Magma V2.19-8 Tue Aug 20 2013 18:16:37 on localhost [Seed = 559978931] Type ? for help. Type -D to quit. Loading file "11_378__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_378 geometric_solution 13.34789187 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293161680962 1.314917108578 0 5 7 6 0132 0132 0132 0132 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 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 0.628891975382 0.913996660122 6 0 9 8 0321 0132 0132 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 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 0.192262893839 0.931228325098 9 10 11 0 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100634251311 1.012071644688 5 6 0 8 0132 0321 0132 0213 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 1 -1 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 0.523811408853 0.834956981248 4 1 12 13 0132 0132 0132 0132 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 -1 0 1 0 0 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726212053993 0.743212192296 2 9 1 4 0321 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.023996833257 0.967506783613 13 12 9 1 0132 0132 0213 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674965691959 0.642291403779 10 11 2 4 0213 0213 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840791042498 0.847279931760 3 7 6 2 0213 0213 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075405209135 0.816125223913 8 3 11 12 0213 0132 0213 3120 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 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 0.295586242949 0.490145530132 13 10 8 3 3120 0213 0213 0132 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309558641712 0.558259540863 10 7 13 5 3120 0132 0213 0132 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 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648051181146 0.506898876014 7 12 5 11 0132 0213 0132 3120 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 0 -1 1 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587193468169 0.550673185211 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : d['1'], 's_3_10' : 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_0011_11'], 'c_0101_10' : d['c_0011_11'], '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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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_11'], 'c_1100_8' : d['c_1010_4'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : d['c_1010_4'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1010_4'], 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : negation(d['c_0011_12']), 'c_1100_13' : negation(d['c_0011_11']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_4'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1010_8'], 's_3_1' : 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'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), '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_9'], 'c_0110_10' : d['c_0101_5'], 'c_0110_13' : d['c_0011_9'], 'c_0110_12' : d['c_0101_5'], 'c_1010_4' : d['c_1010_4'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_0']), 'c_0110_8' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0'], 'c_0101_13' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_1001_0, c_1001_1, c_1001_2, c_1001_5, c_1010_4, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 37114831551718/216799112457*c_1010_8^10 + 444591859943750/216799112457*c_1010_8^9 - 2143228214738966/216799112457*c_1010_8^8 + 584651630638288/24088790273*c_1010_8^7 - 2375066258162840/72266370819*c_1010_8^6 + 2064475177299811/72266370819*c_1010_8^5 - 4947533676972125/216799112457*c_1010_8^4 + 189210176162594/11410479603*c_1010_8^3 - 369467355829336/24088790273*c_1010_8^2 + 604033529769659/72266370819*c_1010_8 - 1658268435928072/216799112457, c_0011_0 - 1, c_0011_10 - 49499739/1267831067*c_1010_8^10 + 593530853/1267831067*c_1010_8^9 - 2879581510/1267831067*c_1010_8^8 + 7187499029/1267831067*c_1010_8^7 - 10100138839/1267831067*c_1010_8^6 + 9208413757/1267831067*c_1010_8^5 - 7034645076/1267831067*c_1010_8^4 + 4579777180/1267831067*c_1010_8^3 - 5166180346/1267831067*c_1010_8^2 + 3368976303/1267831067*c_1010_8 - 1827938401/1267831067, c_0011_11 - 27202737/1267831067*c_1010_8^10 + 335861795/1267831067*c_1010_8^9 - 1688173781/1267831067*c_1010_8^8 + 4456606016/1267831067*c_1010_8^7 - 6903544216/1267831067*c_1010_8^6 + 7128883566/1267831067*c_1010_8^5 - 5534994565/1267831067*c_1010_8^4 + 3275271144/1267831067*c_1010_8^3 - 3093279038/1267831067*c_1010_8^2 + 1982104316/1267831067*c_1010_8 - 1397924842/1267831067, c_0011_12 + 15505603/1267831067*c_1010_8^10 - 192085998/1267831067*c_1010_8^9 + 990130362/1267831067*c_1010_8^8 - 2731163812/1267831067*c_1010_8^7 + 4327242571/1267831067*c_1010_8^6 - 3939480332/1267831067*c_1010_8^5 + 2079119893/1267831067*c_1010_8^4 - 1150584066/1267831067*c_1010_8^3 + 1420492794/1267831067*c_1010_8^2 - 632126240/1267831067*c_1010_8 + 764052958/1267831067, c_0011_9 - 54302487/1267831067*c_1010_8^10 + 636397711/1267831067*c_1010_8^9 - 3013517732/1267831067*c_1010_8^8 + 7284366043/1267831067*c_1010_8^7 - 9693719474/1267831067*c_1010_8^6 + 8187168665/1267831067*c_1010_8^5 - 6488732735/1267831067*c_1010_8^4 + 5094343387/1267831067*c_1010_8^3 - 4897600651/1267831067*c_1010_8^2 + 2101036640/1267831067*c_1010_8 - 1937651155/1267831067, c_0101_0 - 52271541/1267831067*c_1010_8^10 + 600097069/1267831067*c_1010_8^9 - 2723095740/1267831067*c_1010_8^8 + 6052704550/1267831067*c_1010_8^7 - 6910912490/1267831067*c_1010_8^6 + 5048592977/1267831067*c_1010_8^5 - 4483922974/1267831067*c_1010_8^4 + 2762710442/1267831067*c_1010_8^3 - 2873709127/1267831067*c_1010_8^2 + 1373060676/1267831067*c_1010_8 - 1399515213/1267831067, c_0101_1 + 32005485/1267831067*c_1010_8^10 - 378728653/1267831067*c_1010_8^9 + 1822110003/1267831067*c_1010_8^8 - 4553473030/1267831067*c_1010_8^7 + 6497124851/1267831067*c_1010_8^6 - 6107638474/1267831067*c_1010_8^5 + 4989082224/1267831067*c_1010_8^4 - 3789837351/1267831067*c_1010_8^3 + 2824699343/1267831067*c_1010_8^2 - 714164653/1267831067*c_1010_8 + 1507637596/1267831067, c_0101_5 + 22587048/1267831067*c_1010_8^10 - 277385960/1267831067*c_1010_8^9 + 1344253679/1267831067*c_1010_8^8 - 3220726648/1267831067*c_1010_8^7 + 3973581713/1267831067*c_1010_8^6 - 2793105570/1267831067*c_1010_8^5 + 2096412867/1267831067*c_1010_8^4 - 1582842964/1267831067*c_1010_8^3 + 741069293/1267831067*c_1010_8^2 - 916338417/1267831067*c_1010_8 + 600872027/1267831067, c_1001_0 + 15505603/1267831067*c_1010_8^10 - 192085998/1267831067*c_1010_8^9 + 990130362/1267831067*c_1010_8^8 - 2731163812/1267831067*c_1010_8^7 + 4327242571/1267831067*c_1010_8^6 - 3939480332/1267831067*c_1010_8^5 + 2079119893/1267831067*c_1010_8^4 - 1150584066/1267831067*c_1010_8^3 + 1420492794/1267831067*c_1010_8^2 - 632126240/1267831067*c_1010_8 - 503778109/1267831067, c_1001_1 - 31232848/1267831067*c_1010_8^10 + 403950981/1267831067*c_1010_8^9 - 2134695219/1267831067*c_1010_8^8 + 5857393815/1267831067*c_1010_8^7 - 8915795018/1267831067*c_1010_8^6 + 7922440897/1267831067*c_1010_8^5 - 5168575372/1267831067*c_1010_8^4 + 3629892699/1267831067*c_1010_8^3 - 3281462383/1267831067*c_1010_8^2 + 1278045193/1267831067*c_1010_8 - 558340325/1267831067, c_1001_2 + 1767009/1267831067*c_1010_8^10 - 2937217/1267831067*c_1010_8^9 - 87093350/1267831067*c_1010_8^8 + 492204004/1267831067*c_1010_8^7 - 985538459/1267831067*c_1010_8^6 + 882185282/1267831067*c_1010_8^5 - 1043892627/1267831067*c_1010_8^4 + 1689368804/1267831067*c_1010_8^3 - 787319653/1267831067*c_1010_8^2 + 526769437/1267831067*c_1010_8 + 526013438/1267831067, c_1001_5 + 16261664/1267831067*c_1010_8^10 - 203206252/1267831067*c_1010_8^9 + 1033939960/1267831067*c_1010_8^8 - 2773307713/1267831067*c_1010_8^7 + 4360271273/1267831067*c_1010_8^6 - 4399874878/1267831067*c_1010_8^5 + 3046078969/1267831067*c_1010_8^4 - 2084547703/1267831067*c_1010_8^3 + 3047664366/1267831067*c_1010_8^2 - 1878473330/1267831067*c_1010_8 + 984411165/1267831067, c_1010_4 + 13738594/1267831067*c_1010_8^10 - 189148781/1267831067*c_1010_8^9 + 1077223712/1267831067*c_1010_8^8 - 3223367816/1267831067*c_1010_8^7 + 5312781030/1267831067*c_1010_8^6 - 4821665614/1267831067*c_1010_8^5 + 3123012520/1267831067*c_1010_8^4 - 2839952870/1267831067*c_1010_8^3 + 2207812447/1267831067*c_1010_8^2 - 2426726744/1267831067*c_1010_8 + 238039520/1267831067, c_1010_8^11 - 12*c_1010_8^10 + 58*c_1010_8^9 - 143*c_1010_8^8 + 195*c_1010_8^7 - 171*c_1010_8^6 + 137*c_1010_8^5 - 100*c_1010_8^4 + 92*c_1010_8^3 - 51*c_1010_8^2 + 46*c_1010_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 26.070 Total time: 26.289 seconds, Total memory usage: 419.16MB