Magma V2.19-8 Tue Aug 20 2013 23:57:03 on localhost [Seed = 1225728440] Type ? for help. Type -D to quit. Loading file "L14n28586__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28586 geometric_solution 11.19272594 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 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 0 1 0 0 0 0 0 -1 0 1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179331723518 0.949985975066 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 10 -10 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 0.808126097271 1.016426502779 6 2 2 0 0132 1230 3012 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 0 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281159649230 0.891178063088 4 4 0 6 0132 1302 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834625204856 0.932809213911 3 1 7 3 0132 0132 0132 2031 1 1 0 1 0 1 -1 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 -10 10 0 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184265336059 1.039362758577 8 9 1 6 0132 0132 0132 2103 1 1 1 1 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 -1 0 1 0 10 0 0 -10 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648347290502 0.945682703086 2 3 7 5 0132 2310 0321 2103 1 1 1 1 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 -10 10 0 0 0 0 0 0 0 0 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661140688896 0.399302401644 8 10 6 4 3201 0132 0321 0132 1 1 1 1 0 0 -1 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 10 -10 -9 0 9 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250699191705 1.299655112386 5 9 11 7 0132 3201 0132 2310 1 1 1 1 0 0 0 0 0 0 -1 1 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 1 0 9 -10 -9 0 0 9 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095076699657 1.265570680134 10 5 8 10 3201 0132 2310 0132 1 1 1 1 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 0 0 10 0 -10 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426569761441 1.079152868713 11 7 9 9 2310 0132 0132 2310 1 1 1 1 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 10 0 -10 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072205696156 0.505214001108 11 11 10 8 1302 2031 3201 0132 1 1 1 1 0 1 -1 0 -1 0 0 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 -9 9 0 9 0 0 -9 9 -9 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030776687066 1.166038148340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_6']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_0101_4']), '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'], '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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_1001_10, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 39736246686566578184502/4611424620165446075*c_1001_6^8 - 188071071996700116689762/4611424620165446075*c_1001_6^7 - 334131500156051733053717/4611424620165446075*c_1001_6^6 + 601196098220615423874466/4611424620165446075*c_1001_6^5 + 747619040177233424730662/4611424620165446075*c_1001_6^4 - 849092925535266155584304/4611424620165446075*c_1001_6^3 - 1069091384980897887732462/4611424620165446075*c_1001_6^2 + 29586881546516658114097/4611424620165446075*c_1001_6 + 212136352309386717029653/4611424620165446075, c_0011_0 - 1, c_0011_10 + 55845382141302/21793636995985*c_1001_6^8 - 294581826177877/21793636995985*c_1001_6^7 - 300662798242912/21793636995985*c_1001_6^6 + 953428796064651/21793636995985*c_1001_6^5 + 515559126938872/21793636995985*c_1001_6^4 - 1297121519191719/21793636995985*c_1001_6^3 - 823067804992852/21793636995985*c_1001_6^2 + 269961262763272/21793636995985*c_1001_6 + 162739545704078/21793636995985, c_0011_11 + 2080377161297/4358727399197*c_1001_6^8 - 9044820718366/4358727399197*c_1001_6^7 - 23371997542350/4358727399197*c_1001_6^6 + 36926887256137/4358727399197*c_1001_6^5 + 55392894680318/4358727399197*c_1001_6^4 - 66529375959882/4358727399197*c_1001_6^3 - 72134205248013/4358727399197*c_1001_6^2 + 23825160316667/4358727399197*c_1001_6 + 22617454942104/4358727399197, c_0011_2 - 67666630752648/21793636995985*c_1001_6^8 + 330259019493003/21793636995985*c_1001_6^7 + 512336040118513/21793636995985*c_1001_6^6 - 1057105866373809/21793636995985*c_1001_6^5 - 1080810718387583/21793636995985*c_1001_6^4 + 1477893378403026/21793636995985*c_1001_6^3 + 1555382396521258/21793636995985*c_1001_6^2 - 118970536022823/21793636995985*c_1001_6 - 286903912629332/21793636995985, c_0011_5 + 6860791624753/21793636995985*c_1001_6^8 - 50138959399633/21793636995985*c_1001_6^7 + 45049694999997/21793636995985*c_1001_6^6 + 141989641896019/21793636995985*c_1001_6^5 - 184120730185952/21793636995985*c_1001_6^4 - 140258409012951/21793636995985*c_1001_6^3 + 181464104776267/21793636995985*c_1001_6^2 + 65086031550728/21793636995985*c_1001_6 - 28466162311708/21793636995985, c_0101_0 - 1, c_0101_1 + 91564355911377/21793636995985*c_1001_6^8 - 453959114113772/21793636995985*c_1001_6^7 - 655120158789667/21793636995985*c_1001_6^6 + 1463123486823666/21793636995985*c_1001_6^5 + 1338328055751377/21793636995985*c_1001_6^4 - 2030827939466399/21793636995985*c_1001_6^3 - 1957045318787947/21793636995985*c_1001_6^2 + 181675600100512/21793636995985*c_1001_6 + 352311813062158/21793636995985, c_0101_10 - 13511797980101/21793636995985*c_1001_6^8 + 67195153666406/21793636995985*c_1001_6^7 + 91053316903336/21793636995985*c_1001_6^6 - 188750178706453/21793636995985*c_1001_6^5 - 196267314203736/21793636995985*c_1001_6^4 + 225225845598387/21793636995985*c_1001_6^3 + 306003457638161/21793636995985*c_1001_6^2 + 42539662905454/21793636995985*c_1001_6 - 35065898408699/21793636995985, c_0101_2 + 12499277699330/4358727399197*c_1001_6^8 - 62327604088930/4358727399197*c_1001_6^7 - 87353162029249/4358727399197*c_1001_6^6 + 200037866575017/4358727399197*c_1001_6^5 + 179189434265712/4358727399197*c_1001_6^4 - 276417791155431/4358727399197*c_1001_6^3 - 262107073481456/4358727399197*c_1001_6^2 + 28108386262221/4358727399197*c_1001_6 + 45254321284897/4358727399197, c_0101_4 + 12499277699330/4358727399197*c_1001_6^8 - 62327604088930/4358727399197*c_1001_6^7 - 87353162029249/4358727399197*c_1001_6^6 + 200037866575017/4358727399197*c_1001_6^5 + 179189434265712/4358727399197*c_1001_6^4 - 276417791155431/4358727399197*c_1001_6^3 - 262107073481456/4358727399197*c_1001_6^2 + 32467113661418/4358727399197*c_1001_6 + 49613048684094/4358727399197, c_1001_10 - 69357180121403/21793636995985*c_1001_6^8 + 361776979844283/21793636995985*c_1001_6^7 + 391716115146248/21793636995985*c_1001_6^6 - 1142178974771104/21793636995985*c_1001_6^5 - 711826441142608/21793636995985*c_1001_6^4 + 1522347364790106/21793636995985*c_1001_6^3 + 1129071262631013/21793636995985*c_1001_6^2 - 227421599857818/21793636995985*c_1001_6 - 197805444112777/21793636995985, c_1001_6^9 - 127/31*c_1001_6^8 - 355/31*c_1001_6^7 + 309/31*c_1001_6^6 + 883/31*c_1001_6^5 - 308/31*c_1001_6^4 - 1254/31*c_1001_6^3 - 488/31*c_1001_6^2 + 183/31*c_1001_6 + 101/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB