Magma V2.19-8 Mon Sep 9 2013 19:25:02 on localhost [Seed = 1896709080] Type ? for help. Type -D to quit. Loading file "10^2_33__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_33 geometric_solution 14.95883151 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 0 1 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 -1 0 1 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 0.582138079378 0.864195152332 0 5 7 6 0132 0132 0132 0132 0 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 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 0.000000000000 1.000000000000 8 0 10 9 0132 0132 0132 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 1 -1 0 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346075838460 0.853559401753 8 11 6 0 2031 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 -1 0 0 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 0.453487024088 0.937872700339 8 11 0 7 3012 0321 0132 0132 0 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 0 0 0 0 0 0 -1 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 0 0 0 0 0.463822026698 0.795966492708 8 1 6 7 1023 0132 2103 3120 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 -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 -0.000000000000 1.000000000000 5 7 1 3 2103 0132 0132 0132 0 1 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 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 1.000000000000 1.000000000000 5 6 4 1 3120 0132 0132 0132 0 1 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 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 0.500000000000 0.500000000000 2 5 3 4 0132 1023 1302 1230 1 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 0 1 -1 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582138079378 0.864195152332 11 12 2 13 0213 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 0 0 0 -1 0 0 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.567387435901 1.365924686873 13 14 15 2 0132 0132 0132 0132 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 -1 1 0 0 0 0 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324835968798 1.011550248346 9 3 14 4 0213 0132 0321 0321 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 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 0.592051482148 1.006161812373 13 9 15 14 3120 0132 3120 0213 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 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678600171910 0.504038370366 10 15 9 12 0132 3120 0132 3120 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 -1 1 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678600171910 0.504038370366 15 10 11 12 0213 0132 0321 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712216785318 0.896166712565 14 13 12 10 0213 3120 3120 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 -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 0.031973433639 0.346129594407 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_1001_12']), 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_10'], 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_14'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_14'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_13' : negation(d['c_0011_12']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_14'], 'c_1010_15' : d['c_0011_10'], 'c_1010_14' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0011_10']), 'c_0101_14' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : negation(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_15' : d['c_0011_12'], 'c_0011_14' : negation(d['c_0011_10']), 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0101_3'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 'c_1100_15' : negation(d['c_0101_12']), 'c_1100_14' : d['c_1001_0'], 'c_1100_11' : d['c_1001_14'], 'c_1100_10' : negation(d['c_0101_12']), 'c_1100_13' : negation(d['c_0101_12']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_6'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_14'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_12'], 's_0_15' : d['1'], 's_3_1' : negation(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' : negation(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_0011_10'], 's_1_7' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), '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_6']), '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0011_4'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], '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_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_0101_13' : d['c_0011_4']})} 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_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_1001_0, c_1001_12, c_1001_14, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 13959168/3509*c_1001_14^4*c_1100_0 - 13959168/3509*c_1001_14^4 + 19460096/3509*c_1001_14^3*c_1100_0 - 19460096/3509*c_1001_14^3 + 350208/121*c_1001_14^2*c_1100_0 + 350208/121*c_1001_14^2 + 1551360/3509*c_1001_14*c_1100_0 - 1551360/3509*c_1001_14 + 1027584/3509*c_1100_0 + 1027584/3509, c_0011_0 - 1, c_0011_10 + 8*c_1001_14^4 - 12*c_1001_14^3*c_1100_0 - 6*c_1001_14^2 - 1/2, c_0011_11 + c_1001_14, c_0011_12 - 2*c_1001_14^2 + 2*c_1001_14*c_1100_0 + 1, c_0011_4 + c_1001_14*c_1100_0 + 1, c_0011_6 - 1/2*c_1100_0 + 1/2, c_0101_0 - 1, c_0101_1 - c_1100_0, c_0101_10 + 8*c_1001_14^4*c_1100_0 + 8*c_1001_14^3 - 4*c_1001_14^2*c_1100_0, c_0101_12 - 2*c_1001_14^2 + 2*c_1001_14*c_1100_0 + 1, c_0101_3 - 1, c_1001_0 - c_1001_14*c_1100_0 - 1, c_1001_12 + 4*c_1001_14^3 - 8*c_1001_14^2*c_1100_0 - 7*c_1001_14 + 2*c_1100_0, c_1001_14^5 - 3/2*c_1001_14^4*c_1100_0 - c_1001_14^3 + 1/8*c_1001_14^2*c_1100_0 - 1/16*c_1001_14 + 1/32*c_1100_0, c_1001_3 - 1, c_1100_0^2 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_1001_0, c_1001_12, c_1001_14, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 276331/40*c_1001_14^6*c_1100_0 + 276331/40*c_1001_14^6 - 2278723/80*c_1001_14^5*c_1100_0 - 2278723/80*c_1001_14^5 + 1138959/20*c_1001_14^4*c_1100_0 - 1138959/20*c_1001_14^4 + 22300069/320*c_1001_14^3*c_1100_0 + 22300069/320*c_1001_14^3 - 34217049/640*c_1001_14^2*c_1100_0 + 34217049/640*c_1001_14^2 - 31708071/1280*c_1001_14*c_1100_0 - 31708071/1280*c_1001_14 + 3528351/640*c_1100_0 - 3528351/640, c_0011_0 - 1, c_0011_10 - 16*c_1001_14^6 + 56*c_1001_14^5*c_1100_0 + 96*c_1001_14^4 - 98*c_1001_14^3*c_1100_0 - 59*c_1001_14^2 + 39/2*c_1001_14*c_1100_0 + 2, c_0011_11 + c_1001_14, c_0011_12 - 2*c_1001_14^2 + 2*c_1001_14*c_1100_0 + 1, c_0011_4 - c_1001_14*c_1100_0 - 1, c_0011_6 - 1/2*c_1100_0 - 1/2, c_0101_0 - 1, c_0101_1 + c_1100_0, c_0101_10 - 8*c_1001_14^6*c_1100_0 - 36*c_1001_14^5 + 72*c_1001_14^4*c_1100_0 + 87*c_1001_14^3 - 131/2*c_1001_14^2*c_1100_0 - 117/4*c_1001_14 + 13/2*c_1100_0, c_0101_12 - 2*c_1001_14^2 + 2*c_1001_14*c_1100_0 + 1, c_0101_3 + 1, c_1001_0 + c_1001_14*c_1100_0 + 1, c_1001_12 + 4*c_1001_14^3 - 8*c_1001_14^2*c_1100_0 - 7*c_1001_14 + 2*c_1100_0, c_1001_14^7 - 9/2*c_1001_14^6*c_1100_0 - 10*c_1001_14^5 + 111/8*c_1001_14^4*c_1100_0 + 203/16*c_1001_14^3 - 245/32*c_1001_14^2*c_1100_0 - 45/16*c_1001_14 + 1/2*c_1100_0, c_1001_3 - 1, c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.260 Total time: 7.480 seconds, Total memory usage: 81.81MB