Magma V2.19-8 Tue Aug 20 2013 23:42:05 on localhost [Seed = 1747848482] Type ? for help. Type -D to quit. Loading file "L12n821__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n821 geometric_solution 10.03793529 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 -1 1 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 -1 -1 2 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 0.074888262861 1.150373093446 0 5 7 6 0132 0132 0132 0132 0 0 1 1 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 0 0 0 -1 0 1 0 0 -2 0 2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071045588966 1.408408342834 8 0 7 9 0132 0132 3012 0132 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 0 0 0 1 0 -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 0.566357525129 0.464095341351 4 9 10 0 0132 3120 0132 0132 1 0 1 1 0 0 -1 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 0 0 0 0 0 -1 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 0.074888262861 1.150373093446 3 8 0 5 0132 3120 0132 3120 1 0 1 1 0 0 -1 1 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 -2 2 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 0.197535650401 0.768058720458 4 1 10 6 3120 0132 3120 1023 0 0 1 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 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332617339806 0.794781751639 8 9 1 5 3120 1302 0132 1023 0 0 1 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 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222003747278 0.352627888779 8 2 10 1 2103 1230 1302 0132 0 0 1 1 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 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 0.018537510212 2.015987906324 2 4 7 6 0132 3120 2103 3120 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 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 0.873509938565 0.640349622376 10 3 2 6 1302 3120 0132 2031 1 0 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 1 -1 -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 0.721645500073 0.512986924099 7 9 5 3 2031 2031 3120 0132 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 0 0 0 0 0 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 0.463916423128 0.868578265907 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_9']), 'c_1001_5' : d['c_0110_9'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0011_9']), 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_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_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0101_0']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0110_9'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_3'], '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' : negation(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' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], '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_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 49607/33795*c_0110_9^5 + 724444/101385*c_0110_9^4 - 259781/20277*c_0110_9^3 + 609152/33795*c_0110_9^2 - 260807/11265*c_0110_9 + 2306147/101385, c_0011_0 - 1, c_0011_10 - 447/751*c_0110_9^5 + 682/751*c_0110_9^4 - 962/751*c_0110_9^3 + 1505/751*c_0110_9^2 - 1465/751*c_0110_9 - 266/751, c_0011_3 + 1158/751*c_0110_9^5 - 1918/751*c_0110_9^4 + 2472/751*c_0110_9^3 - 2790/751*c_0110_9^2 + 4642/751*c_0110_9 + 1803/751, c_0011_7 + 579/751*c_0110_9^5 - 959/751*c_0110_9^4 + 1236/751*c_0110_9^3 - 1395/751*c_0110_9^2 + 2321/751*c_0110_9 + 1277/751, c_0011_9 - 315/751*c_0110_9^5 + 405/751*c_0110_9^4 - 688/751*c_0110_9^3 + 864/751*c_0110_9^2 - 1360/751*c_0110_9 - 757/751, c_0101_0 - 1, c_0101_10 - 264/751*c_0110_9^5 + 554/751*c_0110_9^4 - 548/751*c_0110_9^3 + 531/751*c_0110_9^2 - 1712/751*c_0110_9 - 520/751, c_0101_2 + 264/751*c_0110_9^5 - 554/751*c_0110_9^4 + 548/751*c_0110_9^3 - 531/751*c_0110_9^2 + 961/751*c_0110_9 + 520/751, c_0101_3 - 780/751*c_0110_9^5 + 1432/751*c_0110_9^4 - 2097/751*c_0110_9^3 + 2354/751*c_0110_9^2 - 3010/751*c_0110_9 - 444/751, c_0101_5 + 264/751*c_0110_9^5 - 554/751*c_0110_9^4 + 548/751*c_0110_9^3 - 531/751*c_0110_9^2 + 961/751*c_0110_9 + 520/751, c_0110_9^6 - 5/3*c_0110_9^5 + 7/3*c_0110_9^4 - 8/3*c_0110_9^3 + 4*c_0110_9^2 + 5/3*c_0110_9 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB