Magma V2.19-8 Tue Aug 20 2013 17:59:53 on localhost [Seed = 880115912] Type ? for help. Type -D to quit. Loading file "10^3_17__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_17 geometric_solution 13.27186974 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 2 3 0132 0132 1302 0132 1 2 2 0 0 0 0 0 -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 -1 1 0 1 0 -2 1 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013406915319 1.124091048574 0 4 5 4 0132 0132 0132 1230 1 2 0 2 0 1 -1 0 1 0 0 -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 -1 1 0 -1 0 0 1 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384923314753 0.898917404707 0 0 7 6 2031 0132 0132 0132 1 1 0 2 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 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 0.557575175644 0.490746389439 8 7 0 9 0132 0132 0132 0132 1 2 1 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 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 0.431816076850 0.398734734611 1 1 10 8 3012 0132 0132 0321 1 1 2 0 0 -1 1 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 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518451863150 0.757702924638 11 10 7 1 0132 1230 3201 0132 1 2 2 1 0 -1 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 1 -1 0 0 0 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473207865334 1.123300808476 9 12 2 7 1302 0132 0132 3012 1 1 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 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 -0.010608747506 0.889481124050 5 3 6 2 2310 0132 1230 0132 1 1 2 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 1 0 0 -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 0.780455377012 0.908353685363 3 4 12 13 0132 0321 3120 0132 1 2 2 1 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 -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 0.473207865334 1.123300808476 12 6 3 11 3120 2031 0132 2103 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013406915319 1.124091048574 13 13 5 4 1023 0321 3012 0132 1 1 0 2 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 0 0 0 0 0 0 -1 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 0.518451863150 0.757702924638 5 12 13 9 0132 2031 2103 2103 0 2 1 2 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 -1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780455377012 0.908353685363 11 6 8 9 1302 0132 3120 3120 1 2 0 1 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 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 -0.249994024787 1.154232235572 11 10 8 10 2103 1023 0132 0321 1 2 0 2 0 1 0 -1 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 0.384923314753 0.898917404707 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_13' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0110_6']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0101_7'], 'c_1010_13' : d['c_0101_4'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0101_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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : d['c_0110_6'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_7'], 'c_1100_13' : d['c_0011_11'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : negation(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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_10']), 's_0_13' : d['1'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), '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_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' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_3, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_7, c_0101_8, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2497/4775*c_1001_2^5 - 5004/955*c_1001_2^4 + 232309/9550*c_1001_2^3 - 55676/955*c_1001_2^2 + 702937/9550*c_1001_2 - 13217/382, c_0011_0 - 1, c_0011_10 + 11/191*c_1001_2^5 - 122/191*c_1001_2^4 + 587/191*c_1001_2^3 - 1451/191*c_1001_2^2 + 1680/191*c_1001_2 - 687/191, c_0011_11 - 116/955*c_1001_2^5 + 233/191*c_1001_2^4 - 5131/955*c_1001_2^3 + 2206/191*c_1001_2^2 - 11778/955*c_1001_2 + 869/191, c_0011_12 + 88/955*c_1001_2^5 - 157/191*c_1001_2^4 + 3168/955*c_1001_2^3 - 1252/191*c_1001_2^2 + 6564/955*c_1001_2 - 679/191, c_0011_3 - 19/191*c_1001_2^5 + 176/191*c_1001_2^4 - 684/191*c_1001_2^3 + 1204/191*c_1001_2^2 - 905/191*c_1001_2 + 249/191, c_0011_9 + 1, c_0101_1 - 1, c_0101_10 - 62/955*c_1001_2^5 + 141/191*c_1001_2^4 - 3187/955*c_1001_2^3 + 1403/191*c_1001_2^2 - 7316/955*c_1001_2 + 639/191, c_0101_2 - c_1001_2 + 1, c_0101_4 - 33/955*c_1001_2^5 + 35/191*c_1001_2^4 - 233/955*c_1001_2^3 - 199/191*c_1001_2^2 + 2791/955*c_1001_2 - 390/191, c_0101_7 + 88/955*c_1001_2^5 - 157/191*c_1001_2^4 + 3168/955*c_1001_2^3 - 1252/191*c_1001_2^2 + 6564/955*c_1001_2 - 488/191, c_0101_8 + 7/955*c_1001_2^5 - 19/191*c_1001_2^4 + 252/955*c_1001_2^3 + 48/191*c_1001_2^2 - 2039/955*c_1001_2 + 430/191, c_0110_6 - 1, c_1001_2^6 - 10*c_1001_2^5 + 46*c_1001_2^4 - 110*c_1001_2^3 + 143*c_1001_2^2 - 90*c_1001_2 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB