Magma V2.19-8 Tue Aug 20 2013 17:59:37 on localhost [Seed = 509586163] Type ? for help. Type -D to quit. Loading file "10^2_73__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_73 geometric_solution 13.77553048 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 1 2 3 0132 1302 0132 0132 0 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 0 1 0 -1 -1 0 0 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 0.348047862928 0.801936164643 0 4 5 0 0132 0132 0132 2031 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 0 0 0 1 -1 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610360236663 0.750775891983 4 4 5 0 0132 1230 1302 0132 0 0 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 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348047862928 0.801936164643 4 6 0 7 3120 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195483862836 1.142889482705 2 1 2 3 0132 0132 3012 3120 0 0 0 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 0 0 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544582393531 1.049326508055 2 6 7 1 2031 2031 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.854595088019 0.850104669641 5 3 8 9 1302 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0.390666066109 0.891436631491 8 9 3 5 0132 0132 0132 1302 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 1 0 -1 0 1 0 0 -1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390666066109 0.891436631491 7 10 11 6 0132 0132 0132 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 0 -1 1 -1 0 1 0 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664446510476 0.893290575892 11 7 6 10 0132 0132 0132 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 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664446510476 0.893290575892 12 8 9 13 0132 0132 0132 0132 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 0 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453783698920 1.063794498404 9 12 13 8 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 -1 0 1 0 0 1 -1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453783698920 1.063794498404 10 11 13 13 0132 0132 0213 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 1 0 -1 0 0 1 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371641079698 0.495945338125 12 12 10 11 3120 0213 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 0 0 0 1 0 0 -1 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371641079698 0.495945338125 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_13']), 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_1001_12'], 'c_1010_13' : negation(d['c_0011_13']), 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_12'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_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' : negation(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_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 'c_1100_13' : d['c_1100_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_3']), 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_13'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_8'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), '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_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_1001_10, c_1001_12, c_1001_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1242996331/5766*c_1100_10^9 - 3176249611/11532*c_1100_10^8 - 6422899063/23064*c_1100_10^7 - 470750054/2883*c_1100_10^6 - 792222431/5766*c_1100_10^5 - 21503205011/184512*c_1100_10^4 - 28866444785/369024*c_1100_10^3 - 23419396171/738048*c_1100_10^2 - 6367229365/738048*c_1100_10 - 4548539441/2952192, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_13 - 64*c_1100_10^9 - 96*c_1100_10^8 - 112*c_1100_10^7 - 72*c_1100_10^6 - 56*c_1100_10^5 - 44*c_1100_10^4 - 35*c_1100_10^3 - 33/2*c_1100_10^2 - 5*c_1100_10 - 1/2, c_0011_3 - 64*c_1100_10^8 - 80*c_1100_10^7 - 80*c_1100_10^6 - 44*c_1100_10^5 - 40*c_1100_10^4 - 32*c_1100_10^3 - 22*c_1100_10^2 - 31/4*c_1100_10 - 11/4, c_0011_5 - 64*c_1100_10^8 - 80*c_1100_10^7 - 80*c_1100_10^6 - 44*c_1100_10^5 - 40*c_1100_10^4 - 32*c_1100_10^3 - 22*c_1100_10^2 - 31/4*c_1100_10 - 7/4, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 128*c_1100_10^9 + 192*c_1100_10^8 + 192*c_1100_10^7 + 128*c_1100_10^6 + 96*c_1100_10^5 + 84*c_1100_10^4 + 58*c_1100_10^3 + 27*c_1100_10^2 + 8*c_1100_10 + 1, c_0101_5 + 64*c_1100_10^8 + 80*c_1100_10^7 + 80*c_1100_10^6 + 44*c_1100_10^5 + 40*c_1100_10^4 + 32*c_1100_10^3 + 22*c_1100_10^2 + 31/4*c_1100_10 + 11/4, c_0101_8 - 64*c_1100_10^9 - 160*c_1100_10^8 - 176*c_1100_10^7 - 136*c_1100_10^6 - 88*c_1100_10^5 - 76*c_1100_10^4 - 59*c_1100_10^3 - 65/2*c_1100_10^2 - 21/2*c_1100_10 - 2, c_1001_10 + 64*c_1100_10^9 + 160*c_1100_10^8 + 176*c_1100_10^7 + 136*c_1100_10^6 + 88*c_1100_10^5 + 76*c_1100_10^4 + 59*c_1100_10^3 + 65/2*c_1100_10^2 + 21/2*c_1100_10 + 2, c_1001_12 - 128*c_1100_10^9 - 192*c_1100_10^8 - 192*c_1100_10^7 - 128*c_1100_10^6 - 96*c_1100_10^5 - 84*c_1100_10^4 - 58*c_1100_10^3 - 27*c_1100_10^2 - 8*c_1100_10 - 1, c_1001_3 - 64*c_1100_10^8 - 80*c_1100_10^7 - 80*c_1100_10^6 - 44*c_1100_10^5 - 40*c_1100_10^4 - 32*c_1100_10^3 - 22*c_1100_10^2 - 31/4*c_1100_10 - 7/4, c_1100_10^10 + 3/2*c_1100_10^9 + 7/4*c_1100_10^8 + 5/4*c_1100_10^7 + c_1100_10^6 + 25/32*c_1100_10^5 + 37/64*c_1100_10^4 + 39/128*c_1100_10^3 + 1/8*c_1100_10^2 + 15/512*c_1100_10 + 3/512 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_1001_10, c_1001_12, c_1001_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2415312896/58357*c_1100_10^9 + 34656264192/758641*c_1100_10^8 - 34384588800/758641*c_1100_10^7 + 12401221632/758641*c_1100_10^6 - 3013640192/758641*c_1100_10^5 - 1058954752/758641*c_1100_10^4 + 281701120/758641*c_1100_10^3 + 265352832/758641*c_1100_10^2 - 146705024/758641*c_1100_10 + 156022368/758641, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_13 + 64*c_1100_10^9 - 32*c_1100_10^8 + 16*c_1100_10^7 + 8*c_1100_10^6 - 4*c_1100_10^4 + 3*c_1100_10^3 - 3/2*c_1100_10^2 + 1/2*c_1100_10 - 1/2, c_0011_3 + 128*c_1100_10^9 - 128*c_1100_10^8 + 112*c_1100_10^7 - 16*c_1100_10^6 - 4*c_1100_10^5 + 4*c_1100_10^4 + 6*c_1100_10^3 - 9*c_1100_10^2 + 15/4*c_1100_10 - 3/2, c_0011_5 - 128*c_1100_10^9 + 128*c_1100_10^8 - 112*c_1100_10^7 + 16*c_1100_10^6 + 4*c_1100_10^5 - 4*c_1100_10^4 - 6*c_1100_10^3 + 9*c_1100_10^2 - 15/4*c_1100_10 + 5/2, c_0101_0 + 1, c_0101_1 - 1, c_0101_10 + 128*c_1100_10^9 - 128*c_1100_10^8 + 96*c_1100_10^7 - 16*c_1100_10^6 - 8*c_1100_10^5 + 4*c_1100_10^4 + 6*c_1100_10^3 - 8*c_1100_10^2 + 7/2*c_1100_10 - 3/2, c_0101_5 - 128*c_1100_10^9 + 128*c_1100_10^8 - 112*c_1100_10^7 + 16*c_1100_10^6 + 4*c_1100_10^5 - 4*c_1100_10^4 - 6*c_1100_10^3 + 9*c_1100_10^2 - 15/4*c_1100_10 + 3/2, c_0101_8 - 64*c_1100_10^9 + 96*c_1100_10^8 - 80*c_1100_10^7 + 24*c_1100_10^6 - 4*c_1100_10^4 - 3*c_1100_10^3 + 11/2*c_1100_10^2 - 3*c_1100_10 + 3/2, c_1001_10 + 64*c_1100_10^9 - 96*c_1100_10^8 + 80*c_1100_10^7 - 24*c_1100_10^6 + 4*c_1100_10^4 + 3*c_1100_10^3 - 11/2*c_1100_10^2 + 3*c_1100_10 - 3/2, c_1001_12 - 128*c_1100_10^9 + 128*c_1100_10^8 - 96*c_1100_10^7 + 16*c_1100_10^6 + 8*c_1100_10^5 - 4*c_1100_10^4 - 6*c_1100_10^3 + 8*c_1100_10^2 - 7/2*c_1100_10 + 3/2, c_1001_3 - 128*c_1100_10^9 + 128*c_1100_10^8 - 112*c_1100_10^7 + 16*c_1100_10^6 + 4*c_1100_10^5 - 4*c_1100_10^4 - 6*c_1100_10^3 + 9*c_1100_10^2 - 15/4*c_1100_10 + 5/2, c_1100_10^10 - 3/2*c_1100_10^9 + 5/4*c_1100_10^8 - 1/2*c_1100_10^7 + 1/32*c_1100_10^5 + 3/64*c_1100_10^4 - 11/128*c_1100_10^3 + 7/128*c_1100_10^2 - 13/512*c_1100_10 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.650 Total time: 0.860 seconds, Total memory usage: 32.09MB