Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 1882320039] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1556 geometric_solution 5.34326683 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 0 -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 0.242882820253 0.980335991472 0 1 2 1 0132 2310 3201 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 -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 0 0 -0.238108571819 0.961065927138 1 0 3 4 2310 0132 3201 1023 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 -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 0 0 0.242882820253 0.980335991472 2 5 5 0 2310 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511580040257 0.176934488008 6 6 0 2 0132 3201 0132 1023 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 -1 1 0 0 0 1 -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 0.914993985679 1.904107809417 5 3 3 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 1.326939527509 0.923459549130 4 6 4 6 0132 1302 2310 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.681393022805 0.619627209974 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_3']), '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_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 35243*c_0101_3*c_0101_5^12 + 55091*c_0101_3*c_0101_5^11 - 11218*c_0101_3*c_0101_5^10 + 559037*c_0101_3*c_0101_5^9 - 1447458*c_0101_3*c_0101_5^8 + 1623904*c_0101_3*c_0101_5^7 - 1124710*c_0101_3*c_0101_5^6 - 1793945*c_0101_3*c_0101_5^5 + 5700276*c_0101_3*c_0101_5^4 - 5935386*c_0101_3*c_0101_5^3 + 3051877*c_0101_3*c_0101_5^2 - 786203*c_0101_3*c_0101_5 + 81235*c_0101_3, c_0011_0 - 1, c_0011_3 - c_0101_3*c_0101_5^12 + 2*c_0101_3*c_0101_5^11 - c_0101_3*c_0101_5^10 + 16*c_0101_3*c_0101_5^9 - 48*c_0101_3*c_0101_5^8 + 64*c_0101_3*c_0101_5^7 - 52*c_0101_3*c_0101_5^6 - 37*c_0101_3*c_0101_5^5 + 184*c_0101_3*c_0101_5^4 - 239*c_0101_3*c_0101_5^3 + 160*c_0101_3*c_0101_5^2 - 60*c_0101_3*c_0101_5 + 11*c_0101_3, c_0011_4 + 512*c_0101_3*c_0101_5^12 - 865*c_0101_3*c_0101_5^11 + 241*c_0101_3*c_0101_5^10 - 8112*c_0101_3*c_0101_5^9 + 22056*c_0101_3*c_0101_5^8 - 25882*c_0101_3*c_0101_5^7 + 18465*c_0101_3*c_0101_5^6 + 24812*c_0101_3*c_0101_5^5 - 86585*c_0101_3*c_0101_5^4 + 95359*c_0101_3*c_0101_5^3 - 51824*c_0101_3*c_0101_5^2 + 14128*c_0101_3*c_0101_5 - 1547*c_0101_3, c_0101_0 + c_0101_5^12 - c_0101_5^11 - 16*c_0101_5^9 + 32*c_0101_5^8 - 32*c_0101_5^7 + 20*c_0101_5^6 + 57*c_0101_5^5 - 127*c_0101_5^4 + 112*c_0101_5^3 - 48*c_0101_5^2 + 12*c_0101_5 - 1, c_0101_1 - 2*c_0101_5^12 + 3*c_0101_5^11 - c_0101_5^10 + 32*c_0101_5^9 - 80*c_0101_5^8 + 96*c_0101_5^7 - 72*c_0101_5^6 - 94*c_0101_5^5 + 311*c_0101_5^4 - 351*c_0101_5^3 + 208*c_0101_5^2 - 72*c_0101_5 + 12, c_0101_3^2 - 511*c_0101_5^12 + 767*c_0101_5^11 - 128*c_0101_5^10 + 8112*c_0101_5^9 - 20480*c_0101_5^8 + 22480*c_0101_5^7 - 15348*c_0101_5^6 - 26571*c_0101_5^5 + 80767*c_0101_5^4 - 81809*c_0101_5^3 + 40911*c_0101_5^2 - 10229*c_0101_5 + 1023, c_0101_5^13 - 2*c_0101_5^12 + c_0101_5^11 - 16*c_0101_5^10 + 48*c_0101_5^9 - 64*c_0101_5^8 + 52*c_0101_5^7 + 37*c_0101_5^6 - 184*c_0101_5^5 + 239*c_0101_5^4 - 160*c_0101_5^3 + 60*c_0101_5^2 - 12*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB