Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 3549581119] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1961 geometric_solution 5.54086268 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.649930298889 0.466076810771 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 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 0.501500877763 1.480768397668 4 5 1 3 0132 0132 0132 3012 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 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807493169252 0.787807103171 5 4 2 1 3201 3201 1230 0132 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 -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 0.807493169252 0.787807103171 2 6 3 6 0132 0132 2310 1023 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 1 0 -1 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 0.843524976176 1.016262016898 5 2 5 3 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583785916042 0.385667133747 6 4 6 4 2031 0132 1302 1023 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 -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 0.496042393317 0.185061604431 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1313/184*c_0101_1*c_0110_6^8 + 521/92*c_0101_1*c_0110_6^7 + 1043/184*c_0101_1*c_0110_6^6 + 15063/184*c_0101_1*c_0110_6^5 + 12531/184*c_0101_1*c_0110_6^4 - 5277/92*c_0101_1*c_0110_6^3 + 1221/92*c_0101_1*c_0110_6^2 + 4153/92*c_0101_1*c_0110_6 - 5553/184*c_0101_1, c_0011_0 - 1, c_0011_2 + 52/23*c_0101_1*c_0110_6^8 - 25/23*c_0101_1*c_0110_6^7 + 70/23*c_0101_1*c_0110_6^6 + 523/23*c_0101_1*c_0110_6^5 - 173/23*c_0101_1*c_0110_6^4 - 198/23*c_0101_1*c_0110_6^3 + 495/23*c_0101_1*c_0110_6^2 - 221/23*c_0101_1*c_0110_6 + 62/23*c_0101_1, c_0101_0 + 55/23*c_0101_1*c_0110_6^8 - 26/23*c_0101_1*c_0110_6^7 + 82/23*c_0101_1*c_0110_6^6 + 543/23*c_0101_1*c_0110_6^5 - 156/23*c_0101_1*c_0110_6^4 - 159/23*c_0101_1*c_0110_6^3 + 478/23*c_0101_1*c_0110_6^2 - 228/23*c_0101_1*c_0110_6 + 70/23*c_0101_1, c_0101_1^2 + 139/46*c_0110_6^8 - 27/23*c_0110_6^7 + 211/46*c_0110_6^6 + 1379/46*c_0110_6^5 - 255/46*c_0110_6^4 - 189/23*c_0110_6^3 + 553/23*c_0110_6^2 - 212/23*c_0110_6 + 87/46, c_0101_3 - 60/23*c_0110_6^8 + 20/23*c_0110_6^7 - 79/23*c_0110_6^6 - 607/23*c_0110_6^5 + 97/23*c_0110_6^4 + 255/23*c_0110_6^3 - 488/23*c_0110_6^2 + 140/23*c_0110_6 - 22/23, c_0101_4 - 55/23*c_0110_6^8 + 26/23*c_0110_6^7 - 82/23*c_0110_6^6 - 543/23*c_0110_6^5 + 156/23*c_0110_6^4 + 159/23*c_0110_6^3 - 478/23*c_0110_6^2 + 228/23*c_0110_6 - 47/23, c_0110_6^9 + c_0110_6^8 + c_0110_6^7 + 12*c_0110_6^6 + 12*c_0110_6^5 - 5*c_0110_6^4 + 4*c_0110_6^3 + 8*c_0110_6^2 - 3*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB