Magma V2.19-8 Wed Aug 21 2013 00:54:57 on localhost [Seed = 3296911032] Type ? for help. Type -D to quit. Loading file "L12n795__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n795 geometric_solution 12.06512405 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 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 0 0 0 0 0.198313179833 1.139211467859 0 5 6 2 0132 0132 0132 0213 1 1 1 1 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 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 0.319586207396 0.879939809089 7 0 8 1 0132 0132 0132 0213 1 1 1 1 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 -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 0.834968980643 1.192772933477 9 10 11 0 0132 0132 0132 0132 1 1 1 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 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 0.596600240229 0.541381655398 12 6 0 7 0132 0132 0132 0213 1 1 1 1 0 0 1 -1 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416454604972 0.966795270570 7 1 6 11 1023 0132 3201 3012 1 1 1 1 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 0 0 0 0 0 0 0 0 1 0 -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 0 0.085458873930 0.558965967883 5 4 10 1 2310 0132 0321 0132 1 1 1 1 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 -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 0.274152209239 0.673978167345 2 5 9 4 0132 1023 0321 0213 1 1 1 1 0 -1 0 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 -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 0.318272691183 1.075920953768 12 11 10 2 2310 3012 1302 0132 1 1 1 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 1 0 -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 0.166218160332 0.533455773418 3 10 7 12 0132 0321 0321 2103 1 1 0 1 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 0.785559827745 0.411608174432 8 3 6 9 2031 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518433149386 1.314173251759 8 12 5 3 1230 2103 1230 0132 1 1 0 1 0 1 0 -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 0 0 0 0 1 -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 0.475506265195 0.493388527156 4 11 8 9 0132 2103 3201 2103 0 1 1 1 0 -1 0 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 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 1.308799109736 1.764789834495 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : 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_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_5'], 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_8']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_12'], '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_0011_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_5, c_1001_0, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 20712397984287/2103341215712*c_1001_6^8 - 690683511414487/22085082764976*c_1001_6^7 - 311108155958113/5521270691244*c_1001_6^6 - 5417885552392001/44170165529952*c_1001_6^5 - 3322425901344273/14723388509984*c_1001_6^4 - 1512962417314819/7361694254992*c_1001_6^3 - 163212405884881/4015469593632*c_1001_6^2 + 248598573614195/6310023647136*c_1001_6 + 172873441063537/11042541382488, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 160295527/47050403*c_1001_6^8 + 138913917/47050403*c_1001_6^7 + 365685238/47050403*c_1001_6^6 + 965881422/47050403*c_1001_6^5 + 1035513287/47050403*c_1001_6^4 - 244142510/47050403*c_1001_6^3 + 128217856/47050403*c_1001_6^2 + 327887406/47050403*c_1001_6 + 1026353/47050403, c_0011_8 + 121743041/94100806*c_1001_6^8 + 48569475/47050403*c_1001_6^7 + 117155176/47050403*c_1001_6^6 + 707789283/94100806*c_1001_6^5 + 638793063/94100806*c_1001_6^4 - 189732369/47050403*c_1001_6^3 - 37422881/94100806*c_1001_6^2 + 290180049/94100806*c_1001_6 - 19967816/47050403, c_0101_0 - 14128919/94100806*c_1001_6^8 - 25875095/47050403*c_1001_6^7 - 32894895/47050403*c_1001_6^6 - 193511935/94100806*c_1001_6^5 - 361831491/94100806*c_1001_6^4 - 131000267/47050403*c_1001_6^3 - 80442329/94100806*c_1001_6^2 - 186377861/94100806*c_1001_6 - 4727983/47050403, c_0101_1 - 58539971/94100806*c_1001_6^8 + 4061623/47050403*c_1001_6^7 - 50430283/47050403*c_1001_6^6 - 224514961/94100806*c_1001_6^5 - 74723559/94100806*c_1001_6^4 + 197265664/47050403*c_1001_6^3 - 215500665/94100806*c_1001_6^2 - 20079473/94100806*c_1001_6 + 41682376/47050403, c_0101_10 - 244137047/94100806*c_1001_6^8 - 92206533/47050403*c_1001_6^7 - 266053714/47050403*c_1001_6^6 - 1418839055/94100806*c_1001_6^5 - 1426639657/94100806*c_1001_6^4 + 249131751/47050403*c_1001_6^3 - 308312813/94100806*c_1001_6^2 - 548532003/94100806*c_1001_6 + 39241634/47050403, c_0101_11 - 190486205/94100806*c_1001_6^8 - 87906380/47050403*c_1001_6^7 - 223815325/47050403*c_1001_6^6 - 1183377879/94100806*c_1001_6^5 - 1294478251/94100806*c_1001_6^4 + 83894853/47050403*c_1001_6^3 - 158922457/94100806*c_1001_6^2 - 384800893/94100806*c_1001_6 + 25282461/47050403, c_0101_12 + 4497822/47050403*c_1001_6^8 + 69356751/47050403*c_1001_6^7 + 66173310/47050403*c_1001_6^6 + 188529980/47050403*c_1001_6^5 + 422340256/47050403*c_1001_6^4 + 437460174/47050403*c_1001_6^3 - 41971842/47050403*c_1001_6^2 + 97525122/47050403*c_1001_6 + 112756652/47050403, c_0110_5 - 54359067/47050403*c_1001_6^8 + 10561308/47050403*c_1001_6^7 - 76145829/47050403*c_1001_6^6 - 204217120/47050403*c_1001_6^5 - 5845929/47050403*c_1001_6^4 + 424016040/47050403*c_1001_6^3 - 148032597/47050403*c_1001_6^2 - 76732941/47050403*c_1001_6 + 129641382/47050403, c_1001_0 + 35782439/47050403*c_1001_6^8 + 55069160/47050403*c_1001_6^7 + 91439630/47050403*c_1001_6^6 + 261935002/47050403*c_1001_6^5 + 350912382/47050403*c_1001_6^4 + 37018007/47050403*c_1001_6^3 - 58993705/47050403*c_1001_6^2 + 78396820/47050403*c_1001_6 + 20940787/47050403, c_1001_3 + 130104849/94100806*c_1001_6^8 + 51007537/47050403*c_1001_6^7 + 141869913/47050403*c_1001_6^6 + 748384965/94100806*c_1001_6^5 + 776548323/94100806*c_1001_6^4 - 160247657/47050403*c_1001_6^3 + 97513255/94100806*c_1001_6^2 + 176873113/94100806*c_1001_6 - 20741589/47050403, c_1001_6^9 + 8/7*c_1001_6^8 + 16/7*c_1001_6^7 + 45/7*c_1001_6^6 + 53/7*c_1001_6^5 - 8/7*c_1001_6^4 - 9/7*c_1001_6^3 + 17/7*c_1001_6^2 + 2/7*c_1001_6 - 4/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.650 seconds, Total memory usage: 32.09MB