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 -2 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 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 -0.416759550318 0.454958870006 2 0 4 3 3201 0132 0132 0132 0 0 0 0 0 2 -1 -1 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 -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 0.657166868926 0.977956320808 3 4 0 1 1023 1230 0132 2310 0 0 0 0 0 1 -1 0 0 0 -1 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 -1 1 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 3.094787811742 1.195133801605 4 2 1 5 0321 1023 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 -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 0.895927487261 0.410465183233 3 5 2 1 0321 3120 3012 0132 0 0 0 0 0 -1 0 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 0 0 0 0 1 -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 0.861035983986 0.849939247845 6 4 3 6 0132 3120 0132 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153555911236 0.420173188928 5 6 6 5 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547284020722 0.254685428846 ==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_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_0011_2'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_0011_4, c_0011_5, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 877041/1646*c_0101_6^15 + 21374173/1646*c_0101_6^13 - 160472277/1646*c_0101_6^11 + 186481135/823*c_0101_6^9 - 207909675/1646*c_0101_6^7 - 95359313/1646*c_0101_6^5 + 9474172/823*c_0101_6^3 + 5839171/1646*c_0101_6, c_0011_0 - 1, c_0011_2 + 25571/1646*c_0101_6^15 - 620495/1646*c_0101_6^13 + 4614141/1646*c_0101_6^11 - 5202678/823*c_0101_6^9 + 5089843/1646*c_0101_6^7 + 3049707/1646*c_0101_6^5 - 62870/823*c_0101_6^3 - 93715/1646*c_0101_6, c_0011_4 - 129990/823*c_0101_6^14 + 3151927/823*c_0101_6^12 - 23398237/823*c_0101_6^10 + 52456673/823*c_0101_6^8 - 24810953/823*c_0101_6^6 - 16218431/823*c_0101_6^4 + 505997/823*c_0101_6^2 + 524843/823, c_0011_5 - 193555/1646*c_0101_6^14 + 4692965/1646*c_0101_6^12 - 34833751/1646*c_0101_6^10 + 39030097/823*c_0101_6^8 - 36824183/1646*c_0101_6^6 - 24235075/1646*c_0101_6^4 + 371126/823*c_0101_6^2 + 786341/1646, c_0101_2 + 110847/1646*c_0101_6^15 - 2690965/1646*c_0101_6^13 + 20031049/1646*c_0101_6^11 - 22664183/823*c_0101_6^9 + 22599341/1646*c_0101_6^7 + 12859173/1646*c_0101_6^5 - 293826/823*c_0101_6^3 - 399035/1646*c_0101_6, c_0101_3 + 41057/1646*c_0101_6^14 - 997225/1646*c_0101_6^12 + 7431881/1646*c_0101_6^10 - 8442491/823*c_0101_6^8 + 8605977/1646*c_0101_6^6 + 4596631/1646*c_0101_6^4 - 119216/823*c_0101_6^2 - 138393/1646, c_0101_6^16 - 24*c_0101_6^14 + 174*c_0101_6^12 - 359*c_0101_6^10 + 91*c_0101_6^8 + 172*c_0101_6^6 + 27*c_0101_6^4 - 5*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB