Magma V2.19-8 Wed Aug 21 2013 01:04:35 on localhost [Seed = 1578649126] Type ? for help. Type -D to quit. Loading file "L14n24408__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24408 geometric_solution 12.23700233 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -1 -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 -1 0 -1 2 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293251883900 0.826932619923 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 1 -1 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 -2 1 1 0 0 -1 0 1 0 -1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700895080032 0.832225276375 8 0 7 9 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395630301599 0.656116076587 5 8 9 0 3120 0321 0132 0132 1 0 1 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 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 0.292236317930 0.663140005921 10 11 0 7 0132 0132 0132 3012 1 0 0 1 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 1 0 0 0 -2 2 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951843395175 1.357345614052 11 1 10 3 2310 0132 3120 3120 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 1 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 0.700895080032 0.832225276375 11 9 1 12 0321 2103 0132 0132 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 0 0 0 0 0 0 -1 1 0 0 1 -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 0.752392523956 0.704955051285 10 2 4 1 3120 1230 1230 0132 0 0 1 1 0 0 1 -1 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 -2 2 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810680133526 0.638963666034 2 11 12 3 0132 2310 3012 0321 1 0 1 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 -4 5 -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 0.708516188399 1.244628794034 12 6 2 3 3012 2103 0132 0132 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.443525523747 1.262746841634 4 12 5 7 0132 2031 3120 3120 1 0 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 0 -5 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239138666390 0.599697373799 6 4 5 8 0321 0132 3201 3201 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 1 -1 0 1 0 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293251883900 0.826932619923 10 8 6 9 1302 1230 0132 1230 0 0 1 1 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 -1 1 -1 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119213501174 0.670016524790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], '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' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2325270/41*c_1001_7^11 + 439498/41*c_1001_7^10 + 10951939/82*c_1001_7^9 + 14312967/164*c_1001_7^8 + 43285203/328*c_1001_7^7 + 50593321/656*c_1001_7^6 + 1017744/41*c_1001_7^5 + 25742999/656*c_1001_7^4 + 610585/328*c_1001_7^3 + 5269695/656*c_1001_7^2 - 261853/164*c_1001_7 + 1199105/656, c_0011_0 - 1, c_0011_10 + c_1001_7, c_0011_12 + 3400/67*c_1001_7^11 + 1848/67*c_1001_7^10 + 10594/67*c_1001_7^9 + 8829/67*c_1001_7^8 + 31329/134*c_1001_7^7 + 46259/268*c_1001_7^6 + 9796/67*c_1001_7^5 + 25829/268*c_1001_7^4 + 5759/134*c_1001_7^3 + 6993/268*c_1001_7^2 + 400/67*c_1001_7 + 735/268, c_0011_3 + 16*c_1001_7^11 - 16*c_1001_7^10 + 52*c_1001_7^9 - 38*c_1001_7^8 + 61*c_1001_7^7 - 113/2*c_1001_7^6 + 33*c_1001_7^5 - 40*c_1001_7^4 + 9*c_1001_7^3 - 15*c_1001_7^2 + c_1001_7 - 5/2, c_0011_6 - 5544/67*c_1001_7^11 - 1848/67*c_1001_7^10 - 17562/67*c_1001_7^9 - 10705/67*c_1001_7^8 - 51429/134*c_1001_7^7 - 56175/268*c_1001_7^6 - 16697/67*c_1001_7^5 - 31993/268*c_1001_7^4 - 11253/134*c_1001_7^3 - 8869/268*c_1001_7^2 - 869/67*c_1001_7 - 1003/268, c_0011_9 + 16*c_1001_7^11 - 16*c_1001_7^10 + 52*c_1001_7^9 - 38*c_1001_7^8 + 61*c_1001_7^7 - 113/2*c_1001_7^6 + 33*c_1001_7^5 - 40*c_1001_7^4 + 9*c_1001_7^3 - 15*c_1001_7^2 + c_1001_7 - 5/2, c_0101_0 - 1, c_0101_1 + 16*c_1001_7^11 + 24*c_1001_7^10 + 52*c_1001_7^9 + 68*c_1001_7^8 + 96*c_1001_7^7 + 61*c_1001_7^6 + 233/4*c_1001_7^5 + 9/4*c_1001_7^4 + 17*c_1001_7^3 - 15/2*c_1001_7^2 + 7/4*c_1001_7 - 11/4, c_0101_10 - 32*c_1001_7^11 + 16*c_1001_7^10 - 96*c_1001_7^9 + 16*c_1001_7^8 - 110*c_1001_7^7 + 19*c_1001_7^6 - 54*c_1001_7^5 + 1/4*c_1001_7^4 - 13*c_1001_7^3 - 9/2*c_1001_7^2 - c_1001_7 - 7/4, c_0101_5 + 16*c_1001_7^11 + 24*c_1001_7^10 + 52*c_1001_7^9 + 68*c_1001_7^8 + 96*c_1001_7^7 + 61*c_1001_7^6 + 233/4*c_1001_7^5 + 9/4*c_1001_7^4 + 17*c_1001_7^3 - 15/2*c_1001_7^2 + 7/4*c_1001_7 - 11/4, c_0101_8 + 2*c_1001_7^2 + 1, c_1001_12 - 80*c_1001_7^11 - 16*c_1001_7^10 - 244*c_1001_7^9 - 122*c_1001_7^8 - 337*c_1001_7^7 - 307/2*c_1001_7^6 - 201*c_1001_7^5 - 181/2*c_1001_7^4 - 125/2*c_1001_7^3 - 53/2*c_1001_7^2 - 15/2*c_1001_7 - 7/2, c_1001_7^12 + 13/4*c_1001_7^10 + 7/8*c_1001_7^9 + 75/16*c_1001_7^8 + 37/32*c_1001_7^7 + 103/32*c_1001_7^6 + 23/32*c_1001_7^5 + 41/32*c_1001_7^4 + 7/32*c_1001_7^3 + 9/32*c_1001_7^2 + 1/32*c_1001_7 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.510 seconds, Total memory usage: 32.09MB