Magma V2.19-8 Wed Aug 21 2013 00:56:43 on localhost [Seed = 509084889] Type ? for help. Type -D to quit. Loading file "L13n282__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n282 geometric_solution 12.49616960 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 1 -2 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240803845502 0.759196154498 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335574955504 0.942013507992 8 0 9 6 0132 0132 0132 2031 0 1 1 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 0 0 0 0 0 -1 0 1 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 0.379598077249 1.196780723756 10 11 7 0 0132 0132 3120 0132 0 1 1 1 0 1 0 -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 0 0 0 0 0 0 1 0 0 -1 -6 5 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620401922751 1.196780723756 9 11 0 8 0132 0321 0132 0132 0 1 1 1 0 -1 2 -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 -1 0 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 -0.000000000000 1.000000000000 8 1 9 10 1023 0132 1023 2031 1 0 1 1 0 0 0 0 1 0 0 -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 0 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240803845502 0.759196154498 11 2 1 10 2103 1302 0132 2103 1 1 0 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 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 0.379598077249 1.196780723756 8 12 3 1 3120 0132 3120 0132 1 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 0 0 0 0 0 0 0 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 0 0 0 0 0.379598077249 1.196780723756 2 5 4 7 0132 1023 0132 3120 0 1 1 1 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 -1 1 0 0 0 0 0 -1 6 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379598077249 1.196780723756 4 12 5 2 0132 2310 1023 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -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 -0.000000000000 1.000000000000 3 5 12 6 0132 1302 2103 2103 0 1 1 1 0 1 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 1 0 -1 -1 0 1 0 -1 1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658591323253 0.658591323253 12 3 6 4 2103 0132 2103 0321 0 1 1 1 0 -1 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 0 0 0 0 1 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 10 7 11 9 2103 0132 2103 3201 1 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 -1 0 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 0.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_12']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0110_12']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_5']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_10']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1010_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : negation(d['c_0110_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_1010_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_12']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0101_7']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_4'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_3'], 'c_0101_2' : d['c_0101_1'], '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' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0110_12, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 825/8*c_1010_10^5 + 237/4*c_1010_10^4 + 3269/8*c_1010_10^3 + 6743/8*c_1010_10^2 + 2999/4*c_1010_10 + 1315/8, c_0011_0 - 1, c_0011_10 + 3/16*c_1010_10^5 - 1/16*c_1010_10^4 + 15/16*c_1010_10^3 + 13/16*c_1010_10^2 + 13/16*c_1010_10 + 9/16, c_0011_12 + 1/4*c_1010_10^5 + 1/4*c_1010_10^4 + 3/4*c_1010_10^3 + 11/4*c_1010_10^2 + 7/4*c_1010_10 + 1/4, c_0011_4 - 1/4*c_1010_10^5 + 1/4*c_1010_10^4 - 5/4*c_1010_10^3 - 1/4*c_1010_10^2 + 1/4*c_1010_10 + 3/4, c_0011_6 - 1, c_0101_0 - 3/16*c_1010_10^5 + 1/16*c_1010_10^4 - 15/16*c_1010_10^3 - 13/16*c_1010_10^2 - 13/16*c_1010_10 - 9/16, c_0101_1 - 1/16*c_1010_10^5 + 3/16*c_1010_10^4 - 5/16*c_1010_10^3 + 1/16*c_1010_10^2 + 9/16*c_1010_10 - 3/16, c_0101_3 - c_1010_10, c_0101_5 + 1/4*c_1010_10^5 - 1/4*c_1010_10^4 + 3/4*c_1010_10^3 + 3/4*c_1010_10^2 - 3/4*c_1010_10 - 3/4, c_0101_7 + 1/4*c_1010_10^5 - 1/4*c_1010_10^4 + 5/4*c_1010_10^3 + 3/4*c_1010_10^2 + 1/4*c_1010_10 - 1/4, c_0101_8 - 1/16*c_1010_10^5 + 3/16*c_1010_10^4 - 5/16*c_1010_10^3 + 1/16*c_1010_10^2 + 9/16*c_1010_10 - 3/16, c_0110_12 - 1/2*c_1010_10^5 - 2*c_1010_10^3 - 5/2*c_1010_10^2 - 2*c_1010_10, c_1010_10^6 + 4*c_1010_10^4 + 6*c_1010_10^3 + 4*c_1010_10^2 + 1 ], 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0110_12, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1136615/392834*c_1010_10^7 - 114775/15109*c_1010_10^6 - 4276360/196417*c_1010_10^5 - 23303799/785668*c_1010_10^4 + 13688007/392834*c_1010_10^3 + 64932501/785668*c_1010_10^2 - 2119292/196417*c_1010_10 + 3144285/785668, c_0011_0 - 1, c_0011_10 + 2430/6773*c_1010_10^7 + 325/521*c_1010_10^6 + 13462/6773*c_1010_10^5 + 10003/6773*c_1010_10^4 - 45443/6773*c_1010_10^3 - 39070/6773*c_1010_10^2 + 64739/6773*c_1010_10 - 16673/6773, c_0011_12 + 848/6773*c_1010_10^7 + 137/521*c_1010_10^6 + 4971/6773*c_1010_10^5 + 5754/6773*c_1010_10^4 - 15836/6773*c_1010_10^3 - 18289/6773*c_1010_10^2 + 21466/6773*c_1010_10 - 1448/6773, c_0011_4 - 3590/6773*c_1010_10^7 - 478/521*c_1010_10^6 - 17770/6773*c_1010_10^5 - 11740/6773*c_1010_10^4 + 81546/6773*c_1010_10^3 + 65302/6773*c_1010_10^2 - 115572/6773*c_1010_10 + 11114/6773, c_0011_6 - 1, c_0101_0 + 4978/6773*c_1010_10^7 + 803/521*c_1010_10^6 + 31753/6773*c_1010_10^5 + 34768/6773*c_1010_10^4 - 74368/6773*c_1010_10^3 - 89263/6773*c_1010_10^2 + 104766/6773*c_1010_10 - 14762/6773, c_0101_1 - 1349/6773*c_1010_10^7 - 323/521*c_1010_10^6 - 11526/6773*c_1010_10^5 - 19297/6773*c_1010_10^4 + 9761/6773*c_1010_10^3 + 39054/6773*c_1010_10^2 - 1609/6773*c_1010_10 - 11562/6773, c_0101_3 - 866/6773*c_1010_10^7 - 178/521*c_1010_10^6 - 6626/6773*c_1010_10^5 - 9039/6773*c_1010_10^4 + 10102/6773*c_1010_10^3 + 24348/6773*c_1010_10^2 - 3232/6773*c_1010_10 - 16540/6773, c_0101_5 - 866/6773*c_1010_10^7 - 178/521*c_1010_10^6 - 6626/6773*c_1010_10^5 - 9039/6773*c_1010_10^4 + 10102/6773*c_1010_10^3 + 24348/6773*c_1010_10^2 - 10005/6773*c_1010_10 - 2994/6773, c_0101_7 - 947/6773*c_1010_10^7 - 102/521*c_1010_10^6 - 3914/6773*c_1010_10^5 - 116/6773*c_1010_10^4 + 24937/6773*c_1010_10^3 + 14362/6773*c_1010_10^2 - 36320/6773*c_1010_10 + 4109/6773, c_0101_8 - 3860/6773*c_1010_10^7 - 572/521*c_1010_10^6 - 22276/6773*c_1010_10^5 - 20377/6773*c_1010_10^4 + 70039/6773*c_1010_10^3 + 68138/6773*c_1010_10^2 - 99436/6773*c_1010_10 + 5441/6773, c_0110_12 + 365/6773*c_1010_10^7 - 8/521*c_1010_10^6 + 71/6773*c_1010_10^5 - 4504/6773*c_1010_10^4 - 16177/6773*c_1010_10^3 - 3583/6773*c_1010_10^2 + 23089/6773*c_1010_10 - 3243/6773, c_1010_10^8 + 2*c_1010_10^7 + 6*c_1010_10^6 + 6*c_1010_10^5 - 17*c_1010_10^4 - 18*c_1010_10^3 + 24*c_1010_10^2 - 4*c_1010_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB