Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 4105529490] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s744 geometric_solution 5.27354737 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 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 -1 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 0.529934622315 0.351920603976 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 1.160546316871 0.517708817079 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.629378158883 0.546318636783 5 4 2 1 0132 1023 0213 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 1 0 -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 0.629378158883 0.546318636783 3 4 4 2 1023 3201 2310 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 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 0.620669614117 0.611882989121 3 5 2 5 0132 1302 0132 2031 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926967604394 1.155310735971 ==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' : d['1'], '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_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_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_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], '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_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 116490449/12071653*c_0101_4^11 + 1391012065/36214959*c_0101_4^10 + 4639127098/36214959*c_0101_4^9 - 3073729237/12071653*c_0101_4^8 - 7526981008/36214959*c_0101_4^7 + 18046730423/36214959*c_0101_4^6 + 3013220636/36214959*c_0101_4^5 - 7130833180/12071653*c_0101_4^4 - 6627564397/36214959*c_0101_4^3 + 10476119702/36214959*c_0101_4^2 + 4204329295/36214959*c_0101_4 + 268604518/12071653, c_0011_0 - 1, c_0011_1 - 7632943/48286612*c_0101_4^11 + 2626195/4389692*c_0101_4^10 + 106933033/48286612*c_0101_4^9 - 179606007/48286612*c_0101_4^8 - 100586975/24143306*c_0101_4^7 + 343513437/48286612*c_0101_4^6 + 139066685/48286612*c_0101_4^5 - 431838157/48286612*c_0101_4^4 - 231009875/48286612*c_0101_4^3 + 97007953/24143306*c_0101_4^2 + 55073265/24143306*c_0101_4 + 40188243/48286612, c_0011_3 + 4445321/12071653*c_0101_4^11 - 17684464/12071653*c_0101_4^10 - 58622832/12071653*c_0101_4^9 + 115488126/12071653*c_0101_4^8 + 90972183/12071653*c_0101_4^7 - 220512939/12071653*c_0101_4^6 - 38738041/12071653*c_0101_4^5 + 260266647/12071653*c_0101_4^4 + 90283722/12071653*c_0101_4^3 - 123550215/12071653*c_0101_4^2 - 44476535/12071653*c_0101_4 - 8429277/12071653, c_0101_0 - 12754745/24143306*c_0101_4^11 + 54155723/24143306*c_0101_4^10 + 153339777/24143306*c_0101_4^9 - 371288763/24143306*c_0101_4^8 - 76917465/12071653*c_0101_4^7 + 662790417/24143306*c_0101_4^6 - 103421799/24143306*c_0101_4^5 - 682326983/24143306*c_0101_4^4 - 58349991/24143306*c_0101_4^3 + 153642948/12071653*c_0101_4^2 + 24502800/12071653*c_0101_4 + 43671327/24143306, c_0101_1 + 2406767/17558768*c_0101_4^11 - 94708079/193146448*c_0101_4^10 - 394443659/193146448*c_0101_4^9 + 556568077/193146448*c_0101_4^8 + 437044305/96573224*c_0101_4^7 - 1136425947/193146448*c_0101_4^6 - 84158449/17558768*c_0101_4^5 + 1561587559/193146448*c_0101_4^4 + 1293711777/193146448*c_0101_4^3 - 355038249/96573224*c_0101_4^2 - 294524957/96573224*c_0101_4 + 25688219/193146448, c_0101_4^12 - 5*c_0101_4^11 - 9*c_0101_4^10 + 39*c_0101_4^9 - 8*c_0101_4^8 - 67*c_0101_4^7 + 47*c_0101_4^6 + 57*c_0101_4^5 - 41*c_0101_4^4 - 36*c_0101_4^3 + 18*c_0101_4^2 + 3*c_0101_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB