Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 155751480] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2742 geometric_solution 5.98359327 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1302 0 0 0 0 0 0 -1 1 -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 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 0.471450866227 0.647606865972 0 3 0 4 0132 1230 2031 0132 0 0 0 0 0 -1 0 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 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 0.632768628969 0.242117923646 5 0 6 5 0132 0132 0132 0213 0 0 0 0 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 1 -1 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 0.665246401004 0.601626899756 5 4 1 0 1302 3120 3012 0132 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 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 0.254239475636 0.769588156858 5 3 1 6 2310 3120 0132 2031 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 0 0 0 0 0 0 -0.391937019631 1.297447436857 2 3 4 2 0132 2031 3201 0213 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 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 0.168899470764 0.493555575653 6 4 6 2 2031 1302 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 1.211203120376 0.816328466663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], '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_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 42088712/102235177*c_1001_2^11 - 333517571/204470354*c_1001_2^10 - 167612969/204470354*c_1001_2^9 - 3572636/9294107*c_1001_2^8 + 774465559/204470354*c_1001_2^7 + 1258932979/204470354*c_1001_2^6 + 1153317214/102235177*c_1001_2^5 - 1786446991/204470354*c_1001_2^4 - 1577589780/102235177*c_1001_2^3 + 734385040/102235177*c_1001_2^2 - 4097149311/204470354*c_1001_2 + 919460537/204470354, c_0011_0 - 1, c_0011_3 + 1185781/9294107*c_1001_2^11 + 4081194/9294107*c_1001_2^10 - 2624340/9294107*c_1001_2^9 - 9777573/9294107*c_1001_2^8 - 7775606/9294107*c_1001_2^7 + 14881423/9294107*c_1001_2^6 - 3069751/9294107*c_1001_2^5 + 5608421/9294107*c_1001_2^4 + 24160585/9294107*c_1001_2^3 - 26554104/9294107*c_1001_2^2 + 16719973/9294107*c_1001_2 - 11823072/9294107, c_0011_4 - 2720264/9294107*c_1001_2^11 - 10475933/9294107*c_1001_2^10 + 1306409/9294107*c_1001_2^9 + 19957343/9294107*c_1001_2^8 + 21471499/9294107*c_1001_2^7 - 18871459/9294107*c_1001_2^6 + 15813294/9294107*c_1001_2^5 + 309774/9294107*c_1001_2^4 - 73252699/9294107*c_1001_2^3 + 32798708/9294107*c_1001_2^2 - 31298671/9294107*c_1001_2 + 2599124/9294107, c_0101_0 + 1552952/9294107*c_1001_2^11 + 4500970/9294107*c_1001_2^10 - 6862676/9294107*c_1001_2^9 - 12023821/9294107*c_1001_2^8 + 196688/9294107*c_1001_2^7 + 26091491/9294107*c_1001_2^6 - 21167935/9294107*c_1001_2^5 - 1696967/9294107*c_1001_2^4 + 45137284/9294107*c_1001_2^3 - 45769933/9294107*c_1001_2^2 + 26130189/9294107*c_1001_2 - 1598785/9294107, c_0101_1 - 3993188/9294107*c_1001_2^11 - 17130494/9294107*c_1001_2^10 - 3601735/9294107*c_1001_2^9 + 36752981/9294107*c_1001_2^8 + 51543093/9294107*c_1001_2^7 - 21928395/9294107*c_1001_2^6 - 12870395/9294107*c_1001_2^5 + 4587309/9294107*c_1001_2^4 - 89857272/9294107*c_1001_2^3 + 3022876/9294107*c_1001_2^2 - 1013976/9294107*c_1001_2 - 390989/9294107, c_0101_2 + 3105712/9294107*c_1001_2^11 + 12351483/9294107*c_1001_2^10 - 70781/9294107*c_1001_2^9 - 23591167/9294107*c_1001_2^8 - 28924651/9294107*c_1001_2^7 + 18145396/9294107*c_1001_2^6 - 9325645/9294107*c_1001_2^5 + 2269285/9294107*c_1001_2^4 + 76875484/9294107*c_1001_2^3 - 34977848/9294107*c_1001_2^2 + 33107224/9294107*c_1001_2 - 6109959/9294107, c_1001_2^12 + 4*c_1001_2^11 - 8*c_1001_2^9 - 10*c_1001_2^8 + 6*c_1001_2^7 - 2*c_1001_2^6 + c_1001_2^5 + 25*c_1001_2^4 - 9*c_1001_2^3 + 8*c_1001_2^2 - 2*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB