Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 1031578105] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2173 geometric_solution 5.64111486 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 -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 1.045254272049 1.282504898757 0 4 4 0 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.636449077472 0.849631035978 5 0 3 5 0132 0132 1302 3012 0 0 0 0 0 -1 0 1 0 0 0 0 -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 1 0 -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 -0.287132716646 0.434412658275 2 5 6 0 2031 2310 0132 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466688020894 0.334035920614 5 1 1 6 1023 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.232628057666 0.653623710844 2 4 2 3 0132 1023 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -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 0.033724301297 0.906703217780 4 6 6 3 3201 3201 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033724301297 0.906703217780 ==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' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_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' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_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_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 871059882982/679960085*c_0101_6^10 + 2696043872013/135992017*c_0101_6^9 + 3812468701934/135992017*c_0101_6^8 + 2676148863328/97137155*c_0101_6^7 + 68559270611144/679960085*c_0101_6^6 + 75531160351267/679960085*c_0101_6^5 + 37840266528936/679960085*c_0101_6^4 + 1018857540082/679960085*c_0101_6^3 - 13620549696772/679960085*c_0101_6^2 - 1357820185959/135992017*c_0101_6 - 1654475982772/679960085, c_0011_0 - 1, c_0011_3 - 27005962/19427431*c_0101_6^10 - 417077475/19427431*c_0101_6^9 - 575478909/19427431*c_0101_6^8 - 527383304/19427431*c_0101_6^7 - 2061781165/19427431*c_0101_6^6 - 2237229944/19427431*c_0101_6^5 - 921552711/19427431*c_0101_6^4 + 188682250/19427431*c_0101_6^3 + 482128083/19427431*c_0101_6^2 + 211563831/19427431*c_0101_6 + 36350610/19427431, c_0011_6 + 3673078/19427431*c_0101_6^10 + 59442041/19427431*c_0101_6^9 + 119165662/19427431*c_0101_6^8 + 114525898/19427431*c_0101_6^7 + 326367117/19427431*c_0101_6^6 + 504444497/19427431*c_0101_6^5 + 281438440/19427431*c_0101_6^4 + 58011773/19427431*c_0101_6^3 - 81987672/19427431*c_0101_6^2 - 80966666/19427431*c_0101_6 - 22060288/19427431, c_0101_0 + 17927931/19427431*c_0101_6^10 + 275059740/19427431*c_0101_6^9 + 353048136/19427431*c_0101_6^8 + 299740803/19427431*c_0101_6^7 + 1351113914/19427431*c_0101_6^6 + 1365262426/19427431*c_0101_6^5 + 431351386/19427431*c_0101_6^4 - 81158911/19427431*c_0101_6^3 - 193854902/19427431*c_0101_6^2 - 44062202/19427431*c_0101_6 + 7829719/19427431, c_0101_1 - 2632857/19427431*c_0101_6^10 - 38452634/19427431*c_0101_6^9 - 19543669/19427431*c_0101_6^8 + 32281381/19427431*c_0101_6^7 - 122431232/19427431*c_0101_6^6 - 10638579/19427431*c_0101_6^5 + 270120224/19427431*c_0101_6^4 + 218249872/19427431*c_0101_6^3 + 97504628/19427431*c_0101_6^2 - 20434529/19427431*c_0101_6 - 26314662/19427431, c_0101_3 - c_0101_6 - 1, c_0101_6^11 + 16*c_0101_6^10 + 30*c_0101_6^9 + 33*c_0101_6^8 + 90*c_0101_6^7 + 128*c_0101_6^6 + 89*c_0101_6^5 + 24*c_0101_6^4 - 15*c_0101_6^3 - 16*c_0101_6^2 - 6*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB