Magma V2.19-8 Tue Aug 20 2013 17:56:14 on localhost [Seed = 2901220194] Type ? for help. Type -D to quit. Loading file "8^2_12__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 8^2_12 geometric_solution 9.65949854 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 0 0 1 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 -1 0 1 4 0 -3 -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 0.364078867237 0.738235976876 0 4 4 5 0132 0132 1302 0132 0 0 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462650527159 1.089573575135 0 0 4 5 3012 0132 0132 2031 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 0 -1 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669822141060 0.777591397992 6 7 4 0 0132 0132 0321 0132 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 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898426119671 1.170963572440 1 1 3 2 2031 0132 0321 0132 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 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 0.669822141060 0.777591397992 7 2 1 6 2103 1302 0132 2103 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 4 0 -4 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073525783462 0.847619622190 3 8 9 5 0132 0132 0132 2103 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 -1 1 3 0 -3 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 0.516130143441 0.941554616839 9 3 5 8 0132 0132 2103 0132 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 -4 4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516130143441 0.941554616839 9 6 7 9 1023 0132 0132 0132 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 1 0 -4 3 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.033155686520 0.765885817710 7 8 8 6 0132 1023 0132 0132 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 0 1 0 0 -3 3 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.033155686520 0.765885817710 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_1001_3'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(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' : negation(d['c_0110_5']), 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_3'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_8'], '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'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_3'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 13406305/3252236*c_0110_5^7 + 15971533/1626118*c_0110_5^6 - 12739108/813059*c_0110_5^5 + 9246561/813059*c_0110_5^4 - 25131291/1626118*c_0110_5^3 + 10419226/813059*c_0110_5^2 - 14737071/1626118*c_0110_5 + 1646156/813059, c_0011_0 - 1, c_0011_3 + c_0110_5, c_0011_5 + 430/4811*c_0110_5^7 - 6281/4811*c_0110_5^6 + 9440/4811*c_0110_5^5 - 18043/4811*c_0110_5^4 + 10848/4811*c_0110_5^3 - 25052/4811*c_0110_5^2 + 5504/4811*c_0110_5 - 11249/4811, c_0101_0 - 1, c_0101_2 - 1075/283*c_0110_5^7 + 845/283*c_0110_5^6 - 1526/283*c_0110_5^5 - 597/283*c_0110_5^4 - 3348/283*c_0110_5^3 - 1328/283*c_0110_5^2 - 1308/283*c_0110_5 - 319/283, c_0101_3 - 430/4811*c_0110_5^7 + 6281/4811*c_0110_5^6 - 9440/4811*c_0110_5^5 + 18043/4811*c_0110_5^4 - 10848/4811*c_0110_5^3 + 25052/4811*c_0110_5^2 - 5504/4811*c_0110_5 + 11249/4811, c_0101_8 - 3090/4811*c_0110_5^7 + 4298/4811*c_0110_5^6 - 6524/4811*c_0110_5^5 + 3453/4811*c_0110_5^4 - 10824/4811*c_0110_5^3 + 899/4811*c_0110_5^2 - 1064/4811*c_0110_5 + 2741/4811, c_0110_2 - 17845/4811*c_0110_5^7 + 8084/4811*c_0110_5^6 - 16502/4811*c_0110_5^5 - 28192/4811*c_0110_5^4 - 46068/4811*c_0110_5^3 - 47628/4811*c_0110_5^2 - 16732/4811*c_0110_5 - 16672/4811, c_0110_5^8 - 6/5*c_0110_5^7 + 12/5*c_0110_5^6 - 4/5*c_0110_5^5 + 4*c_0110_5^4 + 12/5*c_0110_5^2 + 2/5, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB