Magma V2.19-8 Wed Aug 21 2013 01:00:41 on localhost [Seed = 1578648909] Type ? for help. Type -D to quit. Loading file "L13n9762__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9762 geometric_solution 11.97345298 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 1 1 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 1 -1 0 0 0 -1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409277416383 0.626191827716 0 5 6 5 0132 0132 0132 1023 2 2 1 1 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641465883876 0.958566084010 7 0 7 4 0132 0132 0321 0321 0 1 1 1 0 0 0 0 0 0 -1 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 -1 1 0 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 0.973416256742 1.133921542599 8 4 9 0 0132 0321 0132 0132 0 2 1 2 0 0 0 0 0 0 0 0 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 0 -1 1 -1 0 0 1 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249360314779 0.859031819344 10 2 0 3 0132 0321 0132 0321 0 2 1 1 0 0 0 0 -1 0 0 1 -1 0 0 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 6 0 -1 -5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973416256742 1.133921542599 11 1 11 1 0132 0132 1023 1023 2 2 1 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 0.491427695955 0.346745743441 9 8 8 1 0132 1230 0132 0132 2 2 1 2 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 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 0.688344887377 1.073633784274 2 12 2 10 0132 0132 0321 0321 0 1 1 1 0 1 0 -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 1 -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 0.973416256742 1.133921542599 3 11 6 6 0132 1302 3012 0132 2 2 2 1 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 -1 1 1 0 -1 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 0.576795928234 0.660085078603 6 12 10 3 0132 0213 0132 0132 0 2 2 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 -1 1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456525021413 0.373681070305 4 7 12 9 0132 0321 0132 0132 0 2 1 1 0 1 -1 0 1 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 0 0 -1 1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973416256742 1.133921542599 5 12 5 8 0132 1023 1023 2031 2 2 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 0.641465883876 0.958566084010 11 7 9 10 1023 0132 0213 0132 0 2 1 1 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 -1 0 1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409277416383 0.626191827716 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_3'], 'c_1100_8' : negation(d['c_1001_6']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_1001_6']), 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : 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' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_3']), 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_1001_0, c_1001_10, c_1001_12, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 803/80*c_1001_6^6 - 3379/40*c_1001_6^5 - 8071/80*c_1001_6^4 - 6773/40*c_1001_6^3 - 483/8*c_1001_6^2 - 214/5*c_1001_6 + 653/10, c_0011_0 - 1, c_0011_10 - 21/80*c_1001_6^6 - 11/5*c_1001_6^5 - 197/80*c_1001_6^4 - 141/40*c_1001_6^3 - 3/4*c_1001_6^2 - 17/20*c_1001_6 + 17/20, c_0011_3 + 3/16*c_1001_6^6 + 13/8*c_1001_6^5 + 35/16*c_1001_6^4 + 3*c_1001_6^3 + 9/4*c_1001_6^2 + 3/2*c_1001_6 + 1/4, c_0011_6 + 1, c_0101_0 - 1, c_0101_1 - 3/16*c_1001_6^6 - 13/8*c_1001_6^5 - 35/16*c_1001_6^4 - 3*c_1001_6^3 - 9/4*c_1001_6^2 - 3/2*c_1001_6 - 1/4, c_0101_11 - 1/8*c_1001_6^6 - 5/4*c_1001_6^5 - 23/8*c_1001_6^4 - 7/2*c_1001_6^3 - 9/4*c_1001_6^2 - c_1001_6 + 1, c_0101_3 + 1/16*c_1001_6^6 + 5/8*c_1001_6^5 + 21/16*c_1001_6^4 + 3/4*c_1001_6^3 - 2*c_1001_6 - 3/4, c_1001_0 - 1, c_1001_10 - 5/112*c_1001_6^6 - 15/56*c_1001_6^5 + 43/112*c_1001_6^4 - 3/7*c_1001_6^3 - 5/28*c_1001_6^2 - 15/14*c_1001_6 - 3/28, c_1001_12 - 1, c_1001_3 - 1/7*c_1001_6^6 - 19/14*c_1001_6^5 - 18/7*c_1001_6^4 - 18/7*c_1001_6^3 - 29/14*c_1001_6^2 - 3/7*c_1001_6 - 1/7, c_1001_6^7 + 9*c_1001_6^6 + 15*c_1001_6^5 + 23*c_1001_6^4 + 16*c_1001_6^3 + 8*c_1001_6^2 - 4*c_1001_6 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB