Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 1124261724] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s666 geometric_solution 5.15866571 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 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 0.220466669623 0.798169547340 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 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 0.849652806101 1.216802253118 1 3 0 4 1230 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849652806101 1.216802253118 1 3 3 2 0132 3201 2310 3201 0 0 0 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541212834389 0.546031289226 2 5 5 1 3201 0132 1023 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 0.326935845766 0.325586515287 5 4 4 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.736465721741 1.038296085936 ==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' : 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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1225166227/11657991*c_0101_5^11 + 973436437/3885997*c_0101_5^10 - 1111345099/11657991*c_0101_5^9 - 16743365572/11657991*c_0101_5^8 - 10726002362/11657991*c_0101_5^7 + 15258122062/11657991*c_0101_5^6 + 35933041105/11657991*c_0101_5^5 - 29727562756/11657991*c_0101_5^4 - 52530901676/11657991*c_0101_5^3 + 14139742673/11657991*c_0101_5^2 + 20666497988/11657991*c_0101_5 + 1067468141/3885997, c_0011_0 - 1, c_0011_1 + 8440995/3885997*c_0101_5^11 - 21682230/3885997*c_0101_5^10 + 11977262/3885997*c_0101_5^9 + 112228418/3885997*c_0101_5^8 + 53978704/3885997*c_0101_5^7 - 111661791/3885997*c_0101_5^6 - 225634983/3885997*c_0101_5^5 + 241983175/3885997*c_0101_5^4 + 310254812/3885997*c_0101_5^3 - 143926928/3885997*c_0101_5^2 - 107825425/3885997*c_0101_5 - 6441560/3885997, c_0011_4 - 1448629/3885997*c_0101_5^11 + 5157959/3885997*c_0101_5^10 - 5983970/3885997*c_0101_5^9 - 16492942/3885997*c_0101_5^8 + 9096350/3885997*c_0101_5^7 + 25705737/3885997*c_0101_5^6 + 19576483/3885997*c_0101_5^5 - 77649285/3885997*c_0101_5^4 - 6274306/3885997*c_0101_5^3 + 69747965/3885997*c_0101_5^2 - 8768125/3885997*c_0101_5 - 11998829/3885997, c_0101_0 - 2748970/3885997*c_0101_5^11 + 7058094/3885997*c_0101_5^10 - 3691091/3885997*c_0101_5^9 - 37344590/3885997*c_0101_5^8 - 16575423/3885997*c_0101_5^7 + 38289750/3885997*c_0101_5^6 + 71803445/3885997*c_0101_5^5 - 82748314/3885997*c_0101_5^4 - 104580447/3885997*c_0101_5^3 + 57375749/3885997*c_0101_5^2 + 34578763/3885997*c_0101_5 - 2699982/3885997, c_0101_1 + 16291533/3885997*c_0101_5^11 - 39050749/3885997*c_0101_5^10 + 15401518/3885997*c_0101_5^9 + 222393099/3885997*c_0101_5^8 + 139094131/3885997*c_0101_5^7 - 202354649/3885997*c_0101_5^6 - 473223962/3885997*c_0101_5^5 + 402054292/3885997*c_0101_5^4 + 688501125/3885997*c_0101_5^3 - 195121467/3885997*c_0101_5^2 - 261805548/3885997*c_0101_5 - 41626702/3885997, c_0101_5^12 - 2*c_0101_5^11 + 14*c_0101_5^9 + 14*c_0101_5^8 - 9*c_0101_5^7 - 34*c_0101_5^6 + 13*c_0101_5^5 + 52*c_0101_5^4 + 5*c_0101_5^3 - 21*c_0101_5^2 - 9*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB