Magma V2.19-8 Tue Aug 20 2013 23:52:46 on localhost [Seed = 4155612198] Type ? for help. Type -D to quit. Loading file "L13n3812__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3812 geometric_solution 11.43437347 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 -1 0 1 1 0 -1 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 6 1 -7 -6 0 6 0 7 -7 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951563050673 1.143820781556 0 5 4 6 0132 0132 2310 0132 0 1 0 1 0 0 0 0 -1 0 1 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 0 0 0 0 6 0 -6 0 -2 1 0 1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172043843780 0.748181093403 7 0 8 5 0132 0132 0132 2103 1 1 0 1 0 1 -1 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 -6 6 0 0 0 0 0 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.154333966170 1.064587085833 9 10 11 0 0132 0132 0132 0132 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 0 0 0 0 0 0 1 -1 0 0 6 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444254705157 0.564113862728 8 1 0 10 1230 3201 0132 0132 1 1 0 1 0 1 -1 0 -1 0 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 -7 7 0 7 0 0 -7 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424561187295 1.048007409487 7 1 9 2 1023 0132 3012 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177665752090 0.572975814941 9 10 1 11 2103 3012 0132 2310 0 1 1 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -1 7 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531088536230 0.892073902292 2 5 10 11 0132 1023 0132 0132 1 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 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 0.643457138226 1.194343903401 9 4 11 2 3012 3012 3012 0132 1 1 1 0 0 -1 0 1 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 6 0 -6 1 0 -1 0 0 -7 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379190931321 0.468136151674 3 5 6 8 0132 1230 2103 1230 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 -1 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 0.446256914111 1.274275232140 6 3 4 7 1230 0132 0132 0132 1 1 0 0 0 0 0 0 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 0 0 0 -7 0 7 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 0.304827205619 0.640928786048 6 8 7 3 3201 1230 0132 0132 1 1 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 1 0 -1 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379815415612 0.771278131494 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_11']), 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_1001_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' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], '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_0011_8'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3790933095/12033287*c_1100_0^7 + 38420451901/48133148*c_1100_0^6 - 39333494885/24066574*c_1100_0^5 - 297074938339/48133148*c_1100_0^4 - 42801090893/48133148*c_1100_0^3 - 40181671926/12033287*c_1100_0^2 - 259536924711/48133148*c_1100_0 + 32045725293/48133148, c_0011_0 - 1, c_0011_10 + 59448/28181*c_1100_0^7 + 184308/28181*c_1100_0^6 - 218346/28181*c_1100_0^5 - 1327042/28181*c_1100_0^4 - 850377/28181*c_1100_0^3 - 815680/28181*c_1100_0^2 - 1409256/28181*c_1100_0 - 529003/28181, c_0011_11 - 37486/28181*c_1100_0^7 - 115081/28181*c_1100_0^6 + 141590/28181*c_1100_0^5 + 834198/28181*c_1100_0^4 + 509618/28181*c_1100_0^3 + 482994/28181*c_1100_0^2 + 854489/28181*c_1100_0 + 306858/28181, c_0011_6 + 2963/28181*c_1100_0^7 + 12241/28181*c_1100_0^6 - 3701/28181*c_1100_0^5 - 84210/28181*c_1100_0^4 - 99968/28181*c_1100_0^3 - 33423/28181*c_1100_0^2 - 108228/28181*c_1100_0 - 75350/28181, c_0011_8 + 9656/28181*c_1100_0^7 + 31484/28181*c_1100_0^6 - 32405/28181*c_1100_0^5 - 225837/28181*c_1100_0^4 - 166977/28181*c_1100_0^3 - 119887/28181*c_1100_0^2 - 227992/28181*c_1100_0 - 100275/28181, c_0101_0 + 12279/28181*c_1100_0^7 + 39838/28181*c_1100_0^6 - 41911/28181*c_1100_0^5 - 285623/28181*c_1100_0^4 - 200139/28181*c_1100_0^3 - 149684/28181*c_1100_0^2 - 338115/28181*c_1100_0 - 137761/28181, c_0101_1 - 1, c_0101_11 + 2623/28181*c_1100_0^7 + 8354/28181*c_1100_0^6 - 9506/28181*c_1100_0^5 - 59786/28181*c_1100_0^4 - 33162/28181*c_1100_0^3 - 29797/28181*c_1100_0^2 - 81942/28181*c_1100_0 - 9305/28181, c_0101_5 + 9305/28181*c_1100_0^7 + 30538/28181*c_1100_0^6 - 28866/28181*c_1100_0^5 - 214216/28181*c_1100_0^4 - 171446/28181*c_1100_0^3 - 144822/28181*c_1100_0^2 - 234507/28181*c_1100_0 - 109591/28181, c_0110_5 + 9587/28181*c_1100_0^7 + 24313/28181*c_1100_0^6 - 48088/28181*c_1100_0^5 - 185737/28181*c_1100_0^4 - 40198/28181*c_1100_0^3 - 140204/28181*c_1100_0^2 - 172429/28181*c_1100_0 - 9374/28181, c_1001_0 + 12279/28181*c_1100_0^7 + 39838/28181*c_1100_0^6 - 41911/28181*c_1100_0^5 - 285623/28181*c_1100_0^4 - 200139/28181*c_1100_0^3 - 149684/28181*c_1100_0^2 - 309934/28181*c_1100_0 - 137761/28181, c_1100_0^8 + 3*c_1100_0^7 - 4*c_1100_0^6 - 22*c_1100_0^5 - 12*c_1100_0^4 - 12*c_1100_0^3 - 22*c_1100_0^2 - 6*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB