Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 694727951] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s146 geometric_solution 4.20848541 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763753723135 1.495303335648 0 2 0 3 0132 2310 0321 3201 0 0 0 0 0 1 -1 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 -1 0 1 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 0.763753723135 1.495303335648 4 0 4 1 0132 0132 1023 3201 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 0 0 -0.205561962923 0.965705815895 5 1 0 5 0132 2310 0132 1023 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719091526986 0.298206483834 2 4 2 4 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444308565588 0.084205589599 3 5 5 3 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.412115627599 0.597009495127 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : 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_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0101_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 11000216783/686783601*c_0101_5^11 + 46336665971/686783601*c_0101_5^10 - 25199033780/228927867*c_0101_5^9 + 26951966464/228927867*c_0101_5^8 + 491158573328/686783601*c_0101_5^7 - 1284084724645/686783601*c_0101_5^6 - 23129702875/686783601*c_0101_5^5 + 1042265964725/686783601*c_0101_5^4 - 8697169954/98111943*c_0101_5^3 - 35179485613/686783601*c_0101_5^2 + 43596717820/98111943*c_0101_5 + 120614599261/686783601, c_0011_0 - 1, c_0011_3 - 99510213/76309289*c_0101_5^11 + 445041510/76309289*c_0101_5^10 - 812233400/76309289*c_0101_5^9 + 992376337/76309289*c_0101_5^8 + 4099426805/76309289*c_0101_5^7 - 12575082360/76309289*c_0101_5^6 + 3605713010/76309289*c_0101_5^5 + 7225822985/76309289*c_0101_5^4 - 316537252/10901327*c_0101_5^3 + 824872213/76309289*c_0101_5^2 + 313177024/10901327*c_0101_5 + 558527705/76309289, c_0101_0 - 103701352/76309289*c_0101_5^11 + 475767602/76309289*c_0101_5^10 - 900969730/76309289*c_0101_5^9 + 1143428458/76309289*c_0101_5^8 + 4118091123/76309289*c_0101_5^7 - 13543796802/76309289*c_0101_5^6 + 5250820577/76309289*c_0101_5^5 + 6665852254/76309289*c_0101_5^4 - 356939984/10901327*c_0101_5^3 + 1097817590/76309289*c_0101_5^2 + 294957520/10901327*c_0101_5 + 466744373/76309289, c_0101_2 - 8665309/76309289*c_0101_5^11 + 42311314/76309289*c_0101_5^10 - 90775854/76309289*c_0101_5^9 + 136504612/76309289*c_0101_5^8 + 273937302/76309289*c_0101_5^7 - 1170654715/76309289*c_0101_5^6 + 890563803/76309289*c_0101_5^5 - 98522854/76309289*c_0101_5^4 + 15040281/10901327*c_0101_5^3 + 165473031/76309289*c_0101_5^2 + 4368277/10901327*c_0101_5 + 3404827/76309289, c_0101_4 + 69627503/76309289*c_0101_5^11 - 321072932/76309289*c_0101_5^10 + 611996200/76309289*c_0101_5^9 - 788675681/76309289*c_0101_5^8 - 2721689440/76309289*c_0101_5^7 + 9117710444/76309289*c_0101_5^6 - 3661534581/76309289*c_0101_5^5 - 4059278666/76309289*c_0101_5^4 + 171419761/10901327*c_0101_5^3 - 797005543/76309289*c_0101_5^2 - 189536650/10901327*c_0101_5 - 390818172/76309289, c_0101_5^12 - 4*c_0101_5^11 + 6*c_0101_5^10 - 6*c_0101_5^9 - 46*c_0101_5^8 + 107*c_0101_5^7 + 26*c_0101_5^6 - 91*c_0101_5^5 - 16*c_0101_5^4 + 2*c_0101_5^3 - 26*c_0101_5^2 - 17*c_0101_5 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB