Magma V2.19-8 Wed Aug 21 2013 00:52:49 on localhost [Seed = 374342558] Type ? for help. Type -D to quit. Loading file "L12n1101__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1101 geometric_solution 11.82554880 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.455620886295 0.602392045607 0 5 7 6 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201318865395 1.055963800024 4 0 6 5 1023 0132 3012 3012 0 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 1 1 -2 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 0.060819020002 0.825543613038 8 9 6 0 0132 0132 0132 0132 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 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 0.698743583399 1.140940078931 7 2 0 10 0132 1023 0132 0132 0 1 0 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 -1 1 0 0 1 -1 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201318865395 1.055963800024 7 1 2 11 1023 0132 1230 0132 0 0 1 0 0 0 0 0 0 0 0 0 1 -1 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 2 -3 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060819020002 0.825543613038 12 2 1 3 0132 1230 0132 0132 0 1 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 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 0.549944090381 0.283495067228 4 5 9 1 0132 1023 3120 0132 0 1 1 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 0 0 0 0 0 0 0 -1 -2 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455620886295 0.602392045607 3 11 11 12 0132 3120 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0.389799188730 0.770874708704 10 3 7 12 3120 0132 3120 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123480372055 0.888582030127 12 11 4 9 3012 0321 0132 3120 0 1 1 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 1 -1 0 -1 0 1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801892194852 0.873439357259 8 8 5 10 2310 3120 0132 0321 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 1 0 -1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477614884544 1.033079301732 6 9 8 10 0132 1302 0132 1230 1 1 0 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 -1 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.130872363579 0.818770452926 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_2'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0110_2'], 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_10'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_9, c_0110_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 96751946819675/57475784592*c_1001_5^7 + 1650400886479427/229903138368*c_1001_5^6 + 744679305756697/76634379456*c_1001_5^5 + 8128387630745219/3678450213888*c_1001_5^4 - 816105449270989/919612553472*c_1001_5^3 + 15919943481705989/919612553472*c_1001_5^2 + 5823706951371595/229903138368*c_1001_5 + 88567726008617/25544793152, c_0011_0 - 1, c_0011_10 + 195400248/399137393*c_1001_5^7 + 693624358/399137393*c_1001_5^6 + 782401856/399137393*c_1001_5^5 + 202708127/3193099144*c_1001_5^4 - 767273979/3193099144*c_1001_5^3 + 1751530690/399137393*c_1001_5^2 + 1941515338/399137393*c_1001_5 + 196524178/399137393, c_0011_11 - 51766892/399137393*c_1001_5^7 + 69494133/399137393*c_1001_5^6 + 367487787/399137393*c_1001_5^5 + 3353247421/6386198288*c_1001_5^4 - 2639176943/3193099144*c_1001_5^3 - 1289056169/3193099144*c_1001_5^2 + 2449140725/798274786*c_1001_5 - 87534671/798274786, c_0011_12 - 165475920/399137393*c_1001_5^7 - 428051404/399137393*c_1001_5^6 - 300253226/399137393*c_1001_5^5 + 149283931/1596549572*c_1001_5^4 - 1977088939/3193099144*c_1001_5^3 - 4620531547/1596549572*c_1001_5^2 - 325109450/399137393*c_1001_5 - 191356665/399137393, c_0011_3 - 305145584/399137393*c_1001_5^7 - 916806268/399137393*c_1001_5^6 - 749584564/399137393*c_1001_5^5 + 965435865/1596549572*c_1001_5^4 - 416584347/798274786*c_1001_5^3 - 10930970653/1596549572*c_1001_5^2 - 3195602693/798274786*c_1001_5 - 87905473/399137393, c_0101_1 - 1, c_0101_10 + 195400248/399137393*c_1001_5^7 + 693624358/399137393*c_1001_5^6 + 782401856/399137393*c_1001_5^5 + 202708127/3193099144*c_1001_5^4 - 767273979/3193099144*c_1001_5^3 + 1751530690/399137393*c_1001_5^2 + 1941515338/399137393*c_1001_5 + 196524178/399137393, c_0101_11 - 165475920/399137393*c_1001_5^7 - 428051404/399137393*c_1001_5^6 - 300253226/399137393*c_1001_5^5 + 149283931/1596549572*c_1001_5^4 - 1977088939/3193099144*c_1001_5^3 - 4620531547/1596549572*c_1001_5^2 - 325109450/399137393*c_1001_5 - 191356665/399137393, c_0101_12 - 292609200/399137393*c_1001_5^7 - 846232504/399137393*c_1001_5^6 - 632645439/399137393*c_1001_5^5 + 1085851057/1596549572*c_1001_5^4 - 3118682323/6386198288*c_1001_5^3 - 4648153693/798274786*c_1001_5^2 - 4501686153/1596549572*c_1001_5 + 72193242/399137393, c_0101_5 + 244270680/399137393*c_1001_5^7 + 797248294/399137393*c_1001_5^6 + 821872998/399137393*c_1001_5^5 + 136262515/3193099144*c_1001_5^4 + 568471961/798274786*c_1001_5^3 + 4363181807/798274786*c_1001_5^2 + 1897474360/399137393*c_1001_5 + 127133280/399137393, c_0101_9 + 122135340/399137393*c_1001_5^7 + 398624147/399137393*c_1001_5^6 + 410936499/399137393*c_1001_5^5 + 136262515/6386198288*c_1001_5^4 + 568471961/1596549572*c_1001_5^3 + 4363181807/1596549572*c_1001_5^2 + 2296611753/798274786*c_1001_5 + 63566640/399137393, c_0110_2 - c_1001_5, c_1001_5^8 + 17/4*c_1001_5^7 + 23/4*c_1001_5^6 + 89/64*c_1001_5^5 - 11/32*c_1001_5^4 + 165/16*c_1001_5^3 + 119/8*c_1001_5^2 + 9/4*c_1001_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB