Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 3364443151] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0251 geometric_solution 4.28478338 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 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 1 -1 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 0.684806443943 0.027973307921 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 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 0.793934184392 0.054528332183 3 1 3 1 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 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 0.808627559654 0.121587359125 2 4 2 5 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 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 0.859884049913 0.332342972975 5 3 6 5 3120 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 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 0.746864747027 0.781681959923 4 6 3 4 3012 1023 0132 3120 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 -1 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 0.746864747027 0.781681959923 5 6 6 4 1023 3201 2310 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374957339078 1.157868705589 ==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' : negation(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' : negation(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' : negation(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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], '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_5, c_0101_0, c_0101_1, 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 + 1133283/1088*c_0101_6^15 + 380911/32*c_0101_6^14 + 67862807/1088*c_0101_6^13 + 26990597/136*c_0101_6^12 + 460154247/1088*c_0101_6^11 + 673335051/1088*c_0101_6^10 + 644517983/1088*c_0101_6^9 + 303660891/1088*c_0101_6^8 - 123509433/1088*c_0101_6^7 - 153562671/544*c_0101_6^6 - 11184569/68*c_0101_6^5 + 19865529/1088*c_0101_6^4 + 35248043/544*c_0101_6^3 + 15734883/1088*c_0101_6^2 - 8767297/544*c_0101_6 + 2465325/1088, c_0011_0 - 1, c_0011_5 + 83/2*c_0101_6^15 + 470*c_0101_6^14 + 4871/2*c_0101_6^13 + 7641*c_0101_6^12 + 31959/2*c_0101_6^11 + 45463/2*c_0101_6^10 + 41273/2*c_0101_6^9 + 16059/2*c_0101_6^8 - 12709/2*c_0101_6^7 - 11181*c_0101_6^6 - 5367*c_0101_6^5 + 3355/2*c_0101_6^4 + 2721*c_0101_6^3 + 677/2*c_0101_6^2 - 757*c_0101_6 + 261/2, c_0101_0 + 79/4*c_0101_6^15 + 443/2*c_0101_6^14 + 4535/4*c_0101_6^13 + 3501*c_0101_6^12 + 28655/4*c_0101_6^11 + 39403/4*c_0101_6^10 + 33391/4*c_0101_6^9 + 9247/4*c_0101_6^8 - 15541/4*c_0101_6^7 - 10487/2*c_0101_6^6 - 1950*c_0101_6^5 + 5033/4*c_0101_6^4 + 2699/2*c_0101_6^3 + 159/4*c_0101_6^2 - 829/2*c_0101_6 + 333/4, c_0101_1 + 189/4*c_0101_6^15 + 1065/2*c_0101_6^14 + 10969/4*c_0101_6^13 + 8534*c_0101_6^12 + 70589/4*c_0101_6^11 + 98653/4*c_0101_6^10 + 86389/4*c_0101_6^9 + 28469/4*c_0101_6^8 - 34067/4*c_0101_6^7 - 25663/2*c_0101_6^6 - 5464*c_0101_6^5 + 9923/4*c_0101_6^4 + 6417/2*c_0101_6^3 + 1045/4*c_0101_6^2 - 1855/2*c_0101_6 + 683/4, c_0101_2 + 55*c_0101_6^15 + 623*c_0101_6^14 + 3229*c_0101_6^13 + 10133*c_0101_6^12 + 21198*c_0101_6^11 + 30171*c_0101_6^10 + 27421*c_0101_6^9 + 10722*c_0101_6^8 - 8364*c_0101_6^7 - 14805*c_0101_6^6 - 7134*c_0101_6^5 + 2199*c_0101_6^4 + 3599*c_0101_6^3 + 453*c_0101_6^2 - 1000*c_0101_6 + 172, c_0101_3 + c_0101_6^15 + 11*c_0101_6^14 + 55*c_0101_6^13 + 165*c_0101_6^12 + 325*c_0101_6^11 + 422*c_0101_6^10 + 318*c_0101_6^9 + 30*c_0101_6^8 - 218*c_0101_6^7 - 221*c_0101_6^6 - 42*c_0101_6^5 + 83*c_0101_6^4 + 52*c_0101_6^3 - 16*c_0101_6^2 - 24*c_0101_6 + 8, c_0101_6^16 + 11*c_0101_6^15 + 55*c_0101_6^14 + 165*c_0101_6^13 + 325*c_0101_6^12 + 422*c_0101_6^11 + 318*c_0101_6^10 + 30*c_0101_6^9 - 218*c_0101_6^8 - 221*c_0101_6^7 - 42*c_0101_6^6 + 83*c_0101_6^5 + 53*c_0101_6^4 - 13*c_0101_6^3 - 21*c_0101_6^2 + 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB