Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 4223297158] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2982 geometric_solution 6.16104618 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 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 0 0 0 0 0 1 -1 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 0.683134126060 1.133281769933 0 4 0 5 0132 0132 1230 0132 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 -1 0 1 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 0.589338793929 0.346194694317 6 0 6 5 0132 0132 1023 2103 0 0 0 0 0 1 -1 0 1 0 -1 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 1.159453861645 0.964185388880 5 5 4 0 0132 3120 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.377595330546 0.458362465484 3 1 4 4 2031 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.738494429982 0.741044946796 3 3 1 2 0132 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.895148804779 0.862859959129 2 6 2 6 0132 2310 1023 3201 0 0 0 0 0 0 1 -1 -1 0 1 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 0.630834617656 0.340440243694 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_6' : negation(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_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 85949579331/13736432*c_0110_4^12 - 716464751921/13736432*c_0110_4^11 + 6722025792469/54945728*c_0110_4^10 - 1519245729093/27472864*c_0110_4^9 - 2126347230513/6868216*c_0110_4^8 + 3553313374877/54945728*c_0110_4^7 - 5015051902971/54945728*c_0110_4^6 - 20299195861375/54945728*c_0110_4^5 + 516371537903/3434108*c_0110_4^4 + 27003038363745/54945728*c_0110_4^3 + 15200793155995/54945728*c_0110_4^2 + 3375280680405/54945728*c_0110_4 + 263682413217/54945728, c_0011_0 - 1, c_0011_3 + 1433653191/6868216*c_0101_2*c_0110_4^12 - 11911334969/6868216*c_0101_2*c_0110_4^11 + 110780719761/27472864*c_0101_2*c_0110_4^10 - 23677403763/13736432*c_0101_2*c_0110_4^9 - 71425073389/6868216*c_0101_2*c_0110_4^8 + 51672741341/27472864*c_0101_2*c_0110_4^7 - 80457663439/27472864*c_0101_2*c_0110_4^6 - 341206553511/27472864*c_0101_2*c_0110_4^5 + 16086564767/3434108*c_0101_2*c_0110_4^4 + 456181877173/27472864*c_0101_2*c_0110_4^3 + 265139108371/27472864*c_0101_2*c_0110_4^2 + 60696255193/27472864*c_0101_2*c_0110_4 + 4849438353/27472864*c_0101_2, c_0101_0 + 2934205503/6868216*c_0101_2*c_0110_4^12 - 24382899761/6868216*c_0101_2*c_0110_4^11 + 226844239449/27472864*c_0101_2*c_0110_4^10 - 48478814739/13736432*c_0101_2*c_0110_4^9 - 146366722545/6868216*c_0101_2*c_0110_4^8 + 107541780501/27472864*c_0101_2*c_0110_4^7 - 163636311015/27472864*c_0101_2*c_0110_4^6 - 699732405039/27472864*c_0101_2*c_0110_4^5 + 33249291667/3434108*c_0101_2*c_0110_4^4 + 934332459741/27472864*c_0101_2*c_0110_4^3 + 539078757243/27472864*c_0101_2*c_0110_4^2 + 122318883393/27472864*c_0101_2*c_0110_4 + 9698834217/27472864*c_0101_2, c_0101_1 - 88478779/6868216*c_0101_2*c_0110_4^12 + 835779229/6868216*c_0101_2*c_0110_4^11 - 10284940285/27472864*c_0101_2*c_0110_4^10 + 5781035403/13736432*c_0101_2*c_0110_4^9 + 3068030351/6868216*c_0101_2*c_0110_4^8 - 22406143681/27472864*c_0101_2*c_0110_4^7 + 14172099811/27472864*c_0101_2*c_0110_4^6 + 13333076579/27472864*c_0101_2*c_0110_4^5 - 3822049789/3434108*c_0101_2*c_0110_4^4 - 12461364065/27472864*c_0101_2*c_0110_4^3 + 11907510337/27472864*c_0101_2*c_0110_4^2 + 6761684555/27472864*c_0101_2*c_0110_4 + 824353915/27472864*c_0101_2, c_0101_2^2 + 368242825/3434108*c_0110_4^12 - 3116648969/3434108*c_0110_4^11 + 30418299951/13736432*c_0110_4^10 - 2140440101/1717054*c_0110_4^9 - 35090463943/6868216*c_0110_4^8 + 24016047313/13736432*c_0110_4^7 - 26093933937/13736432*c_0110_4^6 - 83012644023/13736432*c_0110_4^5 + 11414276237/3434108*c_0110_4^4 + 108062978151/13736432*c_0110_4^3 + 52382415843/13736432*c_0110_4^2 + 9879406843/13736432*c_0110_4 + 622507621/13736432, c_0101_4 - 245320999/3434108*c_0110_4^12 + 2023796737/3434108*c_0110_4^11 - 18441323313/13736432*c_0110_4^10 + 3336766911/6868216*c_0110_4^9 + 12554176643/3434108*c_0110_4^8 - 6696474597/13736432*c_0110_4^7 + 11819547903/13736432*c_0110_4^6 + 60295896271/13736432*c_0110_4^5 - 2455376263/1717054*c_0110_4^4 - 80972037221/13736432*c_0110_4^3 - 48264125515/13736432*c_0110_4^2 - 11074685817/13736432*c_0110_4 - 870745065/13736432, c_0110_4^13 - 8*c_0110_4^12 + 67/4*c_0110_4^11 - 9/4*c_0110_4^10 - 105/2*c_0110_4^9 - 25/4*c_0110_4^8 - 11*c_0110_4^7 - 64*c_0110_4^6 + 17/4*c_0110_4^5 + 347/4*c_0110_4^4 + 141/2*c_0110_4^3 + 49/2*c_0110_4^2 + 4*c_0110_4 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB