Magma V2.19-8 Tue Aug 20 2013 23:43:17 on localhost [Seed = 1916016473] Type ? for help. Type -D to quit. Loading file "K13n1176__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1176 geometric_solution 10.78301279 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 1 -1 -1 0 0 1 0 -1 0 1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105434816548 0.667424356267 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106749687162 0.755188767146 8 0 9 7 0132 0132 0132 0132 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 -17 0 0 17 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352694780241 1.824843669349 7 9 10 0 0132 2031 0132 0132 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 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727285597117 0.795133584247 10 11 0 6 0132 0132 0132 0321 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 1 0 0 0 -1 1 17 -17 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856360134595 1.073713342587 8 1 10 11 1023 0132 0321 1023 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 16 0 -17 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 0.938184442097 1.206162525368 8 4 1 9 2103 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -1 0 1 0 -16 0 0 16 17 -1 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385947249332 1.125278373446 3 11 2 1 0132 1023 0132 0132 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 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707444964619 0.866363763474 2 5 6 10 0132 1023 2103 3201 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 -16 16 0 0 0 1 -1 0 0 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279649906110 0.623364252349 3 11 6 2 1302 0213 0132 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 0 0 0 0 -1 0 0 1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117912112321 0.516884262743 4 8 5 3 0132 2310 0321 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 0 0 0 0 -1 1 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856360134595 1.073713342587 7 4 9 5 1023 0132 0213 1023 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 1 0 -1 0 0 0 0 0 0 0 0 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589815384366 0.158838611928 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0110_5'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_5'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], '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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], '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_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0110_11, c_0110_5, c_1001_11, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 59977897738/492875*c_1100_1^5 - 185329696377/492875*c_1100_1^4 + 1456143574064/492875*c_1100_1^3 - 3129900656814/492875*c_1100_1^2 + 2740693347347/492875*c_1100_1 - 666441835788/492875, c_0011_0 - 1, c_0011_10 + 375/3943*c_1100_1^5 - 1136/3943*c_1100_1^4 + 8802/3943*c_1100_1^3 - 19229/3943*c_1100_1^2 + 13752/3943*c_1100_1 + 2271/3943, c_0011_6 + 376/3943*c_1100_1^5 - 1118/3943*c_1100_1^4 + 9204/3943*c_1100_1^3 - 18723/3943*c_1100_1^2 + 16533/3943*c_1100_1 - 2423/3943, c_0011_9 + c_1100_1, c_0101_0 - 582/3943*c_1100_1^5 + 1353/3943*c_1100_1^4 - 13156/3943*c_1100_1^3 + 20948/3943*c_1100_1^2 - 13741/3943*c_1100_1 - 591/3943, c_0101_1 - 376/3943*c_1100_1^5 + 1118/3943*c_1100_1^4 - 9204/3943*c_1100_1^3 + 18723/3943*c_1100_1^2 - 16533/3943*c_1100_1 + 2423/3943, c_0101_2 - 760/3943*c_1100_1^5 + 2092/3943*c_1100_1^4 - 17681/3943*c_1100_1^3 + 33398/3943*c_1100_1^2 - 19827/3943*c_1100_1 - 975/3943, c_0110_11 + 168/3943*c_1100_1^5 - 919/3943*c_1100_1^4 + 4448/3943*c_1100_1^3 - 17510/3943*c_1100_1^2 + 13763/3943*c_1100_1 + 8/3943, c_0110_5 + 375/3943*c_1100_1^5 - 1136/3943*c_1100_1^4 + 8802/3943*c_1100_1^3 - 19229/3943*c_1100_1^2 + 9809/3943*c_1100_1 + 2271/3943, c_1001_11 - 760/3943*c_1100_1^5 + 2092/3943*c_1100_1^4 - 17681/3943*c_1100_1^3 + 33398/3943*c_1100_1^2 - 19827/3943*c_1100_1 - 975/3943, c_1001_5 - 178/3943*c_1100_1^5 + 739/3943*c_1100_1^4 - 4525/3943*c_1100_1^3 + 12450/3943*c_1100_1^2 - 10029/3943*c_1100_1 - 384/3943, c_1100_1^6 - 3*c_1100_1^5 + 24*c_1100_1^4 - 50*c_1100_1^3 + 41*c_1100_1^2 - 7*c_1100_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0110_11, c_0110_5, c_1001_11, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 153695175/18700672*c_1100_1^8 + 610522889/37401344*c_1100_1^7 - 52197809/584396*c_1100_1^6 - 4724165391/37401344*c_1100_1^5 + 17466035639/37401344*c_1100_1^4 - 492972883/2337584*c_1100_1^3 - 2293240445/4675168*c_1100_1^2 + 775064125/1168792*c_1100_1 - 4803384229/18700672, c_0011_0 - 1, c_0011_10 - 75315/1168792*c_1100_1^8 + 21632/146099*c_1100_1^7 - 801113/1168792*c_1100_1^6 - 979159/1168792*c_1100_1^5 + 2650737/584396*c_1100_1^4 - 226579/146099*c_1100_1^3 - 1437213/292198*c_1100_1^2 + 3421871/584396*c_1100_1 - 489185/292198, c_0011_6 + 15485/1168792*c_1100_1^8 + 1803/292198*c_1100_1^7 + 81919/1168792*c_1100_1^6 + 635493/1168792*c_1100_1^5 - 200077/584396*c_1100_1^4 - 272751/146099*c_1100_1^3 + 286999/292198*c_1100_1^2 + 653603/584396*c_1100_1 - 363451/292198, c_0011_9 + c_1100_1, c_0101_0 + 109015/1168792*c_1100_1^8 - 62031/292198*c_1100_1^7 + 1222813/1168792*c_1100_1^6 + 1333215/1168792*c_1100_1^5 - 3430443/584396*c_1100_1^4 + 463024/146099*c_1100_1^3 + 1678753/292198*c_1100_1^2 - 4590251/584396*c_1100_1 + 942289/292198, c_0101_1 - 15485/1168792*c_1100_1^8 - 1803/292198*c_1100_1^7 - 81919/1168792*c_1100_1^6 - 635493/1168792*c_1100_1^5 + 200077/584396*c_1100_1^4 + 272751/146099*c_1100_1^3 - 286999/292198*c_1100_1^2 - 653603/584396*c_1100_1 + 363451/292198, c_0101_2 + 127835/1168792*c_1100_1^8 - 21169/146099*c_1100_1^7 + 1253689/1168792*c_1100_1^6 + 2819039/1168792*c_1100_1^5 - 2828529/584396*c_1100_1^4 - 133259/146099*c_1100_1^3 + 1956707/292198*c_1100_1^2 - 2598219/584396*c_1100_1 + 120525/292198, c_0110_11 - 89653/1168792*c_1100_1^8 + 10117/146099*c_1100_1^7 - 850471/1168792*c_1100_1^6 - 2352033/1168792*c_1100_1^5 + 1520735/584396*c_1100_1^4 + 176106/146099*c_1100_1^3 - 1020265/292198*c_1100_1^2 + 1561617/584396*c_1100_1 - 89555/292198, c_0110_5 + 75315/1168792*c_1100_1^8 - 21632/146099*c_1100_1^7 + 801113/1168792*c_1100_1^6 + 979159/1168792*c_1100_1^5 - 2650737/584396*c_1100_1^4 + 226579/146099*c_1100_1^3 + 1437213/292198*c_1100_1^2 - 3421871/584396*c_1100_1 + 489185/292198, c_1001_11 + 127835/1168792*c_1100_1^8 - 21169/146099*c_1100_1^7 + 1253689/1168792*c_1100_1^6 + 2819039/1168792*c_1100_1^5 - 2828529/584396*c_1100_1^4 - 133259/146099*c_1100_1^3 + 1956707/292198*c_1100_1^2 - 2598219/584396*c_1100_1 + 120525/292198, c_1001_5 + 31125/292198*c_1100_1^8 - 30114/146099*c_1100_1^7 + 326183/292198*c_1100_1^6 + 492177/292198*c_1100_1^5 - 907630/146099*c_1100_1^4 + 190273/146099*c_1100_1^3 + 982876/146099*c_1100_1^2 - 984162/146099*c_1100_1 + 143320/146099, c_1100_1^9 - 2*c_1100_1^8 + 11*c_1100_1^7 + 15*c_1100_1^6 - 56*c_1100_1^5 + 28*c_1100_1^4 + 52*c_1100_1^3 - 82*c_1100_1^2 + 40*c_1100_1 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.760 Total time: 0.960 seconds, Total memory usage: 64.12MB