Magma V2.19-8 Mon Sep 9 2013 20:34:25 on localhost [Seed = 3384144560] Type ? for help. Type -D to quit. Loading file "10_111__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_111 geometric_solution 14.26502301 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 16 1 2 2 3 0132 0132 1302 0132 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 1 0 -1 0 0 0 0 9 -9 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762103696101 0.551135258866 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 10 -10 1 -1 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.127320840780 0.878859054858 0 0 8 7 2031 0132 0132 0132 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 -1 0 1 0 0 0 0 -1 0 0 1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138429854723 0.623067028120 6 5 0 9 0132 0321 0132 0132 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 0 1 -1 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824919425672 0.640456417409 10 1 7 11 0132 0132 1302 0132 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 1 0 -1 0 0 -9 0 9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653901543924 0.331999633643 10 7 1 3 1302 1302 0132 0321 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 -10 0 10 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 0.368126045272 0.503471842452 3 12 8 1 0132 0132 0213 0132 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 0 0 0 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529652255790 0.352062458254 4 11 2 5 2031 0321 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459077230473 0.785477546005 13 6 9 2 0132 0213 3012 0132 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 0 0 0 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169219096124 0.557248490333 12 8 3 13 3120 1230 0132 1302 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 1 -1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.285766382684 0.977171729388 4 5 15 14 0132 2031 0132 0132 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 -1 1 0 -1 0 0 1 1 0 0 -1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043060818796 0.671632817476 15 14 4 7 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043060818796 0.671632817476 15 6 13 9 1302 0132 2310 3120 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 1 0 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476337313417 1.528306988254 8 12 9 14 0132 3201 2031 2103 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 0 0 0 0 0 0 1 -1 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476337313417 1.528306988254 15 11 10 13 2103 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802760377819 0.720685004099 11 12 14 10 0132 2031 2103 0132 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 1 -1 0 0 0 0 -10 0 0 10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802760377819 0.720685004099 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0011_11']), 'c_1001_14' : d['c_0011_5'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_13' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_5'], 'c_1010_15' : d['c_0011_12'], 'c_1010_14' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0011_7']), 'c_0101_14' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_13' : 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_0011_15' : negation(d['c_0011_11']), 'c_0011_14' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_9']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0101_13'], 'c_1100_3' : d['c_0101_13'], 'c_1100_2' : negation(d['c_1001_9']), 'c_1100_14' : negation(d['c_0101_8']), 'c_1100_15' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_13'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_8']), 'c_1100_13' : negation(d['c_0101_8']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_9'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : d['c_1001_2'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_8'], 's_3_14' : d['1'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_13'], '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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_13' : d['c_0101_8'], 'c_0110_12' : d['c_0011_11'], 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : d['c_0101_8'], 'c_0011_7' : d['c_0011_7'], 's_3_12' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 'c_1010_8' : d['c_1001_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_13']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_13']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_13']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_13, c_0011_5, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_13, c_0101_7, c_0101_8, c_0110_7, c_1001_1, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 161813/77*c_1001_9^5 - 40234/7*c_1001_9^4 - 165349/77*c_1001_9^3 + 518535/77*c_1001_9^2 + 532545/77*c_1001_9 + 222952/77, c_0011_0 - 1, c_0011_11 - c_1001_9^4 - c_1001_9^3 + 2*c_1001_9^2 + 2*c_1001_9 - 1, c_0011_12 - c_1001_9^5 - c_1001_9^4 + 3*c_1001_9^3 + 2*c_1001_9^2 - 3*c_1001_9, c_0011_13 - c_1001_9^5 - c_1001_9^4 + 2*c_1001_9^3 + 2*c_1001_9^2 - 2*c_1001_9, c_0011_5 + c_1001_9^5 + 2*c_1001_9^4 - 2*c_1001_9^3 - 5*c_1001_9^2 + c_1001_9 + 2, c_0011_7 + c_1001_9^4 + 2*c_1001_9^3 - c_1001_9^2 - 3*c_1001_9, c_0011_9 - c_1001_9^5 - 2*c_1001_9^4 + c_1001_9^3 + 4*c_1001_9^2 + c_1001_9 - 2, c_0101_1 + c_1001_9, c_0101_10 + c_1001_9^5 + 2*c_1001_9^4 - 2*c_1001_9^3 - 5*c_1001_9^2 + c_1001_9 + 2, c_0101_13 - c_1001_9^5 - 2*c_1001_9^4 + c_1001_9^3 + 3*c_1001_9^2, c_0101_7 + 1, c_0101_8 + c_1001_9^4 + c_1001_9^3 - 2*c_1001_9^2 - 2*c_1001_9 + 1, c_0110_7 - c_1001_9^3 - 2*c_1001_9^2 + c_1001_9 + 2, c_1001_1 - c_1001_9^5 - c_1001_9^4 + 3*c_1001_9^3 + 2*c_1001_9^2 - 3*c_1001_9, c_1001_2 - c_1001_9^5 - 2*c_1001_9^4 + c_1001_9^3 + 3*c_1001_9^2 - c_1001_9, c_1001_9^6 + 2*c_1001_9^5 - c_1001_9^4 - 4*c_1001_9^3 - c_1001_9^2 + c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 742.680 Total time: 742.889 seconds, Total memory usage: 2455.62MB