Magma V2.19-8 Tue Aug 20 2013 18:03:21 on localhost [Seed = 1208614349] Type ? for help. Type -D to quit. Loading file "9^2_30__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_30 geometric_solution 12.27656278 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 0 0 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 -1 1 0 0 0 1 -1 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663486560600 0.341170662744 0 5 7 6 0132 0132 0132 0132 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106244586876 0.559865424330 6 0 6 5 0132 0132 3012 3012 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 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 0.146820597476 0.848323018563 8 4 9 0 0132 0321 0132 0132 0 1 0 1 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 1 -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 0.694984177206 0.921216558895 7 5 0 3 0132 3012 0132 0321 0 1 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 0 0 0 0 0 1 -1 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985726784539 0.967576145235 4 1 2 8 1230 0132 1230 1302 1 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 1 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611798871327 0.415346263492 2 2 1 10 0132 1230 0132 0132 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 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 0.589388526324 0.586033666868 4 11 9 1 0132 0132 2103 0132 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 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 0.638430645384 0.803343095091 3 12 5 10 0132 0132 2031 2103 0 1 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 1 -1 0 -1 0 0 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 0.465884340089 1.035112525283 7 12 12 3 2103 1230 1302 0132 0 1 1 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 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 0.561549234019 0.921657855247 11 11 6 8 2031 0321 0132 2103 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 -1 0 1 1 0 0 -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 0.517896895442 0.791264748372 12 7 10 10 3120 0132 1302 0321 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 -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 0 0 0 0.517896895442 0.791264748372 9 8 9 11 2031 0132 3012 3120 0 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 -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 0.420902387341 0.884769788729 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), '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' : 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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0110_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0011_9']), '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' : negation(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' : 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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], '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_0101_0'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_5, c_0110_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2051503/210944*c_1001_5^7 + 20862353/210944*c_1001_5^6 - 37247545/105472*c_1001_5^5 + 113287637/210944*c_1001_5^4 - 91834473/210944*c_1001_5^3 + 15752571/105472*c_1001_5^2 - 8987251/210944*c_1001_5 + 3983021/210944, c_0011_0 - 1, c_0011_10 + 101/412*c_1001_5^7 - 1085/412*c_1001_5^6 + 2101/206*c_1001_5^5 - 7119/412*c_1001_5^4 + 5737/412*c_1001_5^3 - 687/206*c_1001_5^2 - 459/412*c_1001_5 + 147/412, c_0011_11 + 11/206*c_1001_5^7 - 161/206*c_1001_5^6 + 444/103*c_1001_5^5 - 2303/206*c_1001_5^4 + 3003/206*c_1001_5^3 - 1114/103*c_1001_5^2 + 413/206*c_1001_5 + 67/206, c_0011_12 + 31/103*c_1001_5^7 - 332/103*c_1001_5^6 + 1304/103*c_1001_5^5 - 2389/103*c_1001_5^4 + 2489/103*c_1001_5^3 - 1363/103*c_1001_5^2 + 471/103*c_1001_5 - 64/103, c_0011_9 + 75/103*c_1001_5^7 - 770/103*c_1001_5^6 + 2796/103*c_1001_5^5 - 4391/103*c_1001_5^4 + 3686/103*c_1001_5^3 - 1314/103*c_1001_5^2 + 269/103*c_1001_5 - 2/103, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 11/206*c_1001_5^7 - 161/206*c_1001_5^6 + 444/103*c_1001_5^5 - 2303/206*c_1001_5^4 + 3003/206*c_1001_5^3 - 1114/103*c_1001_5^2 + 619/206*c_1001_5 - 139/206, c_0101_12 + 11/206*c_1001_5^7 - 161/206*c_1001_5^6 + 444/103*c_1001_5^5 - 2303/206*c_1001_5^4 + 3003/206*c_1001_5^3 - 1114/103*c_1001_5^2 + 619/206*c_1001_5 - 139/206, c_0101_3 - 31/103*c_1001_5^7 + 332/103*c_1001_5^6 - 1304/103*c_1001_5^5 + 2389/103*c_1001_5^4 - 2489/103*c_1001_5^3 + 1363/103*c_1001_5^2 - 368/103*c_1001_5 + 64/103, c_0101_5 - 11/206*c_1001_5^7 + 161/206*c_1001_5^6 - 444/103*c_1001_5^5 + 2303/206*c_1001_5^4 - 3003/206*c_1001_5^3 + 1114/103*c_1001_5^2 - 619/206*c_1001_5 + 345/206, c_0110_10 + 31/103*c_1001_5^7 - 332/103*c_1001_5^6 + 1304/103*c_1001_5^5 - 2389/103*c_1001_5^4 + 2489/103*c_1001_5^3 - 1363/103*c_1001_5^2 + 471/103*c_1001_5 - 64/103, c_1001_5^8 - 10*c_1001_5^7 + 35*c_1001_5^6 - 53*c_1001_5^5 + 48*c_1001_5^4 - 23*c_1001_5^3 + 11*c_1001_5^2 - 2*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.360 seconds, Total memory usage: 32.09MB