Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 2934911943] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3165 geometric_solution 6.31673007 oriented_manifold CS_known 0.0000000000000001 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 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 0.673215805671 1.630163238300 0 5 6 5 0132 0132 0132 1302 0 0 0 0 0 -1 1 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 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 0.391954253368 0.453363730516 4 0 5 4 3012 0132 3201 1230 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368052939954 0.749054949656 5 6 6 0 3012 2031 3012 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 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 0.347295877748 1.195325283280 2 6 0 2 3012 1230 0132 1230 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368052939954 0.749054949656 2 1 1 3 2310 0132 2031 1230 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 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 0.754291429043 0.876909459797 3 3 4 1 1302 1230 3012 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 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 1.657976337952 0.779907786364 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_0011_6, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 354833443/2003568840*c_0101_5^9 + 66424858/83482035*c_0101_5^8 - 217231207/286224120*c_0101_5^7 + 29743859/71556030*c_0101_5^6 - 772637933/286224120*c_0101_5^5 - 2446948573/2003568840*c_0101_5^4 + 3629801053/1001784420*c_0101_5^3 + 2740622593/333928140*c_0101_5^2 + 1297398757/286224120*c_0101_5 - 2401264699/2003568840, c_0011_0 - 1, c_0011_3 - 10845/227162*c_0101_5^9 + 31688/113581*c_0101_5^8 - 121055/227162*c_0101_5^7 + 69760/113581*c_0101_5^6 - 284623/227162*c_0101_5^5 + 203771/227162*c_0101_5^4 + 116462/113581*c_0101_5^3 + 107193/113581*c_0101_5^2 - 176557/227162*c_0101_5 - 310949/227162, c_0011_4 + 1, c_0011_6 + 179/454324*c_0101_5^9 - 5791/227162*c_0101_5^8 + 17603/454324*c_0101_5^7 + 20580/113581*c_0101_5^6 - 121629/454324*c_0101_5^5 + 75227/454324*c_0101_5^4 - 253141/227162*c_0101_5^3 - 20181/227162*c_0101_5^2 + 276493/454324*c_0101_5 + 475941/454324, c_0101_0 - 12175/227162*c_0101_5^9 + 52349/227162*c_0101_5^8 - 25351/113581*c_0101_5^7 + 15843/113581*c_0101_5^6 - 162641/227162*c_0101_5^5 - 25619/113581*c_0101_5^4 + 96288/113581*c_0101_5^3 + 211455/113581*c_0101_5^2 - 55775/227162*c_0101_5 - 138383/113581, c_0101_3 + 2079/227162*c_0101_5^9 - 12055/227162*c_0101_5^8 - 886/113581*c_0101_5^7 + 37055/113581*c_0101_5^6 - 68727/227162*c_0101_5^5 + 81843/113581*c_0101_5^4 - 224321/113581*c_0101_5^3 - 23094/113581*c_0101_5^2 - 90763/227162*c_0101_5 + 108086/113581, c_0101_5^10 - 5*c_0101_5^9 + 7*c_0101_5^8 - 7*c_0101_5^7 + 21*c_0101_5^6 - 6*c_0101_5^5 - 13*c_0101_5^4 - 44*c_0101_5^3 - 7*c_0101_5^2 + 6*c_0101_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB