Magma V2.19-8 Thu Sep 12 2013 15:24:02 on localhost [Seed = 3850740596] Type ? for help. Type -D to quit. Loading file "10^2_153__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_153 geometric_solution 16.06080412 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 2 3 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443082295434 0.811347153465 0 4 5 4 0132 0132 0132 1230 1 0 0 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 -1 0 1 0 0 0 0 -1 -4 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631676503034 1.311057563343 0 0 5 6 2031 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 1 0 0 -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 0.481536250432 0.949381394206 7 4 0 8 0132 1302 0132 0132 1 0 1 0 0 -1 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 0 0 0 -1 1 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 1.127269594046 1.043919280492 1 1 9 3 3012 0132 0132 2031 1 1 0 0 0 1 0 -1 -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 1 0 -1 -1 0 0 1 0 0 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198607019654 0.706947119572 7 10 2 1 3120 0132 0321 0132 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 0 0 0 0 0 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 0 0 0 0 0 0 0.114454545537 0.658162009063 11 12 2 13 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.439176548387 1.575618485372 3 14 15 5 0132 0132 0132 3120 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685180786846 0.794486592719 14 10 3 15 0132 1230 0132 0132 1 0 0 1 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 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522049852141 0.726928834318 13 13 10 4 1023 0321 0132 0132 1 1 0 1 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 0.935983635608 0.871104497229 12 5 8 9 2031 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0.263343314862 1.121739252940 6 16 15 12 0132 0132 3012 1023 0 1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.730667074697 1.279329130062 14 6 10 11 2310 0132 1302 1023 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 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 0.433483481469 0.690411867450 16 9 6 9 3201 1023 0132 0321 1 1 0 1 0 0 0 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 0 0 0 1 0 1 -2 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427493871028 0.532821990328 8 7 12 16 0132 0132 3201 2310 1 0 1 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 1 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504740876163 0.554665130279 16 11 8 7 2310 1230 0132 0132 1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522049852141 0.726928834318 14 11 15 13 3201 0132 3201 2310 0 1 1 0 0 0 0 0 -1 0 0 1 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 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336626470087 0.589401197954 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_10'], 'c_1001_14' : d['c_0011_10'], 'c_1001_16' : negation(d['c_0101_14']), 'c_1001_11' : d['c_0011_13'], 'c_1001_10' : d['c_0011_14'], 'c_1001_13' : d['c_0101_9'], 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0011_14'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : d['c_0101_4'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0101_14']), 'c_1010_10' : d['c_1001_5'], 'c_1010_16' : d['c_0011_13'], 'c_1010_15' : d['c_0101_11'], 'c_1010_14' : d['c_0101_11'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_14'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_2_11' : d['1'], 's_2_16' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : negation(d['c_0011_13']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_11']), 'c_1100_9' : negation(d['c_1001_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_5'], 'c_1100_14' : negation(d['c_0011_11']), 'c_1100_15' : d['c_0101_2'], 's_0_10' : d['1'], 'c_1100_16' : d['c_0011_13'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_1001_8']), 'c_1100_13' : d['c_1001_5'], 'c_1100_12' : d['c_0101_10'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0011_14'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : 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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_13'], 'c_0011_8' : negation(d['c_0011_14']), 's_3_10' : d['1'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_14']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_14'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_9'], 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : negation(d['c_0101_14']), 'c_0110_15' : negation(d['c_0101_16']), 'c_0110_14' : negation(d['c_0101_16']), 'c_0110_16' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0011_14'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_3_14' : d['1'], 'c_0101_7' : negation(d['c_0101_16']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_16']), 's_1_16' : d['1'], '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' : negation(d['1']), 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_16']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11'], 'c_0101_13' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0101_1, c_0101_10, c_0101_11, c_0101_14, c_0101_16, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_4, c_1001_5, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 235428/1165*c_1001_8^4 + 273771/1165*c_1001_8^3 - 523329/4660*c_1001_8^2 - 186453/4660*c_1001_8 + 275093/9320, c_0011_0 - 1, c_0011_10 + 16*c_1001_8^3 - 12*c_1001_8^2 + 3*c_1001_8 + 4, c_0011_11 - 176*c_1001_8^4 + 212*c_1001_8^3 - 103*c_1001_8^2 - 32*c_1001_8 + 28, c_0011_13 - 176*c_1001_8^4 + 212*c_1001_8^3 - 103*c_1001_8^2 - 34*c_1001_8 + 27, c_0011_14 + 80*c_1001_8^4 - 92*c_1001_8^3 + 45*c_1001_8^2 + 15*c_1001_8 - 11, c_0101_1 - 80*c_1001_8^4 + 92*c_1001_8^3 - 45*c_1001_8^2 - 17*c_1001_8 + 11, c_0101_10 - 144*c_1001_8^4 + 172*c_1001_8^3 - 85*c_1001_8^2 - 26*c_1001_8 + 21, c_0101_11 + 96*c_1001_8^4 - 120*c_1001_8^3 + 58*c_1001_8^2 + 18*c_1001_8 - 16, c_0101_14 + 176*c_1001_8^4 - 212*c_1001_8^3 + 103*c_1001_8^2 + 32*c_1001_8 - 26, c_0101_16 - 1, c_0101_2 - 48*c_1001_8^4 + 52*c_1001_8^3 - 23*c_1001_8^2 - 12*c_1001_8 + 6, c_0101_4 + 80*c_1001_8^4 - 92*c_1001_8^3 + 45*c_1001_8^2 + 15*c_1001_8 - 11, c_0101_6 - 1, c_0101_9 + 160*c_1001_8^4 - 184*c_1001_8^3 + 90*c_1001_8^2 + 33*c_1001_8 - 22, c_0110_4 + 32*c_1001_8^4 - 40*c_1001_8^3 + 22*c_1001_8^2 + 5*c_1001_8 - 5, c_1001_5 + 80*c_1001_8^4 - 92*c_1001_8^3 + 45*c_1001_8^2 + 17*c_1001_8 - 11, c_1001_8^5 - 3/4*c_1001_8^4 + 1/16*c_1001_8^3 + 7/16*c_1001_8^2 - 1/16*c_1001_8 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 46.700 Total time: 46.899 seconds, Total memory usage: 1030.31MB