Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 1309659968] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3424 geometric_solution 6.59531513 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301633456917 0.243965422321 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694182424452 1.377047146737 1 4 5 6 0132 0132 0132 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 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 0.412209539462 0.920874100888 6 5 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.412209539462 0.920874100888 3 2 6 6 2310 0132 1302 2031 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 1 -1 -1 0 1 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 0.487235497649 0.946800864335 5 3 5 2 2031 0132 1302 0132 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 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608985696373 0.789082841660 4 4 2 3 2031 1302 0132 2310 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 -1 0 1 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 0.436598677578 0.753427887759 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], '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_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t + 206566550567/13535662008320*c_0101_0*c_0101_3^17 - 3052863730409/13535662008320*c_0101_0*c_0101_3^15 - 18694815256721/13535662008320*c_0101_0*c_0101_3^13 - 141589496079931/13535662008320*c_0101_0*c_0101_3^11 - 44138820362513/1353566200832*c_0101_0*c_0101_3^9 - 91964076682907/845978875520*c_0101_0*c_0101_3^7 - 1164801656478/6609209965*c_0101_0*c_0101_3^5 - 32188721794127/105747359440*c_0101_0*c_0101_3^3 - 3938728759969/26436839860*c_0101_0*c_0101_3, c_0011_0 - 1, c_0011_1 - 700889/29425352192*c_0101_3^16 - 6639025/29425352192*c_0101_3^14 + 332196407/29425352192*c_0101_3^12 + 1860682349/29425352192*c_0101_3^10 + 4957492551/14712676096*c_0101_3^8 + 1327307693/1839084512*c_0101_3^6 + 1643125563/919542256*c_0101_3^4 + 275004799/229885564*c_0101_3^2 + 62510263/57471391, c_0011_3 - 5848639/29425352192*c_0101_0*c_0101_3^17 + 103125773/29425352192*c_0101_0*c_0101_3^15 + 256928037/29425352192*c_0101_0*c_0101_3^13 + 2797125375/29425352192*c_0101_0*c_0101_3^11 + 2402917535/14712676096*c_0101_0*c_0101_3^9 + 3575105179/3678169024*c_0101_0*c_0101_3^7 + 497116151/459771128*c_0101_0*c_0101_3^5 + 1754673765/459771128*c_0101_0*c_0101_3^3 + 59474461/57471391*c_0101_0*c_0101_3, c_0011_6 - 12945917/58850704384*c_0101_0*c_0101_3^17 + 203968295/58850704384*c_0101_0*c_0101_3^15 + 1005777007/58850704384*c_0101_0*c_0101_3^13 + 7414351485/58850704384*c_0101_0*c_0101_3^11 + 8570624269/29425352192*c_0101_0*c_0101_3^9 + 6492457681/7356338048*c_0101_0*c_0101_3^7 + 817697075/1839084512*c_0101_0*c_0101_3^5 + 322831551/459771128*c_0101_0*c_0101_3^3 - 138194070/57471391*c_0101_0*c_0101_3, c_0101_0^2 - 700889/29425352192*c_0101_3^16 - 6639025/29425352192*c_0101_3^14 + 332196407/29425352192*c_0101_3^12 + 1860682349/29425352192*c_0101_3^10 + 4957492551/14712676096*c_0101_3^8 + 1327307693/1839084512*c_0101_3^6 + 1643125563/919542256*c_0101_3^4 + 275004799/229885564*c_0101_3^2 + 5038872/57471391, c_0101_1 + 2917239/14712676096*c_0101_3^16 - 36072667/14712676096*c_0101_3^14 - 397204531/14712676096*c_0101_3^12 - 2212686797/14712676096*c_0101_3^10 - 252473897/459771128*c_0101_3^8 - 4869850613/3678169024*c_0101_3^6 - 1107661869/459771128*c_0101_3^4 - 492015791/229885564*c_0101_3^2 - 51131952/57471391, c_0101_3^18 - 15*c_0101_3^16 - 87*c_0101_3^14 - 669*c_0101_3^12 - 2006*c_0101_3^10 - 6816*c_0101_3^8 - 10464*c_0101_3^6 - 19072*c_0101_3^4 - 7680*c_0101_3^2 - 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB