Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 3347471122] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1233 geometric_solution 5.13049561 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.415997147026 0.249699390241 0 2 2 0 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 -1 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 1.066293291233 0.249096766376 3 1 1 4 0132 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 1 0 -1 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 0.825998025604 0.313506379440 2 4 6 5 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982276375500 0.617283027970 6 5 2 3 0132 1023 0132 0321 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 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 0.982276375500 0.617283027970 4 5 3 5 1023 1302 0132 2031 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 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 0.718325685368 0.435688278682 4 6 6 3 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534011088631 0.544095627006 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 28101429019/19555243*c_0110_5^10 - 192364945172/19555243*c_0110_5^9 + 226452147483/19555243*c_0110_5^8 + 2044492525165/19555243*c_0110_5^7 - 372235949719/19555243*c_0110_5^6 - 6209009437242/19555243*c_0110_5^5 - 501921626522/19555243*c_0110_5^4 + 6287614646198/19555243*c_0110_5^3 + 1445753047329/19555243*c_0110_5^2 - 1375180977996/19555243*c_0110_5 - 180906806536/19555243, c_0011_0 - 1, c_0011_1 - 8837071/19555243*c_0110_5^10 - 63055027/19555243*c_0110_5^9 + 54982373/19555243*c_0110_5^8 + 671018582/19555243*c_0110_5^7 + 49402077/19555243*c_0110_5^6 - 2064454472/19555243*c_0110_5^5 - 612020579/19555243*c_0110_5^4 + 2151941966/19555243*c_0110_5^3 + 814520850/19555243*c_0110_5^2 - 492322909/19555243*c_0110_5 - 88054109/19555243, c_0011_4 - 15833677/19555243*c_0110_5^10 - 106283797/19555243*c_0110_5^9 + 141739708/19555243*c_0110_5^8 + 1135130329/19555243*c_0110_5^7 - 346477259/19555243*c_0110_5^6 - 3454636144/19555243*c_0110_5^5 + 50044710/19555243*c_0110_5^4 + 3455617356/19555243*c_0110_5^3 + 617975412/19555243*c_0110_5^2 - 706758609/19555243*c_0110_5 - 108464420/19555243, c_0101_0 - 10787114/19555243*c_0110_5^10 - 73232834/19555243*c_0110_5^9 + 90765666/19555243*c_0110_5^8 + 777728997/19555243*c_0110_5^7 - 183241349/19555243*c_0110_5^6 - 2348051184/19555243*c_0110_5^5 - 76229242/19555243*c_0110_5^4 + 2320782244/19555243*c_0110_5^3 + 451869550/19555243*c_0110_5^2 - 451226905/19555243*c_0110_5 - 52380400/19555243, c_0101_2 - 1587163/19555243*c_0110_5^10 - 13077955/19555243*c_0110_5^9 - 156249/19555243*c_0110_5^8 + 147187352/19555243*c_0110_5^7 + 115643075/19555243*c_0110_5^6 - 518706031/19555243*c_0110_5^5 - 409294570/19555243*c_0110_5^4 + 676652159/19555243*c_0110_5^3 + 361860393/19555243*c_0110_5^2 - 215257085/19555243*c_0110_5 - 17365167/19555243, c_0101_3 - 20768719/19555243*c_0110_5^10 - 142700838/19555243*c_0110_5^9 + 163365553/19555243*c_0110_5^8 + 1512262350/19555243*c_0110_5^7 - 238451777/19555243*c_0110_5^6 - 4573582422/19555243*c_0110_5^5 - 450786243/19555243*c_0110_5^4 + 4626335968/19555243*c_0110_5^3 + 1111064934/19555243*c_0110_5^2 - 1034132186/19555243*c_0110_5 - 143588946/19555243, c_0110_5^11 + 7*c_0110_5^10 - 7*c_0110_5^9 - 74*c_0110_5^8 + 2*c_0110_5^7 + 223*c_0110_5^6 + 52*c_0110_5^5 - 221*c_0110_5^4 - 86*c_0110_5^3 + 41*c_0110_5^2 + 14*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB