Magma V2.19-8 Tue Aug 20 2013 20:58:35 on localhost [Seed = 3120560990] Type ? for help. Type -D to quit. Loading file "9_34__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_34 geometric_solution 14.34458139 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 1 2 3 0132 1302 0132 0132 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 1 0 -1 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215737421449 0.697632136801 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 0 -1 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 -1 1 1 0 0 -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 0.711828097136 0.633198841844 6 6 5 0 0132 1230 1302 0132 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 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 0.427119176927 0.860341331872 6 7 0 8 3120 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.456531525180 1.422944387623 9 1 9 7 0132 0132 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.476724585671 0.650581263723 2 10 8 1 2031 0132 2031 0132 0 0 0 0 0 0 -1 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 0 -1 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 1.198057478157 0.955100013487 2 11 2 3 0132 0132 3012 3120 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 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 0.537057398010 0.932500052192 4 3 12 10 3201 0132 0132 1302 0 0 0 0 0 0 1 -1 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 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 0.329031057816 0.739224869829 13 14 3 5 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 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 0.602405777495 0.709300055092 4 4 11 13 0132 1230 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.750675050207 0.933304163422 13 5 7 14 3012 0132 2031 3012 0 0 0 0 0 0 -1 1 -1 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 0 0 0 0 -1 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 0.580134764212 0.734509679838 12 6 9 12 2031 0132 3120 1230 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 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 0.149807346081 0.953527227055 11 14 11 7 3012 0321 1302 0132 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 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 0.520938063477 0.584254197969 8 9 14 10 0132 1302 2103 1230 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 0 -1 1 -1 0 1 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 0.951040278217 0.700169661357 13 8 10 12 2103 0132 1230 0321 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 -1 0 0 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 1.233234477307 0.907266438483 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0110_7']), 'c_1001_13' : d['c_0011_13'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0101_13']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0110_7']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_14'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_7'], 'c_1010_13' : d['c_0101_10'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_13']), 'c_1010_14' : d['c_1001_7'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_13'], '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_2_14' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_14']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_14']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_1100_14' : d['c_0011_12'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_1001_14']), 'c_1100_13' : d['c_0011_12'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_14'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_7']), 'c_1010_4' : negation(d['c_0110_7']), 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_14'], 'c_1010_9' : d['c_0011_13'], 'c_1010_8' : d['c_1001_14'], 'c_1100_8' : d['c_0101_5'], '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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_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' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0101_7'], 'c_0110_14' : negation(d['c_0011_12']), 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_11']), 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_13'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_13'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_10'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_5, c_0101_7, c_0110_7, c_1001_14, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 173/119*c_1001_7^4 - 480/119*c_1001_7^3 + 1053/119*c_1001_7^2 - 506/119*c_1001_7 + 90/119, c_0011_0 - 1, c_0011_10 - 6/7*c_1001_7^4 - 23/7*c_1001_7^3 + 12/7*c_1001_7^2 - 8/7*c_1001_7 + 3/7, c_0011_11 + 1/7*c_1001_7^4 + 5/7*c_1001_7^3 + 5/7*c_1001_7^2 + 6/7*c_1001_7 - 4/7, c_0011_12 - 4/7*c_1001_7^4 - 13/7*c_1001_7^3 + 15/7*c_1001_7^2 - 10/7*c_1001_7 + 9/7, c_0011_13 + 6/7*c_1001_7^4 + 23/7*c_1001_7^3 - 12/7*c_1001_7^2 + 1/7*c_1001_7 - 10/7, c_0011_3 - 1, c_0101_0 + 3/7*c_1001_7^4 + 8/7*c_1001_7^3 - 20/7*c_1001_7^2 + 11/7*c_1001_7 - 5/7, c_0101_1 - 4/7*c_1001_7^4 - 13/7*c_1001_7^3 + 15/7*c_1001_7^2 - 17/7*c_1001_7 + 2/7, c_0101_10 + 3/7*c_1001_7^4 + 8/7*c_1001_7^3 - 20/7*c_1001_7^2 + 4/7*c_1001_7 - 12/7, c_0101_13 - 1/7*c_1001_7^4 - 5/7*c_1001_7^3 - 5/7*c_1001_7^2 - 6/7*c_1001_7 + 4/7, c_0101_5 + 5/7*c_1001_7^4 + 18/7*c_1001_7^3 - 17/7*c_1001_7^2 + 2/7*c_1001_7 + 1/7, c_0101_7 + 3/7*c_1001_7^4 + 15/7*c_1001_7^3 + 8/7*c_1001_7^2 - 3/7*c_1001_7 + 9/7, c_0110_7 + 3/7*c_1001_7^4 + 15/7*c_1001_7^3 + 8/7*c_1001_7^2 - 3/7*c_1001_7 - 5/7, c_1001_14 - 1, c_1001_7^5 + 3*c_1001_7^4 - 5*c_1001_7^3 + 3*c_1001_7^2 - 2*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 87.770 Total time: 87.980 seconds, Total memory usage: 425.22MB