Magma V2.19-8 Wed Aug 21 2013 00:57:55 on localhost [Seed = 2631566910] Type ? for help. Type -D to quit. Loading file "L13n4603__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4603 geometric_solution 11.63108079 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -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 0.915351638679 1.003816498926 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 -1 2 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192565892602 0.756869293623 8 0 9 7 0132 0132 0132 1230 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 -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 0.239991486243 1.334264213905 10 9 4 0 0132 0132 0213 0132 1 1 0 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 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854665229276 0.460530135083 11 3 0 6 0132 0213 0132 2103 1 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 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 0 0 0 0.323885364303 0.609444272530 8 1 9 8 1023 0132 2103 2103 1 1 1 0 0 0 0 0 -1 0 0 1 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 2 0 0 -2 0 3 0 -3 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.760008513757 1.334264213905 10 12 1 4 2103 0132 0132 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320031470291 1.279474072016 2 10 11 1 3012 2103 3120 0132 1 1 1 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 -1 0 -1 0 0 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518364648814 0.787198186980 2 5 12 5 0132 1023 1302 2103 1 1 1 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 -2 -1 3 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360813418715 0.273533013463 5 3 11 2 2103 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869417752022 0.725989172262 3 7 6 12 0132 2103 2103 3012 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 -3 3 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 0.854665229276 0.460530135083 4 12 7 9 0132 2310 3120 3012 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 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 0.684283402710 1.240906137357 8 6 10 11 2031 0132 1230 3201 1 1 0 1 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 1 0 -1 0 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083412775502 0.989164101509 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0110_6'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : 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_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0110_6'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0101_12'], '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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(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_0101_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), '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_0101_5'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], '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_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 105709891/18065888*c_0110_6^9 + 466012813/18065888*c_0110_6^8 - 251800431/2258236*c_0110_6^7 - 40369583/2258236*c_0110_6^6 + 1055634931/9032944*c_0110_6^5 - 252533579/2258236*c_0110_6^4 - 263430291/2258236*c_0110_6^3 + 168058143/2258236*c_0110_6^2 + 253288331/18065888*c_0110_6 + 2378825/1129118, c_0011_0 - 1, c_0011_10 - 419449/1129118*c_0110_6^9 + 1819993/1129118*c_0110_6^8 - 4020950/564559*c_0110_6^7 - 546671/564559*c_0110_6^6 + 2482540/564559*c_0110_6^5 - 4120097/564559*c_0110_6^4 - 3751198/564559*c_0110_6^3 + 515857/564559*c_0110_6^2 - 556807/1129118*c_0110_6 + 1321594/564559, c_0011_11 + 579288/564559*c_0110_6^9 - 2531005/564559*c_0110_6^8 + 11141906/564559*c_0110_6^7 + 1278194/564559*c_0110_6^6 - 7509028/564559*c_0110_6^5 + 10762151/564559*c_0110_6^4 + 7490894/564559*c_0110_6^3 - 1733700/564559*c_0110_6^2 + 1781021/564559*c_0110_6 - 3584523/564559, c_0011_12 + 419449/1129118*c_0110_6^9 - 1819993/1129118*c_0110_6^8 + 4020950/564559*c_0110_6^7 + 546671/564559*c_0110_6^6 - 2482540/564559*c_0110_6^5 + 4120097/564559*c_0110_6^4 + 3751198/564559*c_0110_6^3 - 515857/564559*c_0110_6^2 + 556807/1129118*c_0110_6 - 1321594/564559, c_0101_0 - 588673/1129118*c_0110_6^9 + 2570845/1129118*c_0110_6^8 - 5694040/564559*c_0110_6^7 - 507936/564559*c_0110_6^6 + 3149537/564559*c_0110_6^5 - 5543970/564559*c_0110_6^4 - 3467395/564559*c_0110_6^3 + 1369781/564559*c_0110_6^2 - 1126041/1129118*c_0110_6 + 1834456/564559, c_0101_1 - 1, c_0101_11 + 365435/564559*c_0110_6^9 - 1602430/564559*c_0110_6^8 + 7071074/564559*c_0110_6^7 + 601004/564559*c_0110_6^6 - 4299337/564559*c_0110_6^5 + 6332318/564559*c_0110_6^4 + 5217756/564559*c_0110_6^3 - 1115419/564559*c_0110_6^2 + 485222/564559*c_0110_6 - 2317152/564559, c_0101_12 + 166121/564559*c_0110_6^9 - 728957/564559*c_0110_6^8 + 3248725/564559*c_0110_6^7 + 117001/564559*c_0110_6^6 - 1315785/564559*c_0110_6^5 + 2877364/564559*c_0110_6^4 + 1787091/564559*c_0110_6^3 + 452608/564559*c_0110_6^2 + 775867/564559*c_0110_6 - 1093349/564559, c_0101_2 + 920915/1129118*c_0110_6^9 - 4028759/1129118*c_0110_6^8 + 8942765/564559*c_0110_6^7 + 624937/564559*c_0110_6^6 - 4465322/564559*c_0110_6^5 + 8421334/564559*c_0110_6^4 + 5254486/564559*c_0110_6^3 - 917173/564559*c_0110_6^2 + 3806893/1129118*c_0110_6 - 2927805/564559, c_0101_5 + 1, c_0101_7 + 588673/1129118*c_0110_6^9 - 2570845/1129118*c_0110_6^8 + 5694040/564559*c_0110_6^7 + 507936/564559*c_0110_6^6 - 3149537/564559*c_0110_6^5 + 5543970/564559*c_0110_6^4 + 3467395/564559*c_0110_6^3 - 1369781/564559*c_0110_6^2 + 2255159/1129118*c_0110_6 - 1834456/564559, c_0110_6^10 - 5*c_0110_6^9 + 22*c_0110_6^8 - 10*c_0110_6^7 - 14*c_0110_6^6 + 26*c_0110_6^5 + 2*c_0110_6^4 - 12*c_0110_6^3 + 5*c_0110_6^2 - 8*c_0110_6 + 4, c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB