Magma V2.19-8 Tue Aug 20 2013 16:16:33 on localhost [Seed = 1225315734] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0849 geometric_solution 4.76573728 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 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 -0.286241186288 0.460757159679 0 4 0 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 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 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 0.008095390224 2.920431271135 3 5 3 0 1230 0132 2031 0132 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 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 0.776769813116 0.778696581733 5 2 0 2 2310 3012 0132 1302 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 1 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 0.776769813116 0.778696581733 4 1 4 1 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349825176188 0.147392604219 6 2 3 6 0132 0132 3201 1023 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047188267761 0.348943184116 5 6 6 5 0132 3201 2310 1023 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 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 1.161348499890 0.216529500657 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : 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' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), '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_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_2'], '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' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_2'])})} 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_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 36626/1225*c_0110_4^23 + 287677/3675*c_0110_4^22 - 2050304/3675*c_0110_4^21 - 5793824/3675*c_0110_4^20 + 5267092/1225*c_0110_4^19 + 49831652/3675*c_0110_4^18 - 63930584/3675*c_0110_4^17 - 239639839/3675*c_0110_4^16 + 19603496/525*c_0110_4^15 + 707613133/3675*c_0110_4^14 - 7061896/245*c_0110_4^13 - 1323113503/3675*c_0110_4^12 - 182807048/3675*c_0110_4^11 + 310102976/735*c_0110_4^10 + 26713289/175*c_0110_4^9 - 1072365289/3675*c_0110_4^8 - 203898599/1225*c_0110_4^7 + 368722912/3675*c_0110_4^6 + 315399424/3675*c_0110_4^5 - 27281731/3675*c_0110_4^4 - 65542934/3675*c_0110_4^3 - 8283116/3675*c_0110_4^2 + 3088241/3675*c_0110_4 + 315538/3675, c_0011_0 - 1, c_0011_2 + c_0110_4^2 - 1, c_0101_1 - c_0110_4^3 + 2*c_0110_4, c_0101_2 + c_0110_4^6 - 5*c_0110_4^4 + 6*c_0110_4^2 - 1, c_0101_5 + c_0110_4^23 + 4*c_0110_4^22 - 12*c_0110_4^21 - 64*c_0110_4^20 + 45*c_0110_4^19 + 435*c_0110_4^18 + 22*c_0110_4^17 - 1638*c_0110_4^16 - 689*c_0110_4^15 + 3728*c_0110_4^14 + 2401*c_0110_4^13 - 5223*c_0110_4^12 - 4235*c_0110_4^11 + 4342*c_0110_4^10 + 4288*c_0110_4^9 - 1886*c_0110_4^8 - 2470*c_0110_4^7 + 264*c_0110_4^6 + 736*c_0110_4^5 + 41*c_0110_4^4 - 91*c_0110_4^3 - 5*c_0110_4^2 + 3*c_0110_4 - 1, c_0101_6 + 2*c_0110_4^22 + 9*c_0110_4^21 - 20*c_0110_4^20 - 139*c_0110_4^19 + 30*c_0110_4^18 + 904*c_0110_4^17 + 419*c_0110_4^16 - 3220*c_0110_4^15 - 2641*c_0110_4^14 + 6823*c_0110_4^13 + 7267*c_0110_4^12 - 8677*c_0110_4^11 - 11226*c_0110_4^10 + 6208*c_0110_4^9 + 10142*c_0110_4^8 - 1923*c_0110_4^7 - 5188*c_0110_4^6 - 157*c_0110_4^5 + 1377*c_0110_4^4 + 190*c_0110_4^3 - 171*c_0110_4^2 - 24*c_0110_4 + 8, c_0110_4^24 + 4*c_0110_4^23 - 13*c_0110_4^22 - 68*c_0110_4^21 + 57*c_0110_4^20 + 499*c_0110_4^19 - 23*c_0110_4^18 - 2073*c_0110_4^17 - 711*c_0110_4^16 + 5366*c_0110_4^15 + 3090*c_0110_4^14 - 8951*c_0110_4^13 - 6636*c_0110_4^12 + 9565*c_0110_4^11 + 8523*c_0110_4^10 - 6228*c_0110_4^9 - 6759*c_0110_4^8 + 2149*c_0110_4^7 + 3213*c_0110_4^6 - 217*c_0110_4^5 - 843*c_0110_4^4 - 57*c_0110_4^3 + 107*c_0110_4^2 + 11*c_0110_4 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB