Magma V2.19-8 Tue Aug 20 2013 23:41:15 on localhost [Seed = 3920596324] Type ? for help. Type -D to quit. Loading file "L12n1081__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1081 geometric_solution 10.03484886 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 -1 1 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 0 -1 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223660976256 0.681102449340 0 5 7 6 0132 0132 0132 0132 1 0 0 1 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 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584302773780 0.927419786133 3 0 5 8 0213 0132 0321 0132 1 0 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 0 0 0 0 -1 0 1 0 0 1 -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 0.564798224401 1.325295991632 2 4 5 0 0213 2310 1302 0132 1 0 0 1 0 0 0 0 -1 0 0 1 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 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101404314001 1.244628289912 8 5 0 3 1302 1302 0132 3201 1 0 1 1 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 1 -1 0 0 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423637522674 0.724552043332 3 1 2 4 2031 0132 0321 2031 1 1 1 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 1 3 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398621787346 1.028543954377 9 8 1 10 0132 0321 0132 0132 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 -1 0 1 0 0 -1 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 0.647829279072 0.329982827150 9 10 10 1 2103 0132 2103 0132 1 0 1 1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658358018218 0.699194147320 9 4 2 6 3201 2031 0132 0321 1 0 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 0 0 0 0 0 -1 1 -1 0 1 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402451873591 0.897869427537 6 10 7 8 0132 2310 2103 2310 1 0 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 0 0 0 0 0 -3 3 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 0.622445912664 0.532596274415 7 7 6 9 2103 0132 0132 3201 1 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 -1 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 1.865845783992 0.978537129257 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_8'], 'c_1100_8' : d['c_1001_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1001_5'], 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_4'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_10'], '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_0110_10' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0110_4, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 203229889/108904*c_1001_5^10 + 115177952/13613*c_1001_5^9 + 5406009941/326712*c_1001_5^8 + 120971035/81678*c_1001_5^7 - 6854023975/163356*c_1001_5^6 - 2511817989/27226*c_1001_5^5 + 433884877/163356*c_1001_5^4 + 3505214231/40839*c_1001_5^3 + 5177863255/81678*c_1001_5^2 - 40049765/81678*c_1001_5 - 1241603221/81678, c_0011_0 - 1, c_0011_10 + 1155/54452*c_1001_5^10 + 3269/27226*c_1001_5^9 + 15869/54452*c_1001_5^8 + 2992/13613*c_1001_5^7 - 10567/27226*c_1001_5^6 - 19124/13613*c_1001_5^5 - 14077/13613*c_1001_5^4 + 6747/13613*c_1001_5^3 + 4044/13613*c_1001_5^2 - 6074/13613*c_1001_5 - 5745/13613, c_0011_3 + 562/13613*c_1001_5^10 + 5785/27226*c_1001_5^9 + 6649/13613*c_1001_5^8 + 7887/27226*c_1001_5^7 - 24963/27226*c_1001_5^6 - 39119/13613*c_1001_5^5 - 49269/27226*c_1001_5^4 + 21830/13613*c_1001_5^3 + 45068/13613*c_1001_5^2 + 33484/13613*c_1001_5 - 2342/13613, c_0011_4 + 2587/54452*c_1001_5^10 + 7487/27226*c_1001_5^9 + 40659/54452*c_1001_5^8 + 12795/13613*c_1001_5^7 + 2268/13613*c_1001_5^6 - 47635/27226*c_1001_5^5 - 47137/27226*c_1001_5^4 + 403/13613*c_1001_5^3 + 3153/13613*c_1001_5^2 - 11825/13613*c_1001_5 - 8448/13613, c_0011_6 + 2587/54452*c_1001_5^10 + 7487/27226*c_1001_5^9 + 40659/54452*c_1001_5^8 + 12795/13613*c_1001_5^7 + 2268/13613*c_1001_5^6 - 47635/27226*c_1001_5^5 - 47137/27226*c_1001_5^4 + 403/13613*c_1001_5^3 - 10460/13613*c_1001_5^2 - 11825/13613*c_1001_5 - 8448/13613, c_0011_8 - c_1001_5, c_0101_0 - 1, c_0101_10 - 335/54452*c_1001_5^10 + 3177/27226*c_1001_5^9 + 41599/54452*c_1001_5^8 + 59847/27226*c_1001_5^7 + 76139/27226*c_1001_5^6 + 9031/27226*c_1001_5^5 - 89558/13613*c_1001_5^4 - 95480/13613*c_1001_5^3 - 22388/13613*c_1001_5^2 + 28752/13613*c_1001_5 + 12981/13613, c_0110_4 + 1, c_0110_5 - 562/13613*c_1001_5^10 - 5785/27226*c_1001_5^9 - 6649/13613*c_1001_5^8 - 7887/27226*c_1001_5^7 + 24963/27226*c_1001_5^6 + 39119/13613*c_1001_5^5 + 49269/27226*c_1001_5^4 - 21830/13613*c_1001_5^3 - 45068/13613*c_1001_5^2 - 19871/13613*c_1001_5 + 2342/13613, c_1001_5^11 + 5*c_1001_5^10 + 11*c_1001_5^9 + 5*c_1001_5^8 - 22*c_1001_5^7 - 60*c_1001_5^6 - 22*c_1001_5^5 + 46*c_1001_5^4 + 56*c_1001_5^3 + 16*c_1001_5^2 - 8*c_1001_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB