Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 1191631724] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0015 geometric_solution 3.56746322 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 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 -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 -3.415769415715 1.628339859881 0 0 3 2 2310 0132 0132 0132 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 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 0.043973372841 0.054255023005 3 4 1 5 1230 0132 0132 0132 0 0 0 0 0 -1 1 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 -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 -1.774444353872 1.690790456495 6 2 5 1 0132 3012 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.774444353872 1.690790456495 5 2 6 6 1302 0132 2031 1302 0 0 0 0 0 1 -1 0 1 0 -1 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 -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 0 0 0 0.016527414128 0.518176384794 6 4 2 3 1302 2031 0132 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.921982077001 1.409707151025 3 5 4 4 0132 2031 2031 1302 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 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016527414128 0.518176384794 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), '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' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_5'], '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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 809951/29834*c_1100_1^11 - 492893/14917*c_1100_1^10 - 4041221/14917*c_1100_1^9 + 4140098/14917*c_1100_1^8 + 15076958/14917*c_1100_1^7 - 23580449/29834*c_1100_1^6 - 25704376/14917*c_1100_1^5 + 25802687/29834*c_1100_1^4 + 37082967/29834*c_1100_1^3 - 4203357/14917*c_1100_1^2 + 182303/14917*c_1100_1 - 7028165/29834, c_0011_0 - 1, c_0011_2 + 196/6393*c_1100_1^11 - 242/2131*c_1100_1^10 - 654/2131*c_1100_1^9 + 2160/2131*c_1100_1^8 + 9776/6393*c_1100_1^7 - 6646/2131*c_1100_1^6 - 27226/6393*c_1100_1^5 + 21043/6393*c_1100_1^4 + 33100/6393*c_1100_1^3 + 205/6393*c_1100_1^2 - 9610/6393*c_1100_1 - 5741/6393, c_0011_3 + 196/6393*c_1100_1^11 - 242/2131*c_1100_1^10 - 654/2131*c_1100_1^9 + 2160/2131*c_1100_1^8 + 9776/6393*c_1100_1^7 - 6646/2131*c_1100_1^6 - 27226/6393*c_1100_1^5 + 21043/6393*c_1100_1^4 + 33100/6393*c_1100_1^3 + 205/6393*c_1100_1^2 - 9610/6393*c_1100_1 - 5741/6393, c_0011_5 + 98/6393*c_1100_1^11 - 121/2131*c_1100_1^10 - 327/2131*c_1100_1^9 + 1080/2131*c_1100_1^8 + 4888/6393*c_1100_1^7 - 3323/2131*c_1100_1^6 - 13613/6393*c_1100_1^5 + 13718/6393*c_1100_1^4 + 16550/6393*c_1100_1^3 - 9487/6393*c_1100_1^2 - 4805/6393*c_1100_1 + 326/6393, c_0101_0 - 398/6393*c_1100_1^11 + 100/2131*c_1100_1^10 + 1415/2131*c_1100_1^9 - 646/2131*c_1100_1^8 - 16720/6393*c_1100_1^7 + 492/2131*c_1100_1^6 + 27365/6393*c_1100_1^5 + 8740/6393*c_1100_1^4 - 12938/6393*c_1100_1^3 - 11180/6393*c_1100_1^2 - 5275/6393*c_1100_1 + 3112/6393, c_0101_3 + 1855/6393*c_1100_1^11 - 616/2131*c_1100_1^10 - 5733/2131*c_1100_1^9 + 4917/2131*c_1100_1^8 + 57818/6393*c_1100_1^7 - 13430/2131*c_1100_1^6 - 84607/6393*c_1100_1^5 + 45040/6393*c_1100_1^4 + 48415/6393*c_1100_1^3 - 20207/6393*c_1100_1^2 + 9053/6393*c_1100_1 - 12095/6393, c_1100_1^12 - 2*c_1100_1^11 - 9*c_1100_1^10 + 18*c_1100_1^9 + 29*c_1100_1^8 - 58*c_1100_1^7 - 40*c_1100_1^6 + 81*c_1100_1^5 + 20*c_1100_1^4 - 46*c_1100_1^3 + 9*c_1100_1^2 - 9*c_1100_1 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB